FeCrAlPowerLawHardeningStressUpdate

Computes the stress as a function of temperature and plastic strain from experimentally-based hardening functions. Note: This material model must be run in conjunction with ComputeMultipleInelasticStress.

Description

FeCrAlPowerLawHardeningStressUpdate is a power-law strain hardening plasticity model for FeCrAl alloys. The model is based on experimental data relative to FeCrAl alloys developed at Oak Ridge National Laboratory (ORNL). In particular, data from Maloy et al. (2016) and Yamamoto et al. (2015) were used in model development.

This material model calculates the stress as a function of plastic strain and temperature in FeCrAl cladding based on specified hardening functions that represent a power-law strain hardening behavior after the material reaches the yield point. The hardening functions give the stress as a function of plastic strain as piecewise linear relations based on the data from tensile tests performed on ORNL Generation I FeCrAl tubes at various temperatures in Maloy et al. (2016). At temperatures in between the reference experimental temperatures, the behavior is calculated based on linear interpolation. This model was originally developed by Sweet (2018) and later modified to consider the true stress-true strain relationships for consistent usage in BISON.

The model must be run in conjunction with ComputeMultipleInelasticStress. The model inherits from IsotropicPlasticityStressUpdate and is structured similar to TemperatureDependentHardeningStressUpdate, but sets the hardening functions internally.

Figure 1 plots the hardening functions for the power-law strain hardening plasticity model implemented in BISON. These relationships between stress and plastic strain are given at 5 reference temperatures. The first point of each function (i.e., the point at zero plastic strain) correspond to the yield stress (YS) at the given temperature. Each function extends up to the ultimate tensile strength (UTS) at the given temperature. The YS and UTS are estimated based on the experimental data from Yamamoto et al. (2015).

Figure 1: Hardening functions of true stress vs. true plastic strain implemented in the FeCrAlPowerLawHardeningStressUpdate model. The curves start at the yield stress and extend up to the ultimate tensile strength at the given temperature. Behavior in between reference temperatures is determined by linear interpolation. Minimum or maximum stress is used if the temperature is outside the bounds presented here.

Example Input Syntax

[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
  [fecral_plasticity]
    type = FeCrAlPowerLawHardeningStressUpdate<<<{"description": "Computes the stress as a function of temperature and plastic strain from experimentally-based hardening functions. Note: This material model must be run in conjunction with ComputeMultipleInelasticStress.", "href": "FeCrAlPowerLawHardeningStressUpdate.html"}>>>
    temperature<<<{"description": "Coupled Temperature"}>>> = temp
    block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = '1 2 3 4'
  []
[]

FeCrAlPowerLawHardeningStressUpdate must be run in conjunction with the inelastic strain return mapping stress calculator as shown below:

[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
  [stress]
    type = ComputeMultipleInelasticStress<<<{"description": "Compute state (stress and internal parameters such as plastic strains and internal parameters) using an iterative process.  Combinations of creep models and plastic models may be used.", "href": "../ComputeMultipleInelasticStress.html"}>>>
    tangent_operator<<<{"description": "Type of tangent operator to return.  'elastic': return the elasticity tensor.  'nonlinear': return the full, general consistent tangent operator."}>>> = elastic
    inelastic_models<<<{"description": "The material objects to use to calculate stress and inelastic strains. Note: specify creep models first and plasticity models second."}>>> = 'fecral_plasticity'
    block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = '1 2 3 4'
  []
[]

Input Parameters

absolute_tolerance1e-11Absolute convergence tolerance for Newton iteration
Default:1e-11
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Absolute convergence tolerance for Newton iteration
acceptable_multiplier10Factor applied to relative and absolute tolerance for acceptable convergence if iterations are no longer making progress
Default:10
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Factor applied to relative and absolute tolerance for acceptable convergence if iterations are no longer making progress
adaptive_substeppingFalseUse adaptive substepping, where the number of substeps is successively doubled until the return mapping model successfully converges or the maximum number of substeps is reached.
Default:False
C++ Type:bool
Controllable:No
Description:Use adaptive substepping, where the number of substeps is successively doubled until the return mapping model successfully converges or the maximum number of substeps is reached.
automatic_differentiation_return_mappingFalseWhether to use automatic differentiation to compute the derivative.
Default:False
C++ Type:bool
Controllable:No
Description:Whether to use automatic differentiation to compute the derivative.
base_nameOptional parameter that defines a prefix for all material properties related to this stress update model. This allows for multiple models of the same type to be used without naming conflicts.
C++ Type:std::string
Controllable:No
Description:Optional parameter that defines a prefix for all material properties related to this stress update model. This allows for multiple models of the same type to be used without naming conflicts.
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
boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Options:NONE, ELEMENT, SUBDOMAIN
Controllable:No
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
declare_suffixAn optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
max_inelastic_increment0.0001The maximum inelastic strain increment allowed in a time step
Default:0.0001
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The maximum inelastic strain increment allowed in a time step
maximum_number_substeps25The maximum number of substeps allowed before cutting the time step.
Default:25
C++ Type:unsigned int
Controllable:No
Description:The maximum number of substeps allowed before cutting the time step.
relative_tolerance1e-08Relative convergence tolerance for Newton iteration
Default:1e-08
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Relative convergence tolerance for Newton iteration
temperatureCoupled Temperature
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Coupled Temperature
use_substep_integration_errorFalseIf true, it establishes a substep size that will yield, at most,the creep numerical integration error given by substep_strain_tolerance.
Default:False
C++ Type:bool
Controllable:No
Description:If true, it establishes a substep size that will yield, at most,the creep numerical integration error given by substep_strain_tolerance.
use_substeppingNONEWhether and how to use substepping
Default:NONE
C++ Type:MooseEnum
Options:NONE, ERROR_BASED, INCREMENT_BASED
Controllable:No
Description:Whether and how to use substepping

Optional Parameters

apply_strainTrueFlag to apply strain. Used for testing.
Default:True
C++ Type:bool
Controllable:No
Description:Flag to apply strain. Used for testing.
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.
effective_inelastic_strain_nameeffective_plastic_strainName of the material property that stores the effective inelastic strain
Default:effective_plastic_strain
C++ Type:std::string
Controllable:No
Description:Name of the material property that stores the effective inelastic strain
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
substep_strain_tolerance0.1Maximum ratio of the initial elastic strain increment at start of the return mapping solve to the maximum inelastic strain allowable in a single substep. Reduce this value to increase the number of substeps
Default:0.1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Maximum ratio of the initial elastic strain increment at start of the return mapping solve to the maximum inelastic strain allowable in a single substep. Reduce this value to increase the number of substeps
use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Advanced Parameters

internal_solve_full_iteration_historyFalseSet true to output full internal Newton iteration history at times determined by `internal_solve_output_on`. If false, only a summary is output.
Default:False
C++ Type:bool
Controllable:No
Description:Set true to output full internal Newton iteration history at times determined by `internal_solve_output_on`. If false, only a summary is output.
internal_solve_output_onon_errorWhen to output internal Newton solve information
Default:on_error
C++ Type:MooseEnum
Options:never, on_error, always
Controllable:No
Description:When to output internal Newton solve information

Debug Parameters

output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector<std::string>
Controllable:No
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
outputsnone Vector of output names where you would like to restrict the output of variables(s) associated with this object
Default:none
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object

Outputs Parameters

prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.

Material Property Retrieval Parameters

Input Files

(test/tests/solid_mechanics/fecral_plasticity/power-law_strain_hardening/fecral_power-law_plasticity_rz.i)

References

S. A. Maloy, E. Aydogan, O. Anderoglu, C. Lavender, and Y. Yamamoto. Viability of thin wall tube forming of ATF FeCrAl. Technical Report LA-UR-15-27348, Los Alamos National Laboratory, 2016. doi:10.2172/1325688.

@techreport{maloy2016,
    author = "Maloy, S. A. and Aydogan, E. and Anderoglu, O. and Lavender, C. and Yamamoto, Y.",
    title = "{Viability of thin wall tube forming of ATF FeCrAl}",
    institution = "Los Alamos National Laboratory",
    year = "2016",
    number = "LA-UR-15-27348",
    doi = "10.2172/1325688"
}

R. T. Sweet. Thermo-mechanical analysis of iron-chromium-aluminum (FeCrAl) alloy cladding for light water reactor fuel elements. PhD thesis, The University of Tennessee, Knoxville, August 2018.

@phdthesis{sweet2018,
    author = "Sweet, R. T.",
    title = "{Thermo-mechanical analysis of iron-chromium-aluminum (FeCrAl) alloy cladding for light water reactor fuel elements}",
    school = "The University of Tennessee, Knoxville",
    year = "2018",
    month = "August"
}

Y. Yamamoto, B.A. Pint, K.A. Terrani, K.G. Field, Y. Yang, and L.L. Snead. Development and property evaluation of nuclear grade wrought FeCrAl fuel cladding for light water reactors. Journal of Nuclear Materials, 467:703–716, 2015.

@article{yamamoto2015,
    author = "Yamamoto, Y. and Pint, B.A. and Terrani, K.A. and Field, K.G. and Yang, Y. and Snead, L.L.",
    title = "{Development and property evaluation of nuclear grade wrought FeCrAl fuel cladding for light water reactors}",
    journal = "Journal of Nuclear Materials",
    volume = "467",
    pages = "703-716",
    year = "2015"
}

(test/tests/solid_mechanics/fecral_plasticity/power-law_strain_hardening/fecral_power-law_plasticity_rz.i)

# This input file tests the power-law strain hardening plasticity model
# for FeCrAl alloys. There are four blocks loaded in tension with a
# maximum displacement of 0.15 m and at different temperatures of
# 296, 551, 831 and 1014 K. These are among the reference temperatures
# for the hardening functions on which the model is based and are thus
# chosen for verification of the stress-strain calculation.

# As shown in the attached file (fecral_power-law_plasticity.xlsx),
# the BISON calculated true stresses as a function of the true
# plastic strains correctly follow the hardening functions at the
# given temperatures.

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  coord_type = RZ
  [mesh]
    type = FileMeshGenerator
    file = '../linear_strain_hardening/vertical_squares.e'
  []
[]

[Variables]
  [disp_x]
    order = FIRST
    family = LAGRANGE
  []
  [disp_y]
    order = FIRST
    family = LAGRANGE
  []
  [temp]
    order = FIRST
    family = LAGRANGE
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    block = '1 2 3 4'
    strain = FINITE
    incremental = true
    generate_output = 'stress_yy strain_yy plastic_strain_yy'
  []
[]

[Kernels]
  [heat]
    type = HeatConduction
    variable = temp
  []
[]

[Functions]
  [top_pull]
    type = ParsedFunction
    expression = t*(0.015)
  []
[]

[BCs]
  [square1]
    type = DirichletBC
    variable = temp
    boundary = '1 2 3 4'
    value = 296.0
  []
  [square2]
    type = DirichletBC
    variable = temp
    boundary = '5 6 7 8'
    value = 551.0
  []
  [square3]
    type = DirichletBC
    variable = temp
    boundary = '9 10 11 12'
    value = 831.0
  []
  [square4]
    type = DirichletBC
    variable = temp
    boundary = '13 14 15 16'
    value = 1014.0
  []
  [top_pull]
    type = FunctionDirichletBC
    boundary = '1 5 9 13'
    variable = disp_y
    function = top_pull
  []
  [y_bot]
    type = DirichletBC
    boundary = '3 7 11 15'
    variable = disp_y
    value = 0.0
  []
  [x_bot]
    type = DirichletBC
    boundary = ' 2 6 10 14'
    variable = disp_x
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1.0e+10
    poissons_ratio = 0.3
    block = '1 2 3 4'
  []
  [stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'fecral_plasticity'
    block = '1 2 3 4'
  []
  [fecral_plasticity]
    type = FeCrAlPowerLawHardeningStressUpdate
    temperature = temp
    block = '1 2 3 4'
  []
  [heat_conduction]
    type = HeatConductionMaterial
    thermal_conductivity = 1
    specific_heat = 1
    block = '1 2 3 4'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-10

  start_time = 0.0
  end_time = 10
  dt = 0.1
[]

[Postprocessors]
  [plastic_strain_yy_square1]
    type = ElementalVariableValue
    elementid = 0
    variable = plastic_strain_yy
  []
  [plastic_strain_yy_square2]
    type = ElementalVariableValue
    elementid = 1
    variable = plastic_strain_yy
  []
  [plastic_strain_yy_square3]
    type = ElementalVariableValue
    elementid = 2
    variable = plastic_strain_yy
  []
  [plastic_strain_yy_square4]
    type = ElementalVariableValue
    elementid = 3
    variable = plastic_strain_yy
  []
  [stress_yy_square1]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_yy
  []
  [stress_yy_square2]
    type = ElementalVariableValue
    elementid = 1
    variable = stress_yy
  []
  [stress_yy_square3]
    type = ElementalVariableValue
    elementid = 2
    variable = stress_yy
  []
  [stress_yy_square4]
    type = ElementalVariableValue
    elementid = 3
    variable = stress_yy
  []
[]

[Outputs]
  exodus = true
[]

(test/tests/solid_mechanics/fecral_plasticity/power-law_strain_hardening/fecral_power-law_plasticity_rz.i)

# This input file tests the power-law strain hardening plasticity model
# for FeCrAl alloys. There are four blocks loaded in tension with a
# maximum displacement of 0.15 m and at different temperatures of
# 296, 551, 831 and 1014 K. These are among the reference temperatures
# for the hardening functions on which the model is based and are thus
# chosen for verification of the stress-strain calculation.

# As shown in the attached file (fecral_power-law_plasticity.xlsx),
# the BISON calculated true stresses as a function of the true
# plastic strains correctly follow the hardening functions at the
# given temperatures.

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  coord_type = RZ
  [mesh]
    type = FileMeshGenerator
    file = '../linear_strain_hardening/vertical_squares.e'
  []
[]

[Variables]
  [disp_x]
    order = FIRST
    family = LAGRANGE
  []
  [disp_y]
    order = FIRST
    family = LAGRANGE
  []
  [temp]
    order = FIRST
    family = LAGRANGE
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    block = '1 2 3 4'
    strain = FINITE
    incremental = true
    generate_output = 'stress_yy strain_yy plastic_strain_yy'
  []
[]

[Kernels]
  [heat]
    type = HeatConduction
    variable = temp
  []
[]

[Functions]
  [top_pull]
    type = ParsedFunction
    expression = t*(0.015)
  []
[]

[BCs]
  [square1]
    type = DirichletBC
    variable = temp
    boundary = '1 2 3 4'
    value = 296.0
  []
  [square2]
    type = DirichletBC
    variable = temp
    boundary = '5 6 7 8'
    value = 551.0
  []
  [square3]
    type = DirichletBC
    variable = temp
    boundary = '9 10 11 12'
    value = 831.0
  []
  [square4]
    type = DirichletBC
    variable = temp
    boundary = '13 14 15 16'
    value = 1014.0
  []
  [top_pull]
    type = FunctionDirichletBC
    boundary = '1 5 9 13'
    variable = disp_y
    function = top_pull
  []
  [y_bot]
    type = DirichletBC
    boundary = '3 7 11 15'
    variable = disp_y
    value = 0.0
  []
  [x_bot]
    type = DirichletBC
    boundary = ' 2 6 10 14'
    variable = disp_x
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1.0e+10
    poissons_ratio = 0.3
    block = '1 2 3 4'
  []
  [stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'fecral_plasticity'
    block = '1 2 3 4'
  []
  [fecral_plasticity]
    type = FeCrAlPowerLawHardeningStressUpdate
    temperature = temp
    block = '1 2 3 4'
  []
  [heat_conduction]
    type = HeatConductionMaterial
    thermal_conductivity = 1
    specific_heat = 1
    block = '1 2 3 4'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-10

  start_time = 0.0
  end_time = 10
  dt = 0.1
[]

[Postprocessors]
  [plastic_strain_yy_square1]
    type = ElementalVariableValue
    elementid = 0
    variable = plastic_strain_yy
  []
  [plastic_strain_yy_square2]
    type = ElementalVariableValue
    elementid = 1
    variable = plastic_strain_yy
  []
  [plastic_strain_yy_square3]
    type = ElementalVariableValue
    elementid = 2
    variable = plastic_strain_yy
  []
  [plastic_strain_yy_square4]
    type = ElementalVariableValue
    elementid = 3
    variable = plastic_strain_yy
  []
  [stress_yy_square1]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_yy
  []
  [stress_yy_square2]
    type = ElementalVariableValue
    elementid = 1
    variable = stress_yy
  []
  [stress_yy_square3]
    type = ElementalVariableValue
    elementid = 2
    variable = stress_yy
  []
  [stress_yy_square4]
    type = ElementalVariableValue
    elementid = 3
    variable = stress_yy
  []
[]

[Outputs]
  exodus = true
[]

(test/tests/solid_mechanics/fecral_plasticity/power-law_strain_hardening/fecral_power-law_plasticity_rz.i)

# This input file tests the power-law strain hardening plasticity model
# for FeCrAl alloys. There are four blocks loaded in tension with a
# maximum displacement of 0.15 m and at different temperatures of
# 296, 551, 831 and 1014 K. These are among the reference temperatures
# for the hardening functions on which the model is based and are thus
# chosen for verification of the stress-strain calculation.

# As shown in the attached file (fecral_power-law_plasticity.xlsx),
# the BISON calculated true stresses as a function of the true
# plastic strains correctly follow the hardening functions at the
# given temperatures.

[GlobalParams]
  displacements = 'disp_x disp_y'
  volumetric_locking_correction = true
[]

[Mesh]
  coord_type = RZ
  [mesh]
    type = FileMeshGenerator
    file = '../linear_strain_hardening/vertical_squares.e'
  []
[]

[Variables]
  [disp_x]
    order = FIRST
    family = LAGRANGE
  []
  [disp_y]
    order = FIRST
    family = LAGRANGE
  []
  [temp]
    order = FIRST
    family = LAGRANGE
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    block = '1 2 3 4'
    strain = FINITE
    incremental = true
    generate_output = 'stress_yy strain_yy plastic_strain_yy'
  []
[]

[Kernels]
  [heat]
    type = HeatConduction
    variable = temp
  []
[]

[Functions]
  [top_pull]
    type = ParsedFunction
    expression = t*(0.015)
  []
[]

[BCs]
  [square1]
    type = DirichletBC
    variable = temp
    boundary = '1 2 3 4'
    value = 296.0
  []
  [square2]
    type = DirichletBC
    variable = temp
    boundary = '5 6 7 8'
    value = 551.0
  []
  [square3]
    type = DirichletBC
    variable = temp
    boundary = '9 10 11 12'
    value = 831.0
  []
  [square4]
    type = DirichletBC
    variable = temp
    boundary = '13 14 15 16'
    value = 1014.0
  []
  [top_pull]
    type = FunctionDirichletBC
    boundary = '1 5 9 13'
    variable = disp_y
    function = top_pull
  []
  [y_bot]
    type = DirichletBC
    boundary = '3 7 11 15'
    variable = disp_y
    value = 0.0
  []
  [x_bot]
    type = DirichletBC
    boundary = ' 2 6 10 14'
    variable = disp_x
    value = 0.0
  []
[]

[Materials]
  [elasticity_tensor]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1.0e+10
    poissons_ratio = 0.3
    block = '1 2 3 4'
  []
  [stress]
    type = ComputeMultipleInelasticStress
    tangent_operator = elastic
    inelastic_models = 'fecral_plasticity'
    block = '1 2 3 4'
  []
  [fecral_plasticity]
    type = FeCrAlPowerLawHardeningStressUpdate
    temperature = temp
    block = '1 2 3 4'
  []
  [heat_conduction]
    type = HeatConductionMaterial
    thermal_conductivity = 1
    specific_heat = 1
    block = '1 2 3 4'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'

  line_search = 'none'

  l_max_its = 100
  nl_max_its = 100
  nl_rel_tol = 1e-12
  nl_abs_tol = 1e-10
  l_tol = 1e-10

  start_time = 0.0
  end_time = 10
  dt = 0.1
[]

[Postprocessors]
  [plastic_strain_yy_square1]
    type = ElementalVariableValue
    elementid = 0
    variable = plastic_strain_yy
  []
  [plastic_strain_yy_square2]
    type = ElementalVariableValue
    elementid = 1
    variable = plastic_strain_yy
  []
  [plastic_strain_yy_square3]
    type = ElementalVariableValue
    elementid = 2
    variable = plastic_strain_yy
  []
  [plastic_strain_yy_square4]
    type = ElementalVariableValue
    elementid = 3
    variable = plastic_strain_yy
  []
  [stress_yy_square1]
    type = ElementalVariableValue
    elementid = 0
    variable = stress_yy
  []
  [stress_yy_square2]
    type = ElementalVariableValue
    elementid = 1
    variable = stress_yy
  []
  [stress_yy_square3]
    type = ElementalVariableValue
    elementid = 2
    variable = stress_yy
  []
  [stress_yy_square4]
    type = ElementalVariableValue
    elementid = 3
    variable = stress_yy
  []
[]

[Outputs]
  exodus = true
[]

Description
Example Input Syntax
Input Parameters
Input Files
References