- homogenization_constraintThe UserObject defining the homogenization constraint
C++ Type:UserObjectName
Controllable:No
Description:The UserObject defining the homogenization constraint
- variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this residual object operates on
HomogenizationConstraintScalarKernel
Calculate the scalar equation residual and Jacobian associated with the homogenization constraint.
Overview
This ScalarKernel inputs the residual contributions from the Lagrangian kernel homogenization system. The HomogenizationConstraint UserObject computes the actual values of the residual volume integrals and the HomogenizedTotalLagrangianStressDivergence Kernel handles all the off-diagonal Jacobian terms. This ScalarKernel only supplies the residual and on-diagonal Jacobian.
The SolidMechanics/QuasiStatic can add this object automatically, which is the recommended way to set up homogenization constraints.
Example Input File Syntax
The following example manually specifies the parameters required to setup the object for a 3D, large deformation homogenization problem. In this case the name of the HomogenizationConstraint is integrator, ndim sets the dimensionality of the problem, and large_kinematics controls if large or small deformation kinematics apply.
[ScalarKernels<<<{"href": "../../../syntax/ScalarKernels/index.html"}>>>]
[enforce]
type = HomogenizationConstraintScalarKernel<<<{"description": "Calculate the scalar equation residual and Jacobian associated with the homogenization constraint.", "href": "HomogenizationConstraintScalarKernel.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = hvar
[]
[]Input Parameters
- matrix_onlyFalseWhether this object is only doing assembly to matrices (no vectors)
Default:False
C++ Type:bool
Controllable:No
Description:Whether this object is only doing assembly to matrices (no vectors)
Optional Parameters
- absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
- extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the matrices this Kernel should fill
- extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the vectors this Kernel should fill
- matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Options:nontime, system
Controllable:No
Description:The tag for the matrices this Kernel should fill
- vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Options:nontime, time
Controllable:No
Description:The tag for the vectors this Kernel should fill
Contribution To Tagged Field Data Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
Input Files
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/ld-stress.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/ld-strain.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/small-tests/1d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/action/noaction_2d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/sd-stress.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/large-tests/3d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/large-tests/1d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/convergence/sd-strain.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/action/noaction_3d.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/small-tests/3d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/small-tests/2d.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/large-tests/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/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/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/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/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/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/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/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/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/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/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
[]
(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/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/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
[]