- componentWhich direction this kernel acts in
C++ Type:unsigned int
Controllable:No
Description:Which direction this kernel acts in
- constraint_typesType of each constraint: strain, stress, or none. The types are specified in the column-major order, and there must be 9 entries in total.
C++ Type:MultiMooseEnum
Controllable:No
Description:Type of each constraint: strain, stress, or none. The types are specified in the column-major order, and there must be 9 entries in total.
- displacementsThe displacement components
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The displacement components
- targetsFunctions giving the targets to hit for constraint types that are not none.
C++ Type:std::vector<FunctionName>
Unit:(no unit assumed)
Controllable:No
Description:Functions giving the targets to hit for constraint types that are not none.
- 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
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<<<{"href": "../../../syntax/AuxKernels/index.html"}>>>]
[s11]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = s11
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = pk1_stress
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 0
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 0
[]
[s21]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = s21
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = pk1_stress
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 1
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 0
[]
[s31]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = s31
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = pk1_stress
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 2
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 0
[]
[s12]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = s12
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = pk1_stress
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 0
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 1
[]
[s22]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = s22
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = pk1_stress
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 1
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 1
[]
[s32]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = s32
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = pk1_stress
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 2
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 1
[]
[s13]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = s13
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = pk1_stress
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 0
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 2
[]
[s23]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = s23
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = pk1_stress
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 1
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 2
[]
[s33]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = s33
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = pk1_stress
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 2
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 2
[]
[F11]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = F11
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = deformation_gradient
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 0
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 0
[]
[F21]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = F21
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = deformation_gradient
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 1
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 0
[]
[F31]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = F31
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = deformation_gradient
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 2
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 0
[]
[F12]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = F12
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = deformation_gradient
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 0
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 1
[]
[F22]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = F22
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = deformation_gradient
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 1
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 1
[]
[F32]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = F32
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = deformation_gradient
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 2
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 1
[]
[F13]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = F13
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = deformation_gradient
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 0
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 2
[]
[F23]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = F23
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = deformation_gradient
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 1
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 2
[]
[F33]
type = RankTwoAux<<<{"description": "Access a component of a RankTwoTensor", "href": "../../auxkernels/RankTwoAux.html"}>>>
variable<<<{"description": "The name of the variable that this object applies to"}>>> = F33
rank_two_tensor<<<{"description": "The rank two material tensor name"}>>> = deformation_gradient
index_i<<<{"description": "The index i of ij for the tensor to output (0, 1, 2)"}>>> = 2
index_j<<<{"description": "The index j of ij for the tensor to output (0, 1, 2)"}>>> = 2
[]
[]Input Parameters
- base_nameMaterial property base name
C++ Type:std::string
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>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- compute_field_residualsTrueWhether to compute residuals for the field variable.
Default:True
C++ Type:bool
Controllable:No
Description:Whether to compute residuals for the field variable.
- compute_scalar_residualsTrueWhether to compute scalar residuals
Default:True
C++ Type:bool
Controllable:No
Description:Whether to compute scalar residuals
- 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
Controllable:No
Description:Use large displacement kinematics
- macro_varOptional 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
- matrix_onlyFalseWhether this object is only doing assembly to matrices (no vectors)
Default:False
C++ Type:bool
Controllable:No
Description:Whether this object is only doing assembly to matrices (no vectors)
- 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.
- stabilize_strainFalseAverage the volumetric strains
Default:False
C++ Type:bool
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.)
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_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
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
Options:nontime, time
Controllable:No
Description:The tag for the vectors this Kernel should fill
Contribution To Tagged Field Data 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>
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
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>
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
Controllable:No
Description:The seed for the master random number generator
Advanced Parameters
- 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.
- 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.
Material Property Retrieval Parameters
Input Files
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/small-tests/3d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/residual_and_jacobian/3d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/sd-strain.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/planar/generalized_plane_strain/pull_2D.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/large-tests/3d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/large-tests/1d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/small-tests/2d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/neml2/large_neml.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/ld-stress.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/sd-stress.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/small-tests/1d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/large-tests/2d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/action/noaction_2d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/ld-strain.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/action/noaction_3d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/neml2/small_neml.i)
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/large-tests/3d.i)
# 2D test with just strain control
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
macro_gradient = hvar
constraint_types = ${constraint_types}
targets = ${targets}
[]
[Mesh]
[base]
type = FileMeshGenerator
file = '3d.exo'
[]
[sidesets]
type = SideSetsFromNormalsGenerator
input = base
normals = '-1 0 0
1 0 0
0 -1 0
0 1 0
'
' 0 0 -1
0 0 1'
fixed_normal = true
new_boundary = 'left right bottom top back front'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[hvar]
family = SCALAR
order = NINTH
[]
[]
[AuxVariables]
[s11]
family = MONOMIAL
order = CONSTANT
[]
[s21]
family = MONOMIAL
order = CONSTANT
[]
[s31]
family = MONOMIAL
order = CONSTANT
[]
[s12]
family = MONOMIAL
order = CONSTANT
[]
[s22]
family = MONOMIAL
order = CONSTANT
[]
[s32]
family = MONOMIAL
order = CONSTANT
[]
[s13]
family = MONOMIAL
order = CONSTANT
[]
[s23]
family = MONOMIAL
order = CONSTANT
[]
[s33]
family = MONOMIAL
order = CONSTANT
[]
[F11]
family = MONOMIAL
order = CONSTANT
[]
[F21]
family = MONOMIAL
order = CONSTANT
[]
[F31]
family = MONOMIAL
order = CONSTANT
[]
[F12]
family = MONOMIAL
order = CONSTANT
[]
[F22]
family = MONOMIAL
order = CONSTANT
[]
[F32]
family = MONOMIAL
order = CONSTANT
[]
[F13]
family = MONOMIAL
order = CONSTANT
[]
[F23]
family = MONOMIAL
order = CONSTANT
[]
[F33]
family = MONOMIAL
order = CONSTANT
[]
[]
[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
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
scalar_variable = hvar
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
scalar_variable = hvar
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
scalar_variable = hvar
[]
[]
[Functions]
[strain11]
type = ParsedFunction
expression = '8.0e-2*t'
[]
[strain22]
type = ParsedFunction
expression = '-4.0e-2*t'
[]
[strain33]
type = ParsedFunction
expression = '8.0e-2*t'
[]
[strain23]
type = ParsedFunction
expression = '2.0e-2*t'
[]
[strain13]
type = ParsedFunction
expression = '-7.0e-2*t'
[]
[strain12]
type = ParsedFunction
expression = '1.0e-2*t'
[]
[strain32]
type = ParsedFunction
expression = '1.0e-2*t'
[]
[strain31]
type = ParsedFunction
expression = '2.0e-2*t'
[]
[strain21]
type = ParsedFunction
expression = '-1.5e-2*t'
[]
[stress11]
type = ParsedFunction
expression = '4.0e2*t'
[]
[stress22]
type = ParsedFunction
expression = '-2.0e2*t'
[]
[stress33]
type = ParsedFunction
expression = '8.0e2*t'
[]
[stress23]
type = ParsedFunction
expression = '2.0e2*t'
[]
[stress13]
type = ParsedFunction
expression = '-7.0e2*t'
[]
[stress12]
type = ParsedFunction
expression = '1.0e2*t'
[]
[stress32]
type = ParsedFunction
expression = '1.0e2*t'
[]
[stress31]
type = ParsedFunction
expression = '2.0e2*t'
[]
[stress21]
type = ParsedFunction
expression = '-1.5e2*t'
[]
[]
[BCs]
[Periodic]
[x]
variable = disp_x
auto_direction = 'x y z'
[]
[y]
variable = disp_y
auto_direction = 'x y z'
[]
[z]
variable = disp_z
auto_direction = 'x y z'
[]
[]
[fix1_x]
type = DirichletBC
boundary = "fix_all"
variable = disp_x
value = 0
[]
[fix1_y]
type = DirichletBC
boundary = "fix_all"
variable = disp_y
value = 0
[]
[fix1_z]
type = DirichletBC
boundary = "fix_all"
variable = disp_z
value = 0
[]
[fix2_x]
type = DirichletBC
boundary = "fix_xy"
variable = disp_x
value = 0
[]
[fix2_y]
type = DirichletBC
boundary = "fix_xy"
variable = disp_y
value = 0
[]
[fix3_z]
type = DirichletBC
boundary = "fix_z"
variable = disp_z
value = 0
[]
[]
[Materials]
[elastic_tensor_1]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
block = '1'
[]
[elastic_tensor_2]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 120000.0
poissons_ratio = 0.21
block = '2'
[]
[elastic_tensor_3]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 80000.0
poissons_ratio = 0.4
block = '3'
[]
[elastic_tensor_4]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 76000.0
poissons_ratio = 0.11
block = '4'
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
[]
[]
[Postprocessors]
[s11]
type = ElementAverageValue
variable = s11
execute_on = 'initial timestep_end'
[]
[s21]
type = ElementAverageValue
variable = s21
execute_on = 'initial timestep_end'
[]
[s31]
type = ElementAverageValue
variable = s31
execute_on = 'initial timestep_end'
[]
[s12]
type = ElementAverageValue
variable = s12
execute_on = 'initial timestep_end'
[]
[s22]
type = ElementAverageValue
variable = s22
execute_on = 'initial timestep_end'
[]
[s32]
type = ElementAverageValue
variable = s32
execute_on = 'initial timestep_end'
[]
[s13]
type = ElementAverageValue
variable = s13
execute_on = 'initial timestep_end'
[]
[s23]
type = ElementAverageValue
variable = s23
execute_on = 'initial timestep_end'
[]
[s33]
type = ElementAverageValue
variable = s33
execute_on = 'initial timestep_end'
[]
[F11]
type = ElementAverageValue
variable = F11
execute_on = 'initial timestep_end'
[]
[F21]
type = ElementAverageValue
variable = F21
execute_on = 'initial timestep_end'
[]
[F31]
type = ElementAverageValue
variable = F31
execute_on = 'initial timestep_end'
[]
[F12]
type = ElementAverageValue
variable = F12
execute_on = 'initial timestep_end'
[]
[F22]
type = ElementAverageValue
variable = F22
execute_on = 'initial timestep_end'
[]
[F32]
type = ElementAverageValue
variable = F32
execute_on = 'initial timestep_end'
[]
[F13]
type = ElementAverageValue
variable = F13
execute_on = 'initial timestep_end'
[]
[F23]
type = ElementAverageValue
variable = F23
execute_on = 'initial timestep_end'
[]
[F33]
type = ElementAverageValue
variable = F33
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
line_search = none
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 10
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Outputs]
csv = true
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/small-tests/3d.i)
# 2D test with just strain control
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
macro_gradient = hvar
constraint_types = ${constraint_types}
targets = ${targets}
[]
[Mesh]
[base]
type = FileMeshGenerator
file = '3d.exo'
[]
[sidesets]
type = SideSetsFromNormalsGenerator
input = base
normals = '-1 0 0
1 0 0
0 -1 0
0 1 0
'
' 0 0 -1
0 0 1'
fixed_normal = true
new_boundary = 'left right bottom top back front'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[hvar]
family = SCALAR
order = SIXTH
[]
[]
[AuxVariables]
[sxx]
family = MONOMIAL
order = CONSTANT
[]
[syy]
family = MONOMIAL
order = CONSTANT
[]
[sxy]
family = MONOMIAL
order = CONSTANT
[]
[szz]
family = MONOMIAL
order = CONSTANT
[]
[syz]
family = MONOMIAL
order = CONSTANT
[]
[sxz]
family = MONOMIAL
order = CONSTANT
[]
[exx]
family = MONOMIAL
order = CONSTANT
[]
[eyy]
family = MONOMIAL
order = CONSTANT
[]
[exy]
family = MONOMIAL
order = CONSTANT
[]
[ezz]
family = MONOMIAL
order = CONSTANT
[]
[eyz]
family = MONOMIAL
order = CONSTANT
[]
[exz]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[sxx]
type = RankTwoAux
variable = sxx
rank_two_tensor = pk1_stress
index_i = 0
index_j = 0
[]
[syy]
type = RankTwoAux
variable = syy
rank_two_tensor = pk1_stress
index_i = 1
index_j = 1
[]
[sxy]
type = RankTwoAux
variable = sxy
rank_two_tensor = pk1_stress
index_i = 0
index_j = 1
[]
[zz]
type = RankTwoAux
variable = szz
rank_two_tensor = pk1_stress
index_i = 2
index_j = 2
[]
[syz]
type = RankTwoAux
variable = syz
rank_two_tensor = pk1_stress
index_i = 1
index_j = 2
[]
[sxz]
type = RankTwoAux
variable = sxz
rank_two_tensor = pk1_stress
index_i = 0
index_j = 2
[]
[exx]
type = RankTwoAux
variable = exx
rank_two_tensor = mechanical_strain
index_i = 0
index_j = 0
[]
[eyy]
type = RankTwoAux
variable = eyy
rank_two_tensor = mechanical_strain
index_i = 1
index_j = 1
[]
[exy]
type = RankTwoAux
variable = exy
rank_two_tensor = mechanical_strain
index_i = 0
index_j = 1
[]
[ezz]
type = RankTwoAux
variable = ezz
rank_two_tensor = mechanical_strain
index_i = 2
index_j = 2
[]
[eyz]
type = RankTwoAux
variable = eyz
rank_two_tensor = mechanical_strain
index_i = 1
index_j = 2
[]
[exz]
type = RankTwoAux
variable = exz
rank_two_tensor = mechanical_strain
index_i = 0
index_j = 2
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
scalar_variable = hvar
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
scalar_variable = hvar
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
scalar_variable = hvar
[]
[]
[Functions]
[strain11]
type = ParsedFunction
expression = '4.0e-2*t'
[]
[strain22]
type = ParsedFunction
expression = '-2.0e-2*t'
[]
[strain33]
type = ParsedFunction
expression = '8.0e-2*t'
[]
[strain23]
type = ParsedFunction
expression = '2.0e-2*t'
[]
[strain13]
type = ParsedFunction
expression = '-7.0e-2*t'
[]
[strain12]
type = ParsedFunction
expression = '1.0e-2*t'
[]
[stress11]
type = ParsedFunction
expression = '4.0e2*t'
[]
[stress22]
type = ParsedFunction
expression = '-2.0e2*t'
[]
[stress33]
type = ParsedFunction
expression = '8.0e2*t'
[]
[stress23]
type = ParsedFunction
expression = '2.0e2*t'
[]
[stress13]
type = ParsedFunction
expression = '-7.0e2*t'
[]
[stress12]
type = ParsedFunction
expression = '1.0e2*t'
[]
[]
[BCs]
[Periodic]
[x]
variable = disp_x
auto_direction = 'x y z'
[]
[y]
variable = disp_y
auto_direction = 'x y z'
[]
[z]
variable = disp_z
auto_direction = 'x y z'
[]
[]
[fix1_x]
type = DirichletBC
boundary = "fix_all"
variable = disp_x
value = 0
[]
[fix1_y]
type = DirichletBC
boundary = "fix_all"
variable = disp_y
value = 0
[]
[fix1_z]
type = DirichletBC
boundary = "fix_all"
variable = disp_z
value = 0
[]
[fix2_x]
type = DirichletBC
boundary = "fix_xy"
variable = disp_x
value = 0
[]
[fix2_y]
type = DirichletBC
boundary = "fix_xy"
variable = disp_y
value = 0
[]
[fix3_z]
type = DirichletBC
boundary = "fix_z"
variable = disp_z
value = 0
[]
[]
[Materials]
[elastic_tensor_1]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
block = '1'
[]
[elastic_tensor_2]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 120000.0
poissons_ratio = 0.21
block = '2'
[]
[elastic_tensor_3]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 80000.0
poissons_ratio = 0.4
block = '3'
[]
[elastic_tensor_4]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 76000.0
poissons_ratio = 0.11
block = '4'
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
[]
[]
[Postprocessors]
[sxx]
type = ElementAverageValue
variable = sxx
execute_on = 'initial timestep_end'
[]
[syy]
type = ElementAverageValue
variable = syy
execute_on = 'initial timestep_end'
[]
[sxy]
type = ElementAverageValue
variable = sxy
execute_on = 'initial timestep_end'
[]
[szz]
type = ElementAverageValue
variable = szz
execute_on = 'initial timestep_end'
[]
[syz]
type = ElementAverageValue
variable = syz
execute_on = 'initial timestep_end'
[]
[sxz]
type = ElementAverageValue
variable = sxz
execute_on = 'initial timestep_end'
[]
[exx]
type = ElementAverageValue
variable = exx
execute_on = 'initial timestep_end'
[]
[eyy]
type = ElementAverageValue
variable = eyy
execute_on = 'initial timestep_end'
[]
[exy]
type = ElementAverageValue
variable = exy
execute_on = 'initial timestep_end'
[]
[ezz]
type = ElementAverageValue
variable = ezz
execute_on = 'initial timestep_end'
[]
[eyz]
type = ElementAverageValue
variable = eyz
execute_on = 'initial timestep_end'
[]
[exz]
type = ElementAverageValue
variable = exz
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
line_search = none
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 10
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Outputs]
csv = true
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/residual_and_jacobian/3d.i)
# 2D test with just strain control
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
macro_gradient = hvar
constraint_types = ${constraint_types}
targets = ${targets}
[]
[Mesh]
[base]
type = FileMeshGenerator
file = '3d.exo'
[]
[sidesets]
type = SideSetsFromNormalsGenerator
input = base
normals = '-1 0 0
1 0 0
0 -1 0
0 1 0
'
' 0 0 -1
0 0 1'
fixed_normal = true
new_boundary = 'left right bottom top back front'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[hvar]
family = SCALAR
order = NINTH
[]
[]
[AuxVariables]
[s11]
family = MONOMIAL
order = CONSTANT
[]
[s21]
family = MONOMIAL
order = CONSTANT
[]
[s31]
family = MONOMIAL
order = CONSTANT
[]
[s12]
family = MONOMIAL
order = CONSTANT
[]
[s22]
family = MONOMIAL
order = CONSTANT
[]
[s32]
family = MONOMIAL
order = CONSTANT
[]
[s13]
family = MONOMIAL
order = CONSTANT
[]
[s23]
family = MONOMIAL
order = CONSTANT
[]
[s33]
family = MONOMIAL
order = CONSTANT
[]
[F11]
family = MONOMIAL
order = CONSTANT
[]
[F21]
family = MONOMIAL
order = CONSTANT
[]
[F31]
family = MONOMIAL
order = CONSTANT
[]
[F12]
family = MONOMIAL
order = CONSTANT
[]
[F22]
family = MONOMIAL
order = CONSTANT
[]
[F32]
family = MONOMIAL
order = CONSTANT
[]
[F13]
family = MONOMIAL
order = CONSTANT
[]
[F23]
family = MONOMIAL
order = CONSTANT
[]
[F33]
family = MONOMIAL
order = CONSTANT
[]
[]
[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
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
scalar_variable = hvar
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
scalar_variable = hvar
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
scalar_variable = hvar
[]
[]
[Functions]
[strain11]
type = ParsedFunction
expression = '8.0e-2*t'
[]
[strain22]
type = ParsedFunction
expression = '-4.0e-2*t'
[]
[strain33]
type = ParsedFunction
expression = '8.0e-2*t'
[]
[strain23]
type = ParsedFunction
expression = '2.0e-2*t'
[]
[strain13]
type = ParsedFunction
expression = '-7.0e-2*t'
[]
[strain12]
type = ParsedFunction
expression = '1.0e-2*t'
[]
[strain32]
type = ParsedFunction
expression = '1.0e-2*t'
[]
[strain31]
type = ParsedFunction
expression = '2.0e-2*t'
[]
[strain21]
type = ParsedFunction
expression = '-1.5e-2*t'
[]
[stress11]
type = ParsedFunction
expression = '4.0e2*t'
[]
[stress22]
type = ParsedFunction
expression = '-2.0e2*t'
[]
[stress33]
type = ParsedFunction
expression = '8.0e2*t'
[]
[stress23]
type = ParsedFunction
expression = '2.0e2*t'
[]
[stress13]
type = ParsedFunction
expression = '-7.0e2*t'
[]
[stress12]
type = ParsedFunction
expression = '1.0e2*t'
[]
[stress32]
type = ParsedFunction
expression = '1.0e2*t'
[]
[stress31]
type = ParsedFunction
expression = '2.0e2*t'
[]
[stress21]
type = ParsedFunction
expression = '-1.5e2*t'
[]
[]
[BCs]
[Periodic]
[x]
variable = disp_x
auto_direction = 'x y z'
[]
[y]
variable = disp_y
auto_direction = 'x y z'
[]
[z]
variable = disp_z
auto_direction = 'x y z'
[]
[]
[fix1_x]
type = DirichletBC
boundary = "fix_all"
variable = disp_x
value = 0
[]
[fix1_y]
type = DirichletBC
boundary = "fix_all"
variable = disp_y
value = 0
[]
[fix1_z]
type = DirichletBC
boundary = "fix_all"
variable = disp_z
value = 0
[]
[fix2_x]
type = DirichletBC
boundary = "fix_xy"
variable = disp_x
value = 0
[]
[fix2_y]
type = DirichletBC
boundary = "fix_xy"
variable = disp_y
value = 0
[]
[fix3_z]
type = DirichletBC
boundary = "fix_z"
variable = disp_z
value = 0
[]
[]
[Materials]
[elastic_tensor_1]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
block = '1'
[]
[elastic_tensor_2]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 120000.0
poissons_ratio = 0.21
block = '2'
[]
[elastic_tensor_3]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 80000.0
poissons_ratio = 0.4
block = '3'
[]
[elastic_tensor_4]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 76000.0
poissons_ratio = 0.11
block = '4'
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
[]
[]
[Postprocessors]
[s11]
type = ElementAverageValue
variable = s11
execute_on = 'initial timestep_end'
[]
[s21]
type = ElementAverageValue
variable = s21
execute_on = 'initial timestep_end'
[]
[s31]
type = ElementAverageValue
variable = s31
execute_on = 'initial timestep_end'
[]
[s12]
type = ElementAverageValue
variable = s12
execute_on = 'initial timestep_end'
[]
[s22]
type = ElementAverageValue
variable = s22
execute_on = 'initial timestep_end'
[]
[s32]
type = ElementAverageValue
variable = s32
execute_on = 'initial timestep_end'
[]
[s13]
type = ElementAverageValue
variable = s13
execute_on = 'initial timestep_end'
[]
[s23]
type = ElementAverageValue
variable = s23
execute_on = 'initial timestep_end'
[]
[s33]
type = ElementAverageValue
variable = s33
execute_on = 'initial timestep_end'
[]
[F11]
type = ElementAverageValue
variable = F11
execute_on = 'initial timestep_end'
[]
[F21]
type = ElementAverageValue
variable = F21
execute_on = 'initial timestep_end'
[]
[F31]
type = ElementAverageValue
variable = F31
execute_on = 'initial timestep_end'
[]
[F12]
type = ElementAverageValue
variable = F12
execute_on = 'initial timestep_end'
[]
[F22]
type = ElementAverageValue
variable = F22
execute_on = 'initial timestep_end'
[]
[F32]
type = ElementAverageValue
variable = F32
execute_on = 'initial timestep_end'
[]
[F13]
type = ElementAverageValue
variable = F13
execute_on = 'initial timestep_end'
[]
[F23]
type = ElementAverageValue
variable = F23
execute_on = 'initial timestep_end'
[]
[F33]
type = ElementAverageValue
variable = F33
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
residual_and_jacobian_together = true
solve_type = 'newton'
line_search = none
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 10
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Outputs]
csv = true
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/sd-strain.i)
# 2D test with just strain control
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
constraint_types = 'strain none none strain strain none strain strain strain'
targets = 'strain11 strain12 strain22 strain13 strain23 strain33'
macro_gradient = hvar
[]
[Mesh]
[base]
type = FileMeshGenerator
file = '3d.exo'
[]
[sidesets]
type = SideSetsFromNormalsGenerator
input = base
normals = '-1 0 0
1 0 0
0 -1 0
0 1 0
'
' 0 0 -1
0 0 1'
fixed_normal = true
new_boundary = 'left right bottom top back front'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[hvar]
family = SCALAR
order = SIXTH
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[hvar]
type = ScalarConstantIC
variable = hvar
value = 0.1
[]
[]
[AuxVariables]
[sxx]
family = MONOMIAL
order = CONSTANT
[]
[syy]
family = MONOMIAL
order = CONSTANT
[]
[sxy]
family = MONOMIAL
order = CONSTANT
[]
[szz]
family = MONOMIAL
order = CONSTANT
[]
[syz]
family = MONOMIAL
order = CONSTANT
[]
[sxz]
family = MONOMIAL
order = CONSTANT
[]
[exx]
family = MONOMIAL
order = CONSTANT
[]
[eyy]
family = MONOMIAL
order = CONSTANT
[]
[exy]
family = MONOMIAL
order = CONSTANT
[]
[ezz]
family = MONOMIAL
order = CONSTANT
[]
[eyz]
family = MONOMIAL
order = CONSTANT
[]
[exz]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[sxx]
type = RankTwoAux
variable = sxx
rank_two_tensor = pk1_stress
index_i = 0
index_j = 0
[]
[syy]
type = RankTwoAux
variable = syy
rank_two_tensor = pk1_stress
index_i = 1
index_j = 1
[]
[sxy]
type = RankTwoAux
variable = sxy
rank_two_tensor = pk1_stress
index_i = 0
index_j = 1
[]
[zz]
type = RankTwoAux
variable = szz
rank_two_tensor = pk1_stress
index_i = 2
index_j = 2
[]
[syz]
type = RankTwoAux
variable = syz
rank_two_tensor = pk1_stress
index_i = 1
index_j = 2
[]
[sxz]
type = RankTwoAux
variable = sxz
rank_two_tensor = pk1_stress
index_i = 0
index_j = 2
[]
[exx]
type = RankTwoAux
variable = exx
rank_two_tensor = mechanical_strain
index_i = 0
index_j = 0
[]
[eyy]
type = RankTwoAux
variable = eyy
rank_two_tensor = mechanical_strain
index_i = 1
index_j = 1
[]
[exy]
type = RankTwoAux
variable = exy
rank_two_tensor = mechanical_strain
index_i = 0
index_j = 1
[]
[ezz]
type = RankTwoAux
variable = ezz
rank_two_tensor = mechanical_strain
index_i = 2
index_j = 2
[]
[eyz]
type = RankTwoAux
variable = eyz
rank_two_tensor = mechanical_strain
index_i = 1
index_j = 2
[]
[exz]
type = RankTwoAux
variable = exz
rank_two_tensor = mechanical_strain
index_i = 0
index_j = 2
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
scalar_variable = hvar
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
scalar_variable = hvar
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
scalar_variable = hvar
[]
[]
[Functions]
[strain11]
type = ParsedFunction
expression = '4.0e-2*t'
[]
[strain22]
type = ParsedFunction
expression = '-2.0e-2*t'
[]
[strain33]
type = ParsedFunction
expression = '8.0e-2*t'
[]
[strain23]
type = ParsedFunction
expression = '2.0e-2*t'
[]
[strain13]
type = ParsedFunction
expression = '-7.0e-2*t'
[]
[strain12]
type = ParsedFunction
expression = '1.0e-2*t'
[]
[]
[BCs]
[Periodic]
[x]
variable = disp_x
auto_direction = 'x y z'
[]
[y]
variable = disp_y
auto_direction = 'x y z'
[]
[z]
variable = disp_z
auto_direction = 'x y z'
[]
[]
[fix1_x]
type = DirichletBC
boundary = "fix_all"
variable = disp_x
value = 0
[]
[fix1_y]
type = DirichletBC
boundary = "fix_all"
variable = disp_y
value = 0
[]
[fix1_z]
type = DirichletBC
boundary = "fix_all"
variable = disp_z
value = 0
[]
[fix2_x]
type = DirichletBC
boundary = "fix_xy"
variable = disp_x
value = 0
[]
[fix2_y]
type = DirichletBC
boundary = "fix_xy"
variable = disp_y
value = 0
[]
[fix3_z]
type = DirichletBC
boundary = "fix_z"
variable = disp_z
value = 0
[]
[]
[Materials]
[elastic_tensor_1]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
block = '1'
[]
[elastic_tensor_2]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 120000.0
poissons_ratio = 0.21
block = '2'
[]
[elastic_tensor_3]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 80000.0
poissons_ratio = 0.4
block = '3'
[]
[elastic_tensor_4]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 76000.0
poissons_ratio = 0.11
block = '4'
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Postprocessors]
[sxx]
type = ElementAverageValue
variable = sxx
execute_on = 'initial timestep_end'
[]
[syy]
type = ElementAverageValue
variable = syy
execute_on = 'initial timestep_end'
[]
[sxy]
type = ElementAverageValue
variable = sxy
execute_on = 'initial timestep_end'
[]
[szz]
type = ElementAverageValue
variable = szz
execute_on = 'initial timestep_end'
[]
[syz]
type = ElementAverageValue
variable = syz
execute_on = 'initial timestep_end'
[]
[sxz]
type = ElementAverageValue
variable = sxz
execute_on = 'initial timestep_end'
[]
[exx]
type = ElementAverageValue
variable = exx
execute_on = 'initial timestep_end'
[]
[eyy]
type = ElementAverageValue
variable = eyy
execute_on = 'initial timestep_end'
[]
[exy]
type = ElementAverageValue
variable = exy
execute_on = 'initial timestep_end'
[]
[ezz]
type = ElementAverageValue
variable = ezz
execute_on = 'initial timestep_end'
[]
[eyz]
type = ElementAverageValue
variable = eyz
execute_on = 'initial timestep_end'
[]
[exz]
type = ElementAverageValue
variable = exz
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
line_search = none
#automatic_scaling = true
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 10
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 0.2
[]
[Outputs]
exodus = false
csv = false
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/planar/generalized_plane_strain/pull_2D.i)
constraint_types = 'none none none none none none none none strain'
targets = '0'
[GlobalParams]
displacements = 'disp_x disp_y'
large_kinematics = true
stabilize_strain = true
macro_gradient = hvar
constraint_types = ${constraint_types}
targets = ${targets}
[]
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 5
ny = 5
[]
use_displaced_mesh = false
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[hvar]
family = SCALAR
order = FIRST
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
scalar_variable = hvar
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
scalar_variable = hvar
[]
[]
[BCs]
[fix_x]
type = DirichletBC
variable = disp_x
boundary = 'top bottom'
value = 0
[]
[fix_y]
type = DirichletBC
variable = disp_y
boundary = 'bottom'
value = 0
[]
[disp_y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'top'
function = 't'
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1000.0
poissons_ratio = 0.25
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
[]
[stress]
type = ComputeLagrangianLinearElasticStress
[]
[stress_zz]
type = RankTwoCartesianComponent
rank_two_tensor = cauchy_stress
index_i = 2
index_j = 2
property_name = stress_zz
[]
[strain_zz]
type = RankTwoCartesianComponent
rank_two_tensor = mechanical_strain
index_i = 2
index_j = 2
property_name = strain_zz
[]
[]
[Executioner]
type = Transient
dt = 0.01
end_time = 0.1
solve_type = 'newton'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
nl_abs_tol = 1e-10
nl_rel_tol = 1e-10
[]
[Postprocessors]
[strain_zz]
type = ElementAverageMaterialProperty
mat_prop = strain_zz
[]
[stress_zz]
type = ElementAverageMaterialProperty
mat_prop = stress_zz
[]
[]
[Outputs]
csv = true
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/large-tests/3d.i)
# 2D test with just strain control
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
macro_gradient = hvar
constraint_types = ${constraint_types}
targets = ${targets}
[]
[Mesh]
[base]
type = FileMeshGenerator
file = '3d.exo'
[]
[sidesets]
type = SideSetsFromNormalsGenerator
input = base
normals = '-1 0 0
1 0 0
0 -1 0
0 1 0
'
' 0 0 -1
0 0 1'
fixed_normal = true
new_boundary = 'left right bottom top back front'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[hvar]
family = SCALAR
order = NINTH
[]
[]
[AuxVariables]
[s11]
family = MONOMIAL
order = CONSTANT
[]
[s21]
family = MONOMIAL
order = CONSTANT
[]
[s31]
family = MONOMIAL
order = CONSTANT
[]
[s12]
family = MONOMIAL
order = CONSTANT
[]
[s22]
family = MONOMIAL
order = CONSTANT
[]
[s32]
family = MONOMIAL
order = CONSTANT
[]
[s13]
family = MONOMIAL
order = CONSTANT
[]
[s23]
family = MONOMIAL
order = CONSTANT
[]
[s33]
family = MONOMIAL
order = CONSTANT
[]
[F11]
family = MONOMIAL
order = CONSTANT
[]
[F21]
family = MONOMIAL
order = CONSTANT
[]
[F31]
family = MONOMIAL
order = CONSTANT
[]
[F12]
family = MONOMIAL
order = CONSTANT
[]
[F22]
family = MONOMIAL
order = CONSTANT
[]
[F32]
family = MONOMIAL
order = CONSTANT
[]
[F13]
family = MONOMIAL
order = CONSTANT
[]
[F23]
family = MONOMIAL
order = CONSTANT
[]
[F33]
family = MONOMIAL
order = CONSTANT
[]
[]
[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
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
scalar_variable = hvar
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
scalar_variable = hvar
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
scalar_variable = hvar
[]
[]
[Functions]
[strain11]
type = ParsedFunction
expression = '8.0e-2*t'
[]
[strain22]
type = ParsedFunction
expression = '-4.0e-2*t'
[]
[strain33]
type = ParsedFunction
expression = '8.0e-2*t'
[]
[strain23]
type = ParsedFunction
expression = '2.0e-2*t'
[]
[strain13]
type = ParsedFunction
expression = '-7.0e-2*t'
[]
[strain12]
type = ParsedFunction
expression = '1.0e-2*t'
[]
[strain32]
type = ParsedFunction
expression = '1.0e-2*t'
[]
[strain31]
type = ParsedFunction
expression = '2.0e-2*t'
[]
[strain21]
type = ParsedFunction
expression = '-1.5e-2*t'
[]
[stress11]
type = ParsedFunction
expression = '4.0e2*t'
[]
[stress22]
type = ParsedFunction
expression = '-2.0e2*t'
[]
[stress33]
type = ParsedFunction
expression = '8.0e2*t'
[]
[stress23]
type = ParsedFunction
expression = '2.0e2*t'
[]
[stress13]
type = ParsedFunction
expression = '-7.0e2*t'
[]
[stress12]
type = ParsedFunction
expression = '1.0e2*t'
[]
[stress32]
type = ParsedFunction
expression = '1.0e2*t'
[]
[stress31]
type = ParsedFunction
expression = '2.0e2*t'
[]
[stress21]
type = ParsedFunction
expression = '-1.5e2*t'
[]
[]
[BCs]
[Periodic]
[x]
variable = disp_x
auto_direction = 'x y z'
[]
[y]
variable = disp_y
auto_direction = 'x y z'
[]
[z]
variable = disp_z
auto_direction = 'x y z'
[]
[]
[fix1_x]
type = DirichletBC
boundary = "fix_all"
variable = disp_x
value = 0
[]
[fix1_y]
type = DirichletBC
boundary = "fix_all"
variable = disp_y
value = 0
[]
[fix1_z]
type = DirichletBC
boundary = "fix_all"
variable = disp_z
value = 0
[]
[fix2_x]
type = DirichletBC
boundary = "fix_xy"
variable = disp_x
value = 0
[]
[fix2_y]
type = DirichletBC
boundary = "fix_xy"
variable = disp_y
value = 0
[]
[fix3_z]
type = DirichletBC
boundary = "fix_z"
variable = disp_z
value = 0
[]
[]
[Materials]
[elastic_tensor_1]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
block = '1'
[]
[elastic_tensor_2]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 120000.0
poissons_ratio = 0.21
block = '2'
[]
[elastic_tensor_3]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 80000.0
poissons_ratio = 0.4
block = '3'
[]
[elastic_tensor_4]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 76000.0
poissons_ratio = 0.11
block = '4'
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
[]
[]
[Postprocessors]
[s11]
type = ElementAverageValue
variable = s11
execute_on = 'initial timestep_end'
[]
[s21]
type = ElementAverageValue
variable = s21
execute_on = 'initial timestep_end'
[]
[s31]
type = ElementAverageValue
variable = s31
execute_on = 'initial timestep_end'
[]
[s12]
type = ElementAverageValue
variable = s12
execute_on = 'initial timestep_end'
[]
[s22]
type = ElementAverageValue
variable = s22
execute_on = 'initial timestep_end'
[]
[s32]
type = ElementAverageValue
variable = s32
execute_on = 'initial timestep_end'
[]
[s13]
type = ElementAverageValue
variable = s13
execute_on = 'initial timestep_end'
[]
[s23]
type = ElementAverageValue
variable = s23
execute_on = 'initial timestep_end'
[]
[s33]
type = ElementAverageValue
variable = s33
execute_on = 'initial timestep_end'
[]
[F11]
type = ElementAverageValue
variable = F11
execute_on = 'initial timestep_end'
[]
[F21]
type = ElementAverageValue
variable = F21
execute_on = 'initial timestep_end'
[]
[F31]
type = ElementAverageValue
variable = F31
execute_on = 'initial timestep_end'
[]
[F12]
type = ElementAverageValue
variable = F12
execute_on = 'initial timestep_end'
[]
[F22]
type = ElementAverageValue
variable = F22
execute_on = 'initial timestep_end'
[]
[F32]
type = ElementAverageValue
variable = F32
execute_on = 'initial timestep_end'
[]
[F13]
type = ElementAverageValue
variable = F13
execute_on = 'initial timestep_end'
[]
[F23]
type = ElementAverageValue
variable = F23
execute_on = 'initial timestep_end'
[]
[F33]
type = ElementAverageValue
variable = F33
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
line_search = none
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 10
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Outputs]
csv = true
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/large-tests/1d.i)
# 1D strain controlled test
[GlobalParams]
displacements = 'disp_x'
large_kinematics = true
macro_gradient = hvar
constraint_types = ${constraint_types}
targets = ${targets}
[]
[Mesh]
[base]
type = FileMeshGenerator
file = '1d.exo'
[]
[ss]
type = SideSetsFromPointsGenerator
input = base
points = '-1 0 0
7 0 0'
new_boundary = 'left right'
[]
[]
[Variables]
[disp_x]
[]
[hvar]
family = SCALAR
order = FIRST
[]
[]
[AuxVariables]
[s11]
family = MONOMIAL
order = CONSTANT
[]
[s21]
family = MONOMIAL
order = CONSTANT
[]
[s31]
family = MONOMIAL
order = CONSTANT
[]
[s12]
family = MONOMIAL
order = CONSTANT
[]
[s22]
family = MONOMIAL
order = CONSTANT
[]
[s32]
family = MONOMIAL
order = CONSTANT
[]
[s13]
family = MONOMIAL
order = CONSTANT
[]
[s23]
family = MONOMIAL
order = CONSTANT
[]
[s33]
family = MONOMIAL
order = CONSTANT
[]
[F11]
family = MONOMIAL
order = CONSTANT
[]
[F21]
family = MONOMIAL
order = CONSTANT
[]
[F31]
family = MONOMIAL
order = CONSTANT
[]
[F12]
family = MONOMIAL
order = CONSTANT
[]
[F22]
family = MONOMIAL
order = CONSTANT
[]
[F32]
family = MONOMIAL
order = CONSTANT
[]
[F13]
family = MONOMIAL
order = CONSTANT
[]
[F23]
family = MONOMIAL
order = CONSTANT
[]
[F33]
family = MONOMIAL
order = CONSTANT
[]
[]
[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
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
scalar_variable = hvar
[]
[]
[Functions]
[func_stress]
type = ParsedFunction
expression = '400*t'
[]
[func_strain]
type = ParsedFunction
expression = '4.0e-1*t'
[]
[]
[BCs]
[Periodic]
[all]
variable = disp_x
auto_direction = 'x'
[]
[]
[centerfix_x]
type = DirichletBC
boundary = "fixme"
variable = disp_x
value = 0
[]
[]
[Materials]
[elastic_tensor_1]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
block = '1'
[]
[elastic_tensor_2]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 120000.0
poissons_ratio = 0.21
block = '2'
[]
[elastic_tensor_3]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 80000.0
poissons_ratio = 0.4
block = '3'
[]
[elastic_tensor_4]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 76000.0
poissons_ratio = 0.11
block = '4'
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
[]
[]
[Postprocessors]
[s11]
type = ElementAverageValue
variable = s11
execute_on = 'initial timestep_end'
[]
[s21]
type = ElementAverageValue
variable = s21
execute_on = 'initial timestep_end'
[]
[s31]
type = ElementAverageValue
variable = s31
execute_on = 'initial timestep_end'
[]
[s12]
type = ElementAverageValue
variable = s12
execute_on = 'initial timestep_end'
[]
[s22]
type = ElementAverageValue
variable = s22
execute_on = 'initial timestep_end'
[]
[s32]
type = ElementAverageValue
variable = s32
execute_on = 'initial timestep_end'
[]
[s13]
type = ElementAverageValue
variable = s13
execute_on = 'initial timestep_end'
[]
[s23]
type = ElementAverageValue
variable = s23
execute_on = 'initial timestep_end'
[]
[s33]
type = ElementAverageValue
variable = s33
execute_on = 'initial timestep_end'
[]
[F11]
type = ElementAverageValue
variable = F11
execute_on = 'initial timestep_end'
[]
[F21]
type = ElementAverageValue
variable = F21
execute_on = 'initial timestep_end'
[]
[F31]
type = ElementAverageValue
variable = F31
execute_on = 'initial timestep_end'
[]
[F12]
type = ElementAverageValue
variable = F12
execute_on = 'initial timestep_end'
[]
[F22]
type = ElementAverageValue
variable = F22
execute_on = 'initial timestep_end'
[]
[F32]
type = ElementAverageValue
variable = F32
execute_on = 'initial timestep_end'
[]
[F13]
type = ElementAverageValue
variable = F13
execute_on = 'initial timestep_end'
[]
[F23]
type = ElementAverageValue
variable = F23
execute_on = 'initial timestep_end'
[]
[F33]
type = ElementAverageValue
variable = F33
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
line_search = default
automatic_scaling = true
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 15
nl_rel_tol = 1e-6
nl_abs_tol = 1e-8
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Outputs]
exodus = false
csv = true
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/small-tests/2d.i)
# 2D with mixed conditions on stress/strain
[GlobalParams]
displacements = 'disp_x disp_y'
large_kinematics = false
macro_gradient = hvar
constraint_types = ${constraint_types}
targets = ${targets}
[]
[Mesh]
[base]
type = FileMeshGenerator
file = '2d.exo'
[]
[sidesets]
type = SideSetsFromNormalsGenerator
input = base
normals = '-1 0 0
1 0 0
0 -1 0
0 1 0'
fixed_normal = true
new_boundary = 'left right bottom top'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[hvar]
family = SCALAR
order = THIRD
[]
[]
[AuxVariables]
[sxx]
family = MONOMIAL
order = CONSTANT
[]
[syy]
family = MONOMIAL
order = CONSTANT
[]
[sxy]
family = MONOMIAL
order = CONSTANT
[]
[exx]
family = MONOMIAL
order = CONSTANT
[]
[eyy]
family = MONOMIAL
order = CONSTANT
[]
[exy]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[sxx]
type = RankTwoAux
variable = sxx
rank_two_tensor = pk1_stress
index_i = 0
index_j = 0
[]
[syy]
type = RankTwoAux
variable = syy
rank_two_tensor = pk1_stress
index_i = 1
index_j = 1
[]
[sxy]
type = RankTwoAux
variable = sxy
rank_two_tensor = pk1_stress
index_i = 0
index_j = 1
[]
[exx]
type = RankTwoAux
variable = exx
rank_two_tensor = mechanical_strain
index_i = 0
index_j = 0
[]
[eyy]
type = RankTwoAux
variable = eyy
rank_two_tensor = mechanical_strain
index_i = 1
index_j = 1
[]
[exy]
type = RankTwoAux
variable = exy
rank_two_tensor = mechanical_strain
index_i = 0
index_j = 1
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
scalar_variable = hvar
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
scalar_variable = hvar
[]
[]
[Functions]
[strain11]
type = ParsedFunction
expression = '4.0e-2*t'
[]
[strain22]
type = ParsedFunction
expression = '-2.0e-2*t'
[]
[strain12]
type = ParsedFunction
expression = '1.0e-2*t'
[]
[stress11]
type = ParsedFunction
expression = '400*t'
[]
[stress22]
type = ParsedFunction
expression = '-200*t'
[]
[stress12]
type = ParsedFunction
expression = '100*t'
[]
[]
[BCs]
[Periodic]
[x]
variable = disp_x
auto_direction = 'x y'
[]
[y]
variable = disp_y
auto_direction = 'x y'
[]
[]
[fix1_x]
type = DirichletBC
boundary = "fix1"
variable = disp_x
value = 0
[]
[fix1_y]
type = DirichletBC
boundary = "fix1"
variable = disp_y
value = 0
[]
[fix2_y]
type = DirichletBC
boundary = "fix2"
variable = disp_y
value = 0
[]
[]
[Materials]
[elastic_tensor_1]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
block = '1'
[]
[elastic_tensor_2]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 120000.0
poissons_ratio = 0.21
block = '2'
[]
[elastic_tensor_3]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 80000.0
poissons_ratio = 0.4
block = '3'
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
[]
[]
[Postprocessors]
[sxx]
type = ElementAverageValue
variable = sxx
execute_on = 'initial timestep_end'
[]
[syy]
type = ElementAverageValue
variable = syy
execute_on = 'initial timestep_end'
[]
[sxy]
type = ElementAverageValue
variable = sxy
execute_on = 'initial timestep_end'
[]
[exx]
type = ElementAverageValue
variable = exx
execute_on = 'initial timestep_end'
[]
[eyy]
type = ElementAverageValue
variable = eyy
execute_on = 'initial timestep_end'
[]
[exy]
type = ElementAverageValue
variable = exy
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
line_search = none
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 30
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Outputs]
csv = true
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/neml2/large_neml.i)
constraint_types = 'strain strain strain stress stress stress stress strain stress'
targets = 'strain11 zero zero zero zero zero zero zero zero'
[Mesh]
[base]
type = FileMeshGenerator
file = '3d.exo'
[]
[sidesets]
type = SideSetsFromNormalsGenerator
input = base
normals = '-1 0 0
1 0 0
0 -1 0
0 1 0
'
' 0 0 -1
0 0 1'
fixed_normal = true
new_boundary = 'left right bottom top back front'
[]
[]
[BCs]
[fix1_x]
type = DirichletBC
boundary = fix_all
displacements = 'disp_x disp_y disp_z'
matrix_tags = 'system time'
value = 0
variable = disp_x
vector_tags = residual
[]
[]
[BCs]
[fix1_y]
type = DirichletBC
boundary = fix_all
displacements = 'disp_x disp_y disp_z'
matrix_tags = 'system time'
value = 0
variable = disp_y
vector_tags = residual
[]
[]
[BCs]
[fix1_z]
type = DirichletBC
boundary = fix_all
displacements = 'disp_x disp_y disp_z'
matrix_tags = 'system time'
value = 0
variable = disp_z
vector_tags = residual
[]
[]
[BCs]
[fix2_x]
type = DirichletBC
boundary = fix_xy
displacements = 'disp_x disp_y disp_z'
matrix_tags = 'system time'
value = 0
variable = disp_x
vector_tags = residual
[]
[]
[BCs]
[fix2_y]
type = DirichletBC
boundary = fix_xy
displacements = 'disp_x disp_y disp_z'
matrix_tags = 'system time'
value = 0
variable = disp_y
vector_tags = residual
[]
[]
[BCs]
[fix3_z]
type = DirichletBC
boundary = fix_z
displacements = 'disp_x disp_y disp_z'
matrix_tags = 'system time'
value = 0
variable = disp_z
vector_tags = residual
[]
[]
[BCs]
[Periodic]
[x]
variable = disp_x
auto_direction = 'x y z'
[]
[y]
variable = disp_y
auto_direction = 'x y z'
[]
[z]
variable = disp_z
auto_direction = 'x y z'
[]
[]
[]
[Functions]
[strain11]
type = ParsedFunction
expression = 't'
[]
[]
[Functions]
[zero]
type = ConstantFunction
value = 0
[]
[]
[Materials]
[convert_strain]
type = RankTwoTensorToSymmetricRankTwoTensor
from = mechanical_strain
outputs = none
to = neml2_strain
[]
[]
[Materials]
[stress]
type = ComputeLagrangianObjectiveCustomSymmetricStress
custom_small_jacobian = neml2_jacobian
custom_small_stress = neml2_stress
large_kinematics = true
outputs = none
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
constraint_types = ${constraint_types}
targets = ${targets}
macro_gradient = hvar
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[]
[Materials]
[material_neml2_to_moose_stress]
type = NEML2ToMOOSESymmetricRankTwoTensorMaterialProperty
block = ''
from_neml2 = state/S
neml2_executor = neml2_model_all
outputs = none
to_moose = neml2_stress
[]
[material_neml2_to_moose_jacobian]
type = NEML2ToMOOSESymmetricRankFourTensorMaterialProperty
block = ''
from_neml2 = state/S
neml2_executor = neml2_model_all
neml2_input_derivative = forces/E
outputs = none
to_moose = neml2_jacobian
[]
[]
[UserObjects]
[UO_strain_moose_to_neml2]
type = MOOSESymmetricRankTwoTensorMaterialPropertyToNEML2
block = ''
execute_on = 'INITIAL LINEAR NONLINEAR'
from_moose = neml2_strain
to_neml2 = forces/E
[]
[neml2_index_model_all]
type = NEML2BatchIndexGenerator
block = ''
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[neml2_model_all]
type = NEML2ModelExecutor
batch_index_generator = neml2_index_model_all
device = cpu
execute_on = 'INITIAL LINEAR NONLINEAR'
gatherers = UO_strain_moose_to_neml2
input = neml2_elastic.i
model = model
param_gatherers = ''
execution_order_group = 1
[]
[]
[Variables]
[disp_x]
type = MooseVariable
family = LAGRANGE
order = FIRST
[]
[disp_y]
type = MooseVariable
family = LAGRANGE
order = FIRST
[]
[disp_z]
type = MooseVariable
family = LAGRANGE
order = FIRST
[]
[]
[AuxKernels]
[pk1_stress_xx_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = pk1_stress_xx
variable = pk1_stress_xx
[]
[pk1_stress_xy_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = pk1_stress_xy
variable = pk1_stress_xy
[]
[pk1_stress_xz_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = pk1_stress_xz
variable = pk1_stress_xz
[]
[pk1_stress_yx_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = pk1_stress_yx
variable = pk1_stress_yx
[]
[pk1_stress_yy_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = pk1_stress_yy
variable = pk1_stress_yy
[]
[pk1_stress_yz_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = pk1_stress_yz
variable = pk1_stress_yz
[]
[pk1_stress_zx_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = pk1_stress_zx
variable = pk1_stress_zx
[]
[pk1_stress_zy_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = pk1_stress_zy
variable = pk1_stress_zy
[]
[pk1_stress_zz_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = pk1_stress_zz
variable = pk1_stress_zz
[]
[deformation_gradient_xx_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_xx
variable = deformation_gradient_xx
[]
[deformation_gradient_xy_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_xy
variable = deformation_gradient_xy
[]
[deformation_gradient_xz_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_xz
variable = deformation_gradient_xz
[]
[deformation_gradient_yx_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_yx
variable = deformation_gradient_yx
[]
[deformation_gradient_yy_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_yy
variable = deformation_gradient_yy
[]
[deformation_gradient_yz_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_yz
variable = deformation_gradient_yz
[]
[deformation_gradient_zx_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_zx
variable = deformation_gradient_zx
[]
[deformation_gradient_zy_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_zy
variable = deformation_gradient_zy
[]
[deformation_gradient_zz_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_zz
variable = deformation_gradient_zz
[]
[]
[AuxVariables]
[pk1_stress_xx]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_xy]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_xz]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_yx]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_yy]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_yz]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_zx]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_zy]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_zz]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_xx]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_xy]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_xz]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_yx]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_yy]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_yz]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_zx]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_zy]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_zz]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[]
[Kernels]
[TM_all0]
type = HomogenizedTotalLagrangianStressDivergence
component = 0
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
stabilize_strain = false
variable = disp_x
macro_var = hvar
constraint_types = ${constraint_types}
targets = ${targets}
[]
[TM_all1]
type = HomogenizedTotalLagrangianStressDivergence
component = 1
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
stabilize_strain = false
variable = disp_y
macro_var = hvar
constraint_types = ${constraint_types}
targets = ${targets}
[]
[TM_all2]
type = HomogenizedTotalLagrangianStressDivergence
component = 2
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
stabilize_strain = false
variable = disp_z
macro_var = hvar
constraint_types = ${constraint_types}
targets = ${targets}
[]
[]
[Materials]
[pk1_stress_xx_all]
type = RankTwoCartesianComponent
block = ''
index_i = 0
index_j = 0
outputs = none
property_name = pk1_stress_xx
rank_two_tensor = pk1_stress
[]
[pk1_stress_xy_all]
type = RankTwoCartesianComponent
block = ''
index_i = 0
index_j = 1
outputs = none
property_name = pk1_stress_xy
rank_two_tensor = pk1_stress
[]
[pk1_stress_xz_all]
type = RankTwoCartesianComponent
block = ''
index_i = 0
index_j = 2
outputs = none
property_name = pk1_stress_xz
rank_two_tensor = pk1_stress
[]
[pk1_stress_yx_all]
type = RankTwoCartesianComponent
block = ''
index_i = 1
index_j = 0
outputs = none
property_name = pk1_stress_yx
rank_two_tensor = pk1_stress
[]
[pk1_stress_yy_all]
type = RankTwoCartesianComponent
block = ''
index_i = 1
index_j = 1
outputs = none
property_name = pk1_stress_yy
rank_two_tensor = pk1_stress
[]
[pk1_stress_yz_all]
type = RankTwoCartesianComponent
block = ''
index_i = 1
index_j = 2
outputs = none
property_name = pk1_stress_yz
rank_two_tensor = pk1_stress
[]
[pk1_stress_zx_all]
type = RankTwoCartesianComponent
block = ''
index_i = 2
index_j = 0
outputs = none
property_name = pk1_stress_zx
rank_two_tensor = pk1_stress
[]
[pk1_stress_zy_all]
type = RankTwoCartesianComponent
block = ''
index_i = 2
index_j = 1
outputs = none
property_name = pk1_stress_zy
rank_two_tensor = pk1_stress
[]
[pk1_stress_zz_all]
type = RankTwoCartesianComponent
block = ''
index_i = 2
index_j = 2
outputs = none
property_name = pk1_stress_zz
rank_two_tensor = pk1_stress
[]
[deformation_gradient_xx_all]
type = RankTwoCartesianComponent
block = ''
index_i = 0
index_j = 0
outputs = none
property_name = deformation_gradient_xx
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_xy_all]
type = RankTwoCartesianComponent
block = ''
index_i = 0
index_j = 1
outputs = none
property_name = deformation_gradient_xy
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_xz_all]
type = RankTwoCartesianComponent
block = ''
index_i = 0
index_j = 2
outputs = none
property_name = deformation_gradient_xz
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_yx_all]
type = RankTwoCartesianComponent
block = ''
index_i = 1
index_j = 0
outputs = none
property_name = deformation_gradient_yx
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_yy_all]
type = RankTwoCartesianComponent
block = ''
index_i = 1
index_j = 1
outputs = none
property_name = deformation_gradient_yy
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_yz_all]
type = RankTwoCartesianComponent
block = ''
index_i = 1
index_j = 2
outputs = none
property_name = deformation_gradient_yz
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_zx_all]
type = RankTwoCartesianComponent
block = ''
index_i = 2
index_j = 0
outputs = none
property_name = deformation_gradient_zx
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_zy_all]
type = RankTwoCartesianComponent
block = ''
index_i = 2
index_j = 1
outputs = none
property_name = deformation_gradient_zy
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_zz_all]
type = RankTwoCartesianComponent
block = ''
index_i = 2
index_j = 2
outputs = none
property_name = deformation_gradient_zz
rank_two_tensor = deformation_gradient
[]
[]
[Variables]
[hvar]
type = MooseVariableScalar
family = SCALAR
order = NINTH
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
residual_and_jacobian_together = true
solve_type = 'newton'
line_search = 'none'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 20
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Outputs]
[out]
type = Exodus
[]
[]
[Postprocessors]
[time]
type = TimePostprocessor
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[mCS_xx]
type = ElementAverageValue
variable = pk1_stress_xx
[]
[mCS_yy]
type = ElementAverageValue
variable = pk1_stress_yy
[]
[mCS_zz]
type = ElementAverageValue
variable = pk1_stress_zz
[]
[mCS_xy]
type = ElementAverageValue
variable = pk1_stress_xy
[]
[mCS_xz]
type = ElementAverageValue
variable = pk1_stress_xz
[]
[mCS_yx]
type = ElementAverageValue
variable = pk1_stress_yx
[]
[mCS_yz]
type = ElementAverageValue
variable = pk1_stress_yz
[]
[mCS_zy]
type = ElementAverageValue
variable = pk1_stress_zy
[]
[mCS_zx]
type = ElementAverageValue
variable = pk1_stress_zx
[]
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/ld-stress.i)
# 2D test with just strain control
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
constraint_types = 'stress strain strain stress stress strain stress stress stress'
macro_gradient = hvar
targets = 'stress11 zero zero stress12 stress22 zero stress13 stress23 stress33'
[]
[Mesh]
[base]
type = FileMeshGenerator
file = '3d.exo'
[]
[sidesets]
type = SideSetsFromNormalsGenerator
input = base
normals = '-1 0 0
1 0 0
0 -1 0
0 1 0
'
' 0 0 -1
0 0 1'
fixed_normal = true
new_boundary = 'left right bottom top back front'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[hvar]
family = SCALAR
order = NINTH
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[hvar]
type = ScalarConstantIC
variable = hvar
value = 0.1
[]
[]
[AuxVariables]
[s11]
family = MONOMIAL
order = CONSTANT
[]
[s21]
family = MONOMIAL
order = CONSTANT
[]
[s31]
family = MONOMIAL
order = CONSTANT
[]
[s12]
family = MONOMIAL
order = CONSTANT
[]
[s22]
family = MONOMIAL
order = CONSTANT
[]
[s32]
family = MONOMIAL
order = CONSTANT
[]
[s13]
family = MONOMIAL
order = CONSTANT
[]
[s23]
family = MONOMIAL
order = CONSTANT
[]
[s33]
family = MONOMIAL
order = CONSTANT
[]
[F11]
family = MONOMIAL
order = CONSTANT
[]
[F21]
family = MONOMIAL
order = CONSTANT
[]
[F31]
family = MONOMIAL
order = CONSTANT
[]
[F12]
family = MONOMIAL
order = CONSTANT
[]
[F22]
family = MONOMIAL
order = CONSTANT
[]
[F32]
family = MONOMIAL
order = CONSTANT
[]
[F13]
family = MONOMIAL
order = CONSTANT
[]
[F23]
family = MONOMIAL
order = CONSTANT
[]
[F33]
family = MONOMIAL
order = CONSTANT
[]
[]
[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
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
scalar_variable = hvar
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
scalar_variable = hvar
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
scalar_variable = hvar
[]
[]
[Functions]
[stress11]
type = ParsedFunction
expression = '4.0e2*t'
[]
[stress22]
type = ParsedFunction
expression = '-2.0e2*t'
[]
[stress33]
type = ParsedFunction
expression = '8.0e2*t'
[]
[stress23]
type = ParsedFunction
expression = '2.0e2*t'
[]
[stress13]
type = ParsedFunction
expression = '-7.0e2*t'
[]
[stress12]
type = ParsedFunction
expression = '1.0e2*t'
[]
[stress32]
type = ParsedFunction
expression = '1.0e2*t'
[]
[stress31]
type = ParsedFunction
expression = '2.0e2*t'
[]
[stress21]
type = ParsedFunction
expression = '-1.5e2*t'
[]
[zero]
type = ConstantFunction
value = 0
[]
[]
[BCs]
[Periodic]
[x]
variable = disp_x
auto_direction = 'x y z'
[]
[y]
variable = disp_y
auto_direction = 'x y z'
[]
[z]
variable = disp_z
auto_direction = 'x y z'
[]
[]
[fix1_x]
type = DirichletBC
boundary = "fix_all"
variable = disp_x
value = 0
[]
[fix1_y]
type = DirichletBC
boundary = "fix_all"
variable = disp_y
value = 0
[]
[fix1_z]
type = DirichletBC
boundary = "fix_all"
variable = disp_z
value = 0
[]
[fix2_x]
type = DirichletBC
boundary = "fix_xy"
variable = disp_x
value = 0
[]
[fix2_y]
type = DirichletBC
boundary = "fix_xy"
variable = disp_y
value = 0
[]
[fix3_z]
type = DirichletBC
boundary = "fix_z"
variable = disp_z
value = 0
[]
[]
[Materials]
[elastic_tensor_1]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
block = '1'
[]
[elastic_tensor_2]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 120000.0
poissons_ratio = 0.21
block = '2'
[]
[elastic_tensor_3]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 80000.0
poissons_ratio = 0.4
block = '3'
[]
[elastic_tensor_4]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 76000.0
poissons_ratio = 0.11
block = '4'
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Postprocessors]
[s11]
type = ElementAverageValue
variable = s11
execute_on = 'initial timestep_end'
[]
[s21]
type = ElementAverageValue
variable = s21
execute_on = 'initial timestep_end'
[]
[s31]
type = ElementAverageValue
variable = s31
execute_on = 'initial timestep_end'
[]
[s12]
type = ElementAverageValue
variable = s12
execute_on = 'initial timestep_end'
[]
[s22]
type = ElementAverageValue
variable = s22
execute_on = 'initial timestep_end'
[]
[s32]
type = ElementAverageValue
variable = s32
execute_on = 'initial timestep_end'
[]
[s13]
type = ElementAverageValue
variable = s13
execute_on = 'initial timestep_end'
[]
[s23]
type = ElementAverageValue
variable = s23
execute_on = 'initial timestep_end'
[]
[s33]
type = ElementAverageValue
variable = s33
execute_on = 'initial timestep_end'
[]
[F11]
type = ElementAverageValue
variable = F11
execute_on = 'initial timestep_end'
[]
[F21]
type = ElementAverageValue
variable = F21
execute_on = 'initial timestep_end'
[]
[F31]
type = ElementAverageValue
variable = F31
execute_on = 'initial timestep_end'
[]
[F12]
type = ElementAverageValue
variable = F12
execute_on = 'initial timestep_end'
[]
[F22]
type = ElementAverageValue
variable = F22
execute_on = 'initial timestep_end'
[]
[F32]
type = ElementAverageValue
variable = F32
execute_on = 'initial timestep_end'
[]
[F13]
type = ElementAverageValue
variable = F13
execute_on = 'initial timestep_end'
[]
[F23]
type = ElementAverageValue
variable = F23
execute_on = 'initial timestep_end'
[]
[F33]
type = ElementAverageValue
variable = F33
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
line_search = none
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 10
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 0.2
[]
[Outputs]
exodus = false
csv = false
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/sd-stress.i)
# 3D test with stress control
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
constraint_types = 'stress none none stress stress none stress stress stress'
targets = 'stress11 stress12 stress22 stress13 stress23 stress33'
macro_gradient = hvar
[]
[Mesh]
[base]
type = FileMeshGenerator
file = '3d.exo'
[]
[sidesets]
type = SideSetsFromNormalsGenerator
input = base
normals = '-1 0 0
1 0 0
0 -1 0
0 1 0
'
' 0 0 -1
0 0 1'
fixed_normal = true
new_boundary = 'left right bottom top back front'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[hvar]
family = SCALAR
order = SIXTH
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[hvar]
type = ScalarConstantIC
variable = hvar
value = 0.1
[]
[]
[AuxVariables]
[sxx]
family = MONOMIAL
order = CONSTANT
[]
[syy]
family = MONOMIAL
order = CONSTANT
[]
[sxy]
family = MONOMIAL
order = CONSTANT
[]
[szz]
family = MONOMIAL
order = CONSTANT
[]
[syz]
family = MONOMIAL
order = CONSTANT
[]
[sxz]
family = MONOMIAL
order = CONSTANT
[]
[exx]
family = MONOMIAL
order = CONSTANT
[]
[eyy]
family = MONOMIAL
order = CONSTANT
[]
[exy]
family = MONOMIAL
order = CONSTANT
[]
[ezz]
family = MONOMIAL
order = CONSTANT
[]
[eyz]
family = MONOMIAL
order = CONSTANT
[]
[exz]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[sxx]
type = RankTwoAux
variable = sxx
rank_two_tensor = pk1_stress
index_i = 0
index_j = 0
[]
[syy]
type = RankTwoAux
variable = syy
rank_two_tensor = pk1_stress
index_i = 1
index_j = 1
[]
[sxy]
type = RankTwoAux
variable = sxy
rank_two_tensor = pk1_stress
index_i = 0
index_j = 1
[]
[zz]
type = RankTwoAux
variable = szz
rank_two_tensor = pk1_stress
index_i = 2
index_j = 2
[]
[syz]
type = RankTwoAux
variable = syz
rank_two_tensor = pk1_stress
index_i = 1
index_j = 2
[]
[sxz]
type = RankTwoAux
variable = sxz
rank_two_tensor = pk1_stress
index_i = 0
index_j = 2
[]
[exx]
type = RankTwoAux
variable = exx
rank_two_tensor = mechanical_strain
index_i = 0
index_j = 0
[]
[eyy]
type = RankTwoAux
variable = eyy
rank_two_tensor = mechanical_strain
index_i = 1
index_j = 1
[]
[exy]
type = RankTwoAux
variable = exy
rank_two_tensor = mechanical_strain
index_i = 0
index_j = 1
[]
[ezz]
type = RankTwoAux
variable = ezz
rank_two_tensor = mechanical_strain
index_i = 2
index_j = 2
[]
[eyz]
type = RankTwoAux
variable = eyz
rank_two_tensor = mechanical_strain
index_i = 1
index_j = 2
[]
[exz]
type = RankTwoAux
variable = exz
rank_two_tensor = mechanical_strain
index_i = 0
index_j = 2
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
scalar_variable = hvar
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
scalar_variable = hvar
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
scalar_variable = hvar
[]
[]
[Functions]
[stress11]
type = ParsedFunction
expression = '4.0e2*t'
[]
[stress22]
type = ParsedFunction
expression = '-2.0e2*t'
[]
[stress33]
type = ParsedFunction
expression = '8.0e2*t'
[]
[stress23]
type = ParsedFunction
expression = '2.0e2*t'
[]
[stress13]
type = ParsedFunction
expression = '-7.0e2*t'
[]
[stress12]
type = ParsedFunction
expression = '1.0e2*t'
[]
[]
[BCs]
[Periodic]
[x]
variable = disp_x
auto_direction = 'x y z'
[]
[y]
variable = disp_y
auto_direction = 'x y z'
[]
[z]
variable = disp_z
auto_direction = 'x y z'
[]
[]
[fix1_x]
type = DirichletBC
boundary = "fix_all"
variable = disp_x
value = 0
[]
[fix1_y]
type = DirichletBC
boundary = "fix_all"
variable = disp_y
value = 0
[]
[fix1_z]
type = DirichletBC
boundary = "fix_all"
variable = disp_z
value = 0
[]
[fix2_x]
type = DirichletBC
boundary = "fix_xy"
variable = disp_x
value = 0
[]
[fix2_y]
type = DirichletBC
boundary = "fix_xy"
variable = disp_y
value = 0
[]
[fix3_z]
type = DirichletBC
boundary = "fix_z"
variable = disp_z
value = 0
[]
[]
[Materials]
[elastic_tensor_1]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
block = '1'
[]
[elastic_tensor_2]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 120000.0
poissons_ratio = 0.21
block = '2'
[]
[elastic_tensor_3]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 80000.0
poissons_ratio = 0.4
block = '3'
[]
[elastic_tensor_4]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 76000.0
poissons_ratio = 0.11
block = '4'
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Postprocessors]
[sxx]
type = ElementAverageValue
variable = sxx
execute_on = 'initial timestep_end'
[]
[syy]
type = ElementAverageValue
variable = syy
execute_on = 'initial timestep_end'
[]
[sxy]
type = ElementAverageValue
variable = sxy
execute_on = 'initial timestep_end'
[]
[szz]
type = ElementAverageValue
variable = szz
execute_on = 'initial timestep_end'
[]
[syz]
type = ElementAverageValue
variable = syz
execute_on = 'initial timestep_end'
[]
[sxz]
type = ElementAverageValue
variable = sxz
execute_on = 'initial timestep_end'
[]
[exx]
type = ElementAverageValue
variable = exx
execute_on = 'initial timestep_end'
[]
[eyy]
type = ElementAverageValue
variable = eyy
execute_on = 'initial timestep_end'
[]
[exy]
type = ElementAverageValue
variable = exy
execute_on = 'initial timestep_end'
[]
[ezz]
type = ElementAverageValue
variable = ezz
execute_on = 'initial timestep_end'
[]
[eyz]
type = ElementAverageValue
variable = eyz
execute_on = 'initial timestep_end'
[]
[exz]
type = ElementAverageValue
variable = exz
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
line_search = none
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 10
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 0.2
[]
[Outputs]
exodus = false
csv = false
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/small-tests/1d.i)
# 1D strain controlled test
[GlobalParams]
displacements = 'disp_x'
large_kinematics = false
macro_gradient = hvar
constraint_types = ${constraint_types}
targets = ${targets}
[]
[Mesh]
[base]
type = FileMeshGenerator
file = '1d.exo'
[]
[ss]
type = SideSetsFromPointsGenerator
input = base
points = '-1 0 0
7 0 0'
new_boundary = 'left right'
[]
[]
[Variables]
[disp_x]
[]
[hvar]
family = SCALAR
order = FIRST
[]
[]
[AuxVariables]
[sxx]
family = MONOMIAL
order = CONSTANT
[]
[exx]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[sxx]
type = RankTwoAux
variable = sxx
rank_two_tensor = pk1_stress
index_i = 0
index_j = 0
[]
[exx]
type = RankTwoAux
variable = exx
rank_two_tensor = mechanical_strain
index_i = 0
index_j = 0
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
scalar_variable = hvar
[]
[]
[Functions]
[func_stress]
type = ParsedFunction
expression = '1800*t'
[]
[func_strain]
type = ParsedFunction
expression = '1.0e-2*t'
[]
[]
[BCs]
[Periodic]
[all]
variable = disp_x
auto_direction = 'x'
[]
[]
[centerfix_x]
type = DirichletBC
boundary = "fixme"
variable = disp_x
value = 0
[]
[]
[Materials]
[elastic_tensor_1]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
block = '1'
[]
[elastic_tensor_2]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 120000.0
poissons_ratio = 0.21
block = '2'
[]
[elastic_tensor_3]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 80000.0
poissons_ratio = 0.4
block = '3'
[]
[elastic_tensor_4]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 76000.0
poissons_ratio = 0.11
block = '4'
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
[]
[]
[Postprocessors]
[sxx]
type = ElementAverageValue
variable = sxx
execute_on = 'initial timestep_end'
[]
[exx]
type = ElementAverageValue
variable = exx
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
line_search = default
automatic_scaling = true
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 15
nl_rel_tol = 1e-6
nl_abs_tol = 1e-8
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Outputs]
exodus = false
csv = true
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/large-tests/2d.i)
# 2D with mixed conditions on stress/strain
[GlobalParams]
displacements = 'disp_x disp_y'
large_kinematics = true
macro_gradient = hvar
constraint_types = ${constraint_types}
targets = ${targets}
[]
[Mesh]
[base]
type = FileMeshGenerator
file = '2d.exo'
[]
[sidesets]
type = SideSetsFromNormalsGenerator
input = base
normals = '-1 0 0
1 0 0
0 -1 0
0 1 0'
fixed_normal = true
new_boundary = 'left right bottom top'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[hvar]
family = SCALAR
order = FOURTH
[]
[]
[AuxVariables]
[s11]
family = MONOMIAL
order = CONSTANT
[]
[s21]
family = MONOMIAL
order = CONSTANT
[]
[s31]
family = MONOMIAL
order = CONSTANT
[]
[s12]
family = MONOMIAL
order = CONSTANT
[]
[s22]
family = MONOMIAL
order = CONSTANT
[]
[s32]
family = MONOMIAL
order = CONSTANT
[]
[s13]
family = MONOMIAL
order = CONSTANT
[]
[s23]
family = MONOMIAL
order = CONSTANT
[]
[s33]
family = MONOMIAL
order = CONSTANT
[]
[F11]
family = MONOMIAL
order = CONSTANT
[]
[F21]
family = MONOMIAL
order = CONSTANT
[]
[F31]
family = MONOMIAL
order = CONSTANT
[]
[F12]
family = MONOMIAL
order = CONSTANT
[]
[F22]
family = MONOMIAL
order = CONSTANT
[]
[F32]
family = MONOMIAL
order = CONSTANT
[]
[F13]
family = MONOMIAL
order = CONSTANT
[]
[F23]
family = MONOMIAL
order = CONSTANT
[]
[F33]
family = MONOMIAL
order = CONSTANT
[]
[]
[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
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
scalar_variable = hvar
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
scalar_variable = hvar
[]
[]
[Functions]
[strain11]
type = ParsedFunction
expression = '4.0e-1*t'
[]
[strain22]
type = ParsedFunction
expression = '-2.0e-1*t'
[]
[strain12]
type = ParsedFunction
expression = '1.0e-1*t'
[]
[strain21]
type = ParsedFunction
expression = '-1.5e-1*t'
[]
[stress11]
type = ParsedFunction
expression = '4.0e2*t'
[]
[stress22]
type = ParsedFunction
expression = '-2.0e2*t'
[]
[stress12]
type = ParsedFunction
expression = '1.0e2*t'
[]
[stress21]
type = ParsedFunction
expression = '-1.5e2*t'
[]
[]
[BCs]
[Periodic]
[x]
variable = disp_x
auto_direction = 'x y'
[]
[y]
variable = disp_y
auto_direction = 'x y'
[]
[]
[fix1_x]
type = DirichletBC
boundary = "fix1"
variable = disp_x
value = 0
[]
[fix1_y]
type = DirichletBC
boundary = "fix1"
variable = disp_y
value = 0
[]
[fix2_y]
type = DirichletBC
boundary = "fix2"
variable = disp_y
value = 0
[]
[]
[Materials]
[elastic_tensor_1]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
block = '1'
[]
[elastic_tensor_2]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 120000.0
poissons_ratio = 0.21
block = '2'
[]
[elastic_tensor_3]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 80000.0
poissons_ratio = 0.4
block = '3'
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
[]
[]
[Postprocessors]
[s11]
type = ElementAverageValue
variable = s11
execute_on = 'initial timestep_end'
[]
[s21]
type = ElementAverageValue
variable = s21
execute_on = 'initial timestep_end'
[]
[s31]
type = ElementAverageValue
variable = s31
execute_on = 'initial timestep_end'
[]
[s12]
type = ElementAverageValue
variable = s12
execute_on = 'initial timestep_end'
[]
[s22]
type = ElementAverageValue
variable = s22
execute_on = 'initial timestep_end'
[]
[s32]
type = ElementAverageValue
variable = s32
execute_on = 'initial timestep_end'
[]
[s13]
type = ElementAverageValue
variable = s13
execute_on = 'initial timestep_end'
[]
[s23]
type = ElementAverageValue
variable = s23
execute_on = 'initial timestep_end'
[]
[s33]
type = ElementAverageValue
variable = s33
execute_on = 'initial timestep_end'
[]
[F11]
type = ElementAverageValue
variable = F11
execute_on = 'initial timestep_end'
[]
[F21]
type = ElementAverageValue
variable = F21
execute_on = 'initial timestep_end'
[]
[F31]
type = ElementAverageValue
variable = F31
execute_on = 'initial timestep_end'
[]
[F12]
type = ElementAverageValue
variable = F12
execute_on = 'initial timestep_end'
[]
[F22]
type = ElementAverageValue
variable = F22
execute_on = 'initial timestep_end'
[]
[F32]
type = ElementAverageValue
variable = F32
execute_on = 'initial timestep_end'
[]
[F13]
type = ElementAverageValue
variable = F13
execute_on = 'initial timestep_end'
[]
[F23]
type = ElementAverageValue
variable = F23
execute_on = 'initial timestep_end'
[]
[F33]
type = ElementAverageValue
variable = F33
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
line_search = none
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 30
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Outputs]
csv = true
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/action/noaction_2d.i)
# 2D with mixed conditions on stress/strain
[GlobalParams]
displacements = 'disp_x disp_y'
large_kinematics = false
[]
[Mesh]
[base]
type = FileMeshGenerator
file = '2d.exo'
[]
[sidesets]
type = SideSetsFromNormalsGenerator
input = base
normals = '-1 0 0
1 0 0
0 -1 0
0 1 0'
fixed_normal = true
new_boundary = 'left right bottom top'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[hvar]
family = SCALAR
order = THIRD
[]
[]
[AuxVariables]
[pk1_stress_xx]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_yx]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_zx]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_xy]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_yy]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_zy]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_xz]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_yz]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_zz]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_xx]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_yx]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_zx]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_xy]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_yy]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_zy]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_xz]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_yz]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_zz]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[pk1_stress_xx]
type = RankTwoAux
variable = pk1_stress_xx
rank_two_tensor = pk1_stress
index_i = 0
index_j = 0
[]
[pk1_stress_yx]
type = RankTwoAux
variable = pk1_stress_yx
rank_two_tensor = pk1_stress
index_i = 1
index_j = 0
[]
[pk1_stress_zx]
type = RankTwoAux
variable = pk1_stress_zx
rank_two_tensor = pk1_stress
index_i = 2
index_j = 0
[]
[pk1_stress_xy]
type = RankTwoAux
variable = pk1_stress_xy
rank_two_tensor = pk1_stress
index_i = 0
index_j = 1
[]
[pk1_stress_yy]
type = RankTwoAux
variable = pk1_stress_yy
rank_two_tensor = pk1_stress
index_i = 1
index_j = 1
[]
[pk1_stress_zy]
type = RankTwoAux
variable = pk1_stress_zy
rank_two_tensor = pk1_stress
index_i = 2
index_j = 1
[]
[pk1_stress_xz]
type = RankTwoAux
variable = pk1_stress_xz
rank_two_tensor = pk1_stress
index_i = 0
index_j = 2
[]
[pk1_stress_yz]
type = RankTwoAux
variable = pk1_stress_yz
rank_two_tensor = pk1_stress
index_i = 1
index_j = 2
[]
[pk1_stress_zz]
type = RankTwoAux
variable = pk1_stress_zz
rank_two_tensor = pk1_stress
index_i = 2
index_j = 2
[]
[deformation_gradient_xx]
type = RankTwoAux
variable = deformation_gradient_xx
rank_two_tensor = deformation_gradient
index_i = 0
index_j = 0
[]
[deformation_gradient_yx]
type = RankTwoAux
variable = deformation_gradient_yx
rank_two_tensor = deformation_gradient
index_i = 1
index_j = 0
[]
[deformation_gradient_zx]
type = RankTwoAux
variable = deformation_gradient_zx
rank_two_tensor = deformation_gradient
index_i = 2
index_j = 0
[]
[deformation_gradient_xy]
type = RankTwoAux
variable = deformation_gradient_xy
rank_two_tensor = deformation_gradient
index_i = 0
index_j = 1
[]
[deformation_gradient_yy]
type = RankTwoAux
variable = deformation_gradient_yy
rank_two_tensor = deformation_gradient
index_i = 1
index_j = 1
[]
[deformation_gradient_zy]
type = RankTwoAux
variable = deformation_gradient_zy
rank_two_tensor = deformation_gradient
index_i = 2
index_j = 1
[]
[deformation_gradient_xz]
type = RankTwoAux
variable = deformation_gradient_xz
rank_two_tensor = deformation_gradient
index_i = 0
index_j = 2
[]
[deformation_gradient_yz]
type = RankTwoAux
variable = deformation_gradient_yz
rank_two_tensor = deformation_gradient
index_i = 1
index_j = 2
[]
[deformation_gradient_zz]
type = RankTwoAux
variable = deformation_gradient_zz
rank_two_tensor = deformation_gradient
index_i = 2
index_j = 2
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
scalar_variable = hvar
constraint_types = 'stress none none stress strain none none none none'
targets = 'stress11 stress12 strain22'
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
scalar_variable = hvar
constraint_types = 'stress none none stress strain none none none none'
targets = 'stress11 stress12 strain22'
[]
[]
[Functions]
[stress11]
type = ParsedFunction
expression = '400*t'
[]
[strain22]
type = ParsedFunction
expression = '-2.0e-2*t'
[]
[stress12]
type = ParsedFunction
expression = '100*t'
[]
[]
[BCs]
[Periodic]
[x]
variable = disp_x
auto_direction = 'x y'
[]
[y]
variable = disp_y
auto_direction = 'x y'
[]
[]
[fix1_x]
type = DirichletBC
boundary = "fix1"
variable = disp_x
value = 0
[]
[fix1_y]
type = DirichletBC
boundary = "fix1"
variable = disp_y
value = 0
[]
[fix2_y]
type = DirichletBC
boundary = "fix2"
variable = disp_y
value = 0
[]
[]
[Materials]
[elastic_tensor_1]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
block = '1'
[]
[elastic_tensor_2]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 120000.0
poissons_ratio = 0.21
block = '2'
[]
[elastic_tensor_3]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 80000.0
poissons_ratio = 0.4
block = '3'
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
constraint_types = 'stress none none stress strain none none none none'
targets = 'stress11 stress12 strain22'
macro_gradient = hvar
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
line_search = none
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 30
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Outputs]
file_base = 2d
exodus = true
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/ld-strain.i)
# 2D test with just strain control
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
constraint_types = 'strain strain strain strain strain strain strain strain strain'
targets = 'strain11 strain21 strain31 strain12 strain22 strain32 strain13 strain23 strain33'
macro_gradient = hvar
[]
[Mesh]
[base]
type = FileMeshGenerator
file = '3d.exo'
[]
[sidesets]
type = SideSetsFromNormalsGenerator
input = base
normals = '-1 0 0
1 0 0
0 -1 0
0 1 0
'
' 0 0 -1
0 0 1'
fixed_normal = true
new_boundary = 'left right bottom top back front'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[hvar]
family = SCALAR
order = NINTH
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[hvar]
type = ScalarConstantIC
variable = hvar
value = 0.1
[]
[]
[AuxVariables]
[s11]
family = MONOMIAL
order = CONSTANT
[]
[s21]
family = MONOMIAL
order = CONSTANT
[]
[s31]
family = MONOMIAL
order = CONSTANT
[]
[s12]
family = MONOMIAL
order = CONSTANT
[]
[s22]
family = MONOMIAL
order = CONSTANT
[]
[s32]
family = MONOMIAL
order = CONSTANT
[]
[s13]
family = MONOMIAL
order = CONSTANT
[]
[s23]
family = MONOMIAL
order = CONSTANT
[]
[s33]
family = MONOMIAL
order = CONSTANT
[]
[F11]
family = MONOMIAL
order = CONSTANT
[]
[F21]
family = MONOMIAL
order = CONSTANT
[]
[F31]
family = MONOMIAL
order = CONSTANT
[]
[F12]
family = MONOMIAL
order = CONSTANT
[]
[F22]
family = MONOMIAL
order = CONSTANT
[]
[F32]
family = MONOMIAL
order = CONSTANT
[]
[F13]
family = MONOMIAL
order = CONSTANT
[]
[F23]
family = MONOMIAL
order = CONSTANT
[]
[F33]
family = MONOMIAL
order = CONSTANT
[]
[]
[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
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
scalar_variable = hvar
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
scalar_variable = hvar
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
scalar_variable = hvar
[]
[]
[Functions]
[strain11]
type = ParsedFunction
expression = '8.0e-2*t'
[]
[strain22]
type = ParsedFunction
expression = '-4.0e-2*t'
[]
[strain33]
type = ParsedFunction
expression = '8.0e-2*t'
[]
[strain23]
type = ParsedFunction
expression = '2.0e-2*t'
[]
[strain13]
type = ParsedFunction
expression = '-7.0e-2*t'
[]
[strain12]
type = ParsedFunction
expression = '1.0e-2*t'
[]
[strain32]
type = ParsedFunction
expression = '1.0e-2*t'
[]
[strain31]
type = ParsedFunction
expression = '2.0e-2*t'
[]
[strain21]
type = ParsedFunction
expression = '-1.5e-2*t'
[]
[zero]
type = ConstantFunction
value = 0
[]
[]
[BCs]
[Periodic]
[x]
variable = disp_x
auto_direction = 'x y z'
[]
[y]
variable = disp_y
auto_direction = 'x y z'
[]
[z]
variable = disp_z
auto_direction = 'x y z'
[]
[]
[fix1_x]
type = DirichletBC
boundary = "fix_all"
variable = disp_x
value = 0
[]
[fix1_y]
type = DirichletBC
boundary = "fix_all"
variable = disp_y
value = 0
[]
[fix1_z]
type = DirichletBC
boundary = "fix_all"
variable = disp_z
value = 0
[]
[fix2_x]
type = DirichletBC
boundary = "fix_xy"
variable = disp_x
value = 0
[]
[fix2_y]
type = DirichletBC
boundary = "fix_xy"
variable = disp_y
value = 0
[]
[fix3_z]
type = DirichletBC
boundary = "fix_z"
variable = disp_z
value = 0
[]
[]
[Materials]
[elastic_tensor_1]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
block = '1'
[]
[elastic_tensor_2]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 120000.0
poissons_ratio = 0.21
block = '2'
[]
[elastic_tensor_3]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 80000.0
poissons_ratio = 0.4
block = '3'
[]
[elastic_tensor_4]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 76000.0
poissons_ratio = 0.11
block = '4'
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Postprocessors]
[s11]
type = ElementAverageValue
variable = s11
execute_on = 'initial timestep_end'
[]
[s21]
type = ElementAverageValue
variable = s21
execute_on = 'initial timestep_end'
[]
[s31]
type = ElementAverageValue
variable = s31
execute_on = 'initial timestep_end'
[]
[s12]
type = ElementAverageValue
variable = s12
execute_on = 'initial timestep_end'
[]
[s22]
type = ElementAverageValue
variable = s22
execute_on = 'initial timestep_end'
[]
[s32]
type = ElementAverageValue
variable = s32
execute_on = 'initial timestep_end'
[]
[s13]
type = ElementAverageValue
variable = s13
execute_on = 'initial timestep_end'
[]
[s23]
type = ElementAverageValue
variable = s23
execute_on = 'initial timestep_end'
[]
[s33]
type = ElementAverageValue
variable = s33
execute_on = 'initial timestep_end'
[]
[F11]
type = ElementAverageValue
variable = F11
execute_on = 'initial timestep_end'
[]
[F21]
type = ElementAverageValue
variable = F21
execute_on = 'initial timestep_end'
[]
[F31]
type = ElementAverageValue
variable = F31
execute_on = 'initial timestep_end'
[]
[F12]
type = ElementAverageValue
variable = F12
execute_on = 'initial timestep_end'
[]
[F22]
type = ElementAverageValue
variable = F22
execute_on = 'initial timestep_end'
[]
[F32]
type = ElementAverageValue
variable = F32
execute_on = 'initial timestep_end'
[]
[F13]
type = ElementAverageValue
variable = F13
execute_on = 'initial timestep_end'
[]
[F23]
type = ElementAverageValue
variable = F23
execute_on = 'initial timestep_end'
[]
[F33]
type = ElementAverageValue
variable = F33
execute_on = 'initial timestep_end'
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
line_search = none
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 20
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 0.2
[]
[Outputs]
exodus = false
csv = false
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/action/noaction_3d.i)
# 3D test with just mixed stress strain control
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Mesh]
[base]
type = FileMeshGenerator
file = '3d.exo'
[]
[sidesets]
type = SideSetsFromNormalsGenerator
input = base
normals = '-1 0 0
1 0 0
0 -1 0
0 1 0
'
' 0 0 -1
0 0 1'
fixed_normal = true
new_boundary = 'left right bottom top back front'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[hvar]
family = SCALAR
order = NINTH
[]
[]
[AuxVariables]
[pk1_stress_xx]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_yx]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_zx]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_xy]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_yy]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_zy]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_xz]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_yz]
family = MONOMIAL
order = CONSTANT
[]
[pk1_stress_zz]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_xx]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_yx]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_zx]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_xy]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_yy]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_zy]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_xz]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_yz]
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_zz]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[pk1_stress_xx]
type = RankTwoAux
variable = pk1_stress_xx
rank_two_tensor = pk1_stress
index_i = 0
index_j = 0
[]
[pk1_stress_yx]
type = RankTwoAux
variable = pk1_stress_yx
rank_two_tensor = pk1_stress
index_i = 1
index_j = 0
[]
[pk1_stress_zx]
type = RankTwoAux
variable = pk1_stress_zx
rank_two_tensor = pk1_stress
index_i = 2
index_j = 0
[]
[pk1_stress_xy]
type = RankTwoAux
variable = pk1_stress_xy
rank_two_tensor = pk1_stress
index_i = 0
index_j = 1
[]
[pk1_stress_yy]
type = RankTwoAux
variable = pk1_stress_yy
rank_two_tensor = pk1_stress
index_i = 1
index_j = 1
[]
[pk1_stress_zy]
type = RankTwoAux
variable = pk1_stress_zy
rank_two_tensor = pk1_stress
index_i = 2
index_j = 1
[]
[pk1_stress_xz]
type = RankTwoAux
variable = pk1_stress_xz
rank_two_tensor = pk1_stress
index_i = 0
index_j = 2
[]
[pk1_stress_yz]
type = RankTwoAux
variable = pk1_stress_yz
rank_two_tensor = pk1_stress
index_i = 1
index_j = 2
[]
[pk1_stress_zz]
type = RankTwoAux
variable = pk1_stress_zz
rank_two_tensor = pk1_stress
index_i = 2
index_j = 2
[]
[deformation_gradient_xx]
type = RankTwoAux
variable = deformation_gradient_xx
rank_two_tensor = deformation_gradient
index_i = 0
index_j = 0
[]
[deformation_gradient_yx]
type = RankTwoAux
variable = deformation_gradient_yx
rank_two_tensor = deformation_gradient
index_i = 1
index_j = 0
[]
[deformation_gradient_zx]
type = RankTwoAux
variable = deformation_gradient_zx
rank_two_tensor = deformation_gradient
index_i = 2
index_j = 0
[]
[deformation_gradient_xy]
type = RankTwoAux
variable = deformation_gradient_xy
rank_two_tensor = deformation_gradient
index_i = 0
index_j = 1
[]
[deformation_gradient_yy]
type = RankTwoAux
variable = deformation_gradient_yy
rank_two_tensor = deformation_gradient
index_i = 1
index_j = 1
[]
[deformation_gradient_zy]
type = RankTwoAux
variable = deformation_gradient_zy
rank_two_tensor = deformation_gradient
index_i = 2
index_j = 1
[]
[deformation_gradient_xz]
type = RankTwoAux
variable = deformation_gradient_xz
rank_two_tensor = deformation_gradient
index_i = 0
index_j = 2
[]
[deformation_gradient_yz]
type = RankTwoAux
variable = deformation_gradient_yz
rank_two_tensor = deformation_gradient
index_i = 1
index_j = 2
[]
[deformation_gradient_zz]
type = RankTwoAux
variable = deformation_gradient_zz
rank_two_tensor = deformation_gradient
index_i = 2
index_j = 2
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
constraint_types = 'stress strain strain strain stress strain strain strain strain'
targets = 'stress11 strain21 strain31 strain12 stress22 strain32 strain13 strain23 strain33'
scalar_variable = hvar
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
constraint_types = 'stress strain strain strain stress strain strain strain strain'
targets = 'stress11 strain21 strain31 strain12 stress22 strain32 strain13 strain23 strain33'
scalar_variable = hvar
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
constraint_types = 'stress strain strain strain stress strain strain strain strain'
targets = 'stress11 strain21 strain31 strain12 stress22 strain32 strain13 strain23 strain33'
scalar_variable = hvar
[]
[]
[Functions]
[stress11]
type = ParsedFunction
expression = '120.0*t'
[]
[stress22]
type = ParsedFunction
expression = '65*t'
[]
[strain33]
type = ParsedFunction
expression = '8.0e-2*t'
[]
[strain23]
type = ParsedFunction
expression = '2.0e-2*t'
[]
[strain13]
type = ParsedFunction
expression = '-7.0e-2*t'
[]
[strain12]
type = ParsedFunction
expression = '1.0e-2*t'
[]
[strain32]
type = ParsedFunction
expression = '1.0e-2*t'
[]
[strain31]
type = ParsedFunction
expression = '2.0e-2*t'
[]
[strain21]
type = ParsedFunction
expression = '-1.5e-2*t'
[]
[]
[BCs]
[Periodic]
[x]
variable = disp_x
auto_direction = 'x y z'
[]
[y]
variable = disp_y
auto_direction = 'x y z'
[]
[z]
variable = disp_z
auto_direction = 'x y z'
[]
[]
[fix1_x]
type = DirichletBC
boundary = "fix_all"
variable = disp_x
value = 0
[]
[fix1_y]
type = DirichletBC
boundary = "fix_all"
variable = disp_y
value = 0
[]
[fix1_z]
type = DirichletBC
boundary = "fix_all"
variable = disp_z
value = 0
[]
[fix2_x]
type = DirichletBC
boundary = "fix_xy"
variable = disp_x
value = 0
[]
[fix2_y]
type = DirichletBC
boundary = "fix_xy"
variable = disp_y
value = 0
[]
[fix3_z]
type = DirichletBC
boundary = "fix_z"
variable = disp_z
value = 0
[]
[]
[Materials]
[elastic_tensor_1]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
block = '1'
[]
[elastic_tensor_2]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 120000.0
poissons_ratio = 0.21
block = '2'
[]
[elastic_tensor_3]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 80000.0
poissons_ratio = 0.4
block = '3'
[]
[elastic_tensor_4]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 76000.0
poissons_ratio = 0.11
block = '4'
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
[]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
macro_gradient = hvar
constraint_types = 'stress strain strain strain stress strain strain strain strain'
targets = 'stress11 strain21 strain31 strain12 stress22 strain32 strain13 strain23 strain33'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
line_search = none
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 20
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Outputs]
file_base = 3d
exodus = true
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/neml2/small_neml.i)
constraint_types = 'strain none none stress stress stress stress none stress'
targets = 'strain11 zero zero zero zero zero'
[Mesh]
[base]
type = FileMeshGenerator
file = '3d.exo'
[]
[sidesets]
type = SideSetsFromNormalsGenerator
input = base
normals = '-1 0 0
1 0 0
0 -1 0
0 1 0
0 0 -1
0 0 1'
fixed_normal = true
new_boundary = 'left right bottom top back front'
[]
[]
[BCs]
[fix1_x]
type = DirichletBC
boundary = fix_all
displacements = 'disp_x disp_y disp_z'
matrix_tags = 'system time'
value = 0
variable = disp_x
vector_tags = residual
[]
[]
[BCs]
[fix1_y]
type = DirichletBC
boundary = fix_all
displacements = 'disp_x disp_y disp_z'
matrix_tags = 'system time'
value = 0
variable = disp_y
vector_tags = residual
[]
[]
[BCs]
[fix1_z]
type = DirichletBC
boundary = fix_all
displacements = 'disp_x disp_y disp_z'
matrix_tags = 'system time'
value = 0
variable = disp_z
vector_tags = residual
[]
[]
[BCs]
[fix2_x]
type = DirichletBC
boundary = fix_xy
displacements = 'disp_x disp_y disp_z'
matrix_tags = 'system time'
value = 0
variable = disp_x
vector_tags = residual
[]
[]
[BCs]
[fix2_y]
type = DirichletBC
boundary = fix_xy
displacements = 'disp_x disp_y disp_z'
matrix_tags = 'system time'
value = 0
variable = disp_y
vector_tags = residual
[]
[]
[BCs]
[fix3_z]
type = DirichletBC
boundary = fix_z
displacements = 'disp_x disp_y disp_z'
matrix_tags = 'system time'
value = 0
variable = disp_z
vector_tags = residual
[]
[]
[Functions]
[strain11]
type = ParsedFunction
expression = t
[]
[]
[Functions]
[zero]
type = ConstantFunction
value = 0
[]
[]
[Materials]
[compute_homogenization_gradient]
type = ComputeHomogenizedLagrangianStrain
constraint_types = ${constraint_types}
targets = ${targets}
macro_gradient = hvar
[]
[compute_strain]
type = ComputeLagrangianStrain
homogenization_gradient_names = 'homogenization_gradient'
displacements = 'disp_x disp_y disp_z'
[]
[]
[Materials]
[neml2_stress_to_moose]
type = NEML2ToMOOSESymmetricRankTwoTensorMaterialProperty
block = ''
from_neml2 = state/S
neml2_executor = neml2_model_all
outputs = none
to_moose = neml2_stress
[]
[neml2_jacobian_to_moose]
type = NEML2ToMOOSESymmetricRankFourTensorMaterialProperty
block = ''
from_neml2 = state/S
neml2_executor = neml2_model_all
neml2_input_derivative = forces/E
outputs = none
to_moose = neml2_jacobian
[]
[]
[Materials]
[convert_strain]
type = RankTwoTensorToSymmetricRankTwoTensor
from = mechanical_strain
outputs = none
to = neml2_strain
[]
[]
[Materials]
[stress]
type = ComputeLagrangianObjectiveCustomSymmetricStress
custom_small_jacobian = neml2_jacobian
custom_small_stress = neml2_stress
large_kinematics = false
outputs = none
[]
[]
[BCs]
[Periodic]
[x]
variable = disp_x
auto_direction = 'x y z'
[]
[y]
variable = disp_y
auto_direction = 'x y z'
[]
[z]
variable = disp_z
auto_direction = 'x y z'
[]
[]
[]
[UserObjects]
[moose_strain_to_jacobian]
type = MOOSESymmetricRankTwoTensorMaterialPropertyToNEML2
block = ''
execute_on = 'INITIAL LINEAR NONLINEAR'
from_moose = neml2_strain
to_neml2 = forces/E
[]
[neml2_index_model_all]
type = NEML2BatchIndexGenerator
block = ''
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[neml2_model_all]
type = NEML2ModelExecutor
batch_index_generator = neml2_index_model_all
device = cpu
execute_on = 'INITIAL LINEAR NONLINEAR'
gatherers = moose_strain_to_jacobian
input = neml2_elastic.i
model = model
param_gatherers = ''
[]
[]
[Variables]
[disp_x]
type = MooseVariable
family = LAGRANGE
order = FIRST
[]
[disp_y]
type = MooseVariable
family = LAGRANGE
order = FIRST
[]
[disp_z]
type = MooseVariable
family = LAGRANGE
order = FIRST
[]
[hvar]
type = MooseVariableScalar
family = SCALAR
order = SIXTH
[]
[]
[AuxKernels]
[cauchy_stress_xx_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = cauchy_stress_xx
variable = cauchy_stress_xx
[]
[cauchy_stress_xy_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = cauchy_stress_xy
variable = cauchy_stress_xy
[]
[cauchy_stress_xz_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = cauchy_stress_xz
variable = cauchy_stress_xz
[]
[cauchy_stress_yx_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = cauchy_stress_yx
variable = cauchy_stress_yx
[]
[cauchy_stress_yy_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = cauchy_stress_yy
variable = cauchy_stress_yy
[]
[cauchy_stress_yz_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = cauchy_stress_yz
variable = cauchy_stress_yz
[]
[cauchy_stress_zx_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = cauchy_stress_zx
variable = cauchy_stress_zx
[]
[cauchy_stress_zy_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = cauchy_stress_zy
variable = cauchy_stress_zy
[]
[cauchy_stress_zz_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = cauchy_stress_zz
variable = cauchy_stress_zz
[]
[deformation_gradient_xx_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_xx
variable = deformation_gradient_xx
[]
[deformation_gradient_xy_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_xy
variable = deformation_gradient_xy
[]
[deformation_gradient_xz_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_xz
variable = deformation_gradient_xz
[]
[deformation_gradient_yx_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_yx
variable = deformation_gradient_yx
[]
[deformation_gradient_yy_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_yy
variable = deformation_gradient_yy
[]
[deformation_gradient_yz_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_yz
variable = deformation_gradient_yz
[]
[deformation_gradient_zx_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_zx
variable = deformation_gradient_zx
[]
[deformation_gradient_zy_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_zy
variable = deformation_gradient_zy
[]
[deformation_gradient_zz_all]
type = MaterialRealAux
block = ''
execute_on = TIMESTEP_END
property = deformation_gradient_zz
variable = deformation_gradient_zz
[]
[]
[AuxVariables]
[cauchy_stress_xx]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[cauchy_stress_xy]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[cauchy_stress_xz]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[cauchy_stress_yx]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[cauchy_stress_yy]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[cauchy_stress_yz]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[cauchy_stress_zx]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[cauchy_stress_zy]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[cauchy_stress_zz]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_xx]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_xy]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_xz]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_yx]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_yy]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_yz]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_zx]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_zy]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[deformation_gradient_zz]
type = MooseVariableConstMonomial
family = MONOMIAL
order = CONSTANT
[]
[]
[Kernels]
[TM_all0]
type = HomogenizedTotalLagrangianStressDivergence
component = 0
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
stabilize_strain = false
variable = disp_x
macro_var = hvar
constraint_types = ${constraint_types}
targets = ${targets}
[]
[TM_all1]
type = HomogenizedTotalLagrangianStressDivergence
component = 1
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
stabilize_strain = false
variable = disp_y
macro_var = hvar
constraint_types = ${constraint_types}
targets = ${targets}
[]
[TM_all2]
type = HomogenizedTotalLagrangianStressDivergence
component = 2
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
stabilize_strain = false
variable = disp_z
macro_var = hvar
constraint_types = ${constraint_types}
targets = ${targets}
[]
[]
[Materials]
[cauchy_stress_xx_all]
type = RankTwoCartesianComponent
block = ''
index_i = 0
index_j = 0
outputs = none
property_name = cauchy_stress_xx
rank_two_tensor = cauchy_stress
[]
[cauchy_stress_xy_all]
type = RankTwoCartesianComponent
block = ''
index_i = 0
index_j = 1
outputs = none
property_name = cauchy_stress_xy
rank_two_tensor = cauchy_stress
[]
[cauchy_stress_xz_all]
type = RankTwoCartesianComponent
block = ''
index_i = 0
index_j = 2
outputs = none
property_name = cauchy_stress_xz
rank_two_tensor = cauchy_stress
[]
[cauchy_stress_yx_all]
type = RankTwoCartesianComponent
block = ''
index_i = 1
index_j = 0
outputs = none
property_name = cauchy_stress_yx
rank_two_tensor = cauchy_stress
[]
[cauchy_stress_yy_all]
type = RankTwoCartesianComponent
block = ''
index_i = 1
index_j = 1
outputs = none
property_name = cauchy_stress_yy
rank_two_tensor = cauchy_stress
[]
[cauchy_stress_yz_all]
type = RankTwoCartesianComponent
block = ''
index_i = 1
index_j = 2
outputs = none
property_name = cauchy_stress_yz
rank_two_tensor = cauchy_stress
[]
[cauchy_stress_zx_all]
type = RankTwoCartesianComponent
block = ''
index_i = 2
index_j = 0
outputs = none
property_name = cauchy_stress_zx
rank_two_tensor = cauchy_stress
[]
[cauchy_stress_zy_all]
type = RankTwoCartesianComponent
block = ''
index_i = 2
index_j = 1
outputs = none
property_name = cauchy_stress_zy
rank_two_tensor = cauchy_stress
[]
[cauchy_stress_zz_all]
type = RankTwoCartesianComponent
block = ''
index_i = 2
index_j = 2
outputs = none
property_name = cauchy_stress_zz
rank_two_tensor = cauchy_stress
[]
[deformation_gradient_xx_all]
type = RankTwoCartesianComponent
block = ''
index_i = 0
index_j = 0
outputs = none
property_name = deformation_gradient_xx
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_xy_all]
type = RankTwoCartesianComponent
block = ''
index_i = 0
index_j = 1
outputs = none
property_name = deformation_gradient_xy
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_xz_all]
type = RankTwoCartesianComponent
block = ''
index_i = 0
index_j = 2
outputs = none
property_name = deformation_gradient_xz
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_yx_all]
type = RankTwoCartesianComponent
block = ''
index_i = 1
index_j = 0
outputs = none
property_name = deformation_gradient_yx
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_yy_all]
type = RankTwoCartesianComponent
block = ''
index_i = 1
index_j = 1
outputs = none
property_name = deformation_gradient_yy
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_yz_all]
type = RankTwoCartesianComponent
block = ''
index_i = 1
index_j = 2
outputs = none
property_name = deformation_gradient_yz
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_zx_all]
type = RankTwoCartesianComponent
block = ''
index_i = 2
index_j = 0
outputs = none
property_name = deformation_gradient_zx
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_zy_all]
type = RankTwoCartesianComponent
block = ''
index_i = 2
index_j = 1
outputs = none
property_name = deformation_gradient_zy
rank_two_tensor = deformation_gradient
[]
[deformation_gradient_zz_all]
type = RankTwoCartesianComponent
block = ''
index_i = 2
index_j = 2
outputs = none
property_name = deformation_gradient_zz
rank_two_tensor = deformation_gradient
[]
[]
[Executioner]
type = Transient
residual_and_jacobian_together = true
solve_type = 'newton'
line_search = 'none'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
l_max_its = 2
l_tol = 1e-14
nl_max_its = 20
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Outputs]
[out]
type = Exodus
[]
[]
[Postprocessors]
[time]
type = TimePostprocessor
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[mCS_xx]
type = ElementAverageValue
variable = cauchy_stress_xx
[]
[mCS_yy]
type = ElementAverageValue
variable = cauchy_stress_yy
[]
[mCS_zz]
type = ElementAverageValue
variable = cauchy_stress_zz
[]
[mCS_xy]
type = ElementAverageValue
variable = cauchy_stress_xy
[]
[mCS_xz]
type = ElementAverageValue
variable = cauchy_stress_xz
[]
[mCS_yx]
type = ElementAverageValue
variable = cauchy_stress_yx
[]
[mCS_yz]
type = ElementAverageValue
variable = cauchy_stress_yz
[]
[mCS_zy]
type = ElementAverageValue
variable = cauchy_stress_zy
[]
[mCS_zx]
type = ElementAverageValue
variable = cauchy_stress_zx
[]
[]