Inertial Torque

Kernel for inertial torque: density * displacement x acceleration

Description

This kernel computes the component of inertial torque using

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 and the velocity by 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 If damping is utilized (ie, if ) then the "Dynamic" versions of the StressDivergenceTensors Kernels should be used.

Input Parameters

  • accelerationsThe 3 acceleration variables

    C++ Type:std::vector<VariableName>

    Controllable:No

    Description:The 3 acceleration variables

  • betabeta parameter for Newmark Time integration

    C++ Type:double

    Controllable:No

    Description:beta parameter for Newmark Time integration

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

    C++ Type:unsigned int

    Controllable:No

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

  • displacementsThe 3 displacement variables

    C++ Type:std::vector<VariableName>

    Controllable:No

    Description:The 3 displacement variables

  • gammagamma parameter for Newmark Time integration

    C++ Type:double

    Controllable:No

    Description:gamma parameter for Newmark Time integration

  • variableThe name of the variable that this residual object operates on

    C++ Type:NonlinearVariableName

    Controllable:No

    Description:The name of the variable that this residual object operates on

  • velocitiesThe 3 velocity variables

    C++ Type:std::vector<VariableName>

    Controllable:No

    Description:The 3 velocity variables

Required Parameters

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

    Default:0

    C++ Type:double

    Controllable:No

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

  • 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

  • densitydensityName of Material Property that provides the density

    Default:density

    C++ Type:MaterialPropertyName

    Controllable:No

    Description:Name of Material Property that provides the density

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

    Default:0

    C++ Type:MaterialPropertyName

    Controllable:No

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

  • 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.

Optional Parameters

  • absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution

    C++ Type:std::vector<TagName>

    Controllable:No

    Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution

  • extra_matrix_tagsThe extra tags for the matrices this Kernel should fill

    C++ Type:std::vector<TagName>

    Controllable:No

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

  • extra_vector_tagsThe extra tags for the vectors this Kernel should fill

    C++ Type:std::vector<TagName>

    Controllable:No

    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

    Controllable:No

    Description:The tag for the matrices this Kernel should fill

  • vector_tagstimeThe tag for the vectors this Kernel should fill

    Default:time

    C++ Type:MultiMooseEnum

    Options:nontime, time

    Controllable:No

    Description:The tag for the vectors this Kernel should fill

Tagging Parameters

  • 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.

  • 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<AuxVariableName>

    Controllable:No

    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.)

  • enableTrueSet the enabled status of the MooseObject.

    Default:True

    C++ Type:bool

    Controllable:Yes

    Description:Set the enabled status of the MooseObject.

  • 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

  • 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<AuxVariableName>

    Controllable:No

    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.)

  • 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