Inertial Torque

Kernel for interial torque: density * displacement x acceleration

Description

This kernel computes the component of inertial torque using

(1)

In this equation is the material's density (a Material Property), is the permutation pseudotensor (the Levi-Cevita tensor), is the component of displacement, and is the component of the acceleration.

This Kernel is used in dynamic Cosserat continuum-mechanics problems.

Newmark time integration is used, which means the Newmark acceleration is defined by (2) and the velocity by (3) The Newmark parameters must satisfy and . When and , the Newmark scheme is unconditionally stable.

Parameters ( and ) are also included that allow Rayleigh damping and HHT time integration, meaning that the final form for acceleration is (4) If damping is utilized (ie, if ) then the "Dynamic" versions of the StressDivergenceTensors Kernels should be used.

Input Parameters

  • velocitiesThe 3 velocity variables

    C++ Type:std::vector

    Options:

    Description:The 3 velocity variables

  • componentThe component of the Cosserat rotation Variable prescribed to this Kernel (0 for x, 1 for y, 2 for z)

    C++ Type:unsigned int

    Options:

    Description:The component of the Cosserat rotation Variable prescribed to this Kernel (0 for x, 1 for y, 2 for z)

  • betabeta parameter for Newmark Time integration

    C++ Type:double

    Options:

    Description:beta parameter for Newmark Time integration

  • variableThe name of the variable that this Kernel operates on

    C++ Type:NonlinearVariableName

    Options:

    Description:The name of the variable that this Kernel operates on

  • accelerationsThe 3 acceleration variables

    C++ Type:std::vector

    Options:

    Description:The 3 acceleration variables

  • displacementsThe 3 displacement variables

    C++ Type:std::vector

    Options:

    Description:The 3 displacement variables

  • gammagamma parameter for Newmark Time integration

    C++ Type:double

    Options:

    Description:gamma parameter for Newmark Time integration

Required Parameters

  • alpha0alpha parameter for mass dependent numerical damping induced by HHT time integration scheme

    Default:0

    C++ Type:double

    Options:

    Description:alpha parameter for mass dependent numerical damping induced by HHT time integration scheme

  • eta0Name of material property or a constant real number defining the eta parameter for the Rayleigh damping.

    Default:0

    C++ Type:MaterialPropertyName

    Options:

    Description:Name of material property or a constant real number defining the eta parameter for the Rayleigh damping.

  • blockThe list of block ids (SubdomainID) that this object will be applied

    C++ Type:std::vector

    Options:

    Description:The list of block ids (SubdomainID) that this object will be applied

  • densitydensityName of Material Property that provides the density

    Default:density

    C++ Type:MaterialPropertyName

    Options:

    Description:Name of Material Property that provides the density

Optional Parameters

  • enableTrueSet the enabled status of the MooseObject.

    Default:True

    C++ Type:bool

    Options:

    Description:Set the enabled status of the MooseObject.

  • save_inThe name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)

    C++ Type:std::vector

    Options:

    Description:The name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)

  • 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

    Options:

    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.

  • control_tagsAdds user-defined labels for accessing object parameters via control logic.

    C++ Type:std::vector

    Options:

    Description:Adds user-defined labels for accessing object parameters via control logic.

  • seed0The seed for the master random number generator

    Default:0

    C++ Type:unsigned int

    Options:

    Description:The seed for the master random number generator

  • diag_save_inThe name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)

    C++ Type:std::vector

    Options:

    Description:The name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)

  • implicitTrueDetermines whether this object is calculated using an implicit or explicit form

    Default:True

    C++ Type:bool

    Options:

    Description:Determines whether this object is calculated using an implicit or explicit form

Advanced Parameters

  • vector_tagstimeThe tag for the vectors this Kernel should fill

    Default:time

    C++ Type:MultiMooseEnum

    Options:nontime time

    Description:The tag for the vectors this Kernel should fill

  • extra_vector_tagsThe extra tags for the vectors this Kernel should fill

    C++ Type:std::vector

    Options:

    Description:The extra tags for the vectors this Kernel should fill

  • matrix_tagssystem timeThe tag for the matrices this Kernel should fill

    Default:system time

    C++ Type:MultiMooseEnum

    Options:nontime system time

    Description:The tag for the matrices this Kernel should fill

  • extra_matrix_tagsThe extra tags for the matrices this Kernel should fill

    C++ Type:std::vector

    Options:

    Description:The extra tags for the matrices this Kernel should fill

Tagging Parameters

Input Files