- homogenization_constraintThe UserObject for defining the homogenization constraint
C++ Type:UserObjectName
Unit:(no unit assumed)
Controllable:No
Description:The UserObject for defining the homogenization constraint
- macro_gradientScalar field defining the macro gradient
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Scalar field defining the macro gradient
ComputeHomogenizedLagrangianStrain
Overview
This simple material is part of the Lagrangian kernel homogenization system. It extracts the values of the homogenization strain or deformation gradient from a ScalarVariable and defines the appropriate gradient tensor. The ComputeLagrangianStrain then adds this extra gradient to the deformation gradient calculated from the displacement field. The homogenization system documentation describes how the strain/gradient components are stored in the ScalarVariable.
The SolidMechanics/QuasiStatic can add this object automatically, which is the recommended way to set up homogenization constraints.
Example Input File Syntax
This example manually specifies the parameters required to initialize the object for a large deformation, 3D example. The important input parameters are macro_gradient, the name of the ScalarVariable, and large_kinematics which determines if the ScalarVariable holds a symmetric small strain tensor (false) or a non-symmetric displacement gradient (large).
[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
[]
[]
Input Parameters
- base_nameMaterial property base name
C++ Type:std::string
Unit:(no unit assumed)
Controllable:No
Description:Material property base name
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Unit:(no unit assumed)
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Unit:(no unit assumed)
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
- computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
Default:True
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
- constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Unit:(no unit assumed)
Options:NONE, ELEMENT, SUBDOMAIN
Controllable:No
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
- declare_suffixAn optional suffix parameter that can be appended to any declared 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 declared properties. The suffix will be prepended with a '_' character.
- homogenization_gradient_namehomogenization_gradientName of the constant gradient field
Default:homogenization_gradient
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:Name of the constant gradient field
- 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
Unit:(no unit assumed)
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Optional Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Unit:(no unit assumed)
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Unit:(no unit assumed)
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Unit:(no unit assumed)
Controllable:No
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
- output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector<std::string>
Unit:(no unit assumed)
Controllable:No
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
- outputsnone Vector of output names where you would like to restrict the output of variables(s) associated with this object
Default:none
C++ Type:std::vector<OutputName>
Unit:(no unit assumed)
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
Outputs Parameters
Input Files
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/sd-strain.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/large-tests/2d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/small-tests/3d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/sd-stress.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/action/noaction_3d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/ld-stress.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/large-tests/3d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/small-tests/1d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/ld-strain.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/action/noaction_2d.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)
# 2D test with just strain control
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
macro_gradient = hvar
homogenization_constraint = homogenization
[]
[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
[]
[]
[UserObjects]
[homogenization]
type = HomogenizationConstraint
constraint_types = ${constraint_types}
targets = ${targets}
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[ScalarKernels]
[enforce]
type = HomogenizationConstraintScalarKernel
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/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'
macro_gradient = hvar
homogenization_constraint = homogenization
[]
[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
[]
[]
[UserObjects]
[homogenization]
type = HomogenizationConstraint
targets = 'strain11 strain12 strain22 strain13 strain23 strain33'
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[ScalarKernels]
[enforce]
type = HomogenizationConstraintScalarKernel
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/homogenization/large-tests/2d.i)
# 2D with mixed conditions on stress/strain
[GlobalParams]
displacements = 'disp_x disp_y'
large_kinematics = true
macro_gradient = hvar
homogenization_constraint = homogenization
[]
[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
[]
[]
[UserObjects]
[homogenization]
type = HomogenizationConstraint
constraint_types = ${constraint_types}
targets = ${targets}
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[]
[ScalarKernels]
[enforce]
type = HomogenizationConstraintScalarKernel
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/small-tests/3d.i)
# 2D test with just strain control
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
macro_gradient = hvar
homogenization_constraint = homogenization
[]
[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
[]
[]
[UserObjects]
[homogenization]
type = HomogenizationConstraint
constraint_types = ${constraint_types}
targets = ${targets}
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[ScalarKernels]
[enforce]
type = HomogenizationConstraintScalarKernel
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/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'
macro_gradient = hvar
homogenization_constraint = homogenization
[]
[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
[]
[]
[UserObjects]
[homogenization]
type = HomogenizationConstraint
targets = 'stress11 stress12 stress22 stress13 stress23 stress33'
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[ScalarKernels]
[enforce]
type = HomogenizationConstraintScalarKernel
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/action/noaction_3d.i)
# 3D test with just mixed stress strain control
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
constraint_types = 'stress strain strain strain stress strain strain strain strain'
macro_gradient = hvar
homogenization_constraint = homogenization
[]
[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
[]
[]
[UserObjects]
[homogenization]
type = HomogenizationConstraint
targets = 'stress11 strain21 strain31 strain12 stress22 strain32 strain13 strain23 strain33'
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[ScalarKernels]
[enforce]
type = HomogenizationConstraintScalarKernel
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'
[]
[zero]
type = ConstantFunction
expression = 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
[]
[]
[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/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
homogenization_constraint = homogenization
[]
[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
[]
[]
[UserObjects]
[homogenization]
type = HomogenizationConstraint
targets = 'stress11 zero zero stress12 stress22 zero stress13 stress23 stress33'
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[ScalarKernels]
[enforce]
type = HomogenizationConstraintScalarKernel
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/large-tests/3d.i)
# 2D test with just strain control
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
macro_gradient = hvar
homogenization_constraint = homogenization
[]
[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
[]
[]
[UserObjects]
[homogenization]
type = HomogenizationConstraint
constraint_types = ${constraint_types}
targets = ${targets}
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[ScalarKernels]
[enforce]
type = HomogenizationConstraintScalarKernel
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/1d.i)
# 1D strain controlled test
[GlobalParams]
displacements = 'disp_x'
large_kinematics = false
macro_gradient = hvar
homogenization_constraint = homogenization
[]
[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
[]
[]
[UserObjects]
[homogenization]
type = HomogenizationConstraint
constraint_types = ${constraint_types}
targets = ${targets}
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[]
[ScalarKernels]
[enforce]
type = HomogenizationConstraintScalarKernel
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/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'
macro_gradient = hvar
homogenization_constraint = homogenization
[]
[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
[]
[]
[UserObjects]
[homogenization]
type = HomogenizationConstraint
targets = 'strain11 strain21 strain31 strain12 strain22 strain32 strain13 strain23 strain33'
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[ScalarKernels]
[enforce]
type = HomogenizationConstraintScalarKernel
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/large-tests/1d.i)
# 1D strain controlled test
[GlobalParams]
displacements = 'disp_x'
large_kinematics = true
macro_gradient = hvar
homogenization_constraint = homogenization
[]
[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
[]
[]
[UserObjects]
[homogenization]
type = HomogenizationConstraint
constraint_types = ${constraint_types}
targets = ${targets}
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[]
[ScalarKernels]
[enforce]
type = HomogenizationConstraintScalarKernel
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
homogenization_constraint = homogenization
[]
[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
[]
[]
[UserObjects]
[homogenization]
type = HomogenizationConstraint
constraint_types = ${constraint_types}
targets = ${targets}
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[]
[ScalarKernels]
[enforce]
type = HomogenizationConstraintScalarKernel
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/action/noaction_2d.i)
# 2D with mixed conditions on stress/strain
[GlobalParams]
displacements = 'disp_x disp_y'
large_kinematics = false
macro_gradient = hvar
homogenization_constraint = homogenization
[]
[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'
[]
[]
[UserObjects]
[homogenization]
type = HomogenizationConstraint
constraint_types = 'stress none none stress strain none none none none'
targets = 'stress11 stress12 strain22'
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[]
[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
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[]
[ScalarKernels]
[enforce]
type = HomogenizationConstraintScalarKernel
variable = hvar
[]
[]
[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
[]
[]
[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/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
homogenization_constraint = homogenization
[]
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 5
ny = 5
[]
use_displaced_mesh = false
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[hvar]
family = SCALAR
order = FIRST
[]
[]
[UserObjects]
[homogenization]
type = HomogenizationConstraint
constraint_types = ${constraint_types}
targets = ${targets}
execute_on = 'INITIAL LINEAR NONLINEAR'
[]
[]
[ScalarKernels]
[enforce]
type = HomogenizationConstraintScalarKernel
variable = hvar
[]
[]
[Kernels]
[sdx]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = HomogenizedTotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[]
[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
[]