- componentAn integer corresponding to the direction the variable this kernel acts in. (0 for x, 1 for y, 2 for z)
C++ Type:unsigned int
Controllable:No
Description:An integer corresponding to the direction the variable this kernel acts in. (0 for x, 1 for y, 2 for z)
- displacementsThe displacement components
C++ Type:std::vector<VariableName>
Controllable:No
Description:The displacement components
- variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Controllable:No
Description:The name of the variable that this residual object operates on
TotalLagrangianStressDivergence
Total Lagrangian stress equilibrium kernel
Description
The TotalLagrangianStressDivergence kernel calculates the stress equilibrium residual in the reference configuration using the pk1_stress (the 1st Piola-Kirchhoff stress). This kernel provides the residual for Cartesian coordinates and the user needs to add one kernel for each dimension of the problem. Alternatively, the TensorMechanics/MasterAction simplifies the process of adding the required kernels and setting up the input parameters.
Residual, Jacobian, and stabilization
For large deformation kinematics the kernel applies the residual giving the weak form of the divergence of the 1st Piola Kirchhoff stress with respect to the reference coordinates with the corresponding Jacobian where is the first Piola-Kirchhoff stress, are the test function gradients (with respect to the reference coordinates) and with the discrete (nodal) displacements. For the unstabilized case with the trial function gradients with respect to the reference coordinates.
The residual and Jacobian degenerate to and for the small deformation case, with the small stress, with the small strain and for the unstabilized case. The large_kinematics flag controls the kinematic theory.
The constitutive model needs to provide the first Piola-Kirchhoff stress and the derivative of that stress with respect to the deformation gradient. However, the material system provides a common interface to define the constitutive model with any stress and strain measures that are convient, translating the user-defined stress and Jacobian to the correct form automatically.
The kernel is compatible with the modification of the strains to stabilize the problem for incompressible or nearly incompressible deformation. This form of stabilization does not modify the residual equation, though the modified strain does change the constitutive model stress update. The strain modification does affect the Jacobian by altering the definition of the gradient tensors. With the modified strains applied these become for small deformations with and for large deformations with and the average deformation gradient, defined in the stabilization system documentation.
Example Input File Syntax
The following illustrates manually including 3D stress equilibrium with the total Lagrangian formulation, using large deformation kinematics.
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
large_kinematics = true
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
large_kinematics = true
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
large_kinematics = true
[]
[]
Input Parameters
- base_nameMaterial property base name
C++ Type:std::string
Controllable:No
Description:Material property base name
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- eigenstrain_namesList of eigenstrains used in the strain calculation. Used for computing their derivatives for off-diagonal Jacobian terms.
C++ Type:std::vector<MaterialPropertyName>
Controllable:No
Description:List of eigenstrains used in the strain calculation. Used for computing their derivatives for off-diagonal Jacobian terms.
- large_kinematicsFalseUse large displacement kinematics
Default:False
C++ Type:bool
Controllable:No
Description:Use large displacement kinematics
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- stabilize_strainFalseAverage the volumetric strains
Default:False
C++ Type:bool
Controllable:No
Description:Average the volumetric strains
- temperatureThe name of the temperature variable used in the ComputeThermalExpansionEigenstrain. (Not required for simulations without temperature coupling.)
C++ Type:std::vector<VariableName>
Controllable:No
Description:The name of the temperature variable used in the ComputeThermalExpansionEigenstrain. (Not required for simulations without temperature coupling.)
Optional Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- diag_save_inThe name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Controllable:No
Description:The name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- save_inThe name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Controllable:No
Description:The name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
Advanced Parameters
- 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
Tagging Parameters
Input Files
- (modules/tensor_mechanics/test/tests/lagrangian/total/cross_material/convergence/plastic_j2.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/convergence-auto/3D/dirichlet.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/stabilization/cook_small.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/convergence-auto/1D/neumann.i)
- (modules/tensor_mechanics/test/tests/lagrangian/materials/badproperties/stvenantkirchhoff.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/convergence/1D/neumann.i)
- (modules/tensor_mechanics/test/tests/lagrangian/materials/convergence/neohookean.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/cross_material/correctness/plastic_j2.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/patch/large_patch.i)
- (modules/tensor_mechanics/test/tests/lagrangian/materials/convergence/stvenantkirchhoff.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/action/no_action_1D.i)
- (modules/tensor_mechanics/test/tests/lagrangian/materials/correctness/stvenantkirchhoff.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/cross_material/convergence/elastic.i)
- (modules/tensor_mechanics/test/tests/lagrangian/materials/convergence/cauchy-elastic.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/convergence-auto/1D/dirichlet.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/convergence/2D/neumann.i)
- (modules/tensor_mechanics/test/tests/lagrangian/materials/correctness/cauchy-elastic.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/rates/jaumann_jacobian.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/convergence-auto/3D/neumann.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/special/area.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/action/no_action_L.i)
- (modules/tensor_mechanics/test/tests/lagrangian/materials/convergence/neohookean_small.i)
- (modules/tensor_mechanics/test/tests/lagrangian/materials/correctness/neohookean.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/special/rotate.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/convergence-auto/2D/neumann.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/convergence-auto/2D/dirichlet.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/rates/truesdell_shear.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/convergence/L/large.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/special/objective_shear.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/rates/jaumann_shear.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/stabilization/cook_large.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/convergence/2D/dirichlet.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/convergence/3D/dirichlet.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/rates/truesdell_jacobian.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/convergence/3D/neumann.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/patch/small_patch.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/special/patch.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/thermal_expansion/jactest.i)
- (modules/tensor_mechanics/test/tests/lagrangian/materials/convergence/stvenantkirchhoff_small.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/convergence/L/small.i)
- (modules/tensor_mechanics/test/tests/lagrangian/total/convergence/1D/dirichlet.i)
Child Objects
(modules/tensor_mechanics/test/tests/lagrangian/total/patch/large_patch.i)
[Mesh]
[base]
type = FileMeshGenerator
file = 'patch.xda'
[]
[sets]
input = base
type = SideSetsFromPointsGenerator
new_boundary = 'left right bottom top back front'
points = ' 0 0.5 0.5
1 0.5 0.5
0.5 0.0 0.5
'
' 0.5 1.0 0.5
0.5 0.5 0.0
0.5 0.5 1.0'
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
large_kinematics = true
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
large_kinematics = true
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
large_kinematics = true
[]
[]
[AuxVariables]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[strain_yy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[strain_zz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[strain_xy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[strain_xz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[strain_yz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[]
[BCs]
[left]
type = DirichletBC
preset = true
variable = disp_x
boundary = left
value = 0.0
[]
[bottom]
type = DirichletBC
preset = true
variable = disp_y
boundary = bottom
value = 0.0
[]
[back]
type = DirichletBC
preset = true
variable = disp_z
boundary = back
value = 0.0
[]
[front]
type = DirichletBC
preset = true
variable = disp_z
boundary = front
value = 0.1
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1000.0
poissons_ratio = 0.25
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
large_kinematics = true
[]
[compute_strain]
type = ComputeLagrangianStrain
large_kinematics = true
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
dt = 1
solve_type = 'newton'
petsc_options_iname = -pc_type
petsc_options_value = lu
nl_abs_tol = 1e-10
nl_rel_tol = 1e-10
end_time = 1
dtmin = 1.0
[]
[Outputs]
exodus = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/cross_material/convergence/plastic_j2.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 4
ny = 4
nz = 4
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.02
max = 0.02
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.02
max = 0.02
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.02
max = 0.02
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '4000 * t'
[]
[pully]
type = ParsedFunction
value = '-2000 * t'
[]
[pullz]
type = ParsedFunction
value = '3000 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[leftz]
type = DirichletBC
preset = true
boundary = left
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionNeumannBC
boundary = right
variable = disp_x
function = pullx
[]
[pull_y]
type = FunctionNeumannBC
boundary = top
variable = disp_y
function = pully
[]
[pull_z]
type = FunctionNeumannBC
boundary = right
variable = disp_z
function = pullz
[]
[]
[UserObjects]
[./str]
type = TensorMechanicsHardeningPowerRule
value_0 = 100.0
epsilon0 = 1.0
exponent = 1.0
[../]
[./j2]
type = TensorMechanicsPlasticJ2
yield_strength = str
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-9
[../]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianWrappedStress
[]
[compute_stress_base]
type = ComputeMultiPlasticityStress
plastic_models = j2
ep_plastic_tolerance = 1E-9
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 1.0
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/convergence-auto/3D/dirichlet.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
stabilize_strain = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.02
max = 0.02
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.02
max = 0.02
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.02
max = 0.02
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 4
ny = 4
nz = 4
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '0.4 * t'
[]
[pully]
type = ParsedFunction
value = '-0.2 * t'
[]
[pullz]
type = ParsedFunction
value = '0.3 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[leftz]
type = DirichletBC
preset = true
boundary = left
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionDirichletBC
boundary = right
variable = disp_x
function = pullx
preset = true
[]
[pull_y]
type = FunctionDirichletBC
boundary = top
variable = disp_y
function = pully
preset = true
[]
[pull_z]
type = FunctionDirichletBC
boundary = right
variable = disp_z
function = pullz
preset = true
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 0.2
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/stabilization/cook_small.i)
[GlobalParams]
displacements = 'disp_x disp_y'
large_kinematics = false
stabilize_strain = true
[]
[Mesh]
type = FileMesh
file = cook_mesh.exo
dim = 2
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[]
[AuxVariables]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[strain_yy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[strain_zz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[strain_xy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[strain_xz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[strain_yz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[]
[BCs]
[fixed_x]
type = DirichletBC
preset = true
variable = disp_x
boundary = canti
value = 0.0
[]
[fixed_y]
type = DirichletBC
preset = true
variable = disp_y
boundary = canti
value = 0.0
[]
[pull]
type = NeumannBC
variable = disp_y
boundary = loading
value = 10.0
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 250.0
poissons_ratio = 0.4999999
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Steady
solve_type = 'newton'
line_search = 'none'
petsc_options_iname = -pc_type
petsc_options_value = lu
nl_abs_tol = 1e-10
nl_rel_tol = 1e-6
l_tol = 1e-10
[]
[Postprocessors]
[value]
type = PointValue
variable = disp_y
point = '48 60 0'
use_displaced_mesh = false
[]
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/convergence-auto/1D/neumann.i)
# Simple 1D plane strain test
[GlobalParams]
displacements = 'disp_x'
large_kinematics = true
stabilize_strain = true
[]
[Variables]
[disp_x]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 1
nx = 10
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[]
[Functions]
[pull]
type = ParsedFunction
value = '200 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = right
variable = disp_x
value = 0.0
[]
[pull]
type = FunctionNeumannBC
boundary = left
variable = disp_x
function = pull
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 5.0
dtmin = 5.0
end_time = 5.0
[]
(modules/tensor_mechanics/test/tests/lagrangian/materials/badproperties/stvenantkirchhoff.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 1
ny = 1
nz = 1
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[strain]
type = ParsedFunction
value = 't'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[boty]
type = DirichletBC
preset = true
boundary = bottom
variable = disp_y
value = 0.0
[]
[backz]
type = DirichletBC
preset = true
boundary = back
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionDirichletBC
boundary = right
variable = disp_x
function = strain
[]
[]
[Materials]
[elastic_tensor]
type = ComputeElasticityTensor
C_ijkl = '102272 113636 113636 1022726 454545'
fill_method = axisymmetric_rz
[]
[compute_stress]
type = ComputeStVenantKirchhoffStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[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
[]
[]
[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 = 5
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.01
dtmin = 0.01
end_time = 0.01
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/convergence/1D/neumann.i)
# Simple 1D plane strain test
[GlobalParams]
displacements = 'disp_x'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 1
nx = 10
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[]
[Functions]
[pull]
type = ParsedFunction
value = '200 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = right
variable = disp_x
value = 0.0
[]
[pull]
type = FunctionNeumannBC
boundary = left
variable = disp_x
function = pull
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 5.0
[]
[Postprocessors]
[nonlin]
type = NumNonlinearIterations
[]
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/materials/convergence/neohookean.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 4
ny = 4
nz = 4
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.01
max = 0.01
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.01
max = 0.01
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.01
max = 0.01
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '400 * t'
[]
[pully]
type = ParsedFunction
value = '-200 * t'
[]
[pullz]
type = ParsedFunction
value = '300 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[leftz]
type = DirichletBC
preset = true
boundary = left
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionNeumannBC
boundary = right
variable = disp_x
function = pullx
[]
[pull_y]
type = FunctionNeumannBC
boundary = top
variable = disp_y
function = pully
[]
[pull_z]
type = FunctionNeumannBC
boundary = right
variable = disp_z
function = pullz
[]
[]
[Materials]
[compute_stress]
type = ComputeNeoHookeanStress
lambda = 40000.0
mu = 67000.0
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 3
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 1.0
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/cross_material/correctness/plastic_j2.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 2
ny = 1
nz = 1
[]
[]
[AuxVariables]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[strain_yy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[strain_zz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[strain_xy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[strain_xz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[strain_yz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = 't'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = bottom
variable = disp_y
value = 0.0
[]
[leftz]
type = DirichletBC
preset = true
boundary = back
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionDirichletBC
boundary = right
variable = disp_x
function = pullx
[]
[]
[UserObjects]
[./str]
type = TensorMechanicsHardeningPowerRule
value_0 = 100.0
epsilon0 = 0.1
exponent = 2.0
[../]
[./j2]
type = TensorMechanicsPlasticJ2
yield_strength = str
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-9
[../]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianWrappedStress
[]
[compute_stress_base]
type = ComputeMultiPlasticityStress
plastic_models = j2
ep_plastic_tolerance = 1E-9
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Postprocessors]
[./strain]
type = ElementAverageValue
variable = strain_xx
[]
[./stress]
type = ElementAverageValue
variable = stress_xx
[]
[]
[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 = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.001
dtmin = 0.001
end_time = 0.05
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/patch/large_patch.i)
[Mesh]
[base]
type = FileMeshGenerator
file = 'patch.xda'
[]
[sets]
input = base
type = SideSetsFromPointsGenerator
new_boundary = 'left right bottom top back front'
points = ' 0 0.5 0.5
1 0.5 0.5
0.5 0.0 0.5
'
' 0.5 1.0 0.5
0.5 0.5 0.0
0.5 0.5 1.0'
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
large_kinematics = true
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
large_kinematics = true
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
large_kinematics = true
[]
[]
[AuxVariables]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[strain_yy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[strain_zz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[strain_xy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[strain_xz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[strain_yz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[]
[BCs]
[left]
type = DirichletBC
preset = true
variable = disp_x
boundary = left
value = 0.0
[]
[bottom]
type = DirichletBC
preset = true
variable = disp_y
boundary = bottom
value = 0.0
[]
[back]
type = DirichletBC
preset = true
variable = disp_z
boundary = back
value = 0.0
[]
[front]
type = DirichletBC
preset = true
variable = disp_z
boundary = front
value = 0.1
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1000.0
poissons_ratio = 0.25
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
large_kinematics = true
[]
[compute_strain]
type = ComputeLagrangianStrain
large_kinematics = true
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
dt = 1
solve_type = 'newton'
petsc_options_iname = -pc_type
petsc_options_value = lu
nl_abs_tol = 1e-10
nl_rel_tol = 1e-10
end_time = 1
dtmin = 1.0
[]
[Outputs]
exodus = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/materials/convergence/stvenantkirchhoff.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 4
ny = 4
nz = 4
[]
[]
[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
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '4000 * t'
[]
[pully]
type = ParsedFunction
value = '-2000 * t'
[]
[pullz]
type = ParsedFunction
value = '3000 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[leftz]
type = DirichletBC
preset = true
boundary = left
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionNeumannBC
boundary = right
variable = disp_x
function = pullx
[]
[pull_y]
type = FunctionNeumannBC
boundary = top
variable = disp_y
function = pully
[]
[pull_z]
type = FunctionNeumannBC
boundary = right
variable = disp_z
function = pullz
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
shear_modulus = 67000.0
lambda = 40000.0
[]
[compute_stress]
type = ComputeStVenantKirchhoffStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 3
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 2.0
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/action/no_action_1D.i)
# Simple 1D plane strain test
[GlobalParams]
displacements = 'disp_x'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 1
nx = 10
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[]
[Functions]
[pull]
type = ParsedFunction
value = '0.06 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = right
variable = disp_x
value = 0.0
[]
[pull]
type = FunctionDirichletBC
boundary = left
variable = disp_x
function = pull
preset = true
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[stress_base]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 5.0
[]
[Outputs]
exodus = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/materials/correctness/stvenantkirchhoff.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 1
ny = 1
nz = 1
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[strain]
type = ParsedFunction
value = 't'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[boty]
type = DirichletBC
preset = true
boundary = bottom
variable = disp_y
value = 0.0
[]
[backz]
type = DirichletBC
preset = true
boundary = back
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionDirichletBC
boundary = right
variable = disp_x
function = strain
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
shear_modulus = 67000.0
lambda = 40000.0
[]
[compute_stress]
type = ComputeStVenantKirchhoffStress
large_kinematics = true
[]
[compute_strain]
type = ComputeLagrangianStrain
large_kinematics = true
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[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
[]
[]
[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 = 5
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.01
dtmin = 0.01
end_time = 0.01
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/cross_material/convergence/elastic.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 4
ny = 4
nz = 4
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.02
max = 0.02
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.02
max = 0.02
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.02
max = 0.02
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '4000 * t'
[]
[pully]
type = ParsedFunction
value = '-2000 * t'
[]
[pullz]
type = ParsedFunction
value = '3000 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[leftz]
type = DirichletBC
preset = true
boundary = left
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionNeumannBC
boundary = right
variable = disp_x
function = pullx
[]
[pull_y]
type = FunctionNeumannBC
boundary = top
variable = disp_y
function = pully
[]
[pull_z]
type = FunctionNeumannBC
boundary = right
variable = disp_z
function = pullz
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianWrappedStress
[]
[compute_stress_base]
type = ComputeFiniteStrainElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 1.0
[]
(modules/tensor_mechanics/test/tests/lagrangian/materials/convergence/cauchy-elastic.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 4
ny = 4
nz = 4
[]
[]
[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
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '4000 * t'
[]
[pully]
type = ParsedFunction
value = '-2000 * t'
[]
[pullz]
type = ParsedFunction
value = '3000 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[leftz]
type = DirichletBC
preset = true
boundary = left
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionNeumannBC
boundary = right
variable = disp_x
function = pullx
[]
[pull_y]
type = FunctionNeumannBC
boundary = top
variable = disp_y
function = pully
[]
[pull_z]
type = FunctionNeumannBC
boundary = right
variable = disp_z
function = pullz
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 3
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 1.0
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/convergence-auto/1D/dirichlet.i)
# Simple 1D plane strain test
[GlobalParams]
displacements = 'disp_x'
large_kinematics = true
stabilize_strain = true
[]
[Variables]
[disp_x]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 1
nx = 10
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[]
[Functions]
[pull]
type = ParsedFunction
value = '0.06 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = right
variable = disp_x
value = 0.0
[]
[pull]
type = FunctionDirichletBC
boundary = left
variable = disp_x
function = pull
preset = true
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 5.0
dtmin = 5.0
end_time = 5.0
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/convergence/2D/neumann.i)
# Simple 2D plane strain test
[GlobalParams]
displacements = 'disp_x disp_y'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 2
nx = 4
ny = 4
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '50000 * t'
[]
[pully]
type = ParsedFunction
value = '-30000 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[pull_x]
type = FunctionNeumannBC
boundary = right
variable = disp_x
function = pullx
[]
[pull_y]
type = FunctionNeumannBC
boundary = top
variable = disp_y
function = pully
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-10
nl_abs_tol = 1e-12
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Postprocessors]
[nonlin]
type = NumNonlinearIterations
[]
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/materials/correctness/cauchy-elastic.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 1
ny = 1
nz = 1
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[strain]
type = ParsedFunction
value = 't'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[boty]
type = DirichletBC
preset = true
boundary = bottom
variable = disp_y
value = 0.0
[]
[backz]
type = DirichletBC
preset = true
boundary = back
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionDirichletBC
boundary = right
variable = disp_x
function = strain
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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'
[]
[]
[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 = cauchy_stress
index_i = 0
index_j = 0
[]
[syy]
type = RankTwoAux
variable = syy
rank_two_tensor = cauchy_stress
index_i = 1
index_j = 1
[]
[sxy]
type = RankTwoAux
variable = sxy
rank_two_tensor = cauchy_stress
index_i = 0
index_j = 1
[]
[zz]
type = RankTwoAux
variable = szz
rank_two_tensor = cauchy_stress
index_i = 2
index_j = 2
[]
[syz]
type = RankTwoAux
variable = syz
rank_two_tensor = cauchy_stress
index_i = 1
index_j = 2
[]
[sxz]
type = RankTwoAux
variable = sxz
rank_two_tensor = cauchy_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
[]
[]
[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 = 5
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.1
dtmin = 0.1
end_time = 0.1
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/rates/jaumann_jacobian.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 4
ny = 4
nz = 4
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.02
max = 0.02
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.02
max = 0.02
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.02
max = 0.02
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '4000 * t'
[]
[pully]
type = ParsedFunction
value = '-2000 * t'
[]
[pullz]
type = ParsedFunction
value = '3000 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[leftz]
type = DirichletBC
preset = true
boundary = left
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionNeumannBC
boundary = right
variable = disp_x
function = pullx
[]
[pull_y]
type = FunctionNeumannBC
boundary = top
variable = disp_y
function = pully
[]
[pull_z]
type = FunctionNeumannBC
boundary = right
variable = disp_z
function = pullz
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
objective_rate = jaumann
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 1.0
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/convergence-auto/3D/neumann.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
stabilize_strain = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 4
ny = 4
nz = 4
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.02
max = 0.02
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.02
max = 0.02
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.02
max = 0.02
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '4000 * t'
[]
[pully]
type = ParsedFunction
value = '-2000 * t'
[]
[pullz]
type = ParsedFunction
value = '3000 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[leftz]
type = DirichletBC
preset = true
boundary = left
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionNeumannBC
boundary = right
variable = disp_x
function = pullx
[]
[pull_y]
type = FunctionNeumannBC
boundary = top
variable = disp_y
function = pully
[]
[pull_z]
type = FunctionNeumannBC
boundary = right
variable = disp_z
function = pullz
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 1.0
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/special/area.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 1
ny = 1
nz = 1
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[AuxVariables]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[zstress]
type = PiecewiseLinear
x = '0 1'
y = '0 500'
[]
[constant]
type = ConstantFunction
value = 1.0
[]
[ratio]
type = ParsedFunction
vars = 'sd su'
vals = 's_def s_undef'
value = 'sd / su'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[boty]
type = DirichletBC
preset = true
boundary = bottom
variable = disp_y
value = 0.0
[]
[backz]
type = DirichletBC
preset = true
boundary = back
variable = disp_z
value = 0.0
[]
[pull_z]
type = FunctionNeumannBC
boundary = front
variable = disp_z
function = zstress
[]
[]
[AuxKernels]
[stress_zz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1000.0
poissons_ratio = 0.25
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Postprocessors]
[s_undef]
type = SideIntegralVariablePostprocessor
variable = stress_zz
boundary = front
[]
[s_def]
type = SideIntegralVariablePostprocessor
variable = stress_zz
boundary = front
use_displaced_mesh = true
[]
[area_calc]
type = FunctionValuePostprocessor
function = ratio
[]
[area]
type = AreaPostprocessor
boundary = front
use_displaced_mesh = 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 = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 1.0
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/action/no_action_L.i)
[Mesh]
type = FileMesh
file = 'L.exo'
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
stabilize_strain = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Functions]
[pfn]
type = PiecewiseLinear
x = '0 1 2'
y = '0.00 0.3 0.5'
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[BCs]
[left]
type = DirichletBC
preset = true
variable = disp_x
boundary = fix
value = 0.0
[]
[bottom]
type = DirichletBC
preset = true
variable = disp_y
boundary = fix
value = 0.0
[]
[back]
type = DirichletBC
preset = true
variable = disp_z
boundary = fix
value = 0.0
[]
[front]
type = FunctionDirichletBC
variable = disp_z
boundary = pull
function = pfn
preset = true
[]
[]
[AuxVariables]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[cauchy_stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[cauchy_stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[cauchy_stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[cauchy_stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[cauchy_stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[cauchy_stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[cauchy_stress_xx]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = cauchy_stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[cauchy_stress_yy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = cauchy_stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[cauchy_stress_zz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = cauchy_stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[cauchy_stress_xy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = cauchy_stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[cauchy_stress_xz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = cauchy_stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[cauchy_stress_yz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = cauchy_stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[strain_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[strain_xy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[strain_xz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[strain_yz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.25
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
petsc_options_iname = -pc_type
petsc_options_value = lu
nl_abs_tol = 1e-10
nl_rel_tol = 1e-8
end_time = 1.0
dtmin = 0.5
dt = 0.5
[]
[Outputs]
exodus = true
csv = false
[]
(modules/tensor_mechanics/test/tests/lagrangian/materials/convergence/neohookean_small.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 4
ny = 4
nz = 4
[]
[]
[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
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '4000 * t'
[]
[pully]
type = ParsedFunction
value = '-2000 * t'
[]
[pullz]
type = ParsedFunction
value = '3000 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[leftz]
type = DirichletBC
preset = true
boundary = left
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionNeumannBC
boundary = right
variable = disp_x
function = pullx
[]
[pull_y]
type = FunctionNeumannBC
boundary = top
variable = disp_y
function = pully
[]
[pull_z]
type = FunctionNeumannBC
boundary = right
variable = disp_z
function = pullz
[]
[]
[Materials]
[compute_stress]
type = ComputeNeoHookeanStress
lambda = 4000.0
mu = 6700.0
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 3
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 2.0
[]
(modules/tensor_mechanics/test/tests/lagrangian/materials/correctness/neohookean.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 1
ny = 1
nz = 1
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[strain]
type = ParsedFunction
value = 't'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[boty]
type = DirichletBC
preset = true
boundary = bottom
variable = disp_y
value = 0.0
[]
[backz]
type = DirichletBC
preset = true
boundary = back
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionDirichletBC
boundary = right
variable = disp_x
function = strain
[]
[]
[Materials]
[compute_stress]
type = ComputeNeoHookeanStress
lambda = 4000.0
mu = 6700.0
large_kinematics = true
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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
[]
[]
[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'
[]
[]
[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 = 10
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 1.0
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/special/rotate.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[angles]
type = PiecewiseLinear
x = '0 1 2'
y = '0 0 1.5707963'
[]
[stretch]
type = PiecewiseLinear
x = '0 1 2'
y = '0 0.1 0.1'
[]
[move_y]
type = ParsedFunction
value = 'y*cos(theta) - z * (1 + a)*sin(theta) - y'
vars = 'a theta'
vals = 'stretch angles'
[]
[move_z]
type = ParsedFunction
value = 'y*sin(theta) + z*(1+a)*cos(theta) - z'
vars = 'a theta'
vals = 'stretch angles'
[]
[dts]
type = PiecewiseConstant
x = '0 1 2'
y = '0.1 0.001 0.001'
direction = 'LEFT_INCLUSIVE'
[]
[]
[BCs]
[fix]
type = DirichletBC
preset = true
value = 0.0
boundary = left
variable = disp_x
[]
[front_y]
type = FunctionDirichletBC
boundary = front
variable = disp_y
function = move_y
preset = true
[]
[back_y]
type = FunctionDirichletBC
boundary = back
variable = disp_y
function = move_y
preset = true
[]
[front_z]
type = FunctionDirichletBC
boundary = front
variable = disp_z
function = move_z
preset = true
[]
[back_z]
type = FunctionDirichletBC
boundary = back
variable = disp_z
function = move_z
preset = true
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1000.0
poissons_ratio = 0.25
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Postprocessors]
[sxx]
type = ElementAverageValue
variable = stress_xx
[]
[syy]
type = ElementAverageValue
variable = stress_yy
[]
[szz]
type = ElementAverageValue
variable = stress_zz
[]
[syz]
type = ElementAverageValue
variable = stress_yz
[]
[sxz]
type = ElementAverageValue
variable = stress_xz
[]
[sxy]
type = ElementAverageValue
variable = stress_xy
[]
[]
[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 = 15
nl_rel_tol = 1e-4
nl_abs_tol = 1e-6
start_time = 0.0
end_time = 2.0
[TimeStepper]
type = FunctionDT
function = dts
interpolate = False
[]
[]
[Outputs]
exodus = true
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/convergence-auto/2D/neumann.i)
# Simple 2D plane strain test
[GlobalParams]
displacements = 'disp_x disp_y'
large_kinematics = true
stabilize_strain = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.01
max = 0.01
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.01
max = 0.01
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 2
nx = 4
ny = 4
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '50000 * t'
[]
[pully]
type = ParsedFunction
value = '-30000 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[pull_x]
type = FunctionNeumannBC
boundary = right
variable = disp_x
function = pullx
[]
[pull_y]
type = FunctionNeumannBC
boundary = top
variable = disp_y
function = pully
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-10
nl_abs_tol = 1e-12
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 1.0
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/convergence-auto/2D/dirichlet.i)
# Simple 2D plane strain test
[GlobalParams]
displacements = 'disp_x disp_y'
large_kinematics = true
stabilize_strain = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 2
nx = 4
ny = 4
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.01
max = 0.01
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.01
max = 0.01
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '0.5 * t'
[]
[pully]
type = ParsedFunction
value = '-0.3 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[pull_x]
type = FunctionDirichletBC
boundary = right
variable = disp_x
function = pullx
preset = true
[]
[pull_y]
type = FunctionDirichletBC
boundary = top
variable = disp_y
function = pully
preset = true
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-10
nl_abs_tol = 1e-12
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 0.2
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/rates/truesdell_shear.i)
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 1
ny = 1
nz = 1
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[AuxVariables]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[strain_yy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[strain_zz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[strain_xy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[strain_xz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[strain_yz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[]
[Functions]
[shearme]
type = PiecewiseLinear
x = '0 10'
y = '0 20'
[]
[]
[BCs]
[back]
type = DirichletBC
preset = true
variable = disp_z
boundary = back
value = 0.0
[]
[bottom_y]
type = DirichletBC
preset = true
variable = disp_y
boundary = bottom
value = 0.0
[]
[bottom_x]
type = DirichletBC
preset = true
variable = disp_x
boundary = bottom
value = 0.0
[]
[shear]
type = FunctionDirichletBC
variable = disp_x
boundary = top
function = shearme
preset = true
[]
[hmm]
type = DirichletBC
preset = true
variable = disp_y
boundary = top
value = 0.0
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
objective_rate = truesdell
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[Postprocessors]
[exy]
type = ElementAverageValue
variable = strain_xy
execute_on = 'initial timestep_end'
[]
[sxy]
type = ElementAverageValue
variable = stress_xy
execute_on = 'initial timestep_end'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
dt = 0.01
solve_type = 'newton'
petsc_options_iname = -pc_type
petsc_options_value = lu
nl_abs_tol = 1e-10
nl_rel_tol = 1e-10
end_time = 4
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/convergence/L/large.i)
[Mesh]
type = FileMesh
file = 'L.exo'
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Functions]
[pfn]
type = PiecewiseLinear
x = '0 1 2'
y = '0.00 0.3 0.5'
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[BCs]
[left]
type = DirichletBC
preset = true
variable = disp_x
boundary = fix
value = 0.0
[]
[bottom]
type = DirichletBC
preset = true
variable = disp_y
boundary = fix
value = 0.0
[]
[back]
type = DirichletBC
preset = true
variable = disp_z
boundary = fix
value = 0.0
[]
[front]
type = FunctionDirichletBC
variable = disp_z
boundary = pull
function = pfn
preset = true
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.25
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
petsc_options_iname = -pc_type
petsc_options_value = lu
nl_abs_tol = 1e-10
nl_rel_tol = 1e-8
end_time = 1.0
dtmin = 0.5
dt = 0.5
[]
[Postprocessors]
[nonlin]
type = NumNonlinearIterations
[]
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/special/objective_shear.i)
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 1
ny = 1
nz = 1
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[AuxVariables]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[strain_yy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[strain_zz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[strain_xy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[strain_xz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[strain_yz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[]
[Functions]
[shearme]
type = PiecewiseLinear
x = '0 1'
y = '0 2'
[]
[]
[BCs]
[back]
type = DirichletBC
preset = true
variable = disp_z
boundary = back
value = 0.0
[]
[bottom_y]
type = DirichletBC
preset = true
variable = disp_y
boundary = bottom
value = 0.0
[]
[bottom_x]
type = DirichletBC
preset = true
variable = disp_x
boundary = bottom
value = 0.0
[]
[shear]
type = FunctionDirichletBC
variable = disp_x
boundary = top
function = shearme
preset = true
[]
[hmm]
type = DirichletBC
preset = true
variable = disp_y
boundary = top
value = 0.0
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1000.0
poissons_ratio = 0.25
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
dt = 0.01
solve_type = 'newton'
petsc_options_iname = -pc_type
petsc_options_value = lu
nl_abs_tol = 1e-10
nl_rel_tol = 1e-10
end_time = 1
[]
[Outputs]
exodus = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/rates/jaumann_shear.i)
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 1
ny = 1
nz = 1
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[AuxVariables]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = cauchy_stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[strain_yy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[strain_zz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[strain_xy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[strain_xz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[strain_yz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[]
[Functions]
[shearme]
type = PiecewiseLinear
x = '0 10'
y = '0 20'
[]
[]
[BCs]
[back]
type = DirichletBC
preset = true
variable = disp_z
boundary = back
value = 0.0
[]
[bottom_y]
type = DirichletBC
preset = true
variable = disp_y
boundary = bottom
value = 0.0
[]
[bottom_x]
type = DirichletBC
preset = true
variable = disp_x
boundary = bottom
value = 0.0
[]
[shear]
type = FunctionDirichletBC
variable = disp_x
boundary = top
function = shearme
preset = true
[]
[hmm]
type = DirichletBC
preset = true
variable = disp_y
boundary = top
value = 0.0
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
objective_rate = jaumann
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[Postprocessors]
[exy]
type = ElementAverageValue
variable = strain_xy
execute_on = 'initial timestep_end'
[]
[sxy]
type = ElementAverageValue
variable = stress_xy
execute_on = 'initial timestep_end'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
dt = 0.01
solve_type = 'newton'
petsc_options_iname = -pc_type
petsc_options_value = lu
nl_abs_tol = 1e-10
nl_rel_tol = 1e-10
end_time = 4
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/stabilization/cook_large.i)
[GlobalParams]
displacements = 'disp_x disp_y'
large_kinematics = true
stabilize_strain = true
[]
[Mesh]
type = FileMesh
file = cook_mesh.exo
dim = 2
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[]
[AuxVariables]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[strain_yy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[strain_zz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[strain_xy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[strain_xz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[strain_yz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[]
[BCs]
[fixed_x]
type = DirichletBC
preset = true
variable = disp_x
boundary = canti
value = 0.0
[]
[fixed_y]
type = DirichletBC
preset = true
variable = disp_y
boundary = canti
value = 0.0
[]
[pull]
type = NeumannBC
variable = disp_y
boundary = loading
value = 0.1
[]
[]
[Materials]
[compute_stress]
type = ComputeNeoHookeanStress
lambda = 416666611.0991259
mu = 8300.33333888888926
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Steady
solve_type = 'newton'
line_search = 'none'
petsc_options_iname = -pc_type
petsc_options_value = lu
nl_max_its = 500
nl_abs_tol = 1e-5
nl_rel_tol = 1e-6
[]
[Postprocessors]
[value]
type = PointValue
variable = disp_y
point = '48 60 0'
use_displaced_mesh = false
[]
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/convergence/2D/dirichlet.i)
# Simple 2D plane strain test
[GlobalParams]
displacements = 'disp_x disp_y'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 2
nx = 4
ny = 4
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '0.5 * t'
[]
[pully]
type = ParsedFunction
value = '-0.3 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[pull_x]
type = FunctionDirichletBC
boundary = right
variable = disp_x
function = pullx
preset = true
[]
[pull_y]
type = FunctionDirichletBC
boundary = top
variable = disp_y
function = pully
preset = true
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-10
nl_abs_tol = 1e-12
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Postprocessors]
[nonlin]
type = NumNonlinearIterations
[]
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/convergence/3D/dirichlet.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 4
ny = 4
nz = 4
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '0.4 * t'
[]
[pully]
type = ParsedFunction
value = '-0.2 * t'
[]
[pullz]
type = ParsedFunction
value = '0.3 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[leftz]
type = DirichletBC
preset = true
boundary = left
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionDirichletBC
boundary = right
variable = disp_x
function = pullx
preset = true
[]
[pull_y]
type = FunctionDirichletBC
boundary = top
variable = disp_y
function = pully
preset = true
[]
[pull_z]
type = FunctionDirichletBC
boundary = right
variable = disp_z
function = pullz
preset = true
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Postprocessors]
[nonlin]
type = NumNonlinearIterations
[]
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/rates/truesdell_jacobian.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 4
ny = 4
nz = 4
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.02
max = 0.02
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.02
max = 0.02
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.02
max = 0.02
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '4000 * t'
[]
[pully]
type = ParsedFunction
value = '-2000 * t'
[]
[pullz]
type = ParsedFunction
value = '3000 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[leftz]
type = DirichletBC
preset = true
boundary = left
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionNeumannBC
boundary = right
variable = disp_x
function = pullx
[]
[pull_y]
type = FunctionNeumannBC
boundary = top
variable = disp_y
function = pully
[]
[pull_z]
type = FunctionNeumannBC
boundary = right
variable = disp_z
function = pullz
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
objective_rate = truesdell
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 1.0
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/convergence/3D/neumann.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 4
ny = 4
nz = 4
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '4000 * t'
[]
[pully]
type = ParsedFunction
value = '-2000 * t'
[]
[pullz]
type = ParsedFunction
value = '3000 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[leftz]
type = DirichletBC
preset = true
boundary = left
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionNeumannBC
boundary = right
variable = disp_x
function = pullx
[]
[pull_y]
type = FunctionNeumannBC
boundary = top
variable = disp_y
function = pully
[]
[pull_z]
type = FunctionNeumannBC
boundary = right
variable = disp_z
function = pullz
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 0.2
dtmin = 0.2
end_time = 1.0
[]
[Postprocessors]
[nonlin]
type = NumNonlinearIterations
[]
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/patch/small_patch.i)
[Mesh]
[base]
type = FileMeshGenerator
file = 'patch.xda'
[]
[sets]
input = base
type = SideSetsFromPointsGenerator
new_boundary = 'left right bottom top back front'
points = ' 0 0.5 0.5
1 0.5 0.5
0.5 0.0 0.5
'
' 0.5 1.0 0.5
0.5 0.5 0.0
0.5 0.5 1.0'
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[AuxVariables]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = pk1_stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[strain_yy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[strain_zz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[strain_xy]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[strain_xz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[strain_yz]
type = RankTwoAux
rank_two_tensor = mechanical_strain
variable = strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[]
[BCs]
[left]
type = DirichletBC
preset = true
variable = disp_x
boundary = left
value = 0.0
[]
[bottom]
type = DirichletBC
preset = true
variable = disp_y
boundary = bottom
value = 0.0
[]
[back]
type = DirichletBC
preset = true
variable = disp_z
boundary = back
value = 0.0
[]
[front]
type = DirichletBC
preset = true
variable = disp_z
boundary = front
value = 0.1
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1000.0
poissons_ratio = 0.25
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
dt = 1
solve_type = 'newton'
petsc_options_iname = -pc_type
petsc_options_value = lu
nl_abs_tol = 1e-10
nl_rel_tol = 1e-10
end_time = 1
dtmin = 1.0
[]
[Outputs]
exodus = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/special/patch.i)
[Mesh]
[base]
type = FileMeshGenerator
file = 'patch.xda'
[]
[sets]
input = base
type = SideSetsFromPointsGenerator
new_boundary = 'left right bottom top back front'
points = ' 0 0.5 0.5
1 0.5 0.5
0.5 0.0 0.5
'
' 0.5 1.0 0.5
0.5 0.5 0.0
0.5 0.5 1.0'
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = true
base_name = "whatever"
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[AuxVariables]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = whatever_cauchy_stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = whatever_cauchy_stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = whatever_cauchy_stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = whatever_cauchy_stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = whatever_cauchy_stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = whatever_cauchy_stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[strain_xx]
type = RankTwoAux
rank_two_tensor = whatever_mechanical_strain
variable = strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[strain_yy]
type = RankTwoAux
rank_two_tensor = whatever_mechanical_strain
variable = strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[strain_zz]
type = RankTwoAux
rank_two_tensor = whatever_mechanical_strain
variable = strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[strain_xy]
type = RankTwoAux
rank_two_tensor = whatever_mechanical_strain
variable = strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[strain_xz]
type = RankTwoAux
rank_two_tensor = whatever_mechanical_strain
variable = strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[strain_yz]
type = RankTwoAux
rank_two_tensor = whatever_mechanical_strain
variable = strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[]
[BCs]
[left]
type = DirichletBC
preset = true
variable = disp_x
boundary = left
value = 0.0
[]
[bottom]
type = DirichletBC
preset = true
variable = disp_y
boundary = bottom
value = 0.0
[]
[back]
type = DirichletBC
preset = true
variable = disp_z
boundary = back
value = 0.0
[]
[front]
type = DirichletBC
preset = true
variable = disp_z
boundary = front
value = 0.1
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1000.0
poissons_ratio = 0.25
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
elasticity_tensor = whatever_elasticity_tensor
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
dt = 1
solve_type = 'newton'
petsc_options_iname = -pc_type
petsc_options_value = lu
nl_abs_tol = 1e-10
nl_rel_tol = 1e-10
end_time = 1
dtmin = 1.0
[]
[Outputs]
exodus = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/thermal_expansion/jactest.i)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 2
ny = 2
nz = 2
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.02
max = 0.02
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.02
max = 0.02
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.02
max = 0.02
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[temperature]
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
temperature = temperature
eigenstrain_names = "thermal_contribution"
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
temperature = temperature
eigenstrain_names = "thermal_contribution"
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
temperature = temperature
eigenstrain_names = "thermal_contribution"
[]
[temperature]
type = Diffusion
variable = temperature
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
eigenstrain_names = "thermal_contribution"
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
temperature = temperature
thermal_expansion_coeff = 1.0e-3
eigenstrain_name = thermal_contribution
stress_free_temperature = 0.0
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
petsc_options_iname = '-snes_type'
petsc_options_value = 'test'
[]
[]
[Executioner]
solve_type = NEWTON
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
exodus = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/materials/convergence/stvenantkirchhoff_small.i)
# Simple 3D test
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 3
nx = 4
ny = 4
nz = 4
[]
[]
[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
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[Functions]
[pullx]
type = ParsedFunction
value = '4000 * t'
[]
[pully]
type = ParsedFunction
value = '-2000 * t'
[]
[pullz]
type = ParsedFunction
value = '3000 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = left
variable = disp_x
value = 0.0
[]
[lefty]
type = DirichletBC
preset = true
boundary = left
variable = disp_y
value = 0.0
[]
[leftz]
type = DirichletBC
preset = true
boundary = left
variable = disp_z
value = 0.0
[]
[pull_x]
type = FunctionNeumannBC
boundary = right
variable = disp_x
function = pullx
[]
[pull_y]
type = FunctionNeumannBC
boundary = top
variable = disp_y
function = pully
[]
[pull_z]
type = FunctionNeumannBC
boundary = right
variable = disp_z
function = pullz
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
shear_modulus = 67000.0
lambda = 40000.0
[]
[compute_stress]
type = ComputeStVenantKirchhoffStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 3
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 2.0
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/convergence/L/small.i)
[Mesh]
type = FileMesh
file = 'L.exo'
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
large_kinematics = false
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Functions]
[pfn]
type = PiecewiseLinear
x = '0 1 2'
y = '0.00 0.3 0.5'
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[sdy]
type = TotalLagrangianStressDivergence
variable = disp_y
component = 1
[]
[sdz]
type = TotalLagrangianStressDivergence
variable = disp_z
component = 2
[]
[]
[BCs]
[left]
type = DirichletBC
preset = true
variable = disp_x
boundary = fix
value = 0.0
[]
[bottom]
type = DirichletBC
preset = true
variable = disp_y
boundary = fix
value = 0.0
[]
[back]
type = DirichletBC
preset = true
variable = disp_z
boundary = fix
value = 0.0
[]
[front]
type = FunctionDirichletBC
variable = disp_z
boundary = pull
function = pfn
preset = true
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.25
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'newton'
petsc_options_iname = -pc_type
petsc_options_value = lu
nl_abs_tol = 1e-10
nl_rel_tol = 1e-8
end_time = 1.0
dtmin = 0.5
dt = 0.5
[]
[Postprocessors]
[nonlin]
type = NumNonlinearIterations
[]
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/test/tests/lagrangian/total/convergence/1D/dirichlet.i)
# Simple 1D plane strain test
[GlobalParams]
displacements = 'disp_x'
large_kinematics = true
[]
[Variables]
[disp_x]
[]
[]
[Mesh]
[msh]
type = GeneratedMeshGenerator
dim = 1
nx = 10
[]
[]
[Kernels]
[sdx]
type = TotalLagrangianStressDivergence
variable = disp_x
component = 0
[]
[]
[Functions]
[pull]
type = ParsedFunction
value = '0.06 * t'
[]
[]
[BCs]
[leftx]
type = DirichletBC
preset = true
boundary = right
variable = disp_x
value = 0.0
[]
[pull]
type = FunctionDirichletBC
boundary = left
variable = disp_x
function = pull
preset = true
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 100000.0
poissons_ratio = 0.3
[]
[compute_stress]
type = ComputeLagrangianLinearElasticStress
[]
[compute_strain]
type = ComputeLagrangianStrain
[]
[]
[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 = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
start_time = 0.0
dt = 1.0
dtmin = 1.0
end_time = 5.0
[]
[Postprocessors]
[nonlin]
type = NumNonlinearIterations
[]
[]
[Outputs]
exodus = false
csv = true
[]
(modules/tensor_mechanics/include/kernels/lagrangian/HomogenizedTotalLagrangianStressDivergence.h)
// This file is part of the MOOSE framework
// https://www.mooseframework.org
//
// All rights reserved, see COPYRIGHT for full restrictions
// https://github.com/idaholab/moose/blob/master/COPYRIGHT
//
// Licensed under LGPL 2.1, please see LICENSE for details
// https://www.gnu.org/licenses/lgpl-2.1.html
#pragma once
#include "TotalLagrangianStressDivergence.h"
#include "HomogenizationConstraintIntegral.h" // Index constants
#include "MooseVariableScalar.h"
#include "Assembly.h"
/// Total Lagrangian formulation with cross-jacobian homogenization terms
///
/// The total Lagrangian formulation can interact with the homogenization
/// system defined by the HomogenizationConstraintScalarKernel and
/// HomogenizationConstraintIntegral user object by providing the
/// correct off-diagonal Jacobian entries.
///
class HomogenizedTotalLagrangianStressDivergence : public TotalLagrangianStressDivergence
{
public:
static InputParameters validParams();
HomogenizedTotalLagrangianStressDivergence(const InputParameters & parameters);
protected:
/// Homogenization constraint diagonal term
virtual void computeOffDiagJacobianScalar(unsigned int jvar) override;
private:
/// Calculate the displacement-scalar part of the off-diagonal Jacobian
Real computeBaseJacobian();
/// Calculate the scalar-base part of the off-diagonal Jacobian
// Properly this would belong in the ScalarKernel, but as it varies
// by element it's best to put it here
Real computeConstraintJacobian();
/// Calculate the material part of the base disp-scalar jacobian
Real materialBaseJacobian();
/// Small deformation scalar-displacement component for strain constraints
Real sdConstraintJacobianStrain();
/// Large deformation scalar-displacement component for strain constraints
Real ldConstraintJacobianStrain();
/// Material scalar-displacement component for stress constraints
Real materialConstraintJacobianStress();
protected:
/// The scalar variable used to enforce the homogenization constraints
const unsigned int _macro_gradient_num;
/// Order of the homogenization variable, used in several places
const unsigned int _mg_order;
// Which indices are constrained and what types of constraints
const HomogenizationConstants::index_list _indices;
std::vector<HomogenizationConstants::ConstraintType> _ctypes;
/// Used internally to iterate over each scalar component
unsigned int _h;
};