- mat_propThe name of the material property
C++ Type:MaterialPropertyName
Controllable:No
Description:The name of the material property
ElementIntegralMaterialProperty
The ElementIntegralMaterialProperty
postprocessor returns the integral of the material property over the domain. If the integral of an ADMaterialProperty
is desired, then use type = ADElementIntegralMaterialProperty
.
Description and Syntax
Compute the integral of the material property over the domain
Input Parameters
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed, the available options include FORWARD, ADJOINT, HOMOGENEOUS_FORWARD, ADJOINT_TIMESTEP_BEGIN, ADJOINT_TIMESTEP_END, NONE, INITIAL, LINEAR, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Options:FORWARD, ADJOINT, HOMOGENEOUS_FORWARD, ADJOINT_TIMESTEP_BEGIN, ADJOINT_TIMESTEP_END, NONE, INITIAL, LINEAR, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM, TRANSFER
Controllable:No
Description:The list of flag(s) indicating when this object should be executed, the available options include FORWARD, ADJOINT, HOMOGENEOUS_FORWARD, ADJOINT_TIMESTEP_BEGIN, ADJOINT_TIMESTEP_END, NONE, INITIAL, LINEAR, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM.
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Optional Parameters
- allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Controllable:No
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- execution_order_group0Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
Default:0
C++ Type:int
Controllable:No
Description:Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
- force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in POSTAUX
- force_preauxFalseForces the UserObject to be executed in PREAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREAUX
- force_preicFalseForces the UserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- outputsVector of output names where you would like to restrict the output of variables(s) associated with this object
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
Input Files
- (test/tests/multiapps/stateful_material_sub_cycling/material_sub_app_test_sub.i)
- (modules/solid_mechanics/test/tests/uel/test.i)
- (modules/solid_mechanics/test/tests/capped_mohr_coulomb/random2.i)
- (modules/combined/examples/optimization/multi-load/square_subapp_two.i)
- (modules/solid_mechanics/test/tests/uel/small_test_umat_states_fields_gradient.i)
- (modules/solid_mechanics/test/tests/capped_mohr_coulomb/random4.i)
- (modules/porous_flow/test/tests/fluids/simple_fluid_hr.i)
- (modules/combined/examples/optimization/multi-load/single_subapp_two.i)
- (modules/phase_field/test/tests/grain_growth_w_linearized_interface/linearized_interface_action.i)
- (modules/combined/examples/optimization/thermomechanical/structural_sub.i)
- (modules/combined/test/tests/optimization/compliance_sensitivity/2d_mmb_2material_cost_initial.i)
- (modules/combined/examples/optimization/helmholtz_multimat_nostrip.i)
- (modules/solid_mechanics/test/tests/capped_mohr_coulomb/random1.i)
- (modules/porous_flow/test/tests/fluids/methane.i)
- (modules/fluid_properties/test/tests/materials/ad_surface_tension_material/ad_surface_tension_material.i)
- (modules/combined/test/tests/optimization/compliance_sensitivity/2d_mbb.i)
- (modules/phase_field/test/tests/grain_growth_w_linearized_interface/grain_growth_linearized_interface.i)
- (modules/porous_flow/test/tests/actions/fullsat_brine.i)
- (modules/solid_mechanics/test/tests/uel/small_test_expanded_umat.i)
- (modules/porous_flow/test/tests/fluids/ideal_gas.i)
- (modules/porous_flow/test/tests/fluids/multicomponent.i)
- (modules/fluid_properties/test/tests/materials/ad_saturation_temperature_material/ad_saturation_temperature_material.i)
- (modules/porous_flow/test/tests/fluids/brine1_tabulated.i)
- (modules/phase_field/tutorials/spinodal_decomposition/s4_mobility.i)
- (modules/porous_flow/test/tests/fluids/simple_fluid_dy.i)
- (modules/combined/examples/phase_field-mechanics/kks_mechanics_KHS.i)
- (modules/solid_mechanics/test/tests/uel/small_test_umat_states_fields.i)
- (modules/combined/examples/optimization/three_materials.i)
- (modules/thermal_hydraulics/test/tests/components/flow_channel_1phase/phy.f_fn.3eqn.i)
- (modules/solid_mechanics/test/tests/tensile/random_smoothed.i)
- (modules/phase_field/tutorials/spinodal_decomposition/s5_energycurve.i)
- (modules/porous_flow/test/tests/fluids/simple_fluid_yr_MPa_C.i)
- (modules/solid_mechanics/test/tests/tensile/random_update.i)
- (modules/solid_mechanics/test/tests/uel/small_test_expanded.i)
- (modules/combined/test/tests/optimization/thermal_sensitivity/2d_root.i)
- (modules/combined/test/tests/optimization/compliance_sensitivity/paper_three_materials_test.i)
- (modules/solid_mechanics/test/tests/uel/small_test.i)
- (modules/solid_mechanics/test/tests/uel/reference.i)
- (modules/solid_mechanics/test/tests/tensile/random_planar.i)
- (modules/combined/examples/optimization/multi-load/single_subapp_one.i)
- (test/tests/postprocessors/element_integral_material_property/element_integral_material_property.i)
- (modules/solid_mechanics/test/tests/truss/truss_plastic.i)
- (modules/porous_flow/test/tests/fluids/brine1.i)
- (modules/porous_flow/test/tests/fluids/simple_fluid_yr_MPa_C_action.i)
- (modules/phase_field/test/tests/GrandPotentialPFM/GrandPotentialPFM.i)
- (modules/combined/test/tests/optimization/compliance_sensitivity/2d_mbb_pde.i)
- (modules/combined/test/tests/optimization/compliance_sensitivity/2d_mmb_2material_cost.i)
- (modules/thermal_hydraulics/test/tests/components/flow_channel_1phase/phy.par_fn.i)
- (modules/porous_flow/test/tests/fluids/h2o.i)
- (modules/phase_field/examples/measure_interface_energy/1Dinterface_energy.i)
- (modules/combined/examples/optimization/thermomechanical/thermal_sub.i)
- (modules/combined/examples/phase_field-mechanics/kks_mechanics_VTS.i)
- (modules/combined/examples/optimization/multi-load/square_subapp_one.i)
- (modules/combined/test/tests/optimization/compliance_sensitivity/3d_mbb.i)
- (modules/porous_flow/test/tests/fluids/simple_fluid_yr.i)
- (modules/solid_mechanics/test/tests/uel/small.i)
- (modules/solid_mechanics/test/tests/uel/small_test_uel_states_fields.i)
- (modules/combined/examples/optimization/helmholtz_multimat_strip.i)
- (test/tests/materials/active_material_props/check_active_props.i)
- (modules/phase_field/test/tests/electrochem_sintering/ElectrochemicalSintering_test.i)
- (modules/porous_flow/test/tests/fluids/simple_fluid_MPa.i)
- (modules/solid_mechanics/test/tests/capped_mohr_coulomb/random3.i)
- (modules/combined/test/tests/optimization/compliance_sensitivity/thermal_test.i)
- (modules/phase_field/test/tests/Nucleation/parallel.i)
- (modules/porous_flow/test/tests/fluids/simple_fluid.i)
- (test/tests/materials/derivative_material_interface/ad_material_chaining.i)
- (test/tests/materials/compile_time_derivative/test.i)
- (modules/solid_mechanics/test/tests/uel/small_test_uel_states_fields_gradient.i)
- (test/tests/materials/derivative_material_interface/material_chaining.i)
- (modules/porous_flow/test/tests/fluids/co2.i)
- (modules/combined/test/tests/optimization/compliance_sensitivity/three_materials_thermal.i)
- (modules/combined/test/tests/optimization/compliance_sensitivity/2d_mbb_pde_amr.i)
- (modules/combined/test/tests/optimization/compliance_sensitivity/2d_mmb_2material.i)
(test/tests/multiapps/stateful_material_sub_cycling/material_sub_app_test_sub.i)
[Problem]
solve = false
[]
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
[]
[AuxVariables]
[./x]
family = SCALAR
order = FIRST
[../]
[]
[AuxScalarKernels]
[./const_x]
type = ConstantScalarAux
variable = x
value = 0
[../]
[]
[Materials]
[./stateful]
type = StatefulMaterial
[../]
[]
[Executioner]
type = Transient
[]
[Postprocessors]
[./matl_integral]
type = ElementIntegralMaterialProperty
mat_prop = diffusivity
execute_on = timestep_end
outputs = 'console csv'
[../]
[]
[Outputs]
csv = true
[]
(modules/solid_mechanics/test/tests/uel/test.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
xmax = 10
ymax = 3
elem_type = TRI3
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[BCs]
[left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[]
[left_y]
type = DirichletBC
variable = disp_y
boundary = left
value = 0
[]
inactive = 'right_dirichlet'
[right_neumann]
type = FunctionNeumannBC
variable = disp_x
function = t
boundary = right
[]
[right_dirichlet]
type = FunctionDirichletBC
variable = disp_x
function = t/10
boundary = right
[]
[]
[UserObjects]
[uel]
type = AbaqusUserElement
variables = 'disp_x disp_y'
plugin = ../../plugins/elastic_uel_tri
use_displaced_mesh = false
num_state_vars = 8
constant_properties = '100 0.3' # E nu
[]
[]
[Problem]
kernel_coverage_check = false
[]
[Executioner]
type = Transient
dt = 1
num_steps = 15
[]
[Postprocessors]
[delta_l]
type = SideAverageValue
variable = disp_x
boundary = right
[]
[V]
type = ElementIntegralMaterialProperty
mat_prop = 1
[]
[]
[Outputs]
exodus = true
csv = true
print_linear_residuals = false
[]
(modules/solid_mechanics/test/tests/capped_mohr_coulomb/random2.i)
# Using CappedMohrCoulomb with compressive failure only
# Plasticity models:
# Compressive strength = 1 MPa
#
# Lame lambda = 1GPa. Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1234
nz = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 1234
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[ICs]
[./x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[../]
[./y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[../]
[./z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '0'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '0'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '0'
[../]
[]
[AuxVariables]
[./f0]
order = CONSTANT
family = MONOMIAL
[../]
[./f1]
order = CONSTANT
family = MONOMIAL
[../]
[./f2]
order = CONSTANT
family = MONOMIAL
[../]
[./int0]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./f0]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = f0
[../]
[./f1]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 1
variable = f1
[../]
[./f2]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 2
variable = f2
[../]
[./int0]
type = MaterialStdVectorAux
property = plastic_internal_parameter
factor = 1E6
index = 0
variable = int0
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./tot_iters]
type = ElementIntegralMaterialProperty
mat_prop = plastic_NR_iterations
outputs = console
[../]
[./raw_f0]
type = ElementExtremeValue
variable = f0
outputs = console
[../]
[./raw_f1]
type = ElementExtremeValue
variable = f1
outputs = console
[../]
[./raw_f2]
type = ElementExtremeValue
variable = f2
outputs = console
[../]
[./iter]
type = ElementExtremeValue
variable = iter
outputs = console
[../]
[./f0]
type = FunctionValuePostprocessor
function = should_be_zero0_fcn
[../]
[./f1]
type = FunctionValuePostprocessor
function = should_be_zero1_fcn
[../]
[./f2]
type = FunctionValuePostprocessor
function = should_be_zero2_fcn
[../]
[]
[Functions]
[./should_be_zero0_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f0'
[../]
[./should_be_zero1_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f1'
[../]
[./should_be_zero2_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f2'
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 1E12
[../]
[./cs]
type = SolidMechanicsHardeningCubic
value_0 = 1E6
value_residual = 0
internal_limit = 1
[../]
[./coh]
type = SolidMechanicsHardeningConstant
value = 1E12
[../]
[./ang]
type = SolidMechanicsHardeningConstant
value = 0.5
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
fill_method = symmetric_isotropic
C_ijkl = '1E9 1.3E9'
[../]
[./tensile]
type = CappedMohrCoulombStressUpdate
tensile_strength = ts
compressive_strength = cs
cohesion = coh
friction_angle = ang
dilation_angle = ang
smoothing_tol = 1E5
max_NR_iterations = 100
yield_function_tol = 1.0E-1
[../]
[./stress]
type = ComputeMultipleInelasticStress
inelastic_models = tensile
perform_finite_strain_rotations = false
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = random2
csv = true
[]
(modules/combined/examples/optimization/multi-load/square_subapp_two.i)
power = 1.0
E0 = 1.0
Emin = 1.0e-6
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[Bottom]
type = GeneratedMeshGenerator
dim = 2
nx = 100
ny = 100
xmin = 0
xmax = 150
ymin = 0
ymax = 150
[]
[left_load]
type = ExtraNodesetGenerator
input = Bottom
new_boundary = left_load
coord = '0 150 0'
[]
[right_load]
type = ExtraNodesetGenerator
input = left_load
new_boundary = right_load
coord = '150 150 0'
[]
[left_support]
type = ExtraNodesetGenerator
input = right_load
new_boundary = left_support
coord = '0 0 0'
[]
[right_support]
type = ExtraNodesetGenerator
input = left_support
new_boundary = right_support
coord = '150 0 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = SECOND
initial_condition = -1.0
[]
[Cc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = 0.25
[]
[sensitivity_var]
family = MONOMIAL
order = SECOND
initial_condition = -1.0
[]
[]
[AuxKernels]
[sensitivity_kernel]
type = MaterialRealAux
check_boundary_restricted = false
property = sensitivity
variable = sensitivity_var
execute_on = 'TIMESTEP_END'
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = left_support
value = 0.0
[]
[no_x]
type = DirichletBC
variable = disp_x
boundary = left_support
value = 0.0
[]
[no_y_right]
type = DirichletBC
variable = disp_y
boundary = right_support
value = 0.0
[]
[no_x_right]
type = DirichletBC
variable = disp_x
boundary = right_support
value = 0.0
[]
[]
[NodalKernels]
[push_right]
type = NodalGravity
variable = disp_y
boundary = right_load
gravity_value = 1e-3
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
# We do averaging in subapps
[rad_avg]
type = RadialAverage
radius = 8
weights = linear
prop_name = sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-10
dt = 1.0
num_steps = 10
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
execute_on = 'TIMESTEP_BEGIN TIMESTEP_END NONLINEAR'
[]
[objective]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
(modules/solid_mechanics/test/tests/uel/small_test_umat_states_fields_gradient.i)
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
xmax = 10
ymax = 3
elem_type = TRI3
[]
[pin]
type = ExtraNodesetGenerator
nodes = 106
new_boundary = pin
input = gen
[]
displacements = 'disp_x disp_y'
[]
[AuxVariables]
[temperature]
initial_condition = 400
[]
[voltage]
initial_condition = 210
[]
[]
[AuxKernels]
[temperature]
type = FunctionAux
function = '25* x + 40 * y + 400'
variable = temperature
[]
[voltage]
type = FunctionAux
function = '10 * x + 4 * y + 210'
variable = voltage
[]
[]
[BCs]
[left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[]
[left_y]
type = DirichletBC
variable = disp_y
boundary = pin
value = 0
[]
inactive = 'right_dirichlet'
[right_neumann]
type = FunctionNeumannBC
variable = disp_x
function = t/10
boundary = right
[]
[right_dirichlet]
type = FunctionDirichletBC
variable = disp_x
function = t/10
boundary = right
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
add_variables = true
strain = SMALL
incremental = true
extra_vector_tags = 'kernel_residual'
[]
[]
[Materials]
[umat]
type = AbaqusUMATStress
constant_properties = '100 0.3'
plugin = '../../plugins/small_elastic_tri_states'
num_state_vars = 2
use_one_based_indexing = true
temperature = 'temperature'
external_fields = 'voltage'
[]
[]
[Problem]
kernel_coverage_check = false
extra_tag_vectors = 'kernel_residual'
[]
[AuxVariables]
[res_x]
[]
[res_y]
[]
[]
[AuxKernels]
[res_x]
type = TagVectorAux
variable = res_x
v = disp_x
vector_tag = kernel_residual
[]
[res_y]
type = TagVectorAux
variable = res_y
v = disp_y
vector_tag = kernel_residual
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
dt = 1
num_steps = 15
[Quadrature]
type = GAUSS
order = CONSTANT
[]
[]
[Postprocessors]
[delta_l]
type = SideAverageValue
variable = disp_x
boundary = right
execute_on = 'INITIAL TIMESTEP_END'
[]
[V]
type = ElementIntegralMaterialProperty
mat_prop = 1
use_displaced_mesh = true
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Outputs]
exodus = true
csv = true
[]
(modules/solid_mechanics/test/tests/capped_mohr_coulomb/random4.i)
# Using CappedMohrCoulomb
# Plasticity models:
# Tensile strength = 0.1MPa
# Compressive strength = 1.0MPa
# Cohesion = 1MPa
# Friction angle = dilation angle = 0.5
#
# Lame lambda = 1GPa. Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
type = GeneratedMesh
dim = 3
nx = 100
ny = 12
nz = 1
xmin = 0
xmax = 100
ymin = 0
ymax = 12
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[ICs]
[./x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[../]
[./y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[../]
[./z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '0'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '0'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '0'
[../]
[]
[AuxVariables]
[./f0]
order = CONSTANT
family = MONOMIAL
[../]
[./f1]
order = CONSTANT
family = MONOMIAL
[../]
[./f2]
order = CONSTANT
family = MONOMIAL
[../]
[./f3]
order = CONSTANT
family = MONOMIAL
[../]
[./f4]
order = CONSTANT
family = MONOMIAL
[../]
[./f5]
order = CONSTANT
family = MONOMIAL
[../]
[./f6]
order = CONSTANT
family = MONOMIAL
[../]
[./f7]
order = CONSTANT
family = MONOMIAL
[../]
[./f8]
order = CONSTANT
family = MONOMIAL
[../]
[./f9]
order = CONSTANT
family = MONOMIAL
[../]
[./f10]
order = CONSTANT
family = MONOMIAL
[../]
[./f11]
order = CONSTANT
family = MONOMIAL
[../]
[./int0]
order = CONSTANT
family = MONOMIAL
[../]
[./int1]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./f0]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = f0
[../]
[./f1]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 1
variable = f1
[../]
[./f2]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 2
variable = f2
[../]
[./f3]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 3
variable = f3
[../]
[./f4]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 4
variable = f4
[../]
[./f5]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 5
variable = f5
[../]
[./f6]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 6
variable = f6
[../]
[./f7]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 7
variable = f7
[../]
[./f8]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 8
variable = f8
[../]
[./f9]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 9
variable = f9
[../]
[./f10]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 10
variable = f10
[../]
[./f11]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 11
variable = f11
[../]
[./int0]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 0
variable = int0
[../]
[./int1]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 1
variable = int1
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./tot_iters]
type = ElementIntegralMaterialProperty
mat_prop = plastic_NR_iterations
outputs = console
[../]
[./intnl0_max]
type = ElementExtremeValue
variable = int0
outputs = console
[../]
[./intnl1_max]
type = ElementExtremeValue
variable = int1
outputs = console
[../]
[./raw_f0]
type = ElementExtremeValue
variable = f0
outputs = console
[../]
[./raw_f1]
type = ElementExtremeValue
variable = f1
outputs = console
[../]
[./raw_f2]
type = ElementExtremeValue
variable = f2
outputs = console
[../]
[./raw_f3]
type = ElementExtremeValue
variable = f3
outputs = console
[../]
[./raw_f4]
type = ElementExtremeValue
variable = f4
outputs = console
[../]
[./raw_f5]
type = ElementExtremeValue
variable = f5
outputs = console
[../]
[./raw_f6]
type = ElementExtremeValue
variable = f6
outputs = console
[../]
[./raw_f7]
type = ElementExtremeValue
variable = f7
outputs = console
[../]
[./raw_f8]
type = ElementExtremeValue
variable = f8
outputs = console
[../]
[./raw_f9]
type = ElementExtremeValue
variable = f9
outputs = console
[../]
[./raw_f10]
type = ElementExtremeValue
variable = f10
outputs = console
[../]
[./raw_f11]
type = ElementExtremeValue
variable = f11
outputs = console
[../]
[./iter]
type = ElementExtremeValue
variable = iter
outputs = console
[../]
[./f0]
type = FunctionValuePostprocessor
function = should_be_zero0_fcn
[../]
[./f1]
type = FunctionValuePostprocessor
function = should_be_zero1_fcn
[../]
[./f2]
type = FunctionValuePostprocessor
function = should_be_zero2_fcn
[../]
[./f3]
type = FunctionValuePostprocessor
function = should_be_zero3_fcn
[../]
[./f4]
type = FunctionValuePostprocessor
function = should_be_zero4_fcn
[../]
[./f5]
type = FunctionValuePostprocessor
function = should_be_zero5_fcn
[../]
[./f6]
type = FunctionValuePostprocessor
function = should_be_zero6_fcn
[../]
[./f7]
type = FunctionValuePostprocessor
function = should_be_zero7_fcn
[../]
[./f8]
type = FunctionValuePostprocessor
function = should_be_zero8_fcn
[../]
[./f9]
type = FunctionValuePostprocessor
function = should_be_zero9_fcn
[../]
[./f10]
type = FunctionValuePostprocessor
function = should_be_zero10_fcn
[../]
[./f11]
type = FunctionValuePostprocessor
function = should_be_zero11_fcn
[../]
[]
[Functions]
[./should_be_zero0_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f0'
[../]
[./should_be_zero1_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f1'
[../]
[./should_be_zero2_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f2'
[../]
[./should_be_zero3_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f3'
[../]
[./should_be_zero4_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f4'
[../]
[./should_be_zero5_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f5'
[../]
[./should_be_zero6_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f6'
[../]
[./should_be_zero7_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f7'
[../]
[./should_be_zero8_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f8'
[../]
[./should_be_zero9_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f9'
[../]
[./should_be_zero10_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f10'
[../]
[./should_be_zero11_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f11'
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningCubic
value_0 = 1E6
value_residual = 2E6
internal_limit = 1
[../]
[./cs]
type = SolidMechanicsHardeningCubic
value_0 = 1E7
value_residual = 0.5E7
internal_limit = 1
[../]
[./coh]
type = SolidMechanicsHardeningCubic
value_0 = 2E6
value_residual = 1E6
internal_limit = 1
[../]
[./phi]
type = SolidMechanicsHardeningCubic
value_0 = 0.6
value_residual = 0.2
internal_limit = 1
[../]
[./psi]
type = SolidMechanicsHardeningCubic
value_0 = 0.5
value_residual = 0.1
internal_limit = 1
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
fill_method = symmetric_isotropic
C_ijkl = '1E9 1.3E9'
[../]
[./tensile]
type = CappedMohrCoulombStressUpdate
tensile_strength = ts
compressive_strength = cs
cohesion = coh
friction_angle = phi
dilation_angle = psi
smoothing_tol = 1E5
max_NR_iterations = 1000
yield_function_tol = 1.0E-1
[../]
[./stress]
type = ComputeMultipleInelasticStress
inelastic_models = tensile
perform_finite_strain_rotations = false
[../]
[]
[Executioner]
end_time = 1
dt = 1
dtmin = 1
type = Transient
[]
[Outputs]
file_base = random4
csv = true
[]
(modules/porous_flow/test/tests/fluids/simple_fluid_hr.i)
# Test the properties calculated by the simple fluid Material
# Time are chosen to be hours
# Pressure 10 MPa
# Temperature = 300 K (temperature unit = K)
# Density should equal 1500*exp(1E7/1E9-2E-4*300)=1426.844 kg/m^3
# Viscosity should equal 3.06E-7 Pa.hr
# Energy density should equal 4000 * 300 = 1.2E6 J/kg
# Specific enthalpy should equal 4000 * 300 + 10e6 / 1426.844 = 1.207008E6 J/kg
[FluidProperties]
[the_simple_fluid]
type = SimpleFluidProperties
thermal_expansion = 2.0E-4
cv = 4000.0
cp = 5000.0
bulk_modulus = 1.0E9
thermal_conductivity = 1.0
viscosity = 1.1E-3
density0 = 1500.0
[]
[]
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp T'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[pp]
initial_condition = 10E6
[]
[T]
initial_condition = 300.0
[]
[]
[Kernels]
[dummy_p]
type = Diffusion
variable = pp
[]
[dummy_T]
type = Diffusion
variable = T
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = T
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
temperature_unit = Kelvin
time_unit = hours
fp = the_simple_fluid
phase = 0
[]
[]
[Postprocessors]
[pressure]
type = ElementIntegralVariablePostprocessor
variable = pp
[]
[temperature]
type = ElementIntegralVariablePostprocessor
variable = T
[]
[density]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_density_qp0'
[]
[viscosity]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_viscosity_qp0'
[]
[internal_energy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_internal_energy_qp0'
[]
[enthalpy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_enthalpy_qp0'
[]
[]
[Executioner]
type = Steady
solve_type = Newton
[]
[Outputs]
execute_on = 'timestep_end'
csv = true
[]
(modules/combined/examples/optimization/multi-load/single_subapp_two.i)
power = 2
E0 = 1.0
Emin = 1.0e-6
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[Bottom]
type = GeneratedMeshGenerator
dim = 2
nx = 80
ny = 40
xmin = 0
xmax = 150
ymin = 0
ymax = 75
[]
[left_load]
type = ExtraNodesetGenerator
input = Bottom
new_boundary = left_load
coord = '37.5 75 0'
[]
[right_load]
type = ExtraNodesetGenerator
input = left_load
new_boundary = right_load
coord = '112.5 75 0'
[]
[left_support]
type = ExtraNodesetGenerator
input = right_load
new_boundary = left_support
coord = '0 0 0'
[]
[right_support]
type = ExtraNodesetGenerator
input = left_support
new_boundary = right_support
coord = '150 0 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = SECOND
initial_condition = -1.0
[]
[Cc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = 0.1
[]
[sensitivity_var]
family = MONOMIAL
order = SECOND
initial_condition = -1.0
[]
[]
[AuxKernels]
[sensitivity_kernel]
type = MaterialRealAux
check_boundary_restricted = false
property = sensitivity
variable = sensitivity_var
execute_on = 'TIMESTEP_END'
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = left_support
value = 0.0
[]
[no_x]
type = DirichletBC
variable = disp_x
boundary = left_support
value = 0.0
[]
[no_y_right]
type = DirichletBC
variable = disp_y
boundary = right_support
value = 0.0
[]
[]
[NodalKernels]
[push_right]
type = NodalGravity
variable = disp_y
boundary = right_load
gravity_value = -1e-3
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.0
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 3
weights = linear
prop_name = sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
# No SIMP optimization in subapp
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-10
dt = 1.0
num_steps = 25
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
execute_on = 'TIMESTEP_BEGIN TIMESTEP_END NONLINEAR'
[]
[objective]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
(modules/phase_field/test/tests/grain_growth_w_linearized_interface/linearized_interface_action.i)
[GlobalParams]
bound_value = 5.0
[]
[Mesh]
type = GeneratedMesh
dim = 2
xmax = 50
ymax = 50
nx = 10
ny = 10
[]
[Modules]
[PhaseField]
[GrainGrowthLinearizedInterface]
op_num = 2
var_name_base = phi
op_name_base = gr
mobility = L
kappa = kappa_op
[]
[]
[]
[ICs]
[phi0_IC]
type = SmoothCircleICLinearizedInterface
variable = phi0
invalue = 1.0
outvalue = 0.0
radius = 30
int_width = 10
x1 = 0.0
y1 = 0.0
profile = TANH
[]
[phi1_IC]
type = SmoothCircleICLinearizedInterface
variable = phi1
invalue = 0.0
outvalue = 1.0
radius = 30
int_width = 10
x1 = 0.0
y1 = 0.0
profile = TANH
[]
[]
[Materials]
[GBEovlution]
type = GBEvolution
GBenergy = 0.97
GBMobility = 0.6e-6
T = 300
wGB = 10
[]
[]
[Postprocessors]
[grain_area_mat]
type = ElementIntegralMaterialProperty
mat_prop = gr0
execute_on = 'initial TIMESTEP_END'
[]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = NEWTON
petsc_options_iname = '-pc_type -ksp_type -snes_type'
petsc_options_value = 'bjacobi gmres vinewtonrsls'
dt = 0.1
end_time = 0.6
[]
[Outputs]
exodus = true
[]
(modules/combined/examples/optimization/thermomechanical/structural_sub.i)
vol_frac = 0.4
power = 2.0
E0 = 1.0e-6
E1 = 1.0
rho0 = 0.0
rho1 = 1.0
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 40
xmin = 0
xmax = 40
ymin = 0
ymax = 40
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold
nodes = 0
[]
[push_left]
type = ExtraNodesetGenerator
input = node
new_boundary = push_left
coord = '16 0 0'
[]
[push_center]
type = ExtraNodesetGenerator
input = push_left
new_boundary = push_center
coord = '24 0 0'
[]
[extra]
type = SideSetsFromBoundingBoxGenerator
input = push_center
bottom_left = '-0.01 17.999 0'
top_right = '5 22.001 0'
boundary_new = n1
boundaries_old = left
[]
[dirichlet_bc]
type = SideSetsFromNodeSetsGenerator
input = extra
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = FIRST
initial_condition = ${vol_frac}
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = hold
value = 0.0
[]
[no_x_symm]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[]
[NodalKernels]
[push_left]
type = NodalGravity
variable = disp_y
boundary = push_left
gravity_value = -1.0e-3
mass = 1
[]
[push_center]
type = NodalGravity
variable = disp_y
boundary = push_center
gravity_value = -1.0e-3
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
expression = "A1:=(${E0}-${E1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${E0}-A1*${rho0}^${power}; E1:=A1*mat_den^${power}+B1; E1"
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 1.2
weights = linear
prop_name = sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-12
dt = 1.0
num_steps = 500
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'INITIAL TIMESTEP_END'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[objective]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
(modules/combined/test/tests/optimization/compliance_sensitivity/2d_mmb_2material_cost_initial.i)
vol_frac = 0.4
cost_frac = 0.22 # Change back to 0.4
power = 2.0
E0 = 1.0e-6
E1 = 0.3
E2 = 1.0
rho0 = 1.0e-6
rho1 = 0.3
rho2 = 1.0
C0 = 1.0e-6
C1 = 0.5
C2 = 1.0
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 150
ny = 50
xmin = 0
xmax = 30
ymin = 0
ymax = 10
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold
nodes = 0
[]
[push]
type = ExtraNodesetGenerator
input = node
new_boundary = push
coord = '30 10 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[Cc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[Cost]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[]
[AuxKernels]
[Cost]
type = MaterialRealAux
variable = Cost
property = Cost_mat
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_y
boundary = hold
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[]
[NodalKernels]
[push]
type = NodalGravity
variable = disp_y
boundary = push
gravity_value = -1
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${E0}-${E1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${E0}-A1*${rho0}^${power}; E1:=A1*mat_den^${power}+B1; "
"A2:=(${E1}-${E2})/(${rho1}^${power}-${rho2}^${power}); "
"B2:=${E1}-A2*${rho1}^${power}; E2:=A2*mat_den^${power}+B2; "
"if(mat_den<${rho1},E1,E2)"
coupled_variables = 'mat_den'
property_name = E_phys
[]
[Cost_mat]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${C0}-${C1})/(${rho0}^(1/${power})-${rho1}^(1/${power})); "
"B1:=${C0}-A1*${rho0}^(1/${power}); C1:=A1*mat_den^(1/${power})+B1; "
"A2:=(${C1}-${C2})/(${rho1}^(1/${power})-${rho2}^(1/${power})); "
"B2:=${C1}-A2*${rho1}^(1/${power}); C2:=A2*mat_den^(1/${power})+B2; "
"if(mat_den<${rho1},C1,C2)"
coupled_variables = 'mat_den'
property_name = Cost_mat
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
[]
[cc]
type = CostSensitivity
design_density = mat_den
cost = Cost_mat
outputs = 'exodus'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 1.2
weights = linear
prop_name = sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[rad_avg_cost]
type = RadialAverage
radius = 1.2
weights = linear
prop_name = cost_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[update]
type = DensityUpdateTwoConstraints
# This is
density_sensitivity = Dc
cost_density_sensitivity = Cc
cost = Cost
cost_fraction = ${cost_frac}
design_density = mat_den
volume_fraction = ${vol_frac}
bisection_lower_bound = 0
bisection_upper_bound = 1.0e16 # 100
relative_tolerance = 1.0e-3
execute_on = TIMESTEP_BEGIN
[]
# Provides Dc
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
# Provides Cc
[calc_sense_cost]
type = SensitivityFilter
density_sensitivity = Cc
design_density = mat_den
filter_UO = rad_avg_cost
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-8
dt = 1.0
num_steps = 10 #50000
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[cost_sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = cost_sensitivity
[]
[cost]
type = ElementIntegralVariablePostprocessor
variable = Cost
[]
[]
(modules/combined/examples/optimization/helmholtz_multimat_nostrip.i)
vol_frac = 0.35
power = 1.1
Emin = 1.0e-6
Ess = 0.475 # ss
Et = 1.0 # w
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
# final_generator = 'MoveRight'
[Bottom]
type = GeneratedMeshGenerator
dim = 2
nx = 320
ny = 30
xmin = 0
xmax = 150
ymin = 0
ymax = 15
[]
[RenameBottom]
type = RenameBoundaryGenerator
input = Bottom
old_boundary = 'top bottom right left'
new_boundary = 'top_bottom bottom_bottom right_bottom left_bottom'
[]
[Top]
type = GeneratedMeshGenerator
dim = 2
nx = 320
ny = 30
xmin = 0
xmax = 150
ymin = 0
ymax = 15
[]
[MoveTop]
type = TransformGenerator
input = Top
transform = TRANSLATE
vector_value = '0 15 0'
[]
[RenameTop]
type = RenameBoundaryGenerator
input = MoveTop
old_boundary = 'top bottom right left'
new_boundary = 'top_top bottom_top right_top left_top'
[]
[bottom_gen]
type = ParsedSubdomainMeshGenerator
input = RenameBottom
combinatorial_geometry = 'y <= 15'
block_id = 1
[]
[top_gen]
type = ParsedSubdomainMeshGenerator
input = RenameTop
combinatorial_geometry = 'y > 15'
block_id = 3
[]
[stitch]
type = StitchedMeshGenerator
inputs = 'bottom_gen top_gen'
stitch_boundaries_pairs = 'top_bottom bottom_top'
[]
[left_load]
type = ExtraNodesetGenerator
input = stitch
new_boundary = left_load
coord = '37.5 30 0'
[]
[right_load]
type = ExtraNodesetGenerator
input = left_load
new_boundary = right_load
coord = '112.5 30 0'
[]
[left_support]
type = ExtraNodesetGenerator
input = right_load
new_boundary = left_support
coord = '0 0 0'
[]
[right_support]
type = ExtraNodesetGenerator
input = left_support
new_boundary = right_support
coord = '150 0 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[Dc]
initial_condition = -1.0
[]
[]
[AuxVariables]
[Cc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[sensitivity]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[AuxKernel]
type = MaterialRealAux
variable = sensitivity
property = sensitivity
execute_on = LINEAR
[]
[]
[mat_den_nodal]
family = L2_LAGRANGE
order = FIRST
initial_condition = ${vol_frac}
[AuxKernel]
type = SelfAux
execute_on = TIMESTEP_END
variable = mat_den_nodal
v = mat_den
[]
[]
[Dc_elem]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[AuxKernel]
type = SelfAux
variable = Dc_elem
v = Dc
execute_on = 'TIMESTEP_END'
[]
[]
[]
[Kernels]
[diffusion]
type = FunctionDiffusion
variable = Dc
function = 4.0
[]
[potential]
type = Reaction
variable = Dc
[]
[source]
type = CoupledForce
variable = Dc
v = sensitivity
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = left_support
value = 0.0
[]
[no_x]
type = DirichletBC
variable = disp_x
boundary = left_support
value = 0.0
[]
[no_y_right]
type = DirichletBC
variable = disp_y
boundary = right_support
value = 0.0
[]
[boundary_penalty]
type = ADRobinBC
variable = Dc
boundary = 'bottom_bottom right_bottom left_bottom top_top right_top left_top'
coefficient = 10
[]
[]
[NodalKernels]
[left_down]
type = NodalGravity
variable = disp_y
boundary = left_load
gravity_value = -1e-3
mass = 1
[]
[right_down]
type = NodalGravity
variable = disp_y
boundary = right_load
gravity_value = -1e-3
mass = 1
[]
[]
[Materials]
[elasticity_tensor_one]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys_one
poissons_ratio = poissons_ratio
args = 'mat_den'
block = '1'
[]
[elasticity_tensor_three]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys_three
poissons_ratio = poissons_ratio
args = 'mat_den'
block = '3'
[]
# One: Tungsten
[E_phys_one]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${Et}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys_one
block = '1'
outputs = 'exodus'
[]
# Three: SS316
[E_phys_three]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${Ess}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys_three
block = '3'
outputs = 'exodus'
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc_one]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys_one
block = '1'
[]
[dc_three]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys_three
block = '3'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[update_one]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
block = '1'
[]
[update_three]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
block = '3'
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-10
dt = 1.0
num_steps = 90
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
block = '1 3'
[]
[objective_one]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
block = '1'
[]
[objective_three]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
block = '3'
[]
[]
(modules/solid_mechanics/test/tests/capped_mohr_coulomb/random1.i)
# Using CappedMohrCoulomb with tensile failure only
# Plasticity models:
# Tensile strength = 1MPa
#
# Lame lambda = 1GPa. Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1000
ny = 1234
nz = 1
xmin = 0
xmax = 1000
ymin = 0
ymax = 1234
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[ICs]
[./x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[../]
[./y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[../]
[./z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '0'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '0'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '0'
[../]
[]
[AuxVariables]
[./f0]
order = CONSTANT
family = MONOMIAL
[../]
[./f1]
order = CONSTANT
family = MONOMIAL
[../]
[./f2]
order = CONSTANT
family = MONOMIAL
[../]
[./int0]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./f0]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = f0
[../]
[./f1]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 1
variable = f1
[../]
[./f2]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 2
variable = f2
[../]
[./int0]
type = MaterialStdVectorAux
property = plastic_internal_parameter
factor = 1E6
index = 0
variable = int0
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./tot_iters]
type = ElementIntegralMaterialProperty
mat_prop = plastic_NR_iterations
outputs = console
[../]
[./raw_f0]
type = ElementExtremeValue
variable = f0
outputs = console
[../]
[./raw_f1]
type = ElementExtremeValue
variable = f1
outputs = console
[../]
[./raw_f2]
type = ElementExtremeValue
variable = f2
outputs = console
[../]
[./iter]
type = ElementExtremeValue
variable = iter
outputs = console
[../]
[./f0]
type = FunctionValuePostprocessor
function = should_be_zero0_fcn
[../]
[./f1]
type = FunctionValuePostprocessor
function = should_be_zero1_fcn
[../]
[./f2]
type = FunctionValuePostprocessor
function = should_be_zero2_fcn
[../]
[]
[Functions]
[./should_be_zero0_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f0'
[../]
[./should_be_zero1_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f1'
[../]
[./should_be_zero2_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f2'
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningCubic
value_0 = 1E6
value_residual = 0
internal_limit = 1
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E12
[../]
[./coh]
type = SolidMechanicsHardeningConstant
value = 1E12
[../]
[./ang]
type = SolidMechanicsHardeningConstant
value = 0.5
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
fill_method = symmetric_isotropic
C_ijkl = '1E9 1.3E9'
[../]
[./tensile]
type = CappedMohrCoulombStressUpdate
tensile_strength = ts
compressive_strength = cs
cohesion = coh
friction_angle = ang
dilation_angle = ang
smoothing_tol = 1E5
max_NR_iterations = 100
yield_function_tol = 1.0E-1
[../]
[./stress]
type = ComputeMultipleInelasticStress
inelastic_models = tensile
perform_finite_strain_rotations = false
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = random1
csv = true
[]
(modules/porous_flow/test/tests/fluids/methane.i)
# Test MethaneFluidProperties
# Reference data from Irvine Jr, T. F. and Liley, P. E. (1984) Steam and
# Gas Tables with Computer Equations
#
# For temperature = 350K, the fluid properties should be:
# density = 55.13 kg/m^3
# viscosity = 0.01276 mPa.s
# h = 708.5 kJ/kg
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[pp]
initial_condition = 10e6
[]
[]
[Kernels]
[dummy]
type = Diffusion
variable = pp
[]
[]
[AuxVariables]
[temp]
initial_condition = 350.0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = 'temp'
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[methane]
type = PorousFlowSingleComponentFluid
temperature_unit = Kelvin
fp = methane
phase = 0
[]
[]
[FluidProperties]
[methane]
type = MethaneFluidProperties
[]
[]
[Executioner]
type = Steady
solve_type = Newton
[]
[Postprocessors]
[pressure]
type = ElementIntegralVariablePostprocessor
variable = pp
[]
[temperature]
type = ElementIntegralVariablePostprocessor
variable = temp
[]
[density]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_density_qp0'
[]
[viscosity]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_viscosity_qp0'
[]
[enthalpy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_enthalpy_qp0'
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = methane
csv = true
[]
(modules/fluid_properties/test/tests/materials/ad_surface_tension_material/ad_surface_tension_material.i)
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
xmin = 0
xmax = 1
[]
[FluidProperties]
[./fp_2phase]
type = StiffenedGasTwoPhaseFluidProperties
[../]
[]
[Materials]
[./T_mat]
type = ADGenericConstantMaterial
prop_names = 'T_test'
prop_values = '300'
[../]
[./sigma_mat]
type = ADSurfaceTensionMaterial
T = T_test
surface_tension = surface_tension_test
fp_2phase = fp_2phase
[../]
[]
[Postprocessors]
[./surface_tension_test_pp]
type = ADElementIntegralMaterialProperty
mat_prop = surface_tension_test
execute_on = 'INITIAL'
[../]
[]
[Problem]
solve = false
[]
[Executioner]
type = Steady
[]
[Outputs]
csv = true
execute_on = 'INITIAL'
[]
(modules/combined/test/tests/optimization/compliance_sensitivity/2d_mbb.i)
vol_frac = 0.5
E0 = 1
Emin = 1e-8
power = 2
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 150
ny = 50
xmin = 0
xmax = 30
ymin = 0
ymax = 10
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold
nodes = 0
[]
[push]
type = ExtraNodesetGenerator
input = node
new_boundary = push
coord = '30 10 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_y
boundary = hold
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[]
[NodalKernels]
[push]
type = NodalGravity
variable = disp_y
boundary = push
gravity_value = -1
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
incremental = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 1.2
weights = linear
prop_name = sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[update]
type = DensityUpdate
density_sensitivity = Dc
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
[]
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-8
dt = 1.0
num_steps = 70
[]
[Outputs]
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[]
(modules/phase_field/test/tests/grain_growth_w_linearized_interface/grain_growth_linearized_interface.i)
[Mesh]
type = GeneratedMesh
dim = 2
xmax = 50
ymax = 50
nx = 10
ny = 10
[]
[Variables]
[phi0]
[]
[phi1]
[]
[]
[AuxVariables]
[gr0_aux]
[]
[gr1_aux]
[]
[bounds_dummy]
[]
[]
[AuxKernels]
[gr0]
type = LinearizedInterfaceAux
variable = gr0_aux
nonlinear_variable = phi0
execute_on = 'INITIAL TIMESTEP_END'
[]
[gr1]
type = LinearizedInterfaceAux
variable = gr1_aux
nonlinear_variable = phi1
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[ICs]
[phi0_IC]
type = SmoothCircleICLinearizedInterface
variable = phi0
invalue = 1.0
outvalue = 0.0
bound_value = 5.0
radius = 30
int_width = 10
x1 = 0.0
y1 = 0.0
profile = TANH
[]
[phi1_IC]
type = SmoothCircleICLinearizedInterface
variable = phi1
invalue = 0.0
outvalue = 1.0
bound_value = 5.0
radius = 30
int_width = 10
x1 = 0.0
y1 = 0.0
profile = TANH
[]
[]
[Kernels]
#phi0 Kernels
[phi0_dot]
type = ChangedVariableTimeDerivative
variable = phi0
order_parameter = gr0
[]
[phi0_ACInt]
type = ACInterfaceChangedVariable
variable = phi0
kappa_name = kappa_op
mob_name = L
order_parameter = gr0
[]
[gr0_AC]
type = ACGrGrPolyLinearizedInterface
variable = phi0
mob_name = L
this_op = gr0
other_ops = gr1
v = phi1
[]
#phi1 Kernels
[phi1_dot]
type = ChangedVariableTimeDerivative
variable = phi1
order_parameter = gr1
[]
[phi1_ACInt]
type = ACInterfaceChangedVariable
variable = phi1
kappa_name = kappa_op
mob_name = L
order_parameter = gr1
[]
[gr1_AC]
type = ACGrGrPolyLinearizedInterface
variable = phi1
mob_name = L
this_op = gr1
other_ops = gr0
v = phi0
[]
[]
[Materials]
[gr0]
type = LinearizedInterfaceFunction
f_name = gr0
phi = phi0
[]
[gr1]
type = LinearizedInterfaceFunction
f_name = gr1
phi = phi1
[]
[GBEovlution]
type = GBEvolution
GBenergy = 0.97
GBMobility = 0.6e-6
T = 300
wGB = 10
[]
[]
[Bounds]
[phi0_upper_bound]
type = ConstantBounds
variable = bounds_dummy
bounded_variable = phi0
bound_type = upper
bound_value = 5.0
[]
[phi0_lower_bound]
type = ConstantBounds
variable = bounds_dummy
bounded_variable = phi0
bound_type = lower
bound_value = -5.0
[]
[phi1_upper_bound]
type = ConstantBounds
variable = bounds_dummy
bounded_variable = phi1
bound_type = upper
bound_value = 5.0
[]
[phi1_lower_bound]
type = ConstantBounds
variable = bounds_dummy
bounded_variable = phi1
bound_type = lower
bound_value = -5.0
[]
[]
[Postprocessors]
[grain_area_mat]
type = ElementIntegralMaterialProperty
mat_prop = gr0
execute_on = 'initial TIMESTEP_END'
[]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = NEWTON
petsc_options_iname = '-pc_type -ksp_type -snes_type'
petsc_options_value = 'bjacobi gmres vinewtonrsls'
dt = 0.1
end_time = 0.6
[]
[Outputs]
exodus = true
[]
(modules/porous_flow/test/tests/actions/fullsat_brine.i)
# Test the density, viscosity, enthalpy and internal energy
# calculated by the PorousFlowBrine material when using
# PorousFlowFullySaturated action.
# Density (rho) and enthalpy (h) From Driesner (2007), Geochimica et
# Cosmochimica Acta 71, 4902-4919 (2007).
# Viscosity from Phillips et al, A technical databook for
# geothermal energy utilization, LbL-12810 (1981).
# Internal energy = h - p / rho.
# Pressure 20 MPa
# Temperature 50C
# xnacl = 0.1047 (equivalent to 2.0 molality)
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
block = '0'
PorousFlowDictator = dictator
gravity = '0 0 0'
[]
[PorousFlowFullySaturated]
coupling_type = ThermoHydro
porepressure = pp
temperature = temp
mass_fraction_vars = "nacl"
fluid_properties_type = PorousFlowBrine
nacl_name = nacl
dictator_name = dictator
stabilization = none
[]
[Variables]
[pp]
initial_condition = 20E6
[]
[temp]
initial_condition = 323.15
[]
[nacl]
initial_condition = 0.1047
[]
[]
[Kernels]
# All provided by PorousFlowFullySaturated action
[]
[BCs]
[t_bdy]
type = DirichletBC
variable = temp
boundary = 'left right'
value = 323.15
[]
[p_bdy]
type = DirichletBC
variable = pp
boundary = 'left right'
value = 20E6
[]
[nacl_bdy]
type = DirichletBC
variable = nacl
boundary = 'left right'
value = 0.1047
[]
[]
[Postprocessors]
[pressure]
type = ElementIntegralVariablePostprocessor
variable = pp
[]
[temperature]
type = ElementIntegralVariablePostprocessor
variable = temp
[]
[xnacl]
type = ElementIntegralVariablePostprocessor
variable = nacl
[]
[density]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_density_qp0'
[]
[viscosity]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_viscosity_qp0'
[]
[enthalpy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_enthalpy_qp0'
[]
[energy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_internal_energy_nodal0'
[]
[]
[Materials]
# Thermal conductivity
[thermal_conductivity]
type = PorousFlowThermalConductivityIdeal
dry_thermal_conductivity = '3 0 0 0 3 0 0 0 3'
wet_thermal_conductivity = '3 0 0 0 3 0 0 0 3'
[]
# Specific heat capacity
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 850
density = 2700
[]
# Permeability
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1E-13 0 0 0 1E-13 0 0 0 1E-13'
[]
# Porosity
[porosity]
type = PorousFlowPorosityConst
porosity = 0.3
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
file_base = fullsat_brine
csv = true
execute_on = 'timestep_end'
[]
(modules/solid_mechanics/test/tests/uel/small_test_expanded_umat.i)
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
xmax = 10
ymax = 3
elem_type = TRI3
[]
[pin]
type = ExtraNodesetGenerator
nodes = 106
new_boundary = pin
input = gen
[]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[BCs]
[left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[]
[left_y]
type = DirichletBC
variable = disp_y
boundary = pin
value = 0
[]
inactive = 'right_dirichlet'
[right_neumann]
type = FunctionNeumannBC
variable = disp_x
function = t
boundary = right
[]
[right_dirichlet]
type = FunctionDirichletBC
variable = disp_x
function = t/10
boundary = right
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
add_variables = true
strain = SMALL
incremental = true
extra_vector_tags = 'kernel_residual'
[]
[]
[Materials]
[umat]
type = AbaqusUMATStress
constant_properties = '100 0.3'
plugin = '../../plugins/small_elastic_tri'
num_state_vars = 8
use_one_based_indexing = false
[]
[]
[Problem]
kernel_coverage_check = false
extra_tag_vectors = 'kernel_residual'
[]
[AuxVariables]
[res_x]
[]
[res_y]
[]
[]
[AuxKernels]
[res_x]
type = TagVectorAux
variable = res_x
v = disp_x
vector_tag = kernel_residual
[]
[res_y]
type = TagVectorAux
variable = res_y
v = disp_y
vector_tag = kernel_residual
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
dt = 1
num_steps = 15
[]
[Postprocessors]
[delta_l]
type = SideAverageValue
variable = disp_x
boundary = right
execute_on = 'INITIAL TIMESTEP_END'
[]
[V]
type = ElementIntegralMaterialProperty
mat_prop = 1
use_displaced_mesh = true
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Outputs]
exodus = true
csv = true
[]
(modules/porous_flow/test/tests/fluids/ideal_gas.i)
# Example of using the IdealGasFluidProperties userobject to provide fluid
# properties for an ideal gas. Use values for hydrogen (H2) at 1 MPa and 50 C.
#
# Input values:
# M = 2.01588e-3 kg/mol
# gamma = 1.4
# viscosity = 9.4393e-6 Pa.s
#
# Expected output:
# density = 750.2854 kg/m^3
# internal energy = 3.33 MJ/kg
# enthalpy = 4.66 MJ/kg
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[pp]
initial_condition = 1e6
[]
[]
[Kernels]
[dummy]
type = Diffusion
variable = pp
[]
[]
[AuxVariables]
[temp]
initial_condition = 50.0
[]
[]
[FluidProperties]
[idealgas]
type = IdealGasFluidProperties
molar_mass = 2.01588e-3
gamma = 1.4
mu = 9.4393e-6
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[idealgass]
type = PorousFlowSingleComponentFluid
temperature_unit = Celsius
fp = idealgas
phase = 0
[]
[]
[Executioner]
type = Steady
solve_type = Newton
[]
[Postprocessors]
[pressure]
type = ElementIntegralVariablePostprocessor
variable = pp
[]
[temperature]
type = ElementIntegralVariablePostprocessor
variable = temp
[]
[density]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_density_qp0'
[]
[viscosity]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_viscosity_qp0'
[]
[internal_energy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_internal_energy_qp0'
[]
[enthalpy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_enthalpy_qp0'
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = ideal_gas
csv = true
[]
(modules/porous_flow/test/tests/fluids/multicomponent.i)
# Test the density and viscosity calculated by the brine material using PorousFlowMultiComponentFluid
# Pressure 20 MPa
# Temperature 50C
# xnacl = 0.1047 (equivalent to 2.0 molality)
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[pp]
initial_condition = 20e6
[]
[]
[Kernels]
[dummy]
type = Diffusion
variable = pp
[]
[]
[AuxVariables]
[temp]
initial_condition = 50
[]
[xnacl]
initial_condition = 0.1047
[]
[]
[FluidProperties]
[brine]
type = BrineFluidProperties
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[brine]
type = PorousFlowMultiComponentFluid
temperature_unit = Celsius
x = xnacl
phase = 0
fp = brine
[]
[]
[Executioner]
type = Steady
solve_type = Newton
[]
[Postprocessors]
[pressure]
type = ElementIntegralVariablePostprocessor
variable = pp
[]
[temperature]
type = ElementIntegralVariablePostprocessor
variable = temp
[]
[xnacl]
type = ElementIntegralVariablePostprocessor
variable = xnacl
[]
[density]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_density_qp0'
[]
[viscosity]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_viscosity_qp0'
[]
[enthalpy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_enthalpy_qp0'
[]
[internal_energy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_internal_energy_qp0'
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = brine1
csv = true
[]
(modules/fluid_properties/test/tests/materials/ad_saturation_temperature_material/ad_saturation_temperature_material.i)
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
xmin = 0
xmax = 1
[]
[FluidProperties]
[./fp_2phase]
type = StiffenedGasTwoPhaseFluidProperties
[../]
[]
[Materials]
[./p_mat]
type = ADGenericConstantMaterial
prop_names = 'p_test'
prop_values = '1e5'
[../]
[./T_sat_mat]
type = ADSaturationTemperatureMaterial
p = p_test
T_sat = T_sat_test
fp_2phase = fp_2phase
[../]
[]
[Postprocessors]
[./T_sat_pp]
type = ADElementIntegralMaterialProperty
mat_prop = T_sat_test
execute_on = 'INITIAL'
[../]
[]
[Problem]
solve = false
[]
[Executioner]
type = Steady
[]
[Outputs]
csv = true
execute_on = 'INITIAL'
[]
(modules/porous_flow/test/tests/fluids/brine1_tabulated.i)
# Test the density and viscosity calculated by the brine material using a
# TabulatedFluidProperties userobject for water
# Pressure 20 MPa
# Temperature 50C
# xnacl = 0.1047 (equivalent to 2.0 molality)
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[pp]
initial_condition = 20e6
[]
[]
[Kernels]
[dummy]
type = Diffusion
variable = pp
[]
[]
[AuxVariables]
[temp]
initial_condition = 50
[]
[xnacl]
initial_condition = 0.1047
[]
[]
[FluidProperties]
[water]
type = Water97FluidProperties
[]
[watertab]
type = TabulatedBicubicFluidProperties
fp = water
save_file = false
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[brine]
type = PorousFlowBrine
water_fp = watertab
temperature_unit = Celsius
xnacl = 0.1047
phase = 0
[]
[]
[Executioner]
type = Steady
solve_type = Newton
[]
[Postprocessors]
[pressure]
type = ElementIntegralVariablePostprocessor
variable = pp
[]
[temperature]
type = ElementIntegralVariablePostprocessor
variable = temp
[]
[xnacl]
type = ElementIntegralVariablePostprocessor
variable = xnacl
[]
[density]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_density_qp0'
[]
[viscosity]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_viscosity_qp0'
[]
[enthalpy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_enthalpy_qp0'
[]
[internal_energy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_internal_energy_qp0'
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = brine1
csv = true
[]
(modules/phase_field/tutorials/spinodal_decomposition/s4_mobility.i)
#
# Example simulation of an iron-chromium alloy at 500 C. Equilibrium
# concentrations are at 23.6 and 82.3 mol% Cr. Kappa value, free energy equation,
# and mobility equation were provided by Lars Hoglund. Solved using the split
# form of the Cahn-Hilliard equation.
#
[Mesh]
type = GeneratedMesh
dim = 2
elem_type = QUAD4
nx = 25
ny = 25
nz = 0
xmin = 0
xmax = 25
ymin = 0
ymax = 25
zmin = 0
zmax = 0
uniform_refine = 2
[]
[Variables]
[./c] # Mole fraction of Cr (unitless)
order = FIRST
family = LAGRANGE
[../]
[./w] # Chemical potential (eV/mol)
order = FIRST
family = LAGRANGE
[../]
[]
[ICs]
[./concentrationIC] # 46.774 mol% Cr with variations
type = RandomIC
min = 0.44774
max = 0.48774
seed = 210
variable = c
[../]
[]
[BCs]
[./Periodic]
[./c_bcs]
auto_direction = 'x y'
[../]
[../]
[]
[Kernels]
[./w_dot]
variable = w
v = c
type = CoupledTimeDerivative
[../]
[./coupled_res]
variable = w
type = SplitCHWRes
mob_name = M
[../]
[./coupled_parsed]
variable = c
type = SplitCHParsed
f_name = f_loc
kappa_name = kappa_c
w = w
[../]
[]
[Materials]
# d is a scaling factor that makes it easier for the solution to converge
# without changing the results. It is defined in each of the first three
# materials and must have the same value in each one.
[./kappa] # Gradient energy coefficient (eV nm^2/mol)
type = GenericFunctionMaterial
prop_names = 'kappa_c'
prop_values = '8.125e-16*6.24150934e+18*1e+09^2*1e-27'
# kappa_c *eV_J*nm_m^2* d
[../]
[./mobility] # Mobility (nm^2 mol/eV/s)
# NOTE: This is a fitted equation, so only 'Conv' has units
type = DerivativeParsedMaterial
property_name = M
coupled_variables = c
constant_names = 'Acr Bcr Ccr Dcr
Ecr Fcr Gcr
Afe Bfe Cfe Dfe
Efe Ffe Gfe
nm_m eV_J d'
constant_expressions = '-32.770969 -25.8186669 -3.29612744 17.669757
37.6197853 20.6941796 10.8095813
-31.687117 -26.0291774 0.2286581 24.3633544
44.3334237 8.72990497 20.956768
1e+09 6.24150934e+18 1e-27'
expression = 'nm_m^2/eV_J/d*((1-c)^2*c*10^
(Acr*c+Bcr*(1-c)+Ccr*c*log(c)+Dcr*(1-c)*log(1-c)+
Ecr*c*(1-c)+Fcr*c*(1-c)*(2*c-1)+Gcr*c*(1-c)*(2*c-1)^2)
+c^2*(1-c)*10^
(Afe*c+Bfe*(1-c)+Cfe*c*log(c)+Dfe*(1-c)*log(1-c)+
Efe*c*(1-c)+Ffe*c*(1-c)*(2*c-1)+Gfe*c*(1-c)*(2*c-1)^2))'
derivative_order = 1
outputs = exodus
[../]
[./local_energy] # Local free energy function (eV/mol)
type = DerivativeParsedMaterial
property_name = f_loc
coupled_variables = c
constant_names = 'A B C D E F G eV_J d'
constant_expressions = '-2.446831e+04 -2.827533e+04 4.167994e+03 7.052907e+03
1.208993e+04 2.568625e+03 -2.354293e+03
6.24150934e+18 1e-27'
expression = 'eV_J*d*(A*c+B*(1-c)+C*c*log(c)+D*(1-c)*log(1-c)+
E*c*(1-c)+F*c*(1-c)*(2*c-1)+G*c*(1-c)*(2*c-1)^2)'
derivative_order = 2
[../]
[./precipitate_indicator] # Returns 1/625 if precipitate
type = ParsedMaterial
property_name = prec_indic
coupled_variables = c
expression = if(c>0.6,0.0016,0)
[../]
[]
[Postprocessors]
[./step_size] # Size of the time step
type = TimestepSize
[../]
[./iterations] # Number of iterations needed to converge timestep
type = NumNonlinearIterations
[../]
[./nodes] # Number of nodes in mesh
type = NumNodes
[../]
[./evaluations] # Cumulative residual calculations for simulation
type = NumResidualEvaluations
[../]
[./precipitate_area] # Fraction of surface devoted to precipitates
type = ElementIntegralMaterialProperty
mat_prop = prec_indic
[../]
[./active_time] # Time computer spent on simulation
type = PerfGraphData
section_name = "Root"
data_type = total
[../]
[]
[Preconditioning]
[./coupled]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = NEWTON
l_max_its = 30
l_tol = 1e-6
nl_max_its = 50
nl_abs_tol = 1e-9
end_time = 604800 # 7 days
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_ksp_type
-sub_pc_type -pc_asm_overlap'
petsc_options_value = 'asm 31 preonly
ilu 1'
[./TimeStepper]
type = IterationAdaptiveDT
dt = 10
cutback_factor = 0.8
growth_factor = 1.5
optimal_iterations = 7
[../]
[./Adaptivity]
coarsen_fraction = 0.1
refine_fraction = 0.7
max_h_level = 2
[../]
[]
[Debug]
show_var_residual_norms = true
[]
[Outputs]
exodus = true
console = true
csv = true
[./console]
type = Console
max_rows = 10
[../]
[]
(modules/porous_flow/test/tests/fluids/simple_fluid_dy.i)
# Test the properties calculated by the simple fluid Material
# Time unit is chosen to be days
# Pressure 10 MPa
# Temperature = 300 K (temperature unit = K)
# Density should equal 1500*exp(1E7/1E9-2E-4*300)=1426.844 kg/m^3
# Viscosity should equal 1.27E-8 Pa.dy
# Energy density should equal 4000 * 300 = 1.2E6 J/kg
# Specific enthalpy should equal 4000 * 300 + 10e6 / 1426.844 = 1.207008E6 J/kg
[FluidProperties]
[the_simple_fluid]
type = SimpleFluidProperties
thermal_expansion = 2.0E-4
cv = 4000.0
cp = 5000.0
bulk_modulus = 1.0E9
thermal_conductivity = 1.0
viscosity = 1.1E-3
density0 = 1500.0
[]
[]
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp T'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[pp]
initial_condition = 10E6
[]
[T]
initial_condition = 300.0
[]
[]
[Kernels]
[dummy_p]
type = Diffusion
variable = pp
[]
[dummy_T]
type = Diffusion
variable = T
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = T
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
temperature_unit = Kelvin
time_unit = days
fp = the_simple_fluid
phase = 0
[]
[]
[Postprocessors]
[pressure]
type = ElementIntegralVariablePostprocessor
variable = pp
[]
[temperature]
type = ElementIntegralVariablePostprocessor
variable = T
[]
[density]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_density_qp0'
[]
[viscosity]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_viscosity_qp0'
[]
[internal_energy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_internal_energy_qp0'
[]
[enthalpy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_enthalpy_qp0'
[]
[]
[Executioner]
type = Steady
solve_type = Newton
[]
[Outputs]
execute_on = 'timestep_end'
csv = true
[]
(modules/combined/examples/phase_field-mechanics/kks_mechanics_KHS.i)
# KKS phase-field model coupled with elasticity using Khachaturyan's scheme as
# described in L.K. Aagesen et al., Computational Materials Science, 140, 10-21 (2017)
# Original run #170403a
[Mesh]
type = GeneratedMesh
dim = 3
nx = 640
ny = 1
nz = 1
xmin = -10
xmax = 10
ymin = 0
ymax = 0.03125
zmin = 0
zmax = 0.03125
elem_type = HEX8
[]
[Variables]
# order parameter
[./eta]
order = FIRST
family = LAGRANGE
[../]
# solute concentration
[./c]
order = FIRST
family = LAGRANGE
[../]
# chemical potential
[./w]
order = FIRST
family = LAGRANGE
[../]
# solute phase concentration (matrix)
[./cm]
order = FIRST
family = LAGRANGE
[../]
# solute phase concentration (precipitate)
[./cp]
order = FIRST
family = LAGRANGE
[../]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[./disp_z]
order = FIRST
family = LAGRANGE
[../]
[]
[ICs]
[./eta_ic]
variable = eta
type = FunctionIC
function = ic_func_eta
block = 0
[../]
[./c_ic]
variable = c
type = FunctionIC
function = ic_func_c
block = 0
[../]
[./w_ic]
variable = w
type = ConstantIC
value = 0.00991
block = 0
[../]
[./cm_ic]
variable = cm
type = ConstantIC
value = 0.131
block = 0
[../]
[./cp_ic]
variable = cp
type = ConstantIC
value = 0.236
block = 0
[../]
[]
[Functions]
[./ic_func_eta]
type = ParsedFunction
expression = '0.5*(1.0+tanh((x)/delta_eta/sqrt(2.0)))'
symbol_names = 'delta_eta'
symbol_values = '0.8034'
[../]
[./ic_func_c]
type = ParsedFunction
expression = '0.2389*(0.5*(1.0+tanh(x/delta/sqrt(2.0))))^3*(6*(0.5*(1.0+tanh(x/delta/sqrt(2.0))))^2-15*(0.5*(1.0+tanh(x/delta/sqrt(2.0))))+10)+0.1339*(1-(0.5*(1.0+tanh(x/delta/sqrt(2.0))))^3*(6*(0.5*(1.0+tanh(x/delta/sqrt(2.0))))^2-15*(0.5*(1.0+tanh(x/delta/sqrt(2.0))))+10))'
symbol_names = 'delta'
symbol_values = '0.8034'
[../]
[./psi_eq_int]
type = ParsedFunction
expression = 'volume*psi_alpha'
symbol_names = 'volume psi_alpha'
symbol_values = 'volume psi_alpha'
[../]
[./gamma]
type = ParsedFunction
expression = '(psi_int - psi_eq_int) / dy / dz'
symbol_names = 'psi_int psi_eq_int dy dz'
symbol_values = 'psi_int psi_eq_int 0.03125 0.03125'
[../]
[]
[AuxVariables]
[./sigma11]
order = CONSTANT
family = MONOMIAL
[../]
[./sigma22]
order = CONSTANT
family = MONOMIAL
[../]
[./sigma33]
order = CONSTANT
family = MONOMIAL
[../]
[./e11]
order = CONSTANT
family = MONOMIAL
[../]
[./e12]
order = CONSTANT
family = MONOMIAL
[../]
[./e22]
order = CONSTANT
family = MONOMIAL
[../]
[./e33]
order = CONSTANT
family = MONOMIAL
[../]
[./e_el11]
order = CONSTANT
family = MONOMIAL
[../]
[./e_el12]
order = CONSTANT
family = MONOMIAL
[../]
[./e_el22]
order = CONSTANT
family = MONOMIAL
[../]
[./f_el]
order = CONSTANT
family = MONOMIAL
[../]
[./eigen_strain00]
order = CONSTANT
family = MONOMIAL
[../]
[./Fglobal]
order = CONSTANT
family = MONOMIAL
[../]
[./psi]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./matl_sigma11]
type = RankTwoAux
rank_two_tensor = stress
index_i = 0
index_j = 0
variable = sigma11
[../]
[./matl_sigma22]
type = RankTwoAux
rank_two_tensor = stress
index_i = 1
index_j = 1
variable = sigma22
[../]
[./matl_sigma33]
type = RankTwoAux
rank_two_tensor = stress
index_i = 2
index_j = 2
variable = sigma33
[../]
[./matl_e11]
type = RankTwoAux
rank_two_tensor = total_strain
index_i = 0
index_j = 0
variable = e11
[../]
[./f_el]
type = MaterialRealAux
variable = f_el
property = f_el_mat
execute_on = timestep_end
[../]
[./GlobalFreeEnergy]
variable = Fglobal
type = KKSGlobalFreeEnergy
fa_name = fm
fb_name = fp
w = 0.0264
kappa_names = kappa
interfacial_vars = eta
[../]
[./psi_potential]
variable = psi
type = ParsedAux
coupled_variables = 'Fglobal w c f_el sigma11 e11'
expression = 'Fglobal - w*c + f_el - sigma11*e11'
[../]
[]
[BCs]
[./left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[../]
[./right_x]
type = DirichletBC
variable = disp_x
boundary = right
value = 0
[../]
[./front_y]
type = DirichletBC
variable = disp_y
boundary = front
value = 0
[../]
[./back_y]
type = DirichletBC
variable = disp_y
boundary = back
value = 0
[../]
[./top_z]
type = DirichletBC
variable = disp_z
boundary = top
value = 0
[../]
[./bottom_z]
type = DirichletBC
variable = disp_z
boundary = bottom
value = 0
[../]
[]
[Materials]
# Chemical free energy of the matrix
[./fm]
type = DerivativeParsedMaterial
property_name = fm
coupled_variables = 'cm'
expression = '6.55*(cm-0.13)^2'
[../]
# Chemical Free energy of the precipitate phase
[./fp]
type = DerivativeParsedMaterial
property_name = fp
coupled_variables = 'cp'
expression = '6.55*(cp-0.235)^2'
[../]
# Elastic energy of the precipitate
[./elastic_free_energy_p]
type = ElasticEnergyMaterial
f_name = f_el_mat
args = 'eta'
outputs = exodus
[../]
# h(eta)
[./h_eta]
type = SwitchingFunctionMaterial
h_order = HIGH
eta = eta
[../]
# 1- h(eta), putting in function explicitly
[./one_minus_h_eta_explicit]
type = DerivativeParsedMaterial
property_name = one_minus_h_explicit
coupled_variables = eta
expression = 1-eta^3*(6*eta^2-15*eta+10)
outputs = exodus
[../]
# g(eta)
[./g_eta]
type = BarrierFunctionMaterial
g_order = SIMPLE
eta = eta
[../]
# constant properties
[./constants]
type = GenericConstantMaterial
prop_names = 'M L kappa misfit'
prop_values = '0.7 0.7 0.01704 0.00377'
[../]
#Mechanical properties
[./Stiffness_matrix]
type = ComputeElasticityTensor
base_name = C_matrix
C_ijkl = '103.3 74.25 74.25 103.3 74.25 103.3 46.75 46.75 46.75'
fill_method = symmetric9
[../]
[./Stiffness_ppt]
type = ComputeElasticityTensor
C_ijkl = '100.7 71.45 71.45 100.7 71.45 100.7 50.10 50.10 50.10'
base_name = C_ppt
fill_method = symmetric9
[../]
[./C]
type = CompositeElasticityTensor
args = eta
tensors = 'C_matrix C_ppt'
weights = 'one_minus_h_explicit h'
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
eigenstrain_names = 'eigenstrain_ppt'
[../]
[./eigen_strain]
type = ComputeVariableEigenstrain
eigen_base = '0.00377 0.00377 0.00377 0 0 0'
prefactor = h
args = eta
eigenstrain_name = 'eigenstrain_ppt'
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
# enforce c = (1-h(eta))*cm + h(eta)*cp
[./PhaseConc]
type = KKSPhaseConcentration
ca = cm
variable = cp
c = c
eta = eta
[../]
# enforce pointwise equality of chemical potentials
[./ChemPotVacancies]
type = KKSPhaseChemicalPotential
variable = cm
cb = cp
fa_name = fm
fb_name = fp
[../]
#
# Cahn-Hilliard Equation
#
[./CHBulk]
type = KKSSplitCHCRes
variable = c
ca = cm
fa_name = fm
w = w
[../]
[./dcdt]
type = CoupledTimeDerivative
variable = w
v = c
[../]
[./ckernel]
type = SplitCHWRes
mob_name = M
variable = w
[../]
#
# Allen-Cahn Equation
#
[./ACBulkF]
type = KKSACBulkF
variable = eta
fa_name = fm
fb_name = fp
w = 0.0264
args = 'cp cm'
[../]
[./ACBulkC]
type = KKSACBulkC
variable = eta
ca = cm
cb = cp
fa_name = fm
[../]
[./ACBulk_el] #This adds df_el/deta for strain interpolation
type = AllenCahn
variable = eta
f_name = f_el_mat
[../]
[./ACInterface]
type = ACInterface
variable = eta
kappa_name = kappa
[../]
[./detadt]
type = TimeDerivative
variable = eta
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm ilu nonzero'
l_max_its = 30
nl_max_its = 10
l_tol = 1.0e-4
nl_rel_tol = 1.0e-8
nl_abs_tol = 1.0e-11
num_steps = 200
[./TimeStepper]
type = SolutionTimeAdaptiveDT
dt = 0.5
[../]
[]
[Postprocessors]
[./f_el_int]
type = ElementIntegralMaterialProperty
mat_prop = f_el_mat
[../]
[./c_alpha]
type = SideAverageValue
boundary = left
variable = c
[../]
[./c_beta]
type = SideAverageValue
boundary = right
variable = c
[../]
[./e11_alpha]
type = SideAverageValue
boundary = left
variable = e11
[../]
[./e11_beta]
type = SideAverageValue
boundary = right
variable = e11
[../]
[./s11_alpha]
type = SideAverageValue
boundary = left
variable = sigma11
[../]
[./s22_alpha]
type = SideAverageValue
boundary = left
variable = sigma22
[../]
[./s33_alpha]
type = SideAverageValue
boundary = left
variable = sigma33
[../]
[./s11_beta]
type = SideAverageValue
boundary = right
variable = sigma11
[../]
[./s22_beta]
type = SideAverageValue
boundary = right
variable = sigma22
[../]
[./s33_beta]
type = SideAverageValue
boundary = right
variable = sigma33
[../]
[./f_el_alpha]
type = SideAverageValue
boundary = left
variable = f_el
[../]
[./f_el_beta]
type = SideAverageValue
boundary = right
variable = f_el
[../]
[./f_c_alpha]
type = SideAverageValue
boundary = left
variable = Fglobal
[../]
[./f_c_beta]
type = SideAverageValue
boundary = right
variable = Fglobal
[../]
[./chem_pot_alpha]
type = SideAverageValue
boundary = left
variable = w
[../]
[./chem_pot_beta]
type = SideAverageValue
boundary = right
variable = w
[../]
[./psi_alpha]
type = SideAverageValue
boundary = left
variable = psi
[../]
[./psi_beta]
type = SideAverageValue
boundary = right
variable = psi
[../]
[./total_energy]
type = ElementIntegralVariablePostprocessor
variable = Fglobal
[../]
# Get simulation cell size from postprocessor
[./volume]
type = ElementIntegralMaterialProperty
mat_prop = 1
[../]
[./psi_eq_int]
type = FunctionValuePostprocessor
function = psi_eq_int
[../]
[./psi_int]
type = ElementIntegralVariablePostprocessor
variable = psi
[../]
[./gamma]
type = FunctionValuePostprocessor
function = gamma
[../]
[./int_position]
type = FindValueOnLine
start_point = '-10 0 0'
end_point = '10 0 0'
v = eta
target = 0.5
[../]
[]
#
# Precondition using handcoded off-diagonal terms
#
[Preconditioning]
[./full]
type = SMP
full = true
[../]
[]
[Outputs]
[./exodus]
type = Exodus
time_step_interval = 20
[../]
checkpoint = true
[./csv]
type = CSV
execute_on = 'final'
[../]
[]
(modules/solid_mechanics/test/tests/uel/small_test_umat_states_fields.i)
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
xmax = 10
ymax = 3
elem_type = TRI3
[]
[pin]
type = ExtraNodesetGenerator
nodes = 106
new_boundary = pin
input = gen
[]
displacements = 'disp_x disp_y'
[]
[AuxVariables]
[temperature]
initial_condition = 1500
[]
[voltage]
initial_condition = 210
[]
[]
[AuxKernels]
[temperature]
type = FunctionAux
function = temperature_function
variable = temperature
[]
[voltage]
type = FunctionAux
function = voltage_function
variable = voltage
[]
[]
[Functions]
[voltage_function]
type = PiecewiseLinear
x = '0 15'
y = '210 450'
[]
[temperature_function]
type = PiecewiseLinear
x = '0 15'
y = '1500 800'
[]
[]
[BCs]
[left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[]
[left_y]
type = DirichletBC
variable = disp_y
boundary = pin
value = 0
[]
inactive = 'right_dirichlet'
[right_neumann]
type = FunctionNeumannBC
variable = disp_x
function = t
boundary = right
[]
[right_dirichlet]
type = FunctionDirichletBC
variable = disp_x
function = t/10
boundary = right
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
add_variables = true
strain = SMALL
incremental = true
extra_vector_tags = 'kernel_residual'
[]
[]
[Materials]
[umat]
type = AbaqusUMATStress
constant_properties = '100 0.3'
plugin = '../../plugins/small_elastic_tri_states'
num_state_vars = 2
use_one_based_indexing = false
temperature = 'temperature'
external_fields = 'voltage'
[]
[]
[Problem]
kernel_coverage_check = false
extra_tag_vectors = 'kernel_residual'
[]
[AuxVariables]
[res_x]
[]
[res_y]
[]
[]
[AuxKernels]
[res_x]
type = TagVectorAux
variable = res_x
v = disp_x
vector_tag = kernel_residual
[]
[res_y]
type = TagVectorAux
variable = res_y
v = disp_y
vector_tag = kernel_residual
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
dt = 1
num_steps = 15
[]
[Postprocessors]
[delta_l]
type = SideAverageValue
variable = disp_x
boundary = right
execute_on = 'INITIAL TIMESTEP_END'
[]
[V]
type = ElementIntegralMaterialProperty
mat_prop = 1
use_displaced_mesh = true
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Outputs]
exodus = true
csv = true
[]
(modules/combined/examples/optimization/three_materials.i)
vol_frac = 0.4
cost_frac = 0.3
power = 4
E0 = 1.0e-6
E1 = 0.2
E2 = 0.6
E3 = 1.0
rho0 = 1.0e-6
rho1 = 0.4
rho2 = 0.7
rho3 = 1.0
C0 = 1.0e-6
C1 = 0.5
C2 = 0.8
C3 = 1.0
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 50
ny = 50
xmin = 0
xmax = 50
ymin = 0
ymax = 50
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold
nodes = 0
[]
[push_left]
type = ExtraNodesetGenerator
input = node
new_boundary = push_left
coord = '25 0 0'
[]
[push_center]
type = ExtraNodesetGenerator
input = push_left
new_boundary = push_center
coord = '50 0 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[Cc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[Cost]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[]
[AuxKernels]
[Cost]
type = MaterialRealAux
variable = Cost
property = Cost_mat
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = hold
value = 0.0
[]
[no_x_symm]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[]
[NodalKernels]
[push_left]
type = NodalGravity
variable = disp_y
boundary = push_left
gravity_value = -1e-3
mass = 1
[]
[push_center]
type = NodalGravity
variable = disp_y
boundary = push_center
gravity_value = -1e-3
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${E0}-${E1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${E0}-A1*${rho0}^${power}; E1:=A1*mat_den^${power}+B1; "
"A2:=(${E1}-${E2})/(${rho1}^${power}-${rho2}^${power}); "
"B2:=${E1}-A2*${rho1}^${power}; E2:=A2*mat_den^${power}+B2; "
"A3:=(${E2}-${E3})/(${rho2}^${power}-${rho3}^${power}); "
"B3:=${E2}-A3*${rho2}^${power}; E3:=A3*mat_den^${power}+B3; "
"if(mat_den<${rho1},E1,if(mat_den<${rho2},E2,E3))"
coupled_variables = 'mat_den'
property_name = E_phys
[]
[Cost_mat]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${C0}-${C1})/(${rho0}^(1/${power})-${rho1}^(1/${power})); "
"B1:=${C0}-A1*${rho0}^(1/${power}); C1:=A1*mat_den^(1/${power})+B1; "
"A2:=(${C1}-${C2})/(${rho1}^(1/${power})-${rho2}^(1/${power})); "
"B2:=${C1}-A2*${rho1}^(1/${power}); C2:=A2*mat_den^(1/${power})+B2; "
"A3:=(${C2}-${C3})/(${rho2}^(1/${power})-${rho3}^(1/${power})); "
"B3:=${C2}-A3*${rho2}^(1/${power}); C3:=A3*mat_den^(1/${power})+B3; "
"if(mat_den<${rho1},C1,if(mat_den<${rho2},C2,C3))"
coupled_variables = 'mat_den'
property_name = Cost_mat
[]
[CostDensity]
type = ParsedMaterial
property_name = CostDensity
coupled_variables = 'mat_den Cost'
expression = 'mat_den*Cost'
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
[]
[cc]
type = CostSensitivity
design_density = mat_den
cost = Cost_mat
outputs = 'exodus'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 3
weights = linear
prop_name = sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[rad_avg_cost]
type = RadialAverage
radius = 3
weights = linear
prop_name = cost_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[update]
type = DensityUpdateTwoConstraints
# This is
density_sensitivity = Dc
cost_density_sensitivity = Cc
cost = Cost
cost_fraction = ${cost_frac}
design_density = mat_den
volume_fraction = ${vol_frac}
bisection_lower_bound = 0
bisection_upper_bound = 1.0e16 # 100
bisection_move = 0.05
adaptive_move = true
relative_tolerance = 1.0e-3
execute_on = TIMESTEP_BEGIN
[]
# Provides Dc
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
# Provides Cc
[calc_sense_cost]
type = SensitivityFilter
density_sensitivity = Cc
design_density = mat_den
filter_UO = rad_avg_cost
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-10
dt = 1.0
num_steps = 40
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[cost_sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = cost_sensitivity
[]
[cost]
type = ElementIntegralMaterialProperty
mat_prop = CostDensity
[]
[cost_frac]
type = ParsedPostprocessor
expression = 'cost / mesh_volume'
pp_names = 'cost mesh_volume'
[]
[]
(modules/thermal_hydraulics/test/tests/components/flow_channel_1phase/phy.f_fn.3eqn.i)
# Tests that friction factor can be provided for 1-phase flow
f = 5
[GlobalParams]
gravity_vector = '0 0 0'
initial_T = 558
initial_p = 7.0e6
initial_vel = 0
scaling_factor_1phase = '1e0 1e-2 1e-4'
closures = simple_closures
[]
[FluidProperties]
[eos]
type = StiffenedGasFluidProperties
gamma = 2.35
cv = 1816.0
q = -1.167e6
p_inf = 1.0e9
q_prime = 0
[]
[]
[Closures]
[simple_closures]
type = Closures1PhaseSimple
[]
[]
[Functions]
[f_func]
type = ConstantFunction
value = ${f}
[]
[]
[Components]
[pipe]
type = FlowChannel1Phase
# geometry
position = '0 0 0'
orientation = '1 0 0'
length = 1
n_elems = 1
A = 1.907720E-04
D_h = 1.698566E-02
f = f_func
fp = eos
[]
[ht_pipe]
type = HeatTransferFromSpecifiedTemperature1Phase
flow_channel = pipe
T_wall = 559
P_hf = 0.0489623493599167
Hw = 50000
[]
[inlet]
type = InletDensityVelocity1Phase
input = 'pipe:in'
rho = 741.707129779398883
vel = 2
[]
[outlet]
type = Outlet1Phase
input = 'pipe:out'
p = 7.0e6
[]
[]
[Preconditioning]
[SMP_PJFNK]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
scheme = 'bdf2'
start_time = 0
dt = 1
num_steps = 1
abort_on_solve_fail = true
solve_type = 'PJFNK'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-8
nl_max_its = 30
l_tol = 1e-2
l_max_its = 30
[]
[Postprocessors]
[f]
type = ADElementIntegralMaterialProperty
mat_prop = f_D
block = pipe
[]
[]
[Outputs]
csv = true
show = 'f'
execute_on = 'timestep_end'
[]
(modules/solid_mechanics/test/tests/tensile/random_smoothed.i)
# Plasticity models:
# Smoothed tensile with strength = 1MPa
#
# Lame lambda = 1GPa. Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1000
ny = 1234
nz = 1
xmin = 0
xmax = 1000
ymin = 0
ymax = 1234
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
strain = finite
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[ICs]
[./x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[../]
[./y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[../]
[./z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '0'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '0'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '0'
[../]
[]
[AuxVariables]
[./f0]
order = CONSTANT
family = MONOMIAL
[../]
[./int0]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./f0]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = f0
[../]
[./int0]
type = MaterialStdVectorAux
property = plastic_internal_parameter
factor = 1E6
index = 0
variable = int0
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./tot_iters]
type = ElementIntegralMaterialProperty
mat_prop = plastic_NR_iterations
outputs = console
[../]
[./raw_f0]
type = ElementExtremeValue
variable = f0
outputs = console
[../]
[./iter]
type = ElementExtremeValue
variable = iter
outputs = console
[../]
[./f0]
type = FunctionValuePostprocessor
function = should_be_zero0_fcn
[../]
[]
[Functions]
[./should_be_zero0_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f0'
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 1E6
[../]
[./tensile]
type = SolidMechanicsPlasticTensile
tensile_strength = ts
tensile_tip_smoother = 1E5
yield_function_tolerance = 1.0E-1
internal_constraint_tolerance = 1.0E-7
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '1E9 1.3E9'
[../]
[./multi]
type = ComputeMultiPlasticityStress
block = 0
ep_plastic_tolerance = 1E-7
plastic_models = 'tensile'
max_NR_iterations = 20
min_stepsize = 1E-4
max_stepsize_for_dumb = 1E-3
debug_fspb = crash
debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
debug_jac_at_pm = '1 1 1 1'
debug_jac_at_intnl = '1 1 1 1'
debug_stress_change = 1E1
debug_pm_change = '1E-6 1E-6 1E-6 1E-6'
debug_intnl_change = '1E-6 1E-6 1E-6 1E-6'
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = random_smoothed
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/phase_field/tutorials/spinodal_decomposition/s5_energycurve.i)
#
# Example simulation of an iron-chromium alloy at 500 C. Equilibrium
# concentrations are at 23.6 and 82.3 mol% Cr. Kappa value, free energy equation,
# and mobility equation were provided by Lars Hoglund. Solved using the split
# form of the Cahn-Hilliard equation.
[Mesh]
type = GeneratedMesh
dim = 2
elem_type = QUAD4
nx = 25
ny = 25
nz = 0
xmin = 0
xmax = 25
ymin = 0
ymax = 25
zmin = 0
zmax = 0
uniform_refine = 2
[]
[Variables]
[./c] # Mole fraction of Cr (unitless)
order = FIRST
family = LAGRANGE
scaling = 1e+04
[../]
[./w] # Chemical potential (eV/mol)
order = FIRST
family = LAGRANGE
[../]
[]
[AuxVariables]
[./f_density] # Local energy density (eV/mol)
order = CONSTANT
family = MONOMIAL
[../]
[]
[ICs]
[./concentrationIC] # 46.774 mol% Cr with variations
type = RandomIC
min = 0.44774
max = 0.48774
seed = 210
variable = c
[../]
[]
[BCs]
[./Periodic]
[./c_bcs]
auto_direction = 'x y'
[../]
[../]
[]
[Kernels]
[./w_dot]
variable = w
v = c
type = CoupledTimeDerivative
[../]
[./coupled_res]
variable = w
type = SplitCHWRes
mob_name = M
[../]
[./coupled_parsed]
variable = c
type = SplitCHParsed
f_name = f_loc
kappa_name = kappa_c
w = w
[../]
[]
[AuxKernels]
# Calculates the energy density by combining the local and gradient energies
[./f_density] # (eV/mol/nm^2)
type = TotalFreeEnergy
variable = f_density
f_name = 'f_loc'
kappa_names = 'kappa_c'
interfacial_vars = c
[../]
[]
[Materials]
# d is a scaling factor that makes it easier for the solution to converge
# without changing the results. It is defined in each of the first three
# materials and must have the same value in each one.
[./kappa] # Gradient energy coefficient (eV nm^2/mol)
type = GenericFunctionMaterial
prop_names = 'kappa_c'
prop_values = '8.125e-16*6.24150934e+18*1e+09^2*1e-27'
# kappa_c *eV_J*nm_m^2* d
[../]
[./mobility] # Mobility (nm^2 mol/eV/s)
# NOTE: This is a fitted equation, so only 'Conv' has units
type = DerivativeParsedMaterial
property_name = M
coupled_variables = c
constant_names = 'Acr Bcr Ccr Dcr
Ecr Fcr Gcr
Afe Bfe Cfe Dfe
Efe Ffe Gfe
nm_m eV_J d'
constant_expressions = '-32.770969 -25.8186669 -3.29612744 17.669757
37.6197853 20.6941796 10.8095813
-31.687117 -26.0291774 0.2286581 24.3633544
44.3334237 8.72990497 20.956768
1e+09 6.24150934e+18 1e-27'
expression = 'nm_m^2/eV_J/d*((1-c)^2*c*10^
(Acr*c+Bcr*(1-c)+Ccr*c*log(c)+Dcr*(1-c)*log(1-c)+
Ecr*c*(1-c)+Fcr*c*(1-c)*(2*c-1)+Gcr*c*(1-c)*(2*c-1)^2)
+c^2*(1-c)*10^
(Afe*c+Bfe*(1-c)+Cfe*c*log(c)+Dfe*(1-c)*log(1-c)+
Efe*c*(1-c)+Ffe*c*(1-c)*(2*c-1)+Gfe*c*(1-c)*(2*c-1)^2))'
derivative_order = 1
outputs = exodus
[../]
[./local_energy] # Local free energy function (eV/mol)
type = DerivativeParsedMaterial
property_name = f_loc
coupled_variables = c
constant_names = 'A B C D E F G eV_J d'
constant_expressions = '-2.446831e+04 -2.827533e+04 4.167994e+03 7.052907e+03
1.208993e+04 2.568625e+03 -2.354293e+03
6.24150934e+18 1e-27'
expression = 'eV_J*d*(A*c+B*(1-c)+C*c*log(c)+D*(1-c)*log(1-c)+
E*c*(1-c)+F*c*(1-c)*(2*c-1)+G*c*(1-c)*(2*c-1)^2)'
derivative_order = 2
[../]
[./precipitate_indicator] # Returns 1/625 if precipitate
type = ParsedMaterial
property_name = prec_indic
coupled_variables = c
expression = if(c>0.6,0.0016,0)
[../]
[]
[Postprocessors]
[./step_size] # Size of the time step
type = TimestepSize
[../]
[./iterations] # Number of iterations needed to converge timestep
type = NumNonlinearIterations
[../]
[./nodes] # Number of nodes in mesh
type = NumNodes
[../]
[./evaluations] # Cumulative residual calculations for simulation
type = NumResidualEvaluations
[../]
[./total_energy] # Total free energy at each timestep
type = ElementIntegralVariablePostprocessor
variable = f_density
execute_on = 'initial timestep_end'
[../]
[./num_features] # Number of precipitates formed
type = FeatureFloodCount
variable = c
threshold = 0.6
[../]
[./precipitate_area] # Fraction of surface devoted to precipitates
type = ElementIntegralMaterialProperty
mat_prop = prec_indic
[../]
[./active_time] # Time computer spent on simulation
type = PerfGraphData
section_name = "Root"
data_type = total
[../]
[]
[Preconditioning]
[./coupled]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = NEWTON
l_max_its = 30
l_tol = 1e-6
nl_max_its = 50
nl_abs_tol = 1e-9
end_time = 604800 # 7 days
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_ksp_type
-sub_pc_type -pc_asm_overlap'
petsc_options_value = 'asm 31 preonly
ilu 1'
[./TimeStepper]
type = IterationAdaptiveDT
dt = 10
cutback_factor = 0.8
growth_factor = 1.5
optimal_iterations = 7
[../]
[./Adaptivity]
coarsen_fraction = 0.1
refine_fraction = 0.7
max_h_level = 2
[../]
[]
[Outputs]
exodus = true
console = true
csv = true
[./console]
type = Console
max_rows = 10
[../]
[]
(modules/porous_flow/test/tests/fluids/simple_fluid_yr_MPa_C.i)
# Test the properties calculated by the simple fluid Material
# Pressure unit is chosen to be MPa
# Time unit is chosen to be years
# Temperature unit is chosen to be Celsius
# Pressure 10 MPa
# Temperature = 26.85 C
# Density should equal 1500*exp(1E7/1E9-2E-4*300)=1426.844 kg/m^3
# Viscosity should equal 3.49E-17 MPa.yr
# Energy density should equal 4000 * 300 = 1.2E6 J/kg
# Specific enthalpy should equal 4000 * 300 + 10e6 / 1426.844 = 1.207008E6 J/kg
[FluidProperties]
[the_simple_fluid]
type = SimpleFluidProperties
thermal_expansion = 2.0E-4
cv = 4000.0
cp = 5000.0
bulk_modulus = 1.0E9
thermal_conductivity = 1.0
viscosity = 1.1E-3
density0 = 1500.0
[]
[]
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp T'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[pp]
initial_condition = 10
[]
[T]
initial_condition = 26.85
[]
[]
[Kernels]
[dummy_p]
type = Diffusion
variable = pp
[]
[dummy_T]
type = Diffusion
variable = T
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = T
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
temperature_unit = Celsius
pressure_unit = MPa
time_unit = years
fp = the_simple_fluid
phase = 0
[]
[]
[Postprocessors]
[pressure]
type = ElementIntegralVariablePostprocessor
variable = pp
[]
[temperature]
type = ElementIntegralVariablePostprocessor
variable = T
[]
[density]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_density_qp0'
[]
[viscosity]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_viscosity_qp0'
[]
[internal_energy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_internal_energy_qp0'
[]
[enthalpy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_enthalpy_qp0'
[]
[]
[Executioner]
type = Steady
solve_type = Newton
[]
[Outputs]
execute_on = 'timestep_end'
csv = true
[]
(modules/solid_mechanics/test/tests/tensile/random_update.i)
# Plasticity models:
# Planar tensile with strength = 1MPa
#
# Lame lambda = 1GPa. Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1000
ny = 1234
nz = 1
xmin = 0
xmax = 1000
ymin = 0
ymax = 1234
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
strain = finite
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[ICs]
[./x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[../]
[./y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[../]
[./z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '0'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '0'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '0'
[../]
[]
[AuxVariables]
[./f0]
order = CONSTANT
family = MONOMIAL
[../]
[./f1]
order = CONSTANT
family = MONOMIAL
[../]
[./f2]
order = CONSTANT
family = MONOMIAL
[../]
[./int0]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./f0]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = f0
[../]
[./f1]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 1
variable = f1
[../]
[./f2]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 2
variable = f2
[../]
[./int0]
type = MaterialStdVectorAux
property = plastic_internal_parameter
factor = 1E6
index = 0
variable = int0
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./tot_iters]
type = ElementIntegralMaterialProperty
mat_prop = plastic_NR_iterations
outputs = console
[../]
[./raw_f0]
type = ElementExtremeValue
variable = f0
outputs = console
[../]
[./raw_f1]
type = ElementExtremeValue
variable = f1
outputs = console
[../]
[./raw_f2]
type = ElementExtremeValue
variable = f2
outputs = console
[../]
[./iter]
type = ElementExtremeValue
variable = iter
outputs = console
[../]
[./f0]
type = FunctionValuePostprocessor
function = should_be_zero0_fcn
[../]
[./f1]
type = FunctionValuePostprocessor
function = should_be_zero1_fcn
[../]
[./f2]
type = FunctionValuePostprocessor
function = should_be_zero2_fcn
[../]
[]
[Functions]
[./should_be_zero0_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f0'
[../]
[./should_be_zero1_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f1'
[../]
[./should_be_zero2_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f2'
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningCubic
value_0 = 1E6
value_residual = 0
internal_limit = 1
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
fill_method = symmetric_isotropic
C_ijkl = '1E9 1.3E9'
[../]
[./tensile]
type = TensileStressUpdate
tensile_strength = ts
smoothing_tol = 1E5
max_NR_iterations = 100
yield_function_tol = 1.0E-1
[../]
[./stress]
type = ComputeMultipleInelasticStress
inelastic_models = tensile
perform_finite_strain_rotations = false
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = random_update
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/test/tests/uel/small_test_expanded.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
xmax = 10
ymax = 3
elem_type = TRI3
[]
[pin]
type = ExtraNodesetGenerator
nodes = 106
new_boundary = pin
input = gen
[]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[BCs]
[left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[]
[left_y]
type = DirichletBC
variable = disp_y
boundary = pin
value = 0
[]
inactive = 'right_dirichlet'
[right_neumann]
type = FunctionNeumannBC
variable = disp_x
function = t
boundary = right
[]
[right_dirichlet]
type = FunctionDirichletBC
variable = disp_x
function = t/10
boundary = right
[]
[]
[UserObjects]
[uel]
type = AbaqusUserElement
variables = 'disp_x disp_y'
plugin = ../../../examples/uel_tri_tests/uel
use_displaced_mesh = false
num_state_vars = 18
constant_properties = '100 0.3' # E nu
extra_vector_tags = 'kernel_residual'
[]
[]
[Problem]
kernel_coverage_check = false
extra_tag_vectors = 'kernel_residual'
[]
[AuxVariables]
[res_x]
[]
[res_y]
[]
[]
[AuxKernels]
[res_x]
type = TagVectorAux
variable = res_x
v = disp_x
vector_tag = kernel_residual
[]
[res_y]
type = TagVectorAux
variable = res_y
v = disp_y
vector_tag = kernel_residual
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
dt = 1
num_steps = 15
[]
[Postprocessors]
[delta_l]
type = SideAverageValue
variable = disp_x
boundary = right
execute_on = 'INITIAL TIMESTEP_END'
[]
[V]
type = ElementIntegralMaterialProperty
mat_prop = 1
use_displaced_mesh = true
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Outputs]
exodus = true
csv = true
[]
(modules/combined/test/tests/optimization/thermal_sensitivity/2d_root.i)
vol_frac = 0.5
E0 = 1
Emin = 1e-4
power = 1
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 20
xmin = 0
xmax = 40
ymin = 0
ymax = 40
[]
[]
[Variables]
[T]
initial_condition = 100
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[]
[Kernels]
[heat]
type = HeatConduction
diffusion_coefficient = k
variable = T
[]
[heat_source]
type = HeatSource
function = 1e-2
variable = T
[]
[]
[DiracKernels]
[src]
type = ConstantPointSource
variable = T
point = '0 5 0'
value = 10
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = T
boundary = 'right top bottom'
value = 0.0
[]
[]
[Materials]
[k]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = k
[]
[dc]
type = ThermalSensitivity
temperature = T
design_density = mat_den
thermal_conductivity = k
[]
#only needed for objective function output in postprocessor
[thermal_compliance]
type = ThermalCompliance
temperature = T
thermal_conductivity = k
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 3
weights = linear
prop_name = thermal_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[update]
type = DensityUpdate
density_sensitivity = Dc
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
[]
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-8
dt = 1.0
dtmin = 1.0
num_steps = 20
[]
[Outputs]
[out]
type = CSV
execute_on = 'FINAL'
[]
print_linear_residuals = false
[]
[Postprocessors]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = thermal_sensitivity
[]
[objective_thermal]
type = ElementIntegralMaterialProperty
mat_prop = thermal_compliance
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
(modules/combined/test/tests/optimization/compliance_sensitivity/paper_three_materials_test.i)
vol_frac = 0.4
cost_frac = 0.2 #0.283 # Change back to 0.4
power = 4
E0 = 1.0e-6
E1 = 0.2
E2 = 0.6
E3 = 1.0
rho0 = 1.0e-6
rho1 = 0.4
rho2 = 0.7
rho3 = 1.0
C0 = 1.0e-6
C1 = 0.5
C2 = 0.8
C3 = 1.0
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 50
ny = 50
xmin = 0
xmax = 50
ymin = 0
ymax = 50
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold
nodes = 0
[]
[push_left]
type = ExtraNodesetGenerator
input = node
new_boundary = push_left
coord = '25 0 0'
[]
[push_center]
type = ExtraNodesetGenerator
input = push_left
new_boundary = push_center
coord = '50 0 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[Cc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[Cost]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[]
[AuxKernels]
[Cost]
type = MaterialRealAux
variable = Cost
property = Cost_mat
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = hold
value = 0.0
[]
[no_x_symm]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[]
[NodalKernels]
[push_left]
type = NodalGravity
variable = disp_y
boundary = push_left
gravity_value = -1e-3
mass = 1
[]
[push_center]
type = NodalGravity
variable = disp_y
boundary = push_center
gravity_value = -1e-3
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${E0}-${E1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${E0}-A1*${rho0}^${power}; E1:=A1*mat_den^${power}+B1; "
"A2:=(${E1}-${E2})/(${rho1}^${power}-${rho2}^${power}); "
"B2:=${E1}-A2*${rho1}^${power}; E2:=A2*mat_den^${power}+B2; "
"A3:=(${E2}-${E3})/(${rho2}^${power}-${rho3}^${power}); "
"B3:=${E2}-A3*${rho2}^${power}; E3:=A3*mat_den^${power}+B3; "
"if(mat_den<${rho1},E1,if(mat_den<${rho2},E2,E3))"
coupled_variables = 'mat_den'
property_name = E_phys
[]
[Cost_mat]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${C0}-${C1})/(${rho0}^(1/${power})-${rho1}^(1/${power})); "
"B1:=${C0}-A1*${rho0}^(1/${power}); C1:=A1*mat_den^(1/${power})+B1; "
"A2:=(${C1}-${C2})/(${rho1}^(1/${power})-${rho2}^(1/${power})); "
"B2:=${C1}-A2*${rho1}^(1/${power}); C2:=A2*mat_den^(1/${power})+B2; "
"A3:=(${C2}-${C3})/(${rho2}^(1/${power})-${rho3}^(1/${power})); "
"B3:=${C2}-A3*${rho2}^(1/${power}); C3:=A3*mat_den^(1/${power})+B3; "
"if(mat_den<${rho1},C1,if(mat_den<${rho2},C2,C3))"
coupled_variables = 'mat_den'
property_name = Cost_mat
[]
[CostDensity]
type = ParsedMaterial
property_name = CostDensity
coupled_variables = 'mat_den Cost'
expression = 'mat_den*Cost'
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
[]
[cc]
type = CostSensitivity
design_density = mat_den
cost = Cost_mat
outputs = 'exodus'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 2
weights = linear
prop_name = sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[rad_avg_cost]
type = RadialAverage
radius = 2
weights = linear
prop_name = cost_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[update]
type = DensityUpdateTwoConstraints
# This is
density_sensitivity = Dc
cost_density_sensitivity = Cc
cost = Cost
cost_fraction = ${cost_frac}
design_density = mat_den
volume_fraction = ${vol_frac}
bisection_lower_bound = 0
bisection_upper_bound = 1.0e16 # 100
relative_tolerance = 1.0e-3
bisection_move = 0.02
execute_on = TIMESTEP_BEGIN
[]
# Provides Dc
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
# Provides Cc
[calc_sense_cost]
type = SensitivityFilter
density_sensitivity = Cc
design_density = mat_den
filter_UO = rad_avg_cost
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-10
dt = 1.0
num_steps = 25
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[cost_sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = cost_sensitivity
[]
[cost]
type = ElementIntegralMaterialProperty
mat_prop = CostDensity
[]
[cost_frac]
type = ParsedPostprocessor
expression = 'cost / mesh_volume'
pp_names = 'cost mesh_volume'
[]
[objective]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
(modules/solid_mechanics/test/tests/uel/small_test.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
xmax = 10
ymax = 3
elem_type = TRI3
[]
[pin]
type = ExtraNodesetGenerator
nodes = 106
new_boundary = pin
input = gen
[]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[BCs]
[left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[]
[left_y]
type = DirichletBC
variable = disp_y
boundary = pin
value = 0
[]
inactive = 'right_dirichlet'
[right_neumann]
type = FunctionNeumannBC
variable = disp_x
function = t
boundary = right
[]
[right_dirichlet]
type = FunctionDirichletBC
variable = disp_x
function = t/10
boundary = right
[]
[]
[UserObjects]
[uel]
type = AbaqusUserElement
variables = 'disp_x disp_y'
plugin = ../../../examples/uel_tri_tests/uel
use_displaced_mesh = false
num_state_vars = 6
constant_properties = '100 0.3' # E nu
extra_vector_tags = 'kernel_residual'
[]
[]
[Problem]
kernel_coverage_check = false
extra_tag_vectors = 'kernel_residual'
[]
[AuxVariables]
[res_x]
[]
[res_y]
[]
[]
[AuxKernels]
[res_x]
type = TagVectorAux
variable = res_x
v = disp_x
vector_tag = kernel_residual
[]
[res_y]
type = TagVectorAux
variable = res_y
v = disp_y
vector_tag = kernel_residual
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
dt = 1
num_steps = 15
[]
[Postprocessors]
[delta_l]
type = SideAverageValue
variable = disp_x
boundary = right
execute_on = 'INITIAL TIMESTEP_END'
[]
[V]
type = ElementIntegralMaterialProperty
mat_prop = 1
use_displaced_mesh = true
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Outputs]
exodus = true
csv = true
[]
(modules/solid_mechanics/test/tests/uel/reference.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
xmax = 10
ymax = 3
elem_type = TRI3
[]
[pin]
type = ExtraNodesetGenerator
nodes = 106
new_boundary = pin
input = gen
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = SMALL
incremental = false
add_variables = true
extra_vector_tags = 'kernel_residual'
[]
[]
[BCs]
[left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[]
[left_y]
type = DirichletBC
variable = disp_y
boundary = pin
value = 0
[]
inactive = 'right_dirichlet'
[right_neumann]
type = FunctionNeumannBC
variable = disp_x
function = t
boundary = right
[]
[right_dirichlet]
type = FunctionDirichletBC
variable = disp_x
function = t/10
boundary = right
[]
[]
[Materials]
[stress]
type = ComputeLinearElasticStress
[]
[elasticity]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100
poissons_ratio = 0.3
[]
[]
[Problem]
extra_tag_vectors = 'kernel_residual'
[]
[AuxVariables]
[res_x]
[]
[res_y]
[]
[]
[AuxKernels]
[res_x]
type = TagVectorAux
variable = res_x
v = disp_x
vector_tag = kernel_residual
[]
[res_y]
type = TagVectorAux
variable = res_y
v = disp_y
vector_tag = kernel_residual
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
dt = 1
num_steps = 15
[]
[Postprocessors]
[delta_l]
type = SideAverageValue
variable = disp_x
boundary = right
execute_on = 'INITIAL TIMESTEP_END'
[]
[V]
type = ElementIntegralMaterialProperty
mat_prop = 1
use_displaced_mesh = true
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Outputs]
exodus = true
csv = true
[]
(modules/solid_mechanics/test/tests/tensile/random_planar.i)
# Plasticity models:
# Planar tensile with strength = 1MPa
#
# Lame lambda = 1GPa. Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1000
ny = 1250
nz = 1
xmin = 0
xmax = 1000
ymin = 0
ymax = 1250
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
strain = finite
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[ICs]
[./x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[../]
[./y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[../]
[./z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '0'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '0'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '0'
[../]
[]
[AuxVariables]
[./f0]
order = CONSTANT
family = MONOMIAL
[../]
[./f1]
order = CONSTANT
family = MONOMIAL
[../]
[./f2]
order = CONSTANT
family = MONOMIAL
[../]
[./int0]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./f0]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = f0
[../]
[./f1]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 1
variable = f1
[../]
[./f2]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 2
variable = f2
[../]
[./int0]
type = MaterialStdVectorAux
property = plastic_internal_parameter
factor = 1E6
index = 0
variable = int0
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./tot_iters]
type = ElementIntegralMaterialProperty
mat_prop = plastic_NR_iterations
outputs = console
[../]
[./raw_f0]
type = ElementExtremeValue
variable = f0
outputs = console
[../]
[./raw_f1]
type = ElementExtremeValue
variable = f1
outputs = console
[../]
[./raw_f2]
type = ElementExtremeValue
variable = f2
outputs = console
[../]
[./iter]
type = ElementExtremeValue
variable = iter
outputs = console
[../]
[./f0]
type = FunctionValuePostprocessor
function = should_be_zero0_fcn
[../]
[./f1]
type = FunctionValuePostprocessor
function = should_be_zero1_fcn
[../]
[./f2]
type = FunctionValuePostprocessor
function = should_be_zero2_fcn
[../]
[]
[Functions]
[./should_be_zero0_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f0'
[../]
[./should_be_zero1_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f1'
[../]
[./should_be_zero2_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f2'
[../]
[]
[UserObjects]
[./hard]
type = SolidMechanicsHardeningCubic
value_0 = 1E6
value_residual = 0
internal_limit = 1
[../]
[./tensile]
type = SolidMechanicsPlasticTensileMulti
tensile_strength = hard
yield_function_tolerance = 1.0E-1
shift = 1.0E-1
internal_constraint_tolerance = 1.0E-7
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '1E9 1.3E9'
[../]
[./multi]
type = ComputeMultiPlasticityStress
block = 0
deactivation_scheme = 'safe_to_dumb'
ep_plastic_tolerance = 1E-7
plastic_models = 'tensile'
max_NR_iterations = 5
min_stepsize = 1E-3
max_stepsize_for_dumb = 1
debug_fspb = crash
debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
debug_jac_at_pm = '1 1 1'
debug_jac_at_intnl = '1 1 1'
debug_stress_change = 1E1
debug_pm_change = '1E-6 1E-6 1E-6'
debug_intnl_change = '1E-6 1E-6 1E-6'
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = random_planar
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/combined/examples/optimization/multi-load/single_subapp_one.i)
power = 2
E0 = 1.0
Emin = 1.0e-6
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
# final_generator = 'MoveRight'
[Bottom]
type = GeneratedMeshGenerator
dim = 2
nx = 80
ny = 40
xmin = 0
xmax = 150
ymin = 0
ymax = 75
[]
[left_load]
type = ExtraNodesetGenerator
input = Bottom
new_boundary = left_load
coord = '37.5 75 0'
[]
[right_load]
type = ExtraNodesetGenerator
input = left_load
new_boundary = right_load
coord = '112.5 75 0'
[]
[left_support]
type = ExtraNodesetGenerator
input = right_load
new_boundary = left_support
coord = '0 0 0'
[]
[right_support]
type = ExtraNodesetGenerator
input = left_support
new_boundary = right_support
coord = '150 0 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = SECOND
initial_condition = -1.0
[]
[Cc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = 0.1
[]
[sensitivity_var]
family = MONOMIAL
order = SECOND
initial_condition = -1.0
[]
[]
[AuxKernels]
[sensitivity_kernel]
type = MaterialRealAux
property = sensitivity
variable = sensitivity_var
check_boundary_restricted = false
execute_on = 'TIMESTEP_END'
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = left_support
value = 0.0
[]
[no_x]
type = DirichletBC
variable = disp_x
boundary = left_support
value = 0.0
[]
[no_y_right]
type = DirichletBC
variable = disp_y
boundary = right_support
value = 0.0
[]
[]
[NodalKernels]
[push_left]
type = NodalGravity
variable = disp_y
boundary = left_load
gravity_value = -1e-3
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.0
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 3
weights = linear
prop_name = sensitivity
force_preaux = true
execute_on = 'TIMESTEP_END'
[]
# No SIMP optimization in subapp
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
force_postaux = true
execute_on = 'TIMESTEP_END'
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-10
dt = 1.0
num_steps = 25
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
execute_on = 'TIMESTEP_BEGIN TIMESTEP_END NONLINEAR'
[]
[objective]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
(test/tests/postprocessors/element_integral_material_property/element_integral_material_property.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
xmax = 2
ymax = 2
[]
[Variables]
[./u]
[../]
[]
[Kernels]
[./diff]
type = Diffusion
variable = u
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = u
boundary = left
value = 0
[../]
[./right]
type = DirichletBC
variable = u
boundary = right
value = 1
[../]
[]
[Materials]
[./mat]
type = GenericConstantMaterial
block = 0
prop_names = prop
prop_values = 2.0
[../]
[]
[Postprocessors]
[./prop_integral]
type = ElementIntegralMaterialProperty
mat_prop = prop
execute_on = 'initial timestep_end'
[../]
[]
[Executioner]
type = Steady
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_hypre_type'
petsc_options_value = 'hypre boomeramg'
[]
[Outputs]
exodus = true
[]
(modules/solid_mechanics/test/tests/truss/truss_plastic.i)
[Mesh]
type = GeneratedMesh
dim = 1
elem_type = EDGE
nx = 1
[]
[GlobalParams]
displacements = 'disp_x'
[]
[Variables]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[]
[AuxVariables]
[./axial_stress]
order = CONSTANT
family = MONOMIAL
[../]
[./e_over_l]
order = CONSTANT
family = MONOMIAL
[../]
[./area]
order = CONSTANT
family = MONOMIAL
[../]
[./react_x]
order = FIRST
family = LAGRANGE
[../]
[]
[Functions]
[./hf]
type = PiecewiseLinear
x = '0 0.0001 0.0003 0.0023'
y = '50e6 52e6 54e6 56e6'
[../]
[]
[BCs]
[./fixx1]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[../]
[./load]
type = FunctionDirichletBC
variable = disp_x
boundary = right
function = 't'
[../]
[]
[AuxKernels]
[./axial_stress]
type = MaterialRealAux
property = axial_stress
variable = axial_stress
execute_on = 'initial TIMESTEP_END'
[../]
[./e_over_l]
type = MaterialRealAux
property = e_over_l
variable = e_over_l
execute_on = 'initial TIMESTEP_END'
[../]
[./area]
type = ConstantAux
variable = area
value = 1.0
execute_on = 'initial timestep_begin'
[../]
[]
[Postprocessors]
[./s_xx]
type = ElementIntegralMaterialProperty
mat_prop = axial_stress
[../]
[./e_xx]
type = ElementIntegralMaterialProperty
mat_prop = total_stretch
[../]
[./ee_xx]
type = ElementIntegralMaterialProperty
mat_prop = elastic_stretch
[../]
[./ep_xx]
type = ElementIntegralMaterialProperty
mat_prop = plastic_stretch
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
nl_abs_tol = 1e-11
l_max_its = 20
dt = 5e-5
num_steps = 10
[]
[Kernels]
[./solid]
type = StressDivergenceTensorsTruss
component = 0
variable = disp_x
area = area
save_in = react_x
[../]
[]
[Materials]
[./truss]
type = PlasticTruss
youngs_modulus = 2.0e11
yield_stress = 500e5
outputs = 'exodus'
output_properties = 'elastic_stretch hardening_variable plastic_stretch total_stretch'
[../]
[]
[Outputs]
exodus = true
[]
(modules/porous_flow/test/tests/fluids/brine1.i)
# Test the density and viscosity calculated by the brine material
# Pressure 20 MPa
# Temperature 50C
# xnacl = 0.1047 (equivalent to 2.0 molality)
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[pp]
initial_condition = 20e6
[]
[]
[Kernels]
[dummy]
type = Diffusion
variable = pp
[]
[]
[AuxVariables]
[temp]
initial_condition = 50
[]
[xnacl]
initial_condition = 0.1047
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[brine]
type = PorousFlowBrine
temperature_unit = Celsius
xnacl = xnacl
phase = 0
[]
[]
[Executioner]
type = Steady
solve_type = Newton
[]
[Postprocessors]
[pressure]
type = ElementIntegralVariablePostprocessor
variable = pp
[]
[temperature]
type = ElementIntegralVariablePostprocessor
variable = temp
[]
[xnacl]
type = ElementIntegralVariablePostprocessor
variable = xnacl
[]
[density]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_density_qp0'
[]
[viscosity]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_viscosity_qp0'
[]
[enthalpy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_enthalpy_qp0'
[]
[internal_energy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_internal_energy_qp0'
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = brine1
csv = true
[]
(modules/porous_flow/test/tests/fluids/simple_fluid_yr_MPa_C_action.i)
# Version of simple_fluid_yr_MPa_C.i but using a PorousFlowFullySaturated Action, to check that the Action passes the unit choices through to the remainder of PorousFlow
[FluidProperties]
[the_simple_fluid]
type = SimpleFluidProperties
thermal_expansion = 2.0E-4
cv = 4000.0
cp = 5000.0
bulk_modulus = 1.0E9
thermal_conductivity = 1.0
viscosity = 1.1E-3
density0 = 1500.0
[]
[]
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
gravity = '0 0 0'
[]
[Variables]
[pp]
initial_condition = 10
[]
[T]
initial_condition = 26.85
[]
[]
[PorousFlowFullySaturated]
coupling_type = ThermoHydro
porepressure = pp
temperature = T
temperature_unit = Celsius
pressure_unit = MPa
time_unit = years
fp = the_simple_fluid
[]
[Materials]
# these are needed by the Kernels, but are irrelevant to this particular problem
[porosity]
type = PorousFlowPorosityConst
porosity = 0.2
[]
[zero_thermal_conductivity]
type = PorousFlowThermalConductivityIdeal
dry_thermal_conductivity = '0 0 0 0 0 0 0 0 0'
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1.0
density = 1.0
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '0 0 0 0 0 0 0 0 0'
[]
[]
[Postprocessors]
[pressure]
type = ElementIntegralVariablePostprocessor
variable = pp
[]
[temperature]
type = ElementIntegralVariablePostprocessor
variable = T
[]
[density]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_density_qp0'
[]
[viscosity]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_viscosity_qp0'
[]
[internal_energy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_internal_energy_nodal0'
[]
[enthalpy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_enthalpy_nodal0'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
dt = 1
num_steps = 1
solve_type = Newton
[]
[Outputs]
file_base = simple_fluid_yr_MPa_C_out
execute_on = 'timestep_end'
csv = true
[]
(modules/phase_field/test/tests/GrandPotentialPFM/GrandPotentialPFM.i)
# this input file test the implementation of the grand-potential phase-field model based on M.Plapp PRE 84,031601(2011)
# in this simple example, the liquid and solid free energies are parabola with the same curvature and the material properties are constant
# Note that this example also test The SusceptibilityTimeDerivative kernels
[Mesh]
type = GeneratedMesh
dim = 2
nx = 16
ny = 16
xmax = 32
ymax = 32
[]
[GlobalParams]
radius = 20.0
int_width = 4.0
x1 = 0
y1 = 0
[]
[Variables]
[./w]
[../]
[./eta]
[../]
[]
[ICs]
[./w]
type = SmoothCircleIC
variable = w
# note w = A*(c-cleq), A = 1.0, cleq = 0.0 ,i.e., w = c (in the matrix/liquid phase)
outvalue = -0.2
invalue = 0.2
[../]
[./eta]
type = SmoothCircleIC
variable = eta
outvalue = 0.0
invalue = 1.0
[../]
[]
[Kernels]
[./w_dot]
type = SusceptibilityTimeDerivative
variable = w
f_name = chi
coupled_variables = '' # in this case chi (the susceptibility) is simply a constant
[../]
[./Diffusion]
type = MatDiffusion
variable = w
diffusivity = D
args = ''
[../]
[./coupled_etadot]
type = CoupledSusceptibilityTimeDerivative
variable = w
v = eta
f_name = ft
coupled_variables = 'eta'
[../]
[./AC_bulk]
type = AllenCahn
variable = eta
f_name = F
coupled_variables = 'w'
[../]
[./AC_int]
type = ACInterface
variable = eta
[../]
[./e_dot]
type = TimeDerivative
variable = eta
[../]
[]
[Materials]
[./constants]
type = GenericConstantMaterial
prop_names = 'kappa_op D L chi cseq cleq A'
prop_values = '4.0 1.0 1.0 1.0 0.0 1.0 1.0'
[../]
[./liquid_GrandPotential]
type = DerivativeParsedMaterial
expression = '-0.5 * w^2/A - cleq * w'
coupled_variables = 'w'
property_name = f1
material_property_names = 'cleq A'
[../]
[./solid_GrandPotential]
type = DerivativeParsedMaterial
expression = '-0.5 * w^2/A - cseq * w'
coupled_variables = 'w'
property_name = f2
material_property_names = 'cseq A'
[../]
[./switching_function]
type = SwitchingFunctionMaterial
eta = eta
h_order = HIGH
[../]
[./barrier_function]
type = BarrierFunctionMaterial
eta = eta
[../]
[./cs]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = cs
material_property_names = 'A cseq'
expression = 'w/A + cseq' # since w = A*(c-cseq)
derivative_order = 2
[../]
[./cl]
type = DerivativeParsedMaterial
coupled_variables = 'w'
property_name = cl
material_property_names = 'A cleq'
expression = 'w/A + cleq' # since w = A*(c-cleq)
derivative_order = 2
[../]
[./total_GrandPotential]
type = DerivativeTwoPhaseMaterial
coupled_variables = 'w'
eta = eta
fa_name = f1
fb_name = f2
derivative_order = 2
W = 1.0
[../]
[./coupled_eta_function]
type = DerivativeParsedMaterial
expression = '(cs - cl) * dh'
coupled_variables = 'eta w'
property_name = ft
material_property_names = 'cs cl dh:=D[h,eta]'
derivative_order = 1
outputs = exodus
[../]
[./concentration]
type = ParsedMaterial
property_name = c
material_property_names = 'dF:=D[F,w]'
expression = '-dF'
outputs = exodus
[../]
[]
[Postprocessors]
[./C]
type = ElementIntegralMaterialProperty
mat_prop = c
execute_on = 'initial timestep_end'
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = NEWTON
l_max_its = 15
l_tol = 1e-3
nl_max_its = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-8
num_steps = 5
dt = 10.0
[]
[Outputs]
exodus = true
csv = true
execute_on = 'TIMESTEP_END'
[]
(modules/combined/test/tests/optimization/compliance_sensitivity/2d_mbb_pde.i)
vol_frac = 0.5
E0 = 1
Emin = 1e-8
power = 3
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 150
ny = 50
xmin = 0
xmax = 30
ymin = 0
ymax = 10
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold_y
nodes = 0
[]
[push]
type = ExtraNodesetGenerator
input = node
new_boundary = push
coord = '30 10 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[Dc]
initial_condition = -1.0
[]
[]
[AuxVariables]
[sensitivity]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[AuxKernel]
type = MaterialRealAux
variable = sensitivity
property = sensitivity
execute_on = LINEAR
[]
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[Dc_elem]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[AuxKernel]
type = SelfAux
variable = Dc_elem
v = Dc
execute_on = 'TIMESTEP_END'
[]
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[Kernels]
[diffusion]
type = FunctionDiffusion
variable = Dc
function = 0.15 # radius coeff
[]
[potential]
type = Reaction
variable = Dc
[]
[source]
type = CoupledForce
variable = Dc
v = sensitivity
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_y
boundary = hold_y
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[boundary_penalty]
type = ADRobinBC
variable = Dc
boundary = 'left top'
coefficient = 10
[]
[boundary_penalty_right]
type = ADRobinBC
variable = Dc
boundary = 'right'
coefficient = 10
[]
[]
[NodalKernels]
[push]
type = NodalGravity
variable = disp_y
boundary = push
gravity_value = -1
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
incremental = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[update]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = none
nl_abs_tol = 1e-4
l_max_its = 200
start_time = 0.0
dt = 1.0
num_steps = 70
[]
[Outputs]
[out]
type = CSV
execute_on = 'INITIAL TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[]
[Controls]
[first_period]
type = TimePeriod
start_time = 0.0
end_time = 10
enable_objects = 'BCs::boundary_penalty_right'
execute_on = 'initial timestep_begin'
[]
[]
(modules/combined/test/tests/optimization/compliance_sensitivity/2d_mmb_2material_cost.i)
vol_frac = 0.5
power = 3
E0 = 1.0e-6
E1 = 0.3
E2 = 1.0
rho0 = 1.0e-6
rho1 = 0.3
rho2 = 1.0
C0 = 1.0e-6
C1 = 0.5
C2 = 1.0
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 150
ny = 50
xmin = 0
xmax = 30
ymin = 0
ymax = 10
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold
nodes = 0
[]
[push]
type = ExtraNodesetGenerator
input = node
new_boundary = push
coord = '30 10 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_y
boundary = hold
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[]
[NodalKernels]
[push]
type = NodalGravity
variable = disp_y
boundary = push
gravity_value = -1
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${E0}-${E1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${E0}-A1*${rho0}^${power}; E1:=A1*mat_den^${power}+B1; "
"A2:=(${E1}-${E2})/(${rho1}^${power}-${rho2}^${power}); "
"B2:=${E1}-A2*${rho1}^${power}; E2:=A2*mat_den^${power}+B2; "
"if(mat_den<${rho1},E1,E2)"
coupled_variables = 'mat_den'
property_name = E_phys
[]
[Cost]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${C0}-${C1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${C0}-A1*${rho0}^${power}; C1:=A1*mat_den^${power}+B1; "
"A2:=(${C1}-${C2})/(${rho1}^${power}-${rho2}^${power}); "
"B2:=${C1}-A2*${rho1}^${power}; C2:=A2*mat_den^${power}+B2; "
"if(mat_den<${rho1},C1,C2)"
coupled_variables = 'mat_den'
property_name = Cost
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
[]
[cc]
type = CostSensitivity
design_density = mat_den
cost = Cost
outputs = 'exodus'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 1.2
weights = linear
prop_name = sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[update]
type = DensityUpdate
density_sensitivity = Dc
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
[]
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-8
dt = 1.0
num_steps = 70
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[]
(modules/thermal_hydraulics/test/tests/components/flow_channel_1phase/phy.par_fn.i)
#
# Tests the ability to set the hydraulic diameter by function.
#
D_h = 5
[GlobalParams]
gravity_vector = '0 0 0'
initial_p = 1e6
initial_T = 453.1
initial_vel = 0.0
closures = simple_closures
[]
[Functions]
[dh_fn]
type = ConstantFunction
value = ${D_h}
[]
[]
[FluidProperties]
[eos]
type = StiffenedGasFluidProperties
gamma = 2.35
cv = 1816.0
q = -1.167e6
p_inf = 1.0e9
q_prime = 0
[]
[]
[Closures]
[simple_closures]
type = Closures1PhaseSimple
[]
[]
[Components]
[left_wall]
type = SolidWall1Phase
input = pipe:in
[]
[pipe]
type = FlowChannel1Phase
position = '0 0 0'
orientation = '1 0 0'
length = 1
n_elems = 1
A = 1.0e-4
D_h = dh_fn
f = 0.0
fp = eos
[]
[right_wall]
type = SolidWall1Phase
input = pipe:out
[]
[]
[Preconditioning]
[SMP_PJFNK]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
scheme = 'bdf2'
start_time = 0.0
dt = 1
num_steps = 1
abort_on_solve_fail = true
solve_type = 'PJFNK'
line_search = 'basic'
nl_rel_tol = 1e-5
nl_abs_tol = 1e-6
nl_max_its = 30
l_tol = 1e-3
l_max_its = 100
[]
[Postprocessors]
[D_h]
type = ADElementIntegralMaterialProperty
mat_prop = D_h
block = pipe
[]
[]
[Outputs]
csv = true
show = 'D_h'
execute_on = 'timestep_end'
[]
(modules/porous_flow/test/tests/fluids/h2o.i)
# Test the density and viscosity calculated by the water Material
# Region 1 density
# Pressure 80 MPa
# Temperature 300K (26.85C)
# Water density should equal 1.0 / 0.971180894e-3 = 1029.7 kg/m^3 (IAPWS IF97)
# Water viscosity should equal 0.00085327 Pa.s (NIST webbook)
# Results are within expected accuracy
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[pp]
initial_condition = 80e6
[]
[]
[Kernels]
[dummy]
type = Diffusion
variable = pp
[]
[]
[AuxVariables]
[temp]
initial_condition = 300.0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[water]
type = PorousFlowSingleComponentFluid
temperature_unit = Kelvin
fp = water
phase = 0
[]
[]
[FluidProperties]
[water]
type = Water97FluidProperties
[]
[]
[Executioner]
type = Steady
solve_type = Newton
[]
[Postprocessors]
[pressure]
type = ElementIntegralVariablePostprocessor
variable = pp
[]
[temperature]
type = ElementIntegralVariablePostprocessor
variable = temp
[]
[density]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_density_qp0'
[]
[viscosity]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_viscosity_qp0'
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = h2o
csv = true
[]
(modules/phase_field/examples/measure_interface_energy/1Dinterface_energy.i)
[Mesh]
type = GeneratedMesh
dim = 1
nx = 100
xmax = 100
xmin = 0
elem_type = EDGE
[]
[AuxVariables]
[./local_energy]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./local_free_energy]
type = TotalFreeEnergy
variable = local_energy
kappa_names = kappa_c
interfacial_vars = c
[../]
[]
[Variables]
[./c]
order = FIRST
family = LAGRANGE
scaling = 1e1
[./InitialCondition]
type = RampIC
variable = c
value_left = 0
value_right = 1
[../]
[../]
[./w]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./c_res]
type = SplitCHParsed
variable = c
f_name = F
kappa_name = kappa_c
w = w
[../]
[./w_res]
type = SplitCHWRes
variable = w
mob_name = M
[../]
[./time]
type = CoupledTimeDerivative
variable = w
v = c
[../]
[]
[Functions]
[./Int_energy]
type = ParsedFunction
symbol_values = 'total_solute Cleft Cright Fleft Fright volume'
expression = '((total_solute-Cleft*volume)/(Cright-Cleft))*Fright+(volume-(total_solute-Cleft*volume)/(Cright-Cleft))*Fleft'
symbol_names = 'total_solute Cleft Cright Fleft Fright volume'
[../]
[./Diff]
type = ParsedFunction
symbol_values = 'total_free_energy total_no_int'
symbol_names = 'total_free_energy total_no_int'
expression = total_free_energy-total_no_int
[../]
[]
[Materials]
[./consts]
type = GenericConstantMaterial
prop_names = 'kappa_c M'
prop_values = '25 150'
[../]
[./Free_energy]
type = DerivativeParsedMaterial
property_name = F
expression = 'c^2*(c-1)^2'
coupled_variables = c
derivative_order = 2
[../]
[]
[Postprocessors]
# The total free energy of the simulation cell to observe the energy reduction.
[./total_free_energy]
type = ElementIntegralVariablePostprocessor
variable = local_energy
[../]
# for testing we also monitor the total solute amount, which should be conserved,
# gives Cavg in % for this problem.
[./total_solute]
type = ElementIntegralVariablePostprocessor
variable = c
[../]
# Get simulation cell size (1D volume) from postprocessor
[./volume]
type = ElementIntegralMaterialProperty
mat_prop = 1
[../]
# Find concentration in each phase using SideAverageValue
[./Cleft]
type = SideAverageValue
boundary = left
variable = c
[../]
[./Cright]
type = SideAverageValue
boundary = right
variable = c
[../]
# Find local energy in each phase by checking boundaries
[./Fleft]
type = SideAverageValue
boundary = left
variable = local_energy
[../]
[./Fright]
type = SideAverageValue
boundary = right
variable = local_energy
[../]
# Use concentrations and energies to find total free energy without any interface,
# only applies once equilibrium is reached!!
# Difference between energy with and without interface
# gives interface energy per unit area.
[./total_no_int]
type = FunctionValuePostprocessor
function = Int_energy
[../]
[./Energy_of_Interface]
type = FunctionValuePostprocessor
function = Diff
[../]
[]
[Preconditioning]
# This preconditioner makes sure the Jacobian Matrix is fully populated. Our
# kernels compute all Jacobian matrix entries.
# This allows us to use the Newton solver below.
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
scheme = 'bdf2'
# Automatic differentiation provides a _full_ Jacobian in this example
# so we can safely use NEWTON for a fast solve
solve_type = 'NEWTON'
l_max_its = 15
l_tol = 1.0e-6
nl_max_its = 15
nl_rel_tol = 1.0e-10
nl_abs_tol = 1.0e-4
start_time = 0.0
# make sure that the result obtained for the interfacial free energy is fully converged
end_time = 40
[./TimeStepper]
type = SolutionTimeAdaptiveDT
dt = 0.5
[../]
[]
[Outputs]
gnuplot = true
csv = true
[./exodus]
type = Exodus
show = 'c local_energy'
execute_on = 'failed initial nonlinear timestep_end final'
[../]
[./console]
type = Console
execute_on = 'FAILED INITIAL NONLINEAR TIMESTEP_END final'
[../]
perf_graph = true
[]
(modules/combined/examples/optimization/thermomechanical/thermal_sub.i)
vol_frac = 0.4
power = 2.0
E0 = 1.0e-6
E1 = 1.0
rho0 = 0.0
rho1 = 1.0
C0 = 1.0e-6
C1 = 1.0
TC0 = 1.0e-16
TC1 = 1.0
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 40
xmin = 0
xmax = 40
ymin = 0
ymax = 40
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold
nodes = 0
[]
[push_left]
type = ExtraNodesetGenerator
input = node
new_boundary = push_left
coord = '16 0 0'
[]
[push_center]
type = ExtraNodesetGenerator
input = push_left
new_boundary = push_center
coord = '24 0 0'
[]
[extra]
type = SideSetsFromBoundingBoxGenerator
input = push_center
bottom_left = '-0.01 17.999 0'
top_right = '5 22.001 0'
boundary_new = n1
boundaries_old = left
[]
[dirichlet_bc]
type = SideSetsFromNodeSetsGenerator
input = extra
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 100.0
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[Cc]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[Tc]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[Cost]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = FIRST
initial_condition = ${vol_frac}
[]
[]
[AuxKernels]
[Cost]
type = MaterialRealAux
variable = Cost
property = Cost_mat
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temp
diffusion_coefficient = thermal_cond
[]
[heat_source]
type = HeatSource
value = 1e-2 # W/m^3
variable = temp
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = hold
value = 0.0
[]
[no_x_symm]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[left_n1]
type = DirichletBC
variable = temp
boundary = n1
value = 0.0
[]
[top]
type = NeumannBC
variable = temp
boundary = top
value = 0
[]
[bottom]
type = NeumannBC
variable = temp
boundary = bottom
value = 0
[]
[right]
type = NeumannBC
variable = temp
boundary = right
value = 0
[]
[left]
type = NeumannBC
variable = temp
boundary = left
value = 0
[]
[]
[NodalKernels]
[push_left]
type = NodalGravity
variable = disp_y
boundary = push_left
gravity_value = 0.0 # -1e-8
mass = 1
[]
[push_center]
type = NodalGravity
variable = disp_y
boundary = push_center
gravity_value = 0.0 # -1e-8
mass = 1
[]
[]
[Materials]
[thermal_cond]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${TC0}-${TC1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${TC0}-A1*${rho0}^${power}; TC1:=A1*mat_den^${power}+B1; TC1"
coupled_variables = 'mat_den'
property_name = thermal_cond
outputs = 'exodus'
[]
[thermal_compliance]
type = ThermalCompliance
temperature = temp
thermal_conductivity = thermal_cond
outputs = 'exodus'
[]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${E0}-${E1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${E0}-A1*${rho0}^${power}; E1:=A1*mat_den^${power}+B1; E1"
coupled_variables = 'mat_den'
property_name = E_phys
[]
[Cost_mat]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${C0}-${C1})/(${rho0}^(1/${power})-${rho1}^(1/${power})); "
"B1:=${C0}-A1*${rho0}^(1/${power}); C1:=A1*mat_den^(1/${power})+B1; C1"
coupled_variables = 'mat_den'
property_name = Cost_mat
[]
[CostDensity]
type = ParsedMaterial
property_name = CostDensity
coupled_variables = 'mat_den Cost'
expression = 'mat_den*Cost'
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
[]
[cc]
type = CostSensitivity
design_density = mat_den
cost = Cost_mat
outputs = 'exodus'
[]
[tc]
type = ThermalSensitivity
design_density = mat_den
thermal_conductivity = thermal_cond
temperature = temp
outputs = 'exodus'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 0.1
weights = linear
prop_name = sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[rad_avg_cost]
type = RadialAverage
radius = 0.1
weights = linear
prop_name = cost_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[rad_avg_thermal]
type = RadialAverage
radius = 0.1
weights = linear
prop_name = thermal_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
# Provides Dc
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
# Provides Cc
[calc_sense_cost]
type = SensitivityFilter
density_sensitivity = Cc
design_density = mat_den
filter_UO = rad_avg_cost
execute_on = TIMESTEP_END
force_postaux = true
[]
# Provides Tc
[calc_sense_thermal]
type = SensitivityFilter
density_sensitivity = Tc
design_density = mat_den
filter_UO = rad_avg_thermal
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-12
dt = 1.0
num_steps = 500
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[right_flux]
type = SideDiffusiveFluxAverage
variable = temp
boundary = right
diffusivity = 10
[]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[cost_sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = cost_sensitivity
[]
[cost]
type = ElementIntegralMaterialProperty
mat_prop = CostDensity
[]
[cost_frac]
type = ParsedPostprocessor
expression = 'cost / mesh_volume'
pp_names = 'cost mesh_volume'
[]
[objective]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
[]
[objective_thermal]
type = ElementIntegralMaterialProperty
mat_prop = thermal_compliance
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
(modules/combined/examples/phase_field-mechanics/kks_mechanics_VTS.i)
# KKS phase-field model coupled with elasticity using the Voigt-Taylor scheme as
# described in L.K. Aagesen et al., Computational Materials Science, 140, 10-21 (2017)
# Original run #170329e
[Mesh]
type = GeneratedMesh
dim = 3
nx = 640
ny = 1
nz = 1
xmin = -10
xmax = 10
ymin = 0
ymax = 0.03125
zmin = 0
zmax = 0.03125
elem_type = HEX8
[]
[Variables]
# order parameter
[./eta]
order = FIRST
family = LAGRANGE
[../]
# solute concentration
[./c]
order = FIRST
family = LAGRANGE
[../]
# chemical potential
[./w]
order = FIRST
family = LAGRANGE
[../]
# solute phase concentration (matrix)
[./cm]
order = FIRST
family = LAGRANGE
[../]
# solute phase concentration (precipitate)
[./cp]
order = FIRST
family = LAGRANGE
[../]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[./disp_z]
order = FIRST
family = LAGRANGE
[../]
[]
[ICs]
[./eta_ic]
variable = eta
type = FunctionIC
function = ic_func_eta
block = 0
[../]
[./c_ic]
variable = c
type = FunctionIC
function = ic_func_c
block = 0
[../]
[./w_ic]
variable = w
type = ConstantIC
value = 0.00991
block = 0
[../]
[./cm_ic]
variable = cm
type = ConstantIC
value = 0.131
block = 0
[../]
[./cp_ic]
variable = cp
type = ConstantIC
value = 0.236
block = 0
[../]
[]
[Functions]
[./ic_func_eta]
type = ParsedFunction
expression = '0.5*(1.0+tanh((x)/delta_eta/sqrt(2.0)))'
symbol_names = 'delta_eta'
symbol_values = '0.8034'
[../]
[./ic_func_c]
type = ParsedFunction
expression = '0.2388*(0.5*(1.0+tanh(x/delta/sqrt(2.0))))^3*(6*(0.5*(1.0+tanh(x/delta/sqrt(2.0))))^2-15*(0.5*(1.0+tanh(x/delta/sqrt(2.0))))+10)+0.1338*(1-(0.5*(1.0+tanh(x/delta/sqrt(2.0))))^3*(6*(0.5*(1.0+tanh(x/delta/sqrt(2.0))))^2-15*(0.5*(1.0+tanh(x/delta/sqrt(2.0))))+10))'
symbol_names = 'delta'
symbol_values = '0.8034'
[../]
[./psi_eq_int]
type = ParsedFunction
expression = 'volume*psi_alpha'
symbol_names = 'volume psi_alpha'
symbol_values = 'volume psi_alpha'
[../]
[./gamma]
type = ParsedFunction
expression = '(psi_int - psi_eq_int) / dy / dz'
symbol_names = 'psi_int psi_eq_int dy dz'
symbol_values = 'psi_int psi_eq_int 0.03125 0.03125'
[../]
[]
[AuxVariables]
[./sigma11]
order = CONSTANT
family = MONOMIAL
[../]
[./sigma22]
order = CONSTANT
family = MONOMIAL
[../]
[./sigma33]
order = CONSTANT
family = MONOMIAL
[../]
[./e11]
order = CONSTANT
family = MONOMIAL
[../]
[./e12]
order = CONSTANT
family = MONOMIAL
[../]
[./e22]
order = CONSTANT
family = MONOMIAL
[../]
[./e33]
order = CONSTANT
family = MONOMIAL
[../]
[./e_el11]
order = CONSTANT
family = MONOMIAL
[../]
[./e_el12]
order = CONSTANT
family = MONOMIAL
[../]
[./e_el22]
order = CONSTANT
family = MONOMIAL
[../]
[./f_el]
order = CONSTANT
family = MONOMIAL
[../]
[./eigen_strain00]
order = CONSTANT
family = MONOMIAL
[../]
[./Fglobal]
order = CONSTANT
family = MONOMIAL
[../]
[./psi]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./matl_sigma11]
type = RankTwoAux
rank_two_tensor = stress
index_i = 0
index_j = 0
variable = sigma11
[../]
[./matl_sigma22]
type = RankTwoAux
rank_two_tensor = stress
index_i = 1
index_j = 1
variable = sigma22
[../]
[./matl_sigma33]
type = RankTwoAux
rank_two_tensor = stress
index_i = 2
index_j = 2
variable = sigma33
[../]
[./matl_e11]
type = RankTwoAux
rank_two_tensor = total_strain
index_i = 0
index_j = 0
variable = e11
[../]
[./matl_e12]
type = RankTwoAux
rank_two_tensor = total_strain
index_i = 0
index_j = 1
variable = e12
[../]
[./matl_e22]
type = RankTwoAux
rank_two_tensor = total_strain
index_i = 1
index_j = 1
variable = e22
[../]
[./matl_e33]
type = RankTwoAux
rank_two_tensor = total_strain
index_i = 2
index_j = 2
variable = e33
[../]
[./f_el]
type = MaterialRealAux
variable = f_el
property = f_el_mat
execute_on = timestep_end
[../]
[./GlobalFreeEnergy]
variable = Fglobal
type = KKSGlobalFreeEnergy
fa_name = fm
fb_name = fp
w = 0.0264
kappa_names = kappa
interfacial_vars = eta
[../]
[./psi_potential]
variable = psi
type = ParsedAux
coupled_variables = 'Fglobal w c f_el sigma11 e11'
expression = 'Fglobal - w*c + f_el - sigma11*e11'
[../]
[]
[BCs]
[./left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[../]
[./right_x]
type = DirichletBC
variable = disp_x
boundary = right
value = 0
[../]
[./front_y]
type = DirichletBC
variable = disp_y
boundary = front
value = 0
[../]
[./back_y]
type = DirichletBC
variable = disp_y
boundary = back
value = 0
[../]
[./top_z]
type = DirichletBC
variable = disp_z
boundary = top
value = 0
[../]
[./bottom_z]
type = DirichletBC
variable = disp_z
boundary = bottom
value = 0
[../]
[]
[Materials]
# Chemical free energy of the matrix
[./fm]
type = DerivativeParsedMaterial
property_name = fm
coupled_variables = 'cm'
expression = '6.55*(cm-0.13)^2'
[../]
# Elastic energy of the matrix
[./elastic_free_energy_m]
type = ElasticEnergyMaterial
base_name = matrix
f_name = fe_m
args = ' '
outputs = exodus
[../]
# Total free energy of the matrix
[./Total_energy_matrix]
type = DerivativeSumMaterial
property_name = f_total_matrix
sum_materials = 'fm fe_m'
coupled_variables = 'cm'
[../]
# Free energy of the precipitate phase
[./fp]
type = DerivativeParsedMaterial
property_name = fp
coupled_variables = 'cp'
expression = '6.55*(cp-0.235)^2'
[../]
# Elastic energy of the precipitate
[./elastic_free_energy_p]
type = ElasticEnergyMaterial
base_name = ppt
f_name = fe_p
args = ' '
outputs = exodus
[../]
# Total free energy of the precipitate
[./Total_energy_ppt]
type = DerivativeSumMaterial
property_name = f_total_ppt
sum_materials = 'fp fe_p'
coupled_variables = 'cp'
[../]
# Total elastic energy
[./Total_elastic_energy]
type = DerivativeTwoPhaseMaterial
eta = eta
f_name = f_el_mat
fa_name = fe_m
fb_name = fe_p
outputs = exodus
W = 0
[../]
# h(eta)
[./h_eta]
type = SwitchingFunctionMaterial
h_order = HIGH
eta = eta
[../]
# g(eta)
[./g_eta]
type = BarrierFunctionMaterial
g_order = SIMPLE
eta = eta
[../]
# constant properties
[./constants]
type = GenericConstantMaterial
prop_names = 'M L kappa misfit'
prop_values = '0.7 0.7 0.01704 0.00377'
[../]
#Mechanical properties
[./Stiffness_matrix]
type = ComputeElasticityTensor
C_ijkl = '103.3 74.25 74.25 103.3 74.25 103.3 46.75 46.75 46.75'
base_name = matrix
fill_method = symmetric9
[../]
[./Stiffness_ppt]
type = ComputeElasticityTensor
C_ijkl = '100.7 71.45 71.45 100.7 71.45 100.7 50.10 50.10 50.10'
base_name = ppt
fill_method = symmetric9
[../]
[./stress_matrix]
type = ComputeLinearElasticStress
base_name = matrix
[../]
[./stress_ppt]
type = ComputeLinearElasticStress
base_name = ppt
[../]
[./strain_matrix]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
base_name = matrix
[../]
[./strain_ppt]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
base_name = ppt
eigenstrain_names = 'eigenstrain_ppt'
[../]
[./eigen_strain]
type = ComputeEigenstrain
base_name = ppt
eigen_base = '1 1 1 0 0 0'
prefactor = misfit
eigenstrain_name = 'eigenstrain_ppt'
[../]
[./global_stress]
type = TwoPhaseStressMaterial
base_A = matrix
base_B = ppt
[../]
[./global_strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
# enforce c = (1-h(eta))*cm + h(eta)*cp
[./PhaseConc]
type = KKSPhaseConcentration
ca = cm
variable = cp
c = c
eta = eta
[../]
# enforce pointwise equality of chemical potentials
[./ChemPotVacancies]
type = KKSPhaseChemicalPotential
variable = cm
cb = cp
fa_name = f_total_matrix
fb_name = f_total_ppt
[../]
#
# Cahn-Hilliard Equation
#
[./CHBulk]
type = KKSSplitCHCRes
variable = c
ca = cm
fa_name = f_total_matrix
w = w
[../]
[./dcdt]
type = CoupledTimeDerivative
variable = w
v = c
[../]
[./ckernel]
type = SplitCHWRes
mob_name = M
variable = w
[../]
#
# Allen-Cahn Equation
#
[./ACBulkF]
type = KKSACBulkF
variable = eta
fa_name = f_total_matrix
fb_name = f_total_ppt
w = 0.0264
args = 'cp cm'
[../]
[./ACBulkC]
type = KKSACBulkC
variable = eta
ca = cm
cb = cp
fa_name = f_total_matrix
[../]
[./ACInterface]
type = ACInterface
variable = eta
kappa_name = kappa
[../]
[./detadt]
type = TimeDerivative
variable = eta
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm ilu nonzero'
l_max_its = 30
nl_max_its = 10
l_tol = 1.0e-4
nl_rel_tol = 1.0e-8
nl_abs_tol = 1.0e-11
num_steps = 200
[./TimeStepper]
type = SolutionTimeAdaptiveDT
dt = 0.5
[../]
[]
[VectorPostprocessors]
#[./eta]
# type = LineValueSampler
# start_point = '-10 0 0'
# end_point = '10 0 0'
# variable = eta
# num_points = 321
# sort_by = id
#[../]
#[./eta_position]
# type = FindValueOnLineSample
# vectorpostprocessor = eta
# variable_name = eta
# search_value = 0.5
#[../]
# [./f_el]
# type = LineMaterialRealSampler
# start = '-20 0 0'
# end = '20 0 0'
# sort_by = id
# property = f_el
# [../]
# [./f_el_a]
# type = LineMaterialRealSampler
# start = '-20 0 0'
# end = '20 0 0'
# sort_by = id
# property = fe_m
# [../]
# [./f_el_b]
# type = LineMaterialRealSampler
# start = '-20 0 0'
# end = '20 0 0'
# sort_by = id
# property = fe_p
# [../]
# [./h_out]
# type = LineMaterialRealSampler
# start = '-20 0 0'
# end = '20 0 0'
# sort_by = id
# property = h
# [../]
# [./fm_out]
# type = LineMaterialRealSampler
# start = '-20 0 0'
# end = '20 0 0'
# sort_by = id
# property = fm
# [../]
[]
[Postprocessors]
[./f_el_int]
type = ElementIntegralMaterialProperty
mat_prop = f_el_mat
[../]
[./c_alpha]
type = SideAverageValue
boundary = left
variable = c
[../]
[./c_beta]
type = SideAverageValue
boundary = right
variable = c
[../]
[./e11_alpha]
type = SideAverageValue
boundary = left
variable = e11
[../]
[./e11_beta]
type = SideAverageValue
boundary = right
variable = e11
[../]
[./s11_alpha]
type = SideAverageValue
boundary = left
variable = sigma11
[../]
[./s22_alpha]
type = SideAverageValue
boundary = left
variable = sigma22
[../]
[./s33_alpha]
type = SideAverageValue
boundary = left
variable = sigma33
[../]
[./s11_beta]
type = SideAverageValue
boundary = right
variable = sigma11
[../]
[./s22_beta]
type = SideAverageValue
boundary = right
variable = sigma22
[../]
[./s33_beta]
type = SideAverageValue
boundary = right
variable = sigma33
[../]
[./f_el_alpha]
type = SideAverageValue
boundary = left
variable = f_el
[../]
[./f_el_beta]
type = SideAverageValue
boundary = right
variable = f_el
[../]
[./f_c_alpha]
type = SideAverageValue
boundary = left
variable = Fglobal
[../]
[./f_c_beta]
type = SideAverageValue
boundary = right
variable = Fglobal
[../]
[./chem_pot_alpha]
type = SideAverageValue
boundary = left
variable = w
[../]
[./chem_pot_beta]
type = SideAverageValue
boundary = right
variable = w
[../]
[./psi_alpha]
type = SideAverageValue
boundary = left
variable = psi
[../]
[./psi_beta]
type = SideAverageValue
boundary = right
variable = psi
[../]
[./total_energy]
type = ElementIntegralVariablePostprocessor
variable = Fglobal
[../]
# Get simulation cell size from postprocessor
[./volume]
type = ElementIntegralMaterialProperty
mat_prop = 1
[../]
[./psi_eq_int]
type = FunctionValuePostprocessor
function = psi_eq_int
[../]
[./psi_int]
type = ElementIntegralVariablePostprocessor
variable = psi
[../]
[./gamma]
type = FunctionValuePostprocessor
function = gamma
[../]
[]
#
# Precondition using handcoded off-diagonal terms
#
[Preconditioning]
[./full]
type = SMP
full = true
[../]
[]
[Outputs]
[./exodus]
type = Exodus
time_step_interval = 20
[../]
[./csv]
type = CSV
execute_on = 'final'
[../]
#[./console]
# type = Console
# output_file = true
# [../]
[]
(modules/combined/examples/optimization/multi-load/square_subapp_one.i)
power = 1.0
E0 = 1.0
Emin = 1.0e-6
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[Bottom]
type = GeneratedMeshGenerator
dim = 2
nx = 100
ny = 100
xmin = 0
xmax = 150
ymin = 0
ymax = 150
[]
[left_load]
type = ExtraNodesetGenerator
input = Bottom
new_boundary = left_load
coord = '0 150 0'
[]
[right_load]
type = ExtraNodesetGenerator
input = left_load
new_boundary = right_load
coord = '150 150 0'
[]
[left_support]
type = ExtraNodesetGenerator
input = right_load
new_boundary = left_support
coord = '0 0 0'
[]
[right_support]
type = ExtraNodesetGenerator
input = left_support
new_boundary = right_support
coord = '150 0 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = SECOND
initial_condition = -1.0
[]
[Cc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = 0.25
[]
[sensitivity_var]
family = MONOMIAL
order = SECOND
initial_condition = -1.0
[]
[]
[AuxKernels]
[sensitivity_kernel]
type = MaterialRealAux
property = sensitivity
variable = sensitivity_var
check_boundary_restricted = false
execute_on = 'TIMESTEP_END'
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = left_support
value = 0.0
[]
[no_x]
type = DirichletBC
variable = disp_x
boundary = left_support
value = 0.0
[]
[no_y_right]
type = DirichletBC
variable = disp_y
boundary = right_support
value = 0.0
[]
[no_x_right]
type = DirichletBC
variable = disp_x
boundary = right_support
value = 0.0
[]
[]
[NodalKernels]
[push_left]
type = NodalGravity
variable = disp_y
boundary = left_load
gravity_value = -1e-3
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
# We do averaging in subapps
[rad_avg]
type = RadialAverage
radius = 8
weights = linear
prop_name = sensitivity
force_preaux = true
execute_on = 'TIMESTEP_END'
[]
# Provides Dc
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
force_postaux = true
execute_on = 'TIMESTEP_END'
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-10
dt = 1.0
num_steps = 10
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
execute_on = 'TIMESTEP_BEGIN TIMESTEP_END NONLINEAR'
[]
[objective]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
(modules/combined/test/tests/optimization/compliance_sensitivity/3d_mbb.i)
vol_frac = 0.5
E0 = 1
Emin = 1e-8
power = 3
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 3
nx = 30
ny = 10
nz = 10
xmin = 0
xmax = 30
ymin = 0
ymax = 10
zmin = 0
zmax = 10
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold_y
coord = '0 0 0; 0 0 10'
[]
[push]
type = ExtraNodesetGenerator
input = node
new_boundary = push
coord = '30 10 5'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[Dc]
initial_condition = -1.0
[]
[]
[AuxVariables]
[sensitivity]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[AuxKernel]
type = MaterialRealAux
variable = sensitivity
property = sensitivity
execute_on = LINEAR
[]
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[Dc_elem]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[AuxKernel]
type = SelfAux
variable = Dc_elem
v = Dc
execute_on = 'TIMESTEP_END'
[]
[]
[mat_den_nodal]
family = L2_LAGRANGE
order = FIRST
initial_condition = ${vol_frac}
[AuxKernel]
type = SelfAux
execute_on = TIMESTEP_END
variable = mat_den_nodal
v = mat_den
[]
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[Kernels]
[diffusion]
type = FunctionDiffusion
variable = Dc
function = 0.15 # radius coeff
[]
[potential]
type = Reaction
variable = Dc
[]
[source]
type = CoupledForce
variable = Dc
v = sensitivity
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_y
boundary = hold_y
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[boundary_penalty]
type = ADRobinBC
variable = Dc
boundary = 'left top front back'
coefficient = 10
[]
[boundary_penalty_right]
type = ADRobinBC
variable = Dc
boundary = 'right'
coefficient = 10
[]
[]
[NodalKernels]
[push]
type = NodalGravity
variable = disp_y
boundary = push
gravity_value = -1
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
incremental = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[update]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = none
nl_abs_tol = 1e-4
l_max_its = 200
start_time = 0.0
dt = 1.0
num_steps = 2
[]
[Outputs]
[out]
type = CSV
execute_on = 'INITIAL TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[]
[Controls]
[first_period]
type = TimePeriod
start_time = 0.0
end_time = 10
enable_objects = 'BCs::boundary_penalty_right'
execute_on = 'initial timestep_begin'
[]
[]
(modules/porous_flow/test/tests/fluids/simple_fluid_yr.i)
# Test the properties calculated by the simple fluid Material
# Time unit is chosen to be years
# Pressure 10 MPa
# Temperature = 300 K (temperature unit = K)
# Density should equal 1500*exp(1E7/1E9-2E-4*300)=1426.844 kg/m^3
# Viscosity should equal 3.49E-11 Pa.yr
# Energy density should equal 4000 * 300 = 1.2E6 J/kg
# Specific enthalpy should equal 4000 * 300 + 10e6 / 1426.844 = 1.207008E6 J/kg
[FluidProperties]
[the_simple_fluid]
type = SimpleFluidProperties
thermal_expansion = 2.0E-4
cv = 4000.0
cp = 5000.0
bulk_modulus = 1.0E9
thermal_conductivity = 1.0
viscosity = 1.1E-3
density0 = 1500.0
[]
[]
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp T'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[pp]
initial_condition = 10E6
[]
[T]
initial_condition = 300.0
[]
[]
[Kernels]
[dummy_p]
type = Diffusion
variable = pp
[]
[dummy_T]
type = Diffusion
variable = T
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = T
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
temperature_unit = Kelvin
time_unit = years
fp = the_simple_fluid
phase = 0
[]
[]
[Postprocessors]
[pressure]
type = ElementIntegralVariablePostprocessor
variable = pp
[]
[temperature]
type = ElementIntegralVariablePostprocessor
variable = T
[]
[density]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_density_qp0'
[]
[viscosity]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_viscosity_qp0'
[]
[internal_energy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_internal_energy_qp0'
[]
[enthalpy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_enthalpy_qp0'
[]
[]
[Executioner]
type = Steady
solve_type = Newton
[]
[Outputs]
execute_on = 'timestep_end'
csv = true
[]
(modules/solid_mechanics/test/tests/uel/small.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
xmax = 10
ymax = 3
elem_type = TRI3
[]
[pin]
type = ExtraNodesetGenerator
nodes = 106
new_boundary = pin
input = gen
[]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[BCs]
[left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[]
[left_y]
type = DirichletBC
variable = disp_y
boundary = pin
value = 0
[]
inactive = 'right_dirichlet'
[right_neumann]
type = FunctionNeumannBC
variable = disp_x
function = t
boundary = right
[]
[right_dirichlet]
type = FunctionDirichletBC
variable = disp_x
function = t/10
boundary = right
[]
[]
[UserObjects]
[uel]
type = AbaqusUserElement
variables = 'disp_x disp_y'
plugin = ../../plugins/small_strain_tri_uel
use_displaced_mesh = false
num_state_vars = 8
constant_properties = '100 0.3' # E nu
extra_vector_tags = 'kernel_residual'
[]
[]
[Problem]
kernel_coverage_check = false
extra_tag_vectors = 'kernel_residual'
[]
[AuxVariables]
[res_x]
[]
[res_y]
[]
[]
[AuxKernels]
[res_x]
type = TagVectorAux
variable = res_x
v = disp_x
vector_tag = kernel_residual
[]
[res_y]
type = TagVectorAux
variable = res_y
v = disp_y
vector_tag = kernel_residual
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
dt = 1
num_steps = 15
[]
[Postprocessors]
[delta_l]
type = SideAverageValue
variable = disp_x
boundary = right
execute_on = 'INITIAL TIMESTEP_END'
[]
[V]
type = ElementIntegralMaterialProperty
mat_prop = 1
use_displaced_mesh = true
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Outputs]
exodus = true
csv = true
[]
(modules/solid_mechanics/test/tests/uel/small_test_uel_states_fields.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
# nx = 10
# ny = 3
xmax = 10
ymax = 3
elem_type = TRI3
[]
[pin]
type = ExtraNodesetGenerator
nodes = 106
new_boundary = pin
input = gen
[]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[temperature]
initial_condition = 1500
[]
[voltage]
initial_condition = 210
[]
[]
[AuxKernels]
[temperature]
type = FunctionAux
function = temperature_function
variable = temperature
[]
[voltage]
type = FunctionAux
function = voltage_function
variable = voltage
[]
[]
[Functions]
[voltage_function]
type = PiecewiseLinear
x = '0 15'
y = '210 450'
[]
[temperature_function]
type = PiecewiseLinear
x = '0 15'
y = '1500 800'
[]
[]
[BCs]
[left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[]
[left_y]
type = DirichletBC
variable = disp_y
boundary = pin
value = 0
[]
inactive = 'right_dirichlet'
# inactive = 'right_neumann'
[right_neumann]
type = FunctionNeumannBC
variable = disp_x
function = t
boundary = right
[]
[right_dirichlet]
type = FunctionDirichletBC
variable = disp_x
function = t/10
boundary = right
[]
[]
[UserObjects]
[uel]
type = AbaqusUserElement
variables = 'disp_x disp_y'
plugin = ../../../examples/uel_tri_states_tests/uel
use_displaced_mesh = false
num_state_vars = 8
constant_properties = '100 0.3' # E nu
external_fields = 'temperature voltage'
extra_vector_tags = 'kernel_residual'
[]
[]
[Problem]
kernel_coverage_check = false
extra_tag_vectors = 'kernel_residual'
[]
[AuxVariables]
[res_x]
[]
[res_y]
[]
[]
[AuxKernels]
[res_x]
type = TagVectorAux
variable = res_x
v = disp_x
vector_tag = kernel_residual
[]
[res_y]
type = TagVectorAux
variable = res_y
v = disp_y
vector_tag = kernel_residual
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
dt = 1
num_steps = 15
[]
[Postprocessors]
[delta_l]
type = SideAverageValue
variable = disp_x
boundary = right
execute_on = 'INITIAL TIMESTEP_END'
[]
[V]
type = ElementIntegralMaterialProperty
mat_prop = 1
use_displaced_mesh = true
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Outputs]
exodus = true
csv = true
[]
(modules/combined/examples/optimization/helmholtz_multimat_strip.i)
vol_frac = 0.35
power = 1.1
Emin = 1.0e-6
Ess = 0.475 # ss
Et = 1.0 # w
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
# final_generator = 'MoveRight'
[Bottom]
type = GeneratedMeshGenerator
dim = 2
nx = 320
ny = 30
xmin = 0
xmax = 150
ymin = 0
ymax = 15
[]
[RenameBottom]
type = RenameBoundaryGenerator
input = Bottom
old_boundary = 'top bottom right left'
new_boundary = 'top_bottom bottom_bottom right_bottom left_bottom'
[]
[Middle]
type = GeneratedMeshGenerator
dim = 2
nx = 320
ny = 6
xmin = 0
xmax = 150
ymin = 0
ymax = 3
[]
[MoveMiddle]
type = TransformGenerator
input = Middle
transform = TRANSLATE
vector_value = '0 15 0'
[]
[RenameMiddle]
type = RenameBoundaryGenerator
input = MoveMiddle
old_boundary = 'top bottom right left'
new_boundary = 'top_middle bottom_middle right_middle left_middle'
[]
[Top]
type = GeneratedMeshGenerator
dim = 2
nx = 320
ny = 30
xmin = 0
xmax = 150
ymin = 0
ymax = 15
[]
[MoveTop]
type = TransformGenerator
input = Top
transform = TRANSLATE
vector_value = '0 18 0'
[]
[RenameTop]
type = RenameBoundaryGenerator
input = MoveTop
old_boundary = 'top bottom right left'
new_boundary = 'top_top bottom_top right_top left_top'
[]
[bottom_gen]
type = ParsedSubdomainMeshGenerator
input = RenameBottom
combinatorial_geometry = 'y <= 15'
block_id = 1
[]
[middle_gen]
type = ParsedSubdomainMeshGenerator
input = RenameMiddle
combinatorial_geometry = 'y <= 18 & y > 15'
block_id = 2
[]
[top_gen]
type = ParsedSubdomainMeshGenerator
input = RenameTop
combinatorial_geometry = 'y > 18'
block_id = 3
[]
[stitch]
type = StitchedMeshGenerator
inputs = 'bottom_gen middle_gen top_gen'
stitch_boundaries_pairs = 'top_bottom bottom_middle; top_middle bottom_top'
[]
[left_load]
type = ExtraNodesetGenerator
input = stitch
new_boundary = left_load
coord = '37.5 33 0'
[]
[right_load]
type = ExtraNodesetGenerator
input = left_load
new_boundary = right_load
coord = '112.5 33 0'
[]
[left_support]
type = ExtraNodesetGenerator
input = right_load
new_boundary = left_support
coord = '0 0 0'
[]
[right_support]
type = ExtraNodesetGenerator
input = left_support
new_boundary = right_support
coord = '150 0 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[Dc]
initial_condition = -1.0
[]
[]
[AuxVariables]
[Cc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[sensitivity]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[AuxKernel]
type = MaterialRealAux
variable = sensitivity
property = sensitivity
execute_on = LINEAR
[]
block = '1 2 3'
[]
[mat_den_nodal]
family = L2_LAGRANGE
order = FIRST
initial_condition = ${vol_frac}
[AuxKernel]
type = SelfAux
execute_on = TIMESTEP_END
variable = mat_den_nodal
v = mat_den
[]
[]
[Dc_elem]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[AuxKernel]
type = SelfAux
variable = Dc_elem
v = Dc
execute_on = 'TIMESTEP_END'
[]
[]
[]
[Kernels]
[diffusion]
type = FunctionDiffusion
variable = Dc
function = 4.0
[]
[potential]
type = Reaction
variable = Dc
[]
[source]
type = CoupledForce
variable = Dc
v = sensitivity
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = left_support
value = 0.0
[]
[no_x]
type = DirichletBC
variable = disp_x
boundary = left_support
value = 0.0
[]
[no_y_right]
type = DirichletBC
variable = disp_y
boundary = right_support
value = 0.0
[]
[boundary_penalty]
type = ADRobinBC
variable = Dc
boundary = 'bottom_bottom right_bottom left_bottom top_top right_top left_top left_middle '
'right_middle'
coefficient = 10
[]
[]
[NodalKernels]
[left_down]
type = NodalGravity
variable = disp_y
boundary = left_load
gravity_value = -1e-3
mass = 1
[]
[right_down]
type = NodalGravity
variable = disp_y
boundary = right_load
gravity_value = -1e-3
mass = 1
[]
[]
[Materials]
[sensitivity]
type = ParsedMaterial
property_name = 'sensitivity'
block = '2'
expression = '0'
[]
[elasticity_tensor_one]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys_one
poissons_ratio = poissons_ratio
args = 'mat_den'
block = '1'
[]
[elasticity_tensor_three]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys_three
poissons_ratio = poissons_ratio
args = 'mat_den'
block = '3'
[]
[elasticity_tensor_two]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.0
poissons_ratio = 0.3
block = '2'
[]
# One: Tungsten
[E_phys_one]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${Et}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys_one
block = '1'
outputs = 'exodus'
[]
# Three: SS316
[E_phys_three]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${Ess}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys_three
block = '3'
outputs = 'exodus'
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc_one]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys_one
block = '1'
[]
[dc_three]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys_three
block = '3'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[update_one]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
block = '1'
[]
[update_three]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
block = '3'
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-10
dt = 1.0
num_steps = 90
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
block = '1 3'
[]
[objective_one]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
block = '1'
[]
[objective_three]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
block = '3'
[]
[]
(test/tests/materials/active_material_props/check_active_props.i)
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 2
subdomain_ids = '0 1 2 3'
[]
[]
[Problem]
type = CheckActiveMatPropProblem
[]
[Variables]
[u]
[]
[v]
[]
[]
[Kernels]
[diff1]
type = DiffMKernel
variable = u
mat_prop = diff1
[]
[diff2]
type = DiffMKernel
variable = v
mat_prop = diff2
[]
[]
[BCs]
[left_u]
type = MTBC
variable = u
boundary = 3
grad = 4
prop_name = c1
[]
[right_u]
type = DirichletBC
variable = u
boundary = 1
value = 1
[]
[left_v]
type = DirichletBC
variable = v
boundary = 3
value = 1
[]
[right_v]
type = DirichletBC
variable = v
boundary = 1
value = 0
[]
[]
[Materials]
# There are total five material properties 'diff1', 'diff2', 'r1', 'r2', 'c1' get evaluated in the following loops:
# E1 - NonlinearSystemBase::computeResidualTags
# E2 - NonlinearSystemBase::computeJacobianTags
# E3 - AuxiliarySystem::compute(linear)
# E4 - AuxiliarySystem::compute(timestep_end)
# E5 - FEProblemBase::computeUserObjects(timestep_end)
#
# Following tables show when and where (blocks or boundaries) the material properties are active.
#
# diff1 (by kernel 'diff1' and BC 'left_u'):
# | E1 E2 E3 E4 E5
# -------------------
# 0 | x x
# 1 | x x
# 2 | x x
# 3 | x x
# b3 | x x
#
# diff2 (by kernel 'diff2' and BC 'left_u'):
# | E1 E2 E3 E4 E5
# -------------------
# 0 | x x
# 1 | x x
# 2 | x x
# 3 | x x
# b3 | x x
#
# r1 (by auxkernel 'r1' and postprocessor 'r1'):
# | E1 E2 E3 E4 E5
# -------------------
# 0 | x
# 1 | x x
# 2 |
# 3 |
# b3 |
#
# r2 (by auxkernel 'r2' and postprocessor 'r2'):
# | E1 E2 E3 E4 E5
# -------------------
# 0 |
# 1 | x
# 2 | x x
# 3 |
# b3 |
#
# c1 (by BC 'left_u'):
# | E1 E2 E3 E4 E5
# -------------------
# 0 |
# 1 |
# 2 |
# 3 |
# b3 | x x
#
[dm]
type = ActiveGenericConstantMaterial
prop_names = 'diff1 diff2 r1 r2'
prop_values = '2 3 4 5'
[]
[bnd]
type = ActiveGenericConstantMaterial
boundary = 3
prop_names = 'c1'
prop_values = '2'
[]
[]
[AuxVariables]
[r1_linear]
family = MONOMIAL
order = CONSTANT
[]
[r2_linear]
family = MONOMIAL
order = CONSTANT
[]
[r1_timestep_end]
family = MONOMIAL
order = CONSTANT
[]
[r2_timestep_end]
family = MONOMIAL
order = CONSTANT
[]
[r1]
family = MONOMIAL
order = CONSTANT
[]
[r2]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[r1_linear]
type = CheckActiveMatProp
variable = r1_linear
execute_on = linear
prop_name = r1
[]
[r1_timestep_end]
type = CheckActiveMatProp
variable = r1_timestep_end
execute_on = timestep_end
prop_name = r1
[]
[r2_linear]
type = CheckActiveMatProp
variable = r2_linear
execute_on = linear
prop_name = r2
[]
[r2_timestep_end]
type = CheckActiveMatProp
variable = r2_timestep_end
execute_on = timestep_end
prop_name = r2
[]
[r1]
type = MaterialRealAux
variable = r1
block = '0 1'
property = r1
execute_on = 'linear'
[]
[r2]
type = MaterialRealAux
variable = r2
block = '1 2'
property = r2
execute_on = 'timestep_end'
[]
[]
[Postprocessors]
[r1]
type = ElementIntegralMaterialProperty
block = 1
mat_prop = r1
[]
[r2]
type = ElementIntegralMaterialProperty
block = 2
mat_prop = r2
[]
[]
[Executioner]
type = Steady
[]
[Outputs]
exodus = true
[]
(modules/phase_field/test/tests/electrochem_sintering/ElectrochemicalSintering_test.i)
[Mesh]
type = GeneratedMesh
dim = 1
nx = 800
xmin = 0
xmax = 80
[]
[GlobalParams]
op_num = 2
var_name_base = gr
int_width = 4
[]
[Variables]
[wvy]
[]
[wvo]
[]
[phi]
[]
[PolycrystalVariables]
[]
[V]
[]
[]
[AuxVariables]
[bnds]
[]
[negative_V]
[]
[E_x]
order = CONSTANT
family = MONOMIAL
[]
[E_y]
order = CONSTANT
family = MONOMIAL
[]
[ns_cat_aux]
order = CONSTANT
family = MONOMIAL
[]
[ns_an_aux]
order = CONSTANT
family = MONOMIAL
[]
[T]
[]
[]
[Functions]
[ic_func_gr0]
type = ParsedFunction
expression = '0.5*(1.0-tanh((x)/sqrt(2.0*2.0)))'
[]
[ic_func_gr1]
type = ParsedFunction
expression = '0.5*(1.0+tanh((x)/sqrt(2.0*2.0)))'
[]
[]
[ICs]
[gr0_IC]
type = FunctionIC
variable = gr0
function = ic_func_gr0
[]
[gr1_IC]
type = FunctionIC
variable = gr1
function = ic_func_gr1
[]
[wvy_IC]
type = ConstantIC
variable = wvy
value = 2.7827
[]
[wvo_IC]
type = ConstantIC
variable = wvo
value = 2.7827
[]
[T_IC]
type = ConstantIC
variable = T
value = 1600
[]
[]
[BCs]
[v_left]
type = DirichletBC
preset = true
variable = V
boundary = left
value = 1e-2
[]
[v_right]
type = DirichletBC
preset = true
variable = V
boundary = right
value = 0
[]
[gr0_left]
type = DirichletBC
preset = true
variable = gr0
boundary = left
value = 0.5 #Grain boundary at left hand side of domain
[]
[gr1_left]
type = DirichletBC
preset = true
variable = gr1
boundary = left
value = 0.5 #Grain boundary at left hand side of domain
[]
[wvo_right]
type = DirichletBC
preset = true
variable = wvo
boundary = right
value = 2.7827
[]
[wvy_right]
type = DirichletBC
preset = true
variable = wvy
boundary = right
value = 2.7827
[]
[]
[Materials]
# Free energy coefficients for parabolic curves
[ks_cat]
type = ParsedMaterial
property_name = ks_cat
coupled_variables = 'T'
constant_names = 'a b Va'
constant_expressions = '-0.0017 140.44 0.03726'
expression = '(a*T + b) * Va^2'
[]
[ks_an]
type = ParsedMaterial
property_name = ks_an
coupled_variables = 'T'
constant_names = 'a b Va'
constant_expressions = '-0.0017 140.44 0.03726'
expression = '(a*T + b) * Va^2'
[]
[kv_cat]
type = ParsedMaterial
property_name = kv_cat
material_property_names = 'ks_cat'
expression = '10*ks_cat'
[]
[kv_an]
type = ParsedMaterial
property_name = kv_an
material_property_names = 'ks_cat'
expression = '10*ks_cat'
[]
# Diffusivity and mobilities
[chiDy]
type = GrandPotentialTensorMaterial
f_name = chiDy
diffusivity_name = Dvy
solid_mobility = L
void_mobility = Lv
chi = chi_cat
surface_energy = 6.24
c = phi
T = T
D0 = 5.9e11
GBmob0 = 1.60e12
Q = 4.14
Em = 4.25
bulkindex = 1
gbindex = 1
surfindex = 1
[]
[chiDo]
type = GrandPotentialTensorMaterial
f_name = chiDo
diffusivity_name = Dvo
solid_mobility = Lo
void_mobility = Lvo
chi = chi_an
surface_energy = 6.24
c = phi
T = T
D0 = 5.9e11
GBmob0 = 1.60e12
Q = 4.14
Em = 4.25
bulkindex = 1
gbindex = 1
surfindex = 1
[]
# Everything else
[ns_y_min]
type = DerivativeParsedMaterial
property_name = ns_y_min
coupled_variables = 'gr0 gr1 T'
constant_names = 'Ef_B Ef_GB kB Va_Y'
constant_expressions = '4.37 4.37 8.617343e-5 0.03726'
derivative_order = 2
expression = 'bnds:=gr0^2 + gr1^2; Ef:=Ef_B + 4.0 * (Ef_GB - Ef_B) * (1.0 - bnds)^2;
'
' exp(-Ef/kB/T) / Va_Y'
[]
[ns_o_min]
type = DerivativeParsedMaterial
property_name = ns_o_min
coupled_variables = 'gr0 gr1 T'
constant_names = 'Ef_B Ef_GB kB Va_O'
constant_expressions = '4.37 4.37 8.617343e-5 0.02484'
derivative_order = 2
expression = 'bnds:=gr0^2 + gr1^2; Ef:=Ef_B + 4.0 * (Ef_GB - Ef_B) * (1.0 - bnds)^2;
'
' exp(-Ef/kB/T) / Va_O'
[]
[sintering]
type = ElectrochemicalSinteringMaterial
chemical_potentials = 'wvy wvo'
electric_potential = V
void_op = phi
Temperature = T
surface_energy = 6.24
grainboundary_energy = 5.18
solid_energy_coefficients = 'kv_cat kv_cat'
void_energy_coefficients = 'kv_cat kv_an'
min_vacancy_concentrations_solid = 'ns_y_min ns_o_min'
min_vacancy_concentrations_void = '26.837 40.256'
defect_charges = '-3 2'
solid_relative_permittivity = 30
solid_energy_model = DILUTE
[]
[density_chi_y]
type = ElectrochemicalDefectMaterial
chemical_potential = wvy
void_op = phi
Temperature = T
electric_potential = V
void_density_name = nv_cat
solid_density_name = ns_cat
chi_name = chi_cat
void_energy_coefficient = kv_cat
min_vacancy_concentration_solid = ns_y_min
min_vacancy_concentration_void = 26.837
solid_energy_model = DILUTE
defect_charge = -3
solid_relative_permittivity = 30
[]
[density_chi_o]
type = ElectrochemicalDefectMaterial
chemical_potential = wvo
void_op = phi
Temperature = T
electric_potential = V
void_density_name = nv_an
solid_density_name = ns_an
chi_name = chi_an
void_energy_coefficient = kv_an
min_vacancy_concentration_solid = ns_o_min
min_vacancy_concentration_void = 40.256
solid_energy_model = DILUTE
defect_charge = 2
solid_relative_permittivity = 30
[]
[permittivity]
type = DerivativeParsedMaterial
property_name = permittivity
coupled_variables = 'phi'
material_property_names = 'hs hv'
constant_names = 'eps_rel_solid eps_void_over_e'
constant_expressions = '30 5.52e-2' #eps_void_over_e in 1/V/nm
derivative_order = 2
expression = '-hs * eps_rel_solid * eps_void_over_e - hv * eps_void_over_e'
[]
[void_pre]
type = DerivativeParsedMaterial
property_name = void_pre
material_property_names = 'hv'
constant_names = 'Z_cat Z_an nv_y_min nv_o_min'
constant_expressions = '-3 2 26.837 40.256'
derivative_order = 2
expression = '-hv * (Z_cat * nv_y_min + Z_an * nv_o_min)'
[]
[cat_mu_pre]
type = DerivativeParsedMaterial
property_name = cat_mu_pre
material_property_names = 'hv kv_cat'
constant_names = 'Z_cat'
constant_expressions = '-3'
derivative_order = 2
expression = '-hv * Z_cat / kv_cat'
[]
[an_mu_pre]
type = DerivativeParsedMaterial
property_name = an_mu_pre
material_property_names = 'hv kv_an'
constant_names = 'Z_an'
constant_expressions = '2'
derivative_order = 2
expression = '-hv * Z_an / kv_an'
[]
[cat_V_pre]
type = DerivativeParsedMaterial
property_name = cat_V_pre
material_property_names = 'hv kv_cat'
constant_names = 'Z_cat v_scale e '
constant_expressions = '-3 1 1'
derivative_order = 2
expression = 'hv * Z_cat^2 * e * v_scale / kv_cat'
[]
[an_V_pre]
type = DerivativeParsedMaterial
property_name = an_V_pre
material_property_names = 'hv kv_an'
constant_names = 'Z_an v_scale e '
constant_expressions = '2 1 1'
derivative_order = 2
expression = 'hv * Z_an^2 * e * v_scale / kv_an'
[]
[]
#This action adds most kernels needed for grand potential model
[Modules]
[PhaseField]
[GrandPotential]
switching_function_names = 'hv hs'
anisotropic = 'true true'
chemical_potentials = 'wvy wvo'
mobilities = 'chiDy chiDo'
susceptibilities = 'chi_cat chi_an'
free_energies_w = 'nv_cat ns_cat nv_an ns_an'
gamma_gr = gamma
mobility_name_gr = L
kappa_gr = kappa
free_energies_gr = 'omegav omegas'
additional_ops = 'phi'
gamma_grxop = gamma
mobility_name_op = Lv
kappa_op = kappa
free_energies_op = 'omegav omegas'
[]
[]
[]
[Kernels]
[barrier_phi]
type = ACBarrierFunction
variable = phi
v = 'gr0 gr1'
gamma = gamma
mob_name = Lv
[]
[kappa_phi]
type = ACKappaFunction
variable = phi
mob_name = Lv
kappa_name = kappa
[]
[Laplace]
type = MatDiffusion
variable = V
diffusivity = permittivity
args = 'phi'
[]
[potential_void_constants]
type = MaskedBodyForce
variable = V
coupled_variables = 'phi'
mask = void_pre
[]
[potential_cat_mu]
type = MatReaction
variable = V
v = wvy
mob_name = cat_mu_pre
[]
[potential_an_mu]
type = MatReaction
variable = V
v = wvo
mob_name = an_mu_pre
[]
[potential_cat_V]
type = MatReaction
variable = V
mob_name = cat_V_pre
[]
[potential_an_V]
type = MatReaction
variable = V
mob_name = an_V_pre
[]
[potential_solid_cat]
type = MaskedExponential
variable = V
w = wvy
T = T
coupled_variables = 'phi gr0 gr1'
mask = hs
species_charge = -3
n_eq = ns_y_min
[]
[potential_solid_an]
type = MaskedExponential
variable = V
w = wvo
T = T
coupled_variables = 'phi gr0 gr1'
mask = hs
species_charge = 2
n_eq = ns_o_min
[]
[]
[AuxKernels]
[bnds_aux]
type = BndsCalcAux
variable = bnds
execute_on = 'initial timestep_end'
[]
[negative_V]
type = ParsedAux
variable = negative_V
coupled_variables = V
expression = '-V'
[]
[E_x]
type = VariableGradientComponent
variable = E_x
gradient_variable = negative_V
component = x
[]
[E_y]
type = VariableGradientComponent
variable = E_y
gradient_variable = negative_V
component = y
[]
[ns_cat_aux]
type = MaterialRealAux
variable = ns_cat_aux
property = ns_cat
[]
[ns_an_aux]
type = MaterialRealAux
variable = ns_an_aux
property = ns_an
[]
[]
[Postprocessors]
[ns_cat_total]
type = ElementIntegralMaterialProperty
mat_prop = ns_cat
[]
[ns_an_total]
type = ElementIntegralMaterialProperty
mat_prop = ns_an
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
scheme = bdf2
solve_type = PJFNK
petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap -ksp_gmres_restart -sub_ksp_type'
petsc_options_value = ' asm lu 1 31 preonly'
nl_max_its = 40
l_max_its = 30
l_tol = 1e-4
nl_rel_tol = 1e-8
nl_abs_tol = 1e-13
start_time = 0
num_steps = 2
automatic_scaling = true
[TimeStepper]
type = IterationAdaptiveDT
dt = 1
optimal_iterations = 8
iteration_window = 2
[]
[]
[Outputs]
exodus = true
[]
(modules/porous_flow/test/tests/fluids/simple_fluid_MPa.i)
# Test the properties calculated by the simple fluid Material
# Pressure unit is chosen to be MPa
# Pressure 10 MPa
# Temperature = 300 K (temperature unit = K)
# Density should equal 1500*exp(1E7/1E9-2E-4*300)=1426.844 kg/m^3
# Viscosity should equal 1.1E-9 MPa.s
# Energy density should equal 4000 * 300 = 1.2E6 J/kg
# Specific enthalpy should equal 4000 * 300 + 10e6 / 1426.844 = 1.207008E6 J/kg
[FluidProperties]
[the_simple_fluid]
type = SimpleFluidProperties
thermal_expansion = 2.0E-4
cv = 4000.0
cp = 5000.0
bulk_modulus = 1.0E9
thermal_conductivity = 1.0
viscosity = 1.1E-3
density0 = 1500.0
[]
[]
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp T'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[pp]
initial_condition = 10
[]
[T]
initial_condition = 300.0
[]
[]
[Kernels]
[dummy_p]
type = Diffusion
variable = pp
[]
[dummy_T]
type = Diffusion
variable = T
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = T
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
temperature_unit = Kelvin
pressure_unit = MPa
fp = the_simple_fluid
phase = 0
[]
[]
[Postprocessors]
[pressure]
type = ElementIntegralVariablePostprocessor
variable = pp
[]
[temperature]
type = ElementIntegralVariablePostprocessor
variable = T
[]
[density]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_density_qp0'
[]
[viscosity]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_viscosity_qp0'
[]
[internal_energy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_internal_energy_qp0'
[]
[enthalpy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_enthalpy_qp0'
[]
[]
[Executioner]
type = Steady
solve_type = Newton
[]
[Outputs]
execute_on = 'timestep_end'
csv = true
[]
(modules/solid_mechanics/test/tests/capped_mohr_coulomb/random3.i)
# Using CappedMohrCoulomb with Mohr-Coulomb failure only
# Plasticity models:
# Cohesion = 1MPa
# Friction angle = dilation angle = 0.5
#
# Lame lambda = 1GPa. Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1000
ny = 1234
nz = 1
xmin = 0
xmax = 1000
ymin = 0
ymax = 1234
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[ICs]
[./x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[../]
[./y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[../]
[./z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '0'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '0'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '0'
[../]
[]
[AuxVariables]
[./f0]
order = CONSTANT
family = MONOMIAL
[../]
[./f1]
order = CONSTANT
family = MONOMIAL
[../]
[./f2]
order = CONSTANT
family = MONOMIAL
[../]
[./f3]
order = CONSTANT
family = MONOMIAL
[../]
[./f4]
order = CONSTANT
family = MONOMIAL
[../]
[./f5]
order = CONSTANT
family = MONOMIAL
[../]
[./int0]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./f0]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 6
variable = f0
[../]
[./f1]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 7
variable = f1
[../]
[./f2]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 8
variable = f2
[../]
[./f3]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 9
variable = f3
[../]
[./f4]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 10
variable = f4
[../]
[./f5]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 11
variable = f5
[../]
[./int0]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 0
variable = int0
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./tot_iters]
type = ElementIntegralMaterialProperty
mat_prop = plastic_NR_iterations
outputs = console
[../]
[./intnl_max]
type = ElementExtremeValue
variable = int0
outputs = console
[../]
[./raw_f0]
type = ElementExtremeValue
variable = f0
outputs = console
[../]
[./raw_f1]
type = ElementExtremeValue
variable = f1
outputs = console
[../]
[./raw_f2]
type = ElementExtremeValue
variable = f2
outputs = console
[../]
[./raw_f3]
type = ElementExtremeValue
variable = f3
outputs = console
[../]
[./raw_f4]
type = ElementExtremeValue
variable = f4
outputs = console
[../]
[./raw_f5]
type = ElementExtremeValue
variable = f5
outputs = console
[../]
[./iter]
type = ElementExtremeValue
variable = iter
outputs = console
[../]
[./f0]
type = FunctionValuePostprocessor
function = should_be_zero0_fcn
[../]
[./f1]
type = FunctionValuePostprocessor
function = should_be_zero1_fcn
[../]
[./f2]
type = FunctionValuePostprocessor
function = should_be_zero2_fcn
[../]
[./f3]
type = FunctionValuePostprocessor
function = should_be_zero3_fcn
[../]
[./f4]
type = FunctionValuePostprocessor
function = should_be_zero4_fcn
[../]
[./f5]
type = FunctionValuePostprocessor
function = should_be_zero5_fcn
[../]
[]
[Functions]
[./should_be_zero0_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f0'
[../]
[./should_be_zero1_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f1'
[../]
[./should_be_zero2_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f2'
[../]
[./should_be_zero3_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f3'
[../]
[./should_be_zero4_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f4'
[../]
[./should_be_zero5_fcn]
type = ParsedFunction
expression = 'if(a<1E-1,0,a)'
symbol_names = 'a'
symbol_values = 'raw_f5'
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 1E12
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E12
[../]
[./coh]
type = SolidMechanicsHardeningCubic
value_0 = 1E6
value_residual = 0
internal_limit = 1
[../]
[./ang]
type = SolidMechanicsHardeningCubic
value_0 = 0.9
value_residual = 0.2
internal_limit = 1
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
fill_method = symmetric_isotropic
C_ijkl = '1E9 1.3E9'
[../]
[./tensile]
type = CappedMohrCoulombStressUpdate
tensile_strength = ts
compressive_strength = cs
cohesion = coh
friction_angle = ang
dilation_angle = ang
smoothing_tol = 1E5
max_NR_iterations = 100
yield_function_tol = 1.0E-1
[../]
[./stress]
type = ComputeMultipleInelasticStress
inelastic_models = tensile
perform_finite_strain_rotations = false
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = random3
csv = true
[]
(modules/combined/test/tests/optimization/compliance_sensitivity/thermal_test.i)
vol_frac = 0.4
cost_frac = 10.0
power = 2.0
E0 = 1.0e-6
E1 = 1.0
rho0 = 0.0
rho1 = 1.0
C0 = 1.0e-6
C1 = 1.0
TC0 = 1.0e-16
TC1 = 1.0
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmin = 0
xmax = 40
ymin = 0
ymax = 40
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold
nodes = 0
[]
[push_left]
type = ExtraNodesetGenerator
input = node
new_boundary = push_left
coord = '16 0 0'
[]
[push_center]
type = ExtraNodesetGenerator
input = push_left
new_boundary = push_center
coord = '24 0 0'
[]
[extra]
type = SideSetsFromBoundingBoxGenerator
input = push_center
bottom_left = '-0.01 17.999 0'
top_right = '5 22.001 0'
boundary_new = n1
included_boundaries = left
[]
[dirichlet_bc]
type = SideSetsFromNodeSetsGenerator
input = extra
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 100.0
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[Cc]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[Tc]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[Cost]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = FIRST
initial_condition = ${vol_frac}
[]
[]
[AuxKernels]
[Cost]
type = MaterialRealAux
variable = Cost
property = Cost_mat
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temp
diffusion_coefficient = thermal_cond
[]
[heat_source]
type = HeatSource
value = 1e-2 # W/m^3
variable = temp
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = hold
value = 0.0
[]
[no_x_symm]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[left_n1]
type = DirichletBC
variable = temp
boundary = n1
value = 0.0
[]
[top]
type = NeumannBC
variable = temp
boundary = top
value = 0
[]
[bottom]
type = NeumannBC
variable = temp
boundary = bottom
value = 0
[]
[right]
type = NeumannBC
variable = temp
boundary = right
value = 0
[]
[left]
type = NeumannBC
variable = temp
boundary = left
value = 0
[]
[]
[NodalKernels]
[push_left]
type = NodalGravity
variable = disp_y
boundary = push_left
gravity_value = 0.0 # -1e-8
mass = 1
[]
[push_center]
type = NodalGravity
variable = disp_y
boundary = push_center
gravity_value = 0.0 # -1e-8
mass = 1
[]
[]
[Materials]
[thermal_cond]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${TC0}-${TC1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${TC0}-A1*${rho0}^${power}; TC1:=A1*mat_den^${power}+B1; TC1"
coupled_variables = 'mat_den'
property_name = thermal_cond
outputs = 'exodus'
[]
[thermal_compliance]
type = ThermalCompliance
temperature = temp
thermal_conductivity = thermal_cond
outputs = 'exodus'
[]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${E0}-${E1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${E0}-A1*${rho0}^${power}; E1:=A1*mat_den^${power}+B1; E1"
coupled_variables = 'mat_den'
property_name = E_phys
[]
[Cost_mat]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${C0}-${C1})/(${rho0}^(1/${power})-${rho1}^(1/${power})); "
"B1:=${C0}-A1*${rho0}^(1/${power}); C1:=A1*mat_den^(1/${power})+B1; C1"
coupled_variables = 'mat_den'
property_name = Cost_mat
[]
[CostDensity]
type = ParsedMaterial
property_name = CostDensity
coupled_variables = 'mat_den Cost'
expression = 'mat_den*Cost'
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
[]
[cc]
type = CostSensitivity
design_density = mat_den
cost = Cost_mat
outputs = 'exodus'
[]
[tc]
type = ThermalSensitivity
design_density = mat_den
thermal_conductivity = thermal_cond
temperature = temp
outputs = 'exodus'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 0.1
weights = linear
prop_name = sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[rad_avg_cost]
type = RadialAverage
radius = 0.1
weights = linear
prop_name = cost_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[rad_avg_thermal]
type = RadialAverage
radius = 0.1
weights = linear
prop_name = thermal_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[update]
type = DensityUpdateTwoConstraints
density_sensitivity = Dc
cost_density_sensitivity = Cc
cost = Cost
cost_fraction = ${cost_frac}
design_density = mat_den
volume_fraction = ${vol_frac}
bisection_lower_bound = 0
bisection_upper_bound = 1.0e12 # 100
use_thermal_compliance = true
thermal_sensitivity = Tc
weight_mechanical_thermal = '0 1'
relative_tolerance = 1.0e-12
bisection_move = 0.015
adaptive_move = false
execute_on = TIMESTEP_BEGIN
[]
# Provides Dc
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
# Provides Cc
[calc_sense_cost]
type = SensitivityFilter
density_sensitivity = Cc
design_density = mat_den
filter_UO = rad_avg_cost
execute_on = TIMESTEP_END
force_postaux = true
[]
# Provides Tc
[calc_sense_thermal]
type = SensitivityFilter
density_sensitivity = Tc
design_density = mat_den
filter_UO = rad_avg_thermal
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-12
dt = 1.0
num_steps = 5
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[right_flux]
type = SideDiffusiveFluxAverage
variable = temp
boundary = right
diffusivity = 10
[]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[cost_sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = cost_sensitivity
[]
[cost]
type = ElementIntegralMaterialProperty
mat_prop = CostDensity
[]
[cost_frac]
type = ParsedPostprocessor
expression = 'cost / mesh_volume'
pp_names = 'cost mesh_volume'
[]
[objective]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
[]
[objective_thermal]
type = ElementIntegralMaterialProperty
mat_prop = thermal_compliance
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
(modules/phase_field/test/tests/Nucleation/parallel.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 100
ny = 100
nz = 0
xmin = 0
xmax = 20
ymin = 0
ymax = 20
[]
[GlobalParams]
derivative_order = 2
[]
[Variables]
[./c]
order = FIRST
family = LAGRANGE
[../]
[]
[BCs]
[./Periodic]
[./all]
auto_direction = 'x y'
[../]
[../]
[]
[Kernels]
[./c]
type = Diffusion
variable = c
[../]
[./dt]
type = TimeDerivative
variable = c
[../]
[]
[Materials]
[./nucleation]
type = DiscreteNucleation
op_names = c
op_values = 1
map = map
[../]
[]
[UserObjects]
[./inserter]
type = DiscreteNucleationInserter
hold_time = 1
probability = 0.01
radius = 4
[../]
[./map]
type = DiscreteNucleationMap
periodic = c
inserter = inserter
[../]
[]
[Postprocessors]
[./sum]
type = ElementIntegralMaterialProperty
mat_prop = F
[../]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
num_steps = 10
dt = 0.1
[]
[Outputs]
execute_on = 'timestep_end'
[./out]
type = CSV
[../]
[]
(modules/porous_flow/test/tests/fluids/simple_fluid.i)
# Test the properties calculated by the simple fluid Material
# Pressure 10 MPa
# Temperature = 300 K (temperature unit = K)
# Density should equal 1500*exp(1E7/1E9-2E-4*300)=1426.844 kg/m^3
# Viscosity should equal 1.1E-3 Pa.s
# Energy density should equal 4000 * 300 = 1.2E6 J/kg
# Specific enthalpy should equal 4000 * 300 + 10e6 / 1426.844 = 1.207008E6 J/kg
[FluidProperties]
[the_simple_fluid]
type = SimpleFluidProperties
thermal_expansion = 2.0E-4
cv = 4000.0
cp = 5000.0
bulk_modulus = 1.0E9
thermal_conductivity = 1.0
viscosity = 1.1E-3
density0 = 1500.0
[]
[]
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp T'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[pp]
initial_condition = 10e6
[]
[T]
initial_condition = 300.0
[]
[]
[Kernels]
[dummy_p]
type = Diffusion
variable = pp
[]
[dummy_T]
type = Diffusion
variable = T
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = T
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
temperature_unit = Kelvin
fp = the_simple_fluid
phase = 0
[]
[]
[Postprocessors]
[pressure]
type = ElementIntegralVariablePostprocessor
variable = pp
[]
[temperature]
type = ElementIntegralVariablePostprocessor
variable = T
[]
[density]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_density_qp0'
[]
[viscosity]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_viscosity_qp0'
[]
[internal_energy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_internal_energy_qp0'
[]
[enthalpy]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_enthalpy_qp0'
[]
[]
[Executioner]
type = Steady
solve_type = Newton
[]
[Outputs]
execute_on = 'timestep_end'
file_base = simple_fluid
csv = true
[]
(test/tests/materials/derivative_material_interface/ad_material_chaining.i)
#
# This test validates the correct application of the chain rule to coupled
# material properties within DerivativeParsedMaterials
#
[Mesh]
type = GeneratedMesh
dim = 2
nx = 5
ny = 5
xmin = 0
xmax = 1
ymin = 0
ymax = 1
[]
[Variables]
[./eta1]
[../]
[./eta2]
[../]
[]
[BCs]
[./left]
variable = eta1
boundary = left
type = DirichletBC
value = 0
[../]
[./right]
variable = eta1
boundary = right
type = DirichletBC
value = 1
[../]
[./top]
variable = eta2
boundary = top
type = DirichletBC
value = 0
[../]
[./bottom]
variable = eta2
boundary = bottom
type = DirichletBC
value = 1
[../]
[]
[Materials]
# T1 := (eta1+1)^4
[./term]
type = ADDerivativeParsedMaterial
property_name= T1
coupled_variables = 'eta1'
expression = '(eta1+1)^4'
derivative_order = 4
[../]
# in this material we substitute T1 explicitly
[./full]
type = ADDerivativeParsedMaterial
coupled_variables = 'eta1 eta2'
property_name = F1
expression = '(1-eta2)^4+(eta1+1)^4'
[../]
# in this material we utilize the T1 derivative material property
[./subs]
type = ADDerivativeParsedMaterial
coupled_variables = 'eta1 eta2'
property_name = F2
expression = '(1-eta2)^4+T1'
material_property_names = 'T1(eta1)'
[../]
# calculate differences between the explicit and indirect substitution version
# the use if the T1 property should include dT1/deta1 contributions!
# This also demonstrated the explicit use of material property derivatives using
# the D[...] syntax.
[./diff0]
type = ADParsedMaterial
property_name = D0
expression = '(F1-F2)^2'
material_property_names = 'F1 F2'
[../]
[./diff1]
type = ADParsedMaterial
property_name = D1
expression = '(dF1-dF2)^2'
material_property_names = 'dF1:=D[F1,eta1] dF2:=D[F2,eta1]'
[../]
[./diff2]
type = ADParsedMaterial
property_name = D2
expression = '(d2F1-d2F2)^2'
material_property_names = 'd2F1:=D[F1,eta1,eta1] d2F2:=D[F2,eta1,eta1]'
[../]
# check that explicitly pulling a derivative yields the correct result by
# taking the difference of the manually calculated 1st derivative of T1 and the
# automatic derivative dT1 pulled in through dT1:=D[T1,eta1]
[./diff3]
type = ADParsedMaterial
property_name = E0
expression = '(dTd1-(4*(eta1+1)^3))^2'
coupled_variables = eta1
material_property_names = 'dTd1:=D[T1,eta1]'
[../]
[]
[Kernels]
[./eta1diff]
type = Diffusion
variable = eta1
[../]
[./eta2diff]
type = Diffusion
variable = eta2
[../]
[]
[Postprocessors]
[./D0]
type = ADElementIntegralMaterialProperty
mat_prop = D0
[../]
[./D1]
type = ADElementIntegralMaterialProperty
mat_prop = D1
[../]
[./D2]
type = ADElementIntegralMaterialProperty
mat_prop = D2
[../]
[./E0]
type = ADElementIntegralMaterialProperty
mat_prop = E0
[../]
[]
[Executioner]
type = Steady
solve_type = NEWTON
l_tol = 1e-03
[]
[Outputs]
execute_on = 'TIMESTEP_END'
csv = true
print_linear_residuals = false
[]
(test/tests/materials/compile_time_derivative/test.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 3
nx = 2
ny = 2
nz = 2
[]
[]
[Problem]
solve = false
[]
[Variables]
[a]
[InitialCondition]
type = FunctionIC
function = x
[]
[]
[b]
[InitialCondition]
type = FunctionIC
function = y
[]
[]
[c]
[InitialCondition]
type = FunctionIC
function = z
[]
[]
[]
[Materials]
[ctd]
type = CTDCoupledVarTest
x = a
y = b
z = c
property_name = F
[]
[parsed]
type = DerivativeParsedMaterial
coupled_variables = 'a b c'
expression = 'a^3*b^4*c^5 + sin(a)*cos(b)/(c+0.1) + log(a+0.1)*sin(b)*cos(c)'
property_name = G
[]
[L2_difference]
type = ParsedMaterial
expression = '(f0-g0)^2+(f1-g1)^2+(f2-g2)^2+(f3-g3)^2+(f4-g4)^2+(f5-g5)^2+(f6-g6)^2+(f7-g7)^2+(f8-g8)^2+(f9-g9)^2+(f10-g10)^2+(f11-g11)^2+(f12-g12)^2+(f13-g13)^2+(f14-g14)^2+(f15-g15)^2+(f16-g16)^2+(f17-g17)^2+(f18-g18)^2+(f19-g19)^2'
material_property_names = 'f0:=F g0:=G f1:=dF/da g1:=dG/da f2:=dF/db g2:=dG/db f3:=dF/dc g3:=dG/dc f4:=d^2F/da^2 g4:=d^2G/da^2 f5:=d^2F/dadb g5:=d^2G/dadb f6:=d^2F/dadc g6:=d^2G/dadc f7:=d^2F/db^2 g7:=d^2G/db^2 f8:=d^2F/dbdc g8:=d^2G/dbdc f9:=d^2F/dc^2 g9:=d^2G/dc^2 f10:=d^3F/da^2db g10:=d^3G/da^2db f11:=d^3F/da^2dc g11:=d^3G/da^2dc f12:=d^3F/da^3 g12:=d^3G/da^3 f13:=d^3F/dadb^2 g13:=d^3G/dadb^2 f14:=d^3F/dadbdc g14:=d^3G/dadbdc f15:=d^3F/dadc^2 g15:=d^3G/dadc^2 f16:=d^3F/db^2dc g16:=d^3G/db^2dc f17:=d^3F/db^3 g17:=d^3G/db^3 f18:=d^3F/dbdc^2 g18:=d^3G/dbdc^2 f19:=d^3F/dc^3 g19:=d^3G/dc^3'
property_name = L2
[]
[]
[Postprocessors]
[L2_int]
type = ElementIntegralMaterialProperty
mat_prop = L2
[]
[]
[Executioner]
type = Steady
[]
[Outputs]
csv = true
[]
(modules/solid_mechanics/test/tests/uel/small_test_uel_states_fields_gradient.i)
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
xmax = 10
ymax = 3
elem_type = TRI3
[]
[pin]
type = ExtraNodesetGenerator
nodes = 106
new_boundary = pin
input = gen
[]
displacements = 'disp_x disp_y'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[temperature]
initial_condition = 400
[]
[voltage]
initial_condition = 210
[]
[]
[AuxKernels]
[temperature]
type = FunctionAux
function = '25* x + 40 * y + 400'
variable = temperature
[]
[voltage]
type = FunctionAux
function = '10 * x + 4 * y + 210'
variable = voltage
[]
[]
[BCs]
[left_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[]
[left_y]
type = DirichletBC
variable = disp_y
boundary = pin
value = 0
[]
inactive = 'right_dirichlet'
[right_neumann]
type = FunctionNeumannBC
variable = disp_x
function = t/10
boundary = right
[]
[right_dirichlet]
type = FunctionDirichletBC
variable = disp_x
function = t/10
boundary = right
[]
[]
[UserObjects]
[uel]
type = AbaqusUserElement
variables = 'disp_x disp_y'
plugin = ../../../examples/uel_tri_states_tests/uel
use_displaced_mesh = false
num_state_vars = 8
constant_properties = '100 0.3' # E nu
external_fields = 'temperature voltage'
extra_vector_tags = 'kernel_residual'
[]
[]
[Problem]
kernel_coverage_check = false
extra_tag_vectors = 'kernel_residual'
[]
[AuxVariables]
[res_x]
[]
[res_y]
[]
[]
[AuxKernels]
[res_x]
type = TagVectorAux
variable = res_x
v = disp_x
vector_tag = kernel_residual
[]
[res_y]
type = TagVectorAux
variable = res_y
v = disp_y
vector_tag = kernel_residual
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
dt = 1
num_steps = 15
[]
[Postprocessors]
[delta_l]
type = SideAverageValue
variable = disp_x
boundary = right
execute_on = 'INITIAL TIMESTEP_END'
[]
[V]
type = ElementIntegralMaterialProperty
mat_prop = 1
use_displaced_mesh = true
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Outputs]
exodus = true
csv = true
[]
(test/tests/materials/derivative_material_interface/material_chaining.i)
#
# This test validates the correct application of the chain rule to coupled
# material properties within DerivativeParsedMaterials
#
[Mesh]
type = GeneratedMesh
dim = 2
nx = 5
ny = 5
xmin = 0
xmax = 1
ymin = 0
ymax = 1
[]
[Variables]
[./eta1]
[../]
[./eta2]
[../]
[]
[BCs]
[./left]
variable = eta1
boundary = left
type = DirichletBC
value = 0
[../]
[./right]
variable = eta1
boundary = right
type = DirichletBC
value = 1
[../]
[./top]
variable = eta2
boundary = top
type = DirichletBC
value = 0
[../]
[./bottom]
variable = eta2
boundary = bottom
type = DirichletBC
value = 1
[../]
[]
[Materials]
# T1 := (eta1+1)^4
[./term]
type = DerivativeParsedMaterial
property_name= T1
coupled_variables = 'eta1'
expression = '(eta1+1)^4'
derivative_order = 4
[../]
# in this material we substitute T1 explicitly
[./full]
type = DerivativeParsedMaterial
coupled_variables = 'eta1 eta2'
property_name = F1
expression = '(1-eta2)^4+(eta1+1)^4'
[../]
# in this material we utilize the T1 derivative material property
[./subs]
type = DerivativeParsedMaterial
coupled_variables = 'eta1 eta2'
property_name = F2
expression = '(1-eta2)^4+T1'
material_property_names = 'T1(eta1)'
[../]
# calculate differences between the explicit and indirect substitution version
# the use if the T1 property should include dT1/deta1 contributions!
# This also demonstrated the explicit use of material property derivatives using
# the D[...] syntax.
[./diff0]
type = ParsedMaterial
property_name = D0
expression = '(F1-F2)^2'
material_property_names = 'F1 F2'
[../]
[./diff1]
type = ParsedMaterial
property_name = D1
expression = '(dF1-dF2)^2'
material_property_names = 'dF1:=D[F1,eta1] dF2:=D[F2,eta1]'
[../]
[./diff2]
type = ParsedMaterial
property_name = D2
expression = '(d2F1-d2F2)^2'
material_property_names = 'd2F1:=D[F1,eta1,eta1] d2F2:=D[F2,eta1,eta1]'
[../]
# check that explicitly pulling a derivative yields the correct result by
# taking the difference of the manually calculated 1st derivative of T1 and the
# automatic derivative dT1 pulled in through dT1:=D[T1,eta1]
[./diff3]
type = ParsedMaterial
property_name = E0
expression = '(dTd1-(4*(eta1+1)^3))^2'
coupled_variables = eta1
material_property_names = 'dTd1:=D[T1,eta1]'
[../]
[]
[Kernels]
[./eta1diff]
type = Diffusion
variable = eta1
[../]
[./eta2diff]
type = Diffusion
variable = eta2
[../]
[]
[Postprocessors]
[./D0]
type = ElementIntegralMaterialProperty
mat_prop = D0
[../]
[./D1]
type = ElementIntegralMaterialProperty
mat_prop = D1
[../]
[./D2]
type = ElementIntegralMaterialProperty
mat_prop = D2
[../]
[./E0]
type = ElementIntegralMaterialProperty
mat_prop = E0
[../]
[]
[Executioner]
type = Steady
solve_type = NEWTON
l_tol = 1e-03
[]
[Outputs]
execute_on = 'TIMESTEP_END'
csv = true
print_linear_residuals = false
[]
(modules/porous_flow/test/tests/fluids/co2.i)
# Test the density and viscosity calculated by the simple CO2 Material
# Pressure 5 MPa
# Temperature 50C
# These conditions correspond to the gas phase
# CO2 density should equal 104 kg/m^3 (NIST webbook)
# CO2 viscosity should equal 0.000017345 Pa.s (NIST webbook)
# Results are within expected accuracy
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[pp]
initial_condition = 5e6
[]
[]
[Kernels]
[dummy]
type = Diffusion
variable = pp
[]
[]
[AuxVariables]
[temp]
initial_condition = 50
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[co2]
type = PorousFlowSingleComponentFluid
temperature_unit = Celsius
fp = co2
phase = 0
[]
[]
[FluidProperties]
[co2]
type = CO2FluidProperties
[]
[]
[Executioner]
type = Steady
solve_type = Newton
[]
[Postprocessors]
[pressure]
type = ElementIntegralVariablePostprocessor
variable = pp
[]
[temperature]
type = ElementIntegralVariablePostprocessor
variable = temp
[]
[density]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_fluid_phase_density_qp0'
[]
[viscosity]
type = ElementIntegralMaterialProperty
mat_prop = 'PorousFlow_viscosity_qp0'
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = co2
csv = true
[]
(modules/combined/test/tests/optimization/compliance_sensitivity/three_materials_thermal.i)
vol_frac = 0.4
cost_frac = 0.4
power = 4
# Stiffness (not optimized in this test)
E0 = 1.0e-6
E1 = 0.2
E2 = 0.6
E3 = 1.0
# Densities
rho0 = 1.0e-6
rho1 = 0.4
rho2 = 0.7
rho3 = 1.0
# Costs
C0 = 1.0e-6
C1 = 0.5
C2 = 0.8
C3 = 1.0
# Thermal conductivity
TC0 = 1.0e-6
TC1 = 0.2
TC2 = 0.6
TC3 = 1.0
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 40
xmin = 0
xmax = 40
ymin = 0
ymax = 40
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold
nodes = 0
[]
[push_left]
type = ExtraNodesetGenerator
input = node
new_boundary = push_left
coord = '20 0 0'
[]
[push_center]
type = ExtraNodesetGenerator
input = push_left
new_boundary = push_center
coord = '40 0 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 100.0
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[Cc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[Tc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[Cost]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[]
# [ICs]
# [mat_den]
# type = RandomIC
# seed = 4
# variable = mat_den
# max = '${fparse vol_frac+0.25}'
# min = '${fparse vol_frac-0.25}'
# []
# []
[AuxKernels]
[Cost]
type = MaterialRealAux
variable = Cost
property = Cost_mat
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = temp
diffusion_coefficient = thermal_cond
[]
[heat_source]
type = HeatSource
value = 1e-2 # W/m^3
variable = temp
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = hold
value = 0.0
[]
[no_x_symm]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[top]
type = DirichletBC
variable = temp
boundary = top
value = 0
[]
[bottom]
type = DirichletBC
variable = temp
boundary = bottom
value = 0
[]
[right]
type = DirichletBC
variable = temp
boundary = right
value = 0
[]
[left]
type = DirichletBC
variable = temp
boundary = left
value = 0
[]
[]
[NodalKernels]
[push_left]
type = NodalGravity
variable = disp_y
boundary = push_left
gravity_value = -1e-6 # -3
mass = 1
[]
[push_center]
type = NodalGravity
variable = disp_y
boundary = push_center
gravity_value = -1e-6 # -3
mass = 1
[]
[]
[Materials]
[thermal_cond]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${TC0}-${TC1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${TC0}-A1*${rho0}^${power}; TC1:=A1*mat_den^${power}+B1; "
"A2:=(${TC1}-${TC2})/(${rho1}^${power}-${rho2}^${power}); "
"B2:=${TC1}-A2*${rho1}^${power}; TC2:=A2*mat_den^${power}+B2; "
"A3:=(${TC2}-${TC3})/(${rho2}^${power}-${rho3}^${power}); "
"B3:=${TC2}-A3*${rho2}^${power}; TC3:=A3*mat_den^${power}+B3; "
"if(mat_den<${rho1},TC1,if(mat_den<${rho2},TC2,TC3))"
coupled_variables = 'mat_den'
property_name = thermal_cond
outputs = 'exodus'
[]
[thermal_compliance]
type = ThermalCompliance
temperature = temp
thermal_conductivity = thermal_cond
outputs = 'exodus'
[]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${E0}-${E1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${E0}-A1*${rho0}^${power}; E1:=A1*mat_den^${power}+B1; "
"A2:=(${E1}-${E2})/(${rho1}^${power}-${rho2}^${power}); "
"B2:=${E1}-A2*${rho1}^${power}; E2:=A2*mat_den^${power}+B2; "
"A3:=(${E2}-${E3})/(${rho2}^${power}-${rho3}^${power}); "
"B3:=${E2}-A3*${rho2}^${power}; E3:=A3*mat_den^${power}+B3; "
"if(mat_den<${rho1},E1,if(mat_den<${rho2},E2,E3))"
coupled_variables = 'mat_den'
property_name = E_phys
[]
[Cost_mat]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${C0}-${C1})/(${rho0}^(1/${power})-${rho1}^(1/${power})); "
"B1:=${C0}-A1*${rho0}^(1/${power}); C1:=A1*mat_den^(1/${power})+B1; "
"A2:=(${C1}-${C2})/(${rho1}^(1/${power})-${rho2}^(1/${power})); "
"B2:=${C1}-A2*${rho1}^(1/${power}); C2:=A2*mat_den^(1/${power})+B2; "
"A3:=(${C2}-${C3})/(${rho2}^(1/${power})-${rho3}^(1/${power})); "
"B3:=${C2}-A3*${rho2}^(1/${power}); C3:=A3*mat_den^(1/${power})+B3; "
"if(mat_den<${rho1},C1,if(mat_den<${rho2},C2,C3))"
coupled_variables = 'mat_den'
property_name = Cost_mat
[]
[CostDensity]
type = ParsedMaterial
property_name = CostDensity
coupled_variables = 'mat_den Cost'
expression = 'mat_den*Cost'
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
[]
[cc]
type = CostSensitivity
design_density = mat_den
cost = Cost_mat
outputs = 'exodus'
[]
[tc]
type = ThermalSensitivity
design_density = mat_den
thermal_conductivity = thermal_cond
temperature = temp
outputs = 'exodus'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 4
weights = linear
prop_name = sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[rad_avg_cost]
type = RadialAverage
radius = 4
weights = linear
prop_name = cost_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[rad_avg_thermal]
type = RadialAverage
radius = 4
weights = linear
prop_name = thermal_sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[update]
type = DensityUpdateTwoConstraints
density_sensitivity = Dc
cost_density_sensitivity = Cc
cost = Cost
cost_fraction = ${cost_frac}
design_density = mat_den
volume_fraction = ${vol_frac}
bisection_lower_bound = 0
bisection_upper_bound = 1.0e12 # 100
use_thermal_compliance = true
thermal_sensitivity = Tc
# Only account for thermal optimizxation
weight_mechanical_thermal = '0 1'
relative_tolerance = 1.0e-8
bisection_move = 0.05
adaptive_move = false
execute_on = TIMESTEP_BEGIN
[]
# Provides Dc
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
# Provides Cc
[calc_sense_cost]
type = SensitivityFilter
density_sensitivity = Cc
design_density = mat_den
filter_UO = rad_avg_cost
execute_on = TIMESTEP_END
force_postaux = true
[]
# Provides Tc
[calc_sense_thermal]
type = SensitivityFilter
density_sensitivity = Tc
design_density = mat_den
filter_UO = rad_avg_thermal
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-10
dt = 1.0
num_steps = 12
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[right_flux]
type = SideDiffusiveFluxAverage
variable = temp
boundary = right
diffusivity = 10
[]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[cost_sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = cost_sensitivity
[]
[cost]
type = ElementIntegralMaterialProperty
mat_prop = CostDensity
[]
[cost_frac]
type = ParsedPostprocessor
expression = 'cost / mesh_volume'
pp_names = 'cost mesh_volume'
[]
[objective]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
[]
[objective_thermal]
type = ElementIntegralMaterialProperty
mat_prop = thermal_compliance
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
(modules/combined/test/tests/optimization/compliance_sensitivity/2d_mbb_pde_amr.i)
vol_frac = 0.5
E0 = 1
Emin = 1e-8
power = 3
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 30
ny = 10
xmin = 0
xmax = 30
ymin = 0
ymax = 10
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold
nodes = 0
[]
[push]
type = ExtraNodesetGenerator
input = node
new_boundary = push
coord = '30 10 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[Dc]
initial_condition = -1.0
[]
[]
[AuxVariables]
[sensitivity]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[AuxKernel]
type = MaterialRealAux
variable = sensitivity
property = sensitivity
execute_on = LINEAR
[]
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[Dc_elem]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[AuxKernel]
type = SelfAux
variable = Dc_elem
v = Dc
execute_on = 'TIMESTEP_END'
[]
[]
[mat_den_nodal]
family = L2_LAGRANGE
order = FIRST
initial_condition = ${vol_frac}
[AuxKernel]
type = SelfAux
execute_on = TIMESTEP_END
variable = mat_den_nodal
v = mat_den
[]
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[Kernels]
[diffusion]
type = FunctionDiffusion
variable = Dc
function = 0.15 # radius coeff
[]
[potential]
type = Reaction
variable = Dc
[]
[source]
type = CoupledForce
variable = Dc
v = sensitivity
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_y
boundary = hold
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[boundary_penalty]
type = ADRobinBC
variable = Dc
boundary = 'left top'
coefficient = 10
[]
[boundary_penalty_right]
type = ADRobinBC
variable = Dc
boundary = 'right'
coefficient = 10
[]
[]
[NodalKernels]
[push]
type = NodalGravity
variable = disp_y
boundary = push
gravity_value = -1
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
incremental = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[update]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = none
nl_abs_tol = 1e-4
l_max_its = 200
start_time = 0.0
dt = 1.0
num_steps = 70
[]
[Outputs]
[out]
type = CSV
execute_on = 'INITIAL TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[]
[Controls]
[first_period]
type = TimePeriod
start_time = 0.0
end_time = 40
enable_objects = 'BCs::boundary_penalty_right'
execute_on = 'initial timestep_begin'
[]
[]
[Adaptivity]
max_h_level = 2
recompute_markers_during_cycles = true
interval = 1
cycles_per_step = 1
marker = density_marker
[Indicators]
[density_jump]
type = ValueJumpIndicator
variable = mat_den_nodal
[]
[]
[Markers]
[density_marker]
type = ErrorToleranceMarker
indicator = density_jump
coarsen = 0.1
refine = 0.1
[]
[]
[]
(modules/combined/test/tests/optimization/compliance_sensitivity/2d_mmb_2material.i)
vol_frac = 0.5
power = 1
E0 = 1e-5
E1 = 0.6
E2 = 1.0
rho0 = 0.0
rho1 = 0.4
rho2 = 1.0
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 150
ny = 50
xmin = 0
xmax = 30
ymin = 0
ymax = 10
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold
nodes = 0
[]
[push]
type = ExtraNodesetGenerator
input = node
new_boundary = push
coord = '30 10 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[Dc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
# initial_condition = ${vol_frac}
[]
[]
[ICs]
[mat_den]
type = RandomIC
seed = 5
variable = mat_den
max = '${fparse vol_frac+0.15}'
min = '${fparse vol_frac-0.15}'
[]
[]
[Modules/TensorMechanics/Master]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_y
boundary = hold
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[]
[NodalKernels]
[push]
type = NodalGravity
variable = disp_y
boundary = push
gravity_value = -1
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# ordered multimaterial simp
expression = "A1:=(${E0}-${E1})/(${rho0}^${power}-${rho1}^${power}); "
"B1:=${E0}-A1*${rho0}^${power}; E1:=A1*mat_den^${power}+B1; "
"A2:=(${E1}-${E2})/(${rho1}^${power}-${rho2}^${power}); "
"B2:=${E1}-A2*${rho1}^${power}; E2:=A2*mat_den^${power}+B2; "
"if(mat_den<${rho1},E1,E2)"
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity2
design_density = mat_den
youngs_modulus = E_phys
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[rad_avg]
type = RadialAverage
radius = 1.2
weights = linear
prop_name = sensitivity
execute_on = TIMESTEP_END
force_preaux = true
[]
[update]
type = DensityUpdate
density_sensitivity = Dc
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
[]
[calc_sense]
type = SensitivityFilter
density_sensitivity = Dc
design_density = mat_den
filter_UO = rad_avg
execute_on = TIMESTEP_END
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-8
dt = 1.0
num_steps = 70
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[]