- internal_constraint_toleranceThe Newton-Raphson process is only deemed converged if the internal constraint is less than this.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The Newton-Raphson process is only deemed converged if the internal constraint is less than this.
- yield_function_toleranceIf the yield function is less than this amount, the (stress, internal parameter) are deemed admissible.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:If the yield function is less than this amount, the (stress, internal parameter) are deemed admissible.
- yield_strengthA SolidMechanicsHardening UserObject that defines hardening of the yield strength
C++ Type:UserObjectName
Unit:(no unit assumed)
Controllable:No
Description:A SolidMechanicsHardening UserObject that defines hardening of the yield strength
SolidMechanicsPlasticJ2
buildconstruction:Undocumented Class
The SolidMechanicsPlasticJ2 has not been documented. The content listed below should be used as a starting point for documenting the class, which includes the typical automatic documentation associated with a MooseObject; however, what is contained is ultimately determined by what is necessary to make the documentation clear for users.
J2 plasticity, associative, with hardening
Overview
Example Input File Syntax
Input Parameters
- execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Unit:(no unit assumed)
Options:XFEM_MARK, FORWARD, ADJOINT, HOMOGENEOUS_FORWARD, ADJOINT_TIMESTEP_BEGIN, ADJOINT_TIMESTEP_END, NONE, INITIAL, LINEAR, NONLINEAR_CONVERGENCE, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM
Controllable:No
Description:The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
- max_iterations10Maximum iterations for custom J2 return map
Default:10
C++ Type:unsigned int
Unit:(no unit assumed)
Controllable:No
Description:Maximum iterations for custom J2 return map
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- use_custom_ctoTrueWhether to use the custom consistent tangent operator computations. Set to true if you are using isotropic elasticity.
Default:True
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Whether to use the custom consistent tangent operator computations. Set to true if you are using isotropic elasticity.
- use_custom_returnMapTrueWhether to use the custom returnMap algorithm. Set to true if you are using isotropic elasticity.
Default:True
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Whether to use the custom returnMap algorithm. Set to true if you are using isotropic elasticity.
- use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Optional Parameters
- allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Unit:(no unit assumed)
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Unit:(no unit assumed)
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- execution_order_group0Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
Default:0
C++ Type:int
Unit:(no unit assumed)
Controllable:No
Description:Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
- force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Forces the UserObject to be executed in POSTAUX
- force_preauxFalseForces the UserObject to be executed in PREAUX
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Forces the UserObject to be executed in PREAUX
- force_preicFalseForces the UserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Unit:(no unit assumed)
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
Input Files
- (modules/solid_mechanics/tutorials/basics/part_2.3.i)
- (modules/solid_mechanics/test/tests/j2_plasticity/hard2.i)
- (modules/solid_mechanics/test/tests/j2_plasticity/small_deform2.i)
- (modules/solid_mechanics/test/tests/multi/paper5.i)
- (modules/solid_mechanics/tutorials/basics/part_2.4.i)
- (modules/solid_mechanics/test/tests/j2_plasticity/hard1.i)
- (modules/solid_mechanics/tutorials/basics/part_3_1.i)
- (modules/solid_mechanics/test/tests/j2_plasticity/small_deform1.i)
- (modules/solid_mechanics/test/tests/j2_plasticity/small_deform3.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/cross_material/convergence/plastic_j2.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/cross_material/convergence/plastic_j2.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/total/cross_material/correctness/plastic_j2.i)
- (modules/solid_mechanics/test/tests/lagrangian/cartesian/updated/cross_material/correctness/plastic_j2.i)
Child Objects
(modules/solid_mechanics/tutorials/basics/part_2.3.i)
#Tensor Mechanics tutorial: the basics
#Step 2, part 3
#2D axisymmetric RZ simulation of uniaxial tension with J2 plasticity with no
#hardening
[GlobalParams]
displacements = 'disp_r disp_z'
[]
[Problem]
coord_type = RZ
[]
[Mesh]
file = necking_quad4.e
uniform_refine = 0
second_order = true
[]
[Physics/SolidMechanics/QuasiStatic]
[./block1]
strain = FINITE
add_variables = true
generate_output = 'stress_yy strain_yy' #use the yy option to get the zz component in axisymmetric coords
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 2.1e5
poissons_ratio = 0.3
[../]
[./stress]
type = ComputeMultiPlasticityStress
ep_plastic_tolerance = 1e-9
plastic_models = J2
[../]
[]
[UserObjects]
[./str]
type = SolidMechanicsHardeningConstant
value = 2.4e2
[../]
[./J2]
type = SolidMechanicsPlasticJ2
yield_strength = str
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-9
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = disp_r
boundary = left
value = 0.0
[../]
[./bottom]
type = DirichletBC
variable = disp_z
boundary = bottom
value = 0.0
[../]
[./top]
type = FunctionDirichletBC
variable = disp_z
boundary = top
function = '0.0007*t'
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
dt = 0.25
end_time = 20
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap -ksp_gmres_restart'
petsc_options_value = 'asm lu 1 101'
[]
[Postprocessors]
[./ave_stress_bottom]
type = SideAverageValue
variable = stress_yy
boundary = bottom
[../]
[./ave_strain_bottom]
type = SideAverageValue
variable = strain_yy
boundary = bottom
[../]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
print_linear_residuals = false
[]
(modules/solid_mechanics/test/tests/j2_plasticity/hard2.i)
# UserObject J2 test, with hardening, but with rate=1E6
# apply uniform compression in x direction to give
# trial stress_xx = 5, so sqrt(3*J2) = 5
# with zero Poisson's ratio, lambda_mu = 1E6, and strength=2, strength_residual=1,
# the equations that we need to solve are:
#
# stress_yy = stress_zz [because of the symmetry of the problem: to keep Lode angle constant]
# stress_xx - stress_yy = 1 + (2 - 1)*exp(-0.5*(1E6*q)^2) [yield_fcn = 0]
# stress_xx + stress_yy + stress_zz = 5 [mean stress constant]
# q = gamma
# stress_xx = 1E6*2*gamma*(stress_xx - 5/3)*sqrt(3)/2/sqrt(J2), where sqrt(J2) = (1 + (2 - 1)*exp(-0.5*(1E6*q)^2))/Sqrt(3)
# so RHS = 1E6*2*gamma*(stress_xx - 5/3)*3/2/(stress_xx - stress_yy)
#
# stress_xx = 2.672
# stress_yy = 1.164
# q = 1.164E-6
[Mesh]
type = GeneratedMesh
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
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[Kernels]
[SolidMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '2.5E-6*x'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '0E-6*y'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '0E-6*z'
[../]
[]
[AuxVariables]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./f]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[./intnl]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[../]
[./stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[../]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[../]
[./stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[../]
[./stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[./f]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = f
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[./intnl]
type = MaterialStdVectorAux
index = 0
property = plastic_internal_parameter
variable = intnl
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = f
[../]
[./iter]
type = PointValue
point = '0 0 0'
variable = iter
[../]
[./intnl]
type = PointValue
point = '0 0 0'
variable = intnl
[../]
[]
[UserObjects]
[./str]
type = SolidMechanicsHardeningGaussian
value_0 = 2
value_residual = 1
rate = 1E12
[../]
[./j2]
type = SolidMechanicsPlasticJ2
yield_strength = str
yield_function_tolerance = 1E-5
internal_constraint_tolerance = 1E-9
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E6'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
ep_plastic_tolerance = 1E-9
plastic_models = j2
debug_fspb = crash
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = hard2
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/test/tests/j2_plasticity/small_deform2.i)
# UserObject J2 test
# apply uniform stretch in z direction to give
# trial stress_zz = 7, so sqrt(3*J2) = 7
# with zero Poisson's ratio, this should return to
# stress_zz = 3, stress_xx = 2 = stress_yy
# (note that stress_zz - stress_xx = stress_zz - stress_yy = 1, so sqrt(3*j2) = 1,
# and that the mean stress remains = 7/3)
[Mesh]
type = GeneratedMesh
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
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[Kernels]
[SolidMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '0E-6*x'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '0E-6*y'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '3.5E-6*z'
[../]
[]
[AuxVariables]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./f]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[../]
[./stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[../]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[../]
[./stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[../]
[./stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[./f]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = f
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = f
[../]
[./iter]
type = PointValue
point = '0 0 0'
variable = iter
[../]
[]
[UserObjects]
[./str]
type = SolidMechanicsHardeningConstant
value = 1
[../]
[./j2]
type = SolidMechanicsPlasticJ2
yield_strength = str
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-9
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E6'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
ep_plastic_tolerance = 1E-9
plastic_models = j2
debug_fspb = crash
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform2
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/test/tests/multi/paper5.i)
# This runs the J2+cap+hardening example model described in the 'MultiSurface' plasticity paper
#
# Plasticity models:
# J2 with strength = 20MPa to 10MPa in 100% strain
# Compressive cap with strength = 15MPa to 5MPa in 100% strain
#
# Lame lambda = 1.2GPa. Lame mu = 1.2GPa (Young = 3GPa, poisson = 0.25)
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1000
ny = 125
nz = 1
xmin = 0
xmax = 1000
ymin = 0
ymax = 125
zmin = 0
zmax = 1
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[Kernels]
[SolidMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[ICs]
[./x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[../]
[./y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[../]
[./z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '0'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '0'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '0'
[../]
[]
[AuxVariables]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./intnl0]
order = CONSTANT
family = MONOMIAL
[../]
[./intnl1]
order = CONSTANT
family = MONOMIAL
[../]
[./f0]
order = CONSTANT
family = MONOMIAL
[../]
[./f1]
order = CONSTANT
family = MONOMIAL
[../]
[./linesearch]
order = CONSTANT
family = MONOMIAL
[../]
[./ld]
order = CONSTANT
family = MONOMIAL
[../]
[./constr_added]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[../]
[./stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[../]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[../]
[./stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[../]
[./stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[./f0]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = f0
[../]
[./f1]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 1
variable = f1
[../]
[./intnl0]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 0
variable = intnl0
[../]
[./intnl1]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 1
variable = intnl1
[../]
[./linesearch]
type = MaterialRealAux
property = plastic_linesearch_needed
variable = linesearch
[../]
[./ld]
type = MaterialRealAux
property = plastic_linear_dependence_encountered
variable = ld
[../]
[./constr_added]
type = MaterialRealAux
property = plastic_constraints_added
variable = constr_added
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./max_f0]
type = ElementExtremeValue
variable = f0
outputs = console
[../]
[./max_f1]
type = ElementExtremeValue
variable = f1
outputs = console
[../]
[./max_iter]
type = ElementExtremeValue
variable = iter
outputs = console
[../]
[./av_iter]
type = ElementAverageValue
variable = iter
outputs = 'console csv'
[../]
[./av_linesearch]
type = ElementAverageValue
variable = linesearch
outputs = 'console csv'
[../]
[./av_ld]
type = ElementAverageValue
variable = ld
outputs = 'console csv'
[../]
[./av_constr_added]
type = ElementAverageValue
variable = constr_added
outputs = 'console csv'
[../]
[]
[UserObjects]
[./yield_strength]
type = SolidMechanicsHardeningCubic
value_0 = 20E6
value_residual = 10E6
internal_limit = 1
[../]
[./j2]
type = SolidMechanicsPlasticJ2
yield_strength = yield_strength
yield_function_tolerance = 1.0E2
internal_constraint_tolerance = 1.0E-7
use_custom_returnMap = false
[../]
[./compressive_strength]
type = SolidMechanicsHardeningCubic
value_0 = 15E6
value_residual = 5E6
internal_limit = 1
[../]
[./cap]
type = SolidMechanicsPlasticMeanCap
a = -1
strength = compressive_strength
yield_function_tolerance = 1.0E2
internal_constraint_tolerance = 1.0E-7
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '1.2E9 1.2E9'
[../]
[./strain]
type = ComputeIncrementalStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./multi]
type = ComputeMultiPlasticityStress
block = 0
ep_plastic_tolerance = 1E-5
plastic_models = 'j2 cap'
max_NR_iterations = 10
deactivation_scheme = 'safe'
min_stepsize = 1
max_stepsize_for_dumb = 1
tangent_operator = elastic # tangent operator is unimportant in this test
debug_fspb = crash
debug_jac_at_stress = '10E6 0 0 0 10E6 0 0 0 10E6'
debug_jac_at_pm = '1E-2 1E-2'
debug_jac_at_intnl = '0.05 0.05'
debug_stress_change = 1E1
debug_pm_change = '1E-6 1E-6'
debug_intnl_change = '1E-6 1E-6'
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = paper5
exodus = false
csv = true
perf_graph = true
[]
(modules/solid_mechanics/tutorials/basics/part_2.4.i)
#Tensor Mechanics tutorial: the basics
#Step 2, part 4
#2D axisymmetric RZ simulation of uniaxial tension with J2 plasticity with
#hardening
[GlobalParams]
displacements = 'disp_r disp_z'
[]
[Problem]
coord_type = RZ
[]
[Mesh]
file = necking_quad4.e
uniform_refine = 0
second_order = true
[]
[Physics/SolidMechanics/QuasiStatic]
[./block1]
strain = FINITE
add_variables = true
generate_output = 'stress_yy strain_yy vonmises_stress'
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 2.1e5
poissons_ratio = 0.3
[../]
[./stress]
type = ComputeMultiPlasticityStress
ep_plastic_tolerance = 1e-9
plastic_models = J2
[../]
[]
[UserObjects]
[./hardening]
type = SolidMechanicsHardeningCubic
value_0 = 2.4e2
value_residual = 3.0e2
internal_0 = 0
internal_limit = 0.005
[../]
[./J2]
type = SolidMechanicsPlasticJ2
yield_strength = hardening
yield_function_tolerance = 1E-9
internal_constraint_tolerance = 1E-9
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = disp_r
boundary = left
value = 0.0
[../]
[./bottom]
type = DirichletBC
variable = disp_z
boundary = bottom
value = 0.0
[../]
[./top]
type = FunctionDirichletBC
variable = disp_z
boundary = top
function = '0.0007*t'
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
dt = 0.25
end_time = 20
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap -ksp_gmres_restart'
petsc_options_value = 'asm lu 1 101'
[]
[Postprocessors]
[./ave_stress_bottom]
type = SideAverageValue
variable = stress_yy
boundary = bottom
[../]
[./ave_strain_bottom]
type = SideAverageValue
variable = strain_yy
boundary = bottom
[../]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
print_linear_residuals = false
[]
(modules/solid_mechanics/test/tests/j2_plasticity/hard1.i)
# UserObject J2 test, with hardening, but with rate=0
# apply uniform compression in x direction to give
# trial stress_xx = -5, so sqrt(3*J2) = 5
# with zero Poisson's ratio, this should return to
# stress_xx = -3, stress_yy = -1 = stress_zz,
# for strength = 2
# (note that stress_xx - stress_yy = stress_xx - stress_zz = -2, so sqrt(3*j2) = 2,
# and that the mean stress remains = -5/3)
[Mesh]
type = GeneratedMesh
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
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[Kernels]
[SolidMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '-2.5E-6*x'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '0E-6*y'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '0E-6*z'
[../]
[]
[AuxVariables]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./f]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[../]
[./stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[../]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[../]
[./stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[../]
[./stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[./f]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = f
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = f
[../]
[./iter]
type = PointValue
point = '0 0 0'
variable = iter
[../]
[]
[UserObjects]
[./str]
type = SolidMechanicsHardeningConstant
value = 2
[../]
[./j2]
type = SolidMechanicsPlasticJ2
yield_strength = str
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-9
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E6'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
ep_plastic_tolerance = 1E-9
plastic_models = j2
debug_fspb = crash
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = hard1
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/tutorials/basics/part_3_1.i)
#Tensor Mechanics tutorial: the basics
#Step 3, part 1
#3D simulation of uniaxial tension with J2 plasticity
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
[file_mesh]
type = FileMeshGenerator
file = necking_quad4.e
[]
[extrude]
type = MeshExtruderGenerator
extrusion_vector = '0 0 0.5'
num_layers = 2
bottom_sideset = 'back'
top_sideset = 'front'
input = file_mesh
[]
uniform_refine = 0
second_order = true
[]
[Physics/SolidMechanics/QuasiStatic]
[./block1]
strain = FINITE
add_variables = true
generate_output = 'stress_yy strain_yy'
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 2.1e5
poissons_ratio = 0.3
[../]
[./stress]
type = ComputeMultiPlasticityStress
ep_plastic_tolerance = 1e-9
plastic_models = J2
[../]
[]
[UserObjects]
[./hardening]
type = SolidMechanicsHardeningCubic
value_0 = 2.4e2
value_residual = 3.0e2
internal_0 = 0
internal_limit = 0.005
[../]
[./J2]
type = SolidMechanicsPlasticJ2
yield_strength = hardening
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-9
[../]
[]
[BCs]
[./left]
type = DirichletBC
variable = disp_x #change the variable to reflect the new displacement names
boundary = 1
value = 0.0
[../]
[./back]
type = DirichletBC
variable = disp_z #change the variable to reflect the new displacement names
boundary = back
value = 0.0
[../]
[./bottom]
type = DirichletBC
variable = disp_y #change the variable to reflect the new displacement names
boundary = 3
value = 0.0
[../]
[./top]
type = FunctionDirichletBC
variable = disp_y #change the variable to reflect the new displacement names
boundary = 4
function = '0.0007*t'
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
dt = 0.25
end_time = 16
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -sub_pc_type -pc_asm_overlap -ksp_gmres_restart'
petsc_options_value = 'asm lu 1 101'
[]
[Postprocessors]
[./ave_stress_bottom]
type = SideAverageValue
variable = stress_yy
boundary = 3
[../]
[./ave_strain_bottom]
type = SideAverageValue
variable = strain_yy
boundary = 3
[../]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
print_linear_residuals = false
[]
(modules/solid_mechanics/test/tests/j2_plasticity/small_deform1.i)
# UserObject J2 test
# apply uniform stretch in x, y and z directions.
# no plasticity should be observed
[Mesh]
type = GeneratedMesh
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
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[Kernels]
[SolidMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '1E-6*x'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '1E-6*y'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '1E-6*z'
[../]
[]
[AuxVariables]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./f]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[../]
[./stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[../]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[../]
[./stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[../]
[./stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[./f]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = f
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = f
[../]
[./iter]
type = PointValue
point = '0 0 0'
variable = iter
[../]
[]
[UserObjects]
[./str]
type = SolidMechanicsHardeningConstant
value = 1
[../]
[./j2]
type = SolidMechanicsPlasticJ2
yield_strength = str
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-9
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E6'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
ep_plastic_tolerance = 1E-9
plastic_models = j2
debug_fspb = crash
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform1
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/test/tests/j2_plasticity/small_deform3.i)
# UserObject J2 test
# apply uniform compression in x direction to give
# trial stress_xx = -7, so sqrt(3*J2) = 7
# with zero Poisson's ratio, this should return to
# stress_xx = -3, stress_yy = -2 = stress_zz
# (note that stress_xx - stress_yy = stress_xx - stress_zz = -1, so sqrt(3*j2) = 1,
# and that the mean stress remains = -7/3)
[Mesh]
type = GeneratedMesh
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
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[Kernels]
[SolidMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '-3.5E-6*x'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '0E-6*y'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '0E-6*z'
[../]
[]
[AuxVariables]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./f]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[../]
[./stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[../]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[../]
[./stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[../]
[./stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[./f]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = f
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = f
[../]
[./iter]
type = PointValue
point = '0 0 0'
variable = iter
[../]
[]
[UserObjects]
[./str]
type = SolidMechanicsHardeningConstant
value = 1
[../]
[./j2]
type = SolidMechanicsPlasticJ2
yield_strength = str
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-9
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E6'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
ep_plastic_tolerance = 1E-9
plastic_models = j2
debug_fspb = crash
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform3
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/test/tests/lagrangian/cartesian/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
expression = '4000 * t'
[]
[pully]
type = ParsedFunction
expression = '-2000 * t'
[]
[pullz]
type = ParsedFunction
expression = '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 = SolidMechanicsHardeningPowerRule
value_0 = 100.0
epsilon0 = 1.0
exponent = 1.0
[../]
[./j2]
type = SolidMechanicsPlasticJ2
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/solid_mechanics/test/tests/lagrangian/cartesian/updated/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 = UpdatedLagrangianStressDivergence
variable = disp_x
component = 0
use_displaced_mesh = false
[]
[sdy]
type = UpdatedLagrangianStressDivergence
variable = disp_y
component = 1
use_displaced_mesh = false
[]
[sdz]
type = UpdatedLagrangianStressDivergence
variable = disp_z
component = 2
use_displaced_mesh = false
[]
[]
[Functions]
[pullx]
type = ParsedFunction
expression = '4000 * t'
[]
[pully]
type = ParsedFunction
expression = '-2000 * t'
[]
[pullz]
type = ParsedFunction
expression = '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 = SolidMechanicsHardeningPowerRule
value_0 = 100.0
epsilon0 = 1.0
exponent = 1.0
[../]
[./j2]
type = SolidMechanicsPlasticJ2
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/solid_mechanics/test/tests/lagrangian/cartesian/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
expression = '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 = SolidMechanicsHardeningPowerRule
value_0 = 100.0
epsilon0 = 0.1
exponent = 2.0
[../]
[./j2]
type = SolidMechanicsPlasticJ2
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/solid_mechanics/test/tests/lagrangian/cartesian/updated/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 = UpdatedLagrangianStressDivergence
variable = disp_x
component = 0
use_displaced_mesh = false
[]
[sdy]
type = UpdatedLagrangianStressDivergence
variable = disp_y
component = 1
use_displaced_mesh = false
[]
[sdz]
type = UpdatedLagrangianStressDivergence
variable = disp_z
component = 2
use_displaced_mesh = false
[]
[]
[Functions]
[pullx]
type = ParsedFunction
expression = '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 = SolidMechanicsHardeningPowerRule
value_0 = 100.0
epsilon0 = 0.1
exponent = 2.0
[../]
[./j2]
type = SolidMechanicsPlasticJ2
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/solid_mechanics/include/userobjects/SolidMechanicsPlasticIsotropicSD.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 "SolidMechanicsPlasticJ2.h"
#include "RankFourTensor.h"
/**
* IsotropicSD plasticity model from Yoon (2013)
* the name of the paper is "Asymmetric yield function based on the
* stress invariants for pressure sensitive metals" published
* 4th December 2013.
* This model accounts for sensitivity in pressure and for the
* strength differential effect
* Yield_function = \f$ a[b*I_{1} + (J2^{3/2} - c*J3)^{1/3}]\f$ - yield_strength
* The last three functions are the main functions that call all other
* functions in this module for the Newton-Raphson method.
*/
class SolidMechanicsPlasticIsotropicSD : public SolidMechanicsPlasticJ2
{
public:
static InputParameters validParams();
SolidMechanicsPlasticIsotropicSD(const InputParameters & parameters);
protected:
/// A constant to model the influence of pressure
const Real _b;
/// A constant to model the influence of strength differential effect
Real _c;
/// Flag for flow-rule, true if not specified
const bool _associative;
/// Comes from transforming the stress tensor to the deviatoric stress tensor
RankFourTensor _h;
/// A constant used in the constructor that depends on _b and _c
Real _a;
/// derivative of phi with respect to J2, phi is b*I1 + (J2^{3/2} - c*J3)^{1/3}
Real dphi_dj2(const Real j2, const Real j3) const;
/// derivative of phi with respect to J3
Real dphi_dj3(const Real j2, const Real j3) const;
/// derivative of dphi_dJ2 with respect to J2
Real dfj2_dj2(const Real j2, const Real j3) const;
/// derivative of dphi_dJ2 with respect to J3
Real dfj2_dj3(const Real j2, const Real j3) const;
/// derivative of dphi_dJ3 with respect to J2
Real dfj3_dj2(const Real j2, const Real j3) const;
/// derivative of dphi_dJ3 with respect to J3
Real dfj3_dj3(const Real j2, const Real j3) const;
/// derivative of the trace with respect to sigma rank two tensor
RankTwoTensor dI_sigma() const;
/// derivative of the second invariant with respect to the stress deviatoric tensor
RankTwoTensor dj2_dSkl(const RankTwoTensor & stress) const;
/// Yield_function = a[b*I1 + (J2^{3/2} - c*J3)^{1/3}] - yield_strength
Real yieldFunction(const RankTwoTensor & stress, Real intnl) const override;
/// Tensor derivative of the yield_function with respect to the stress tensor
RankTwoTensor dyieldFunction_dstress(const RankTwoTensor & stress, Real intnl) const override;
/// Tensor derivative of the tensor derivative of the yield_function with respect to the stress tensor
RankFourTensor dflowPotential_dstress(const RankTwoTensor & stress, Real intnl) const override;
/// Receives the flag for associative or non-associative and calculates the flow potential accordingly
RankTwoTensor flowPotential(const RankTwoTensor & stress, Real intnl) const override;
};