HomogenizedTotalLagrangianStressDivergence

Total Lagrangian stress equilibrium kernel with homogenization constraint Jacobian terms

Overview

This object provides the total Lagrangian stress equilibrium kernel and corresponding Jacobian for the homogenization system. It is identical to the TotalLagrangianStressDivergence class except it also provides the correct off-diagonal Jacobian terms for the Lagrangian kernel homogenization system.

The SolidMechanics/QuasiStatic can add this object automatically, which is the recommended way to set up homogenization constraints.

Example Input File Syntax

The following example manually specifies the parameters required to setup the kernel for a large deformation homogenization problem. The macro_gradient parameter is the name of the ScalarVariable containing the homogenization strain or displacement gradient field. The constraint_types parameters controls the type of constraint (deformation or stress) for each input. The homogenization system documentation lists the order of these inputs for each problem dimension/type.

[AuxKernels]
  [s11]
    type = RankTwoAux
    variable = s11
    rank_two_tensor = pk1_stress
    index_i = 0
    index_j = 0
  []
  [s21]
    type = RankTwoAux
    variable = s21
    rank_two_tensor = pk1_stress
    index_i = 1
    index_j = 0
  []
  [s31]
    type = RankTwoAux
    variable = s31
    rank_two_tensor = pk1_stress
    index_i = 2
    index_j = 0
  []
  [s12]
    type = RankTwoAux
    variable = s12
    rank_two_tensor = pk1_stress
    index_i = 0
    index_j = 1
  []
  [s22]
    type = RankTwoAux
    variable = s22
    rank_two_tensor = pk1_stress
    index_i = 1
    index_j = 1
  []
  [s32]
    type = RankTwoAux
    variable = s32
    rank_two_tensor = pk1_stress
    index_i = 2
    index_j = 1
  []
  [s13]
    type = RankTwoAux
    variable = s13
    rank_two_tensor = pk1_stress
    index_i = 0
    index_j = 2
  []
  [s23]
    type = RankTwoAux
    variable = s23
    rank_two_tensor = pk1_stress
    index_i = 1
    index_j = 2
  []
  [s33]
    type = RankTwoAux
    variable = s33
    rank_two_tensor = pk1_stress
    index_i = 2
    index_j = 2
  []

  [F11]
    type = RankTwoAux
    variable = F11
    rank_two_tensor = deformation_gradient
    index_i = 0
    index_j = 0
  []
  [F21]
    type = RankTwoAux
    variable = F21
    rank_two_tensor = deformation_gradient
    index_i = 1
    index_j = 0
  []
  [F31]
    type = RankTwoAux
    variable = F31
    rank_two_tensor = deformation_gradient
    index_i = 2
    index_j = 0
  []
  [F12]
    type = RankTwoAux
    variable = F12
    rank_two_tensor = deformation_gradient
    index_i = 0
    index_j = 1
  []
  [F22]
    type = RankTwoAux
    variable = F22
    rank_two_tensor = deformation_gradient
    index_i = 1
    index_j = 1
  []
  [F32]
    type = RankTwoAux
    variable = F32
    rank_two_tensor = deformation_gradient
    index_i = 2
    index_j = 1
  []
  [F13]
    type = RankTwoAux
    variable = F13
    rank_two_tensor = deformation_gradient
    index_i = 0
    index_j = 2
  []
  [F23]
    type = RankTwoAux
    variable = F23
    rank_two_tensor = deformation_gradient
    index_i = 1
    index_j = 2
  []
  [F33]
    type = RankTwoAux
    variable = F33
    rank_two_tensor = deformation_gradient
    index_i = 2
    index_j = 2
  []
[]
(moose/modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/large-tests/3d.i)

Input Parameters

  • componentWhich direction this kernel acts in

    C++ Type:unsigned int

    Unit:(no unit assumed)

    Controllable:No

    Description:Which direction this kernel acts in

  • displacementsThe displacement components

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

    Unit:(no unit assumed)

    Controllable:No

    Description:The displacement components

  • homogenization_constraintThe UserObject defining the homogenization constraint

    C++ Type:UserObjectName

    Unit:(no unit assumed)

    Controllable:No

    Description:The UserObject defining the homogenization constraint

  • macro_gradientOptional scalar field with the macro gradient

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

    Unit:(no unit assumed)

    Controllable:No

    Description:Optional scalar field with the macro gradient

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

    C++ Type:NonlinearVariableName

    Unit:(no unit assumed)

    Controllable:No

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

Required Parameters

  • base_nameMaterial property base name

    C++ Type:std::string

    Unit:(no unit assumed)

    Controllable:No

    Description:Material property base name

  • blockThe list of blocks (ids or names) that this object will be applied

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

    Unit:(no unit assumed)

    Controllable:No

    Description:The list of blocks (ids or names) that this object will be applied

  • eigenstrain_namesList of eigenstrains used in the strain calculation. Used for computing their derivatives for off-diagonal Jacobian terms.

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

    Unit:(no unit assumed)

    Controllable:No

    Description:List of eigenstrains used in the strain calculation. Used for computing their derivatives for off-diagonal Jacobian terms.

  • large_kinematicsFalseUse large displacement kinematics

    Default:False

    C++ Type:bool

    Unit:(no unit assumed)

    Controllable:No

    Description:Use large displacement kinematics

  • out_of_plane_strainThe out-of-plane strain variable for weak plane stress formulation.

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

    Unit:(no unit assumed)

    Controllable:No

    Description:The out-of-plane strain variable for weak plane stress formulation.

  • 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

    Unit:(no unit assumed)

    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.

  • stabilize_strainFalseAverage the volumetric strains

    Default:False

    C++ Type:bool

    Unit:(no unit assumed)

    Controllable:No

    Description:Average the volumetric strains

  • temperatureThe name of the temperature variable used in the ComputeThermalExpansionEigenstrain. (Not required for simulations without temperature coupling.)

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

    Unit:(no unit assumed)

    Controllable:No

    Description:The name of the temperature variable used in the ComputeThermalExpansionEigenstrain. (Not required for simulations without temperature coupling.)

  • 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

    Unit:(no unit assumed)

    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

  • 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>

    Unit:(no unit assumed)

    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>

    Unit:(no unit assumed)

    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>

    Unit:(no unit assumed)

    Controllable:No

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

  • matrix_tagssystemThe tag for the matrices this Kernel should fill

    Default:system

    C++ Type:MultiMooseEnum

    Unit:(no unit assumed)

    Options:nontime, system

    Controllable:No

    Description:The tag for the matrices this Kernel should fill

  • vector_tagsnontimeThe tag for the vectors this Kernel should fill

    Default:nontime

    C++ Type:MultiMooseEnum

    Unit:(no unit assumed)

    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>

    Unit:(no unit assumed)

    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>

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    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>

    Unit:(no unit assumed)

    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

    Unit:(no unit assumed)

    Controllable:No

    Description:The seed for the master random number generator

Advanced Parameters