MooseVariableConstMonomial

Specialization for constant monomials that avoids unnecessary loops

Specialization for constant monomial variables. It skips the interpolation into quadrature points and just copies the solution values there.

A detailed description of the MOOSE variable system is given in the base class documentation.

Input Parameters

arrayFalseTrue to make this variable a array variable regardless of number of components. If 'components' > 1, this will automatically be set to true.
Default:False
C++ Type:bool
Controllable:No
Description:True to make this variable a array variable regardless of number of components. If 'components' > 1, this will automatically be set to true.
array_var_component_namesOnly for use with array variables, allows setting custom names for each array variable component. If this not set, the default name for each array variable componenet is `base_name`+'_'+component number. If used, a name must be provided for each component and the values are used to name the components as `base_name`+'_'+ `array_var_component_names[component]`.
C++ Type:std::vector<std::string>
Controllable:No
Description:Only for use with array variables, allows setting custom names for each array variable component. If this not set, the default name for each array variable componenet is `base_name`+'_'+component number. If used, a name must be provided for each component and the values are used to name the components as `base_name`+'_'+ `array_var_component_names[component]`.
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
components1Number of components for an array variable
Default:1
C++ Type:unsigned int
Controllable:No
Description:Number of components for an array variable
disable_p_refinementFalseTrue to disable p-refinement for this variable. Note that because this happens on the family basis, users need to have this flag consistently set for all variables in the same family. Currently MOOSE disables p-refinement for variables in the following families by default: LAGRANGE NEDELEC_ONE RAVIART_THOMAS LAGRANGE_VEC CLOUGH BERNSTEIN and RATIONAL_BERNSTEIN.
Default:False
C++ Type:bool
Controllable:No
Description:True to disable p-refinement for this variable. Note that because this happens on the family basis, users need to have this flag consistently set for all variables in the same family. Currently MOOSE disables p-refinement for variables in the following families by default: LAGRANGE NEDELEC_ONE RAVIART_THOMAS LAGRANGE_VEC CLOUGH BERNSTEIN and RATIONAL_BERNSTEIN.
familyMONOMIALSpecifies the family of FE shape functions to use for this variable.
Default:MONOMIAL
C++ Type:MooseEnum
Options:LAGRANGE, MONOMIAL, HERMITE, SCALAR, HIERARCHIC, CLOUGH, XYZ, SZABAB, BERNSTEIN, L2_LAGRANGE, L2_HIERARCHIC, NEDELEC_ONE, LAGRANGE_VEC, MONOMIAL_VEC, RAVIART_THOMAS, RATIONAL_BERNSTEIN, SIDE_HIERARCHIC, L2_HIERARCHIC_VEC, L2_LAGRANGE_VEC, L2_RAVIART_THOMAS
Controllable:No
Description:Specifies the family of FE shape functions to use for this variable.
fvFalseTrue to make this variable a finite volume variable
Default:False
C++ Type:bool
Controllable:No
Description:True to make this variable a finite volume variable
initial_conditionSpecifies a constant initial condition for this variable
C++ Type:std::vector<double>
Unit:(no unit assumed)
Controllable:No
Description:Specifies a constant initial condition for this variable
initial_from_file_varGives the name of a variable for which to read an initial condition from a mesh file
C++ Type:std::string
Controllable:No
Description:Gives the name of a variable for which to read an initial condition from a mesh file
orderCONSTANTOrder of the FE shape function to use for this variable (additional orders not listed here are allowed, depending on the family).
Default:CONSTANT
C++ Type:MooseEnum
Options:CONSTANT, FIRST, SECOND, THIRD, FOURTH, FIFTH, SIXTH, SEVENTH, EIGHTH, NINTH, TENTH, ELEVENTH, TWELFTH, THIRTEENTH, FOURTEENTH, FIFTEENTH, SIXTEENTH, SEVENTEENTH, EIGHTTEENTH, NINETEENTH, TWENTIETH, TWENTYFIRST, TWENTYSECOND, TWENTYTHIRD, TWENTYFOURTH, TWENTYFIFTH, TWENTYSIXTH, TWENTYSEVENTH, TWENTYEIGHTH, TWENTYNINTH, THIRTIETH, THIRTYFIRST, THIRTYSECOND, THIRTYTHIRD, THIRTYFOURTH, THIRTYFIFTH, THIRTYSIXTH, THIRTYSEVENTH, THIRTYEIGHTH, THIRTYNINTH, FORTIETH, FORTYFIRST, FORTYSECOND, FORTYTHIRD
Controllable:No
Description:Order of the FE shape function to use for this variable (additional orders not listed here are allowed, depending on the family).
solver_sysnl0If this variable is a solver variable, this is the solver system to which it should be added.
Default:nl0
C++ Type:SolverSystemName
Controllable:No
Description:If this variable is a solver variable, this is the solver system to which it should be added.

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.
eigenFalseTrue to make this variable an eigen variable
Default:False
C++ Type:bool
Controllable:No
Description:True to make this variable an eigen variable
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:No
Description:Set the enabled status of the MooseObject.
outputsVector of output names where you would like to restrict the output of variables(s) associated with this object
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
scalingSpecifies a scaling factor to apply to this variable
C++ Type:std::vector<double>
Unit:(no unit assumed)
Controllable:No
Description:Specifies a scaling factor to apply to this variable
use_dualFalseTrue to use dual basis for Lagrange multipliers
Default:False
C++ Type:bool
Controllable:No
Description:True to use dual basis for Lagrange multipliers

Advanced Parameters

Input Files

(modules/navier_stokes/test/tests/finite_volume/ins/turbulence/lid-driven/newton_physics/lid-driven-turb-capped-physics.i)
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/neml2/large_neml.i)
(modules/navier_stokes/test/tests/finite_volume/ins/turbulence/lid-driven/newton_physics/lid-driven-turb-energy-wall-physics.i)
(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/neml2/small_neml.i)

(modules/navier_stokes/test/tests/finite_volume/ins/turbulence/lid-driven/newton_physics/lid-driven-turb-capped-physics.i)

##########################################################
# Lid-driven cavity test
# Reynolds: 5,000
# Author: Dr. Mauricio Tano
# Last Update: May, 2024
# Turbulent model using:
# k-epsilon model with capped mixing length
# Standard wall functions
# SIMPLE Solve
##########################################################

### Thermophysical Properties ###
mu = 2e-5
rho = 1.0

### Operation Conditions ###
lid_velocity = 1.0
side_length = 0.1

### k-epsilon Closure Parameters ###
sigma_k = 1.0
sigma_eps = 1.3
C1_eps = 1.44
C2_eps = 1.92
C_mu = 0.09
C_pl = 0.1

### Initial Conditions ###
intensity = 0.01
k_init = '${fparse 1.5*(intensity * lid_velocity)^2}'
eps_init = '${fparse C_mu^0.75 * k_init^1.5 / side_length}'
mu_t_init = '${fparse rho * C_mu * k_init * k_init / eps_init}'

### Modeling parameters ###
walls = 'left top right bottom'
bulk_wall_treatment = false
wall_treatment = 'eq_newton' # Options: eq_newton, eq_incremental, eq_linearized, neq

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = ${side_length}
    ymin = 0
    ymax = ${side_length}
    nx = 12
    ny = 12
  []
  [break_symmetries]
    type = ParsedNodeTransformGenerator
    input = gen
    constant_names = 'side_length'
    constant_expressions = '${side_length}'
    x_function = 'if(x<side_length*1.001 / 2 & x > side_length * 0.999 / 2, x * 1.05, x)'
    y_function = 'if(y<side_length*1.001 / 2 & y > side_length * 0.999 / 2, y * 1.05, y)'
  []
  # Prevent test diffing on distributed parallel element numbering
  allow_renumbering = false
[]

[Physics]
  [NavierStokes]
    [Flow]
      [flow]
        compressibility = 'incompressible'

        density = ${rho}
        dynamic_viscosity = ${mu}

        initial_pressure = 0.2
        initial_velocity = 'ini_vx ini_vy 0'

        wall_boundaries = 'top left right bottom'
        momentum_wall_types = 'noslip noslip noslip noslip'
        momentum_wall_functors = '${lid_velocity} 0; 0 0; 0 0; 0 0'

        pin_pressure = true
        pinned_pressure_type = point-value
        pinned_pressure_value = 0
        pinned_pressure_point = '0.01 0.099 0.0'

        momentum_two_term_bc_expansion = false
        pressure_two_term_bc_expansion = false
      []
    []
    [Turbulence]
      [keps]
        turbulence_handling = 'k-epsilon'

        tke_name = TKE
        tked_name = TKED

        # Initialization
        initial_tke = ${k_init}
        initial_tked = ${eps_init}
        initial_mu_t = ${mu_t_init}

        # Model parameters
        C1_eps = ${C1_eps}
        C2_eps = ${C2_eps}
        C_mu = ${C_mu}
        C_pl = ${C_pl}

        sigma_k = ${sigma_k}
        sigma_eps = ${sigma_eps}

        # Wall parameters
        turbulence_walls = ${walls}
        bulk_wall_treatment = ${bulk_wall_treatment}
        wall_treatment_eps = ${wall_treatment}

        # Numerical parameters
        turbulent_viscosity_two_term_bc_expansion = false
        mu_t_as_aux_variable = true
        tke_two_term_bc_expansion = false
        tked_two_term_bc_expansion = false
      []
    []
  []
[]

[Functions]
  [ini_vx]
    type = ParsedFunction
    expression = 'if(y>0.09, 0.1, -0.0001)'
  []
  [ini_vy]
    type = ParsedFunction
    expression = 'if(x>0.05, -0.001, 0.001)'
  []
[]

[AuxVariables]
  [dummy]
    type = MooseVariableConstMonomial
  []
[]
[Bounds]
  [min_tke]
    type = ConstantBounds
    variable = dummy
    bound_value = 1e-8
    bounded_variable = TKE
    bound_type = lower
  []
  [min_eps]
    type = ConstantBounds
    variable = dummy
    bound_value = 1e-8
    bounded_variable = TKED
    bound_type = lower
  []
[]

[Executioner]
  type = Steady
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -snes_type'
  petsc_options_value = 'lu        NONZERO              vinewtonrsls '
  nl_abs_tol = 1e-7
  nl_rel_tol = 1e-8
  nl_max_its = 100
  line_search = none
  automatic_scaling = true
[]

[Outputs]
  csv = true
  perf_graph = false
  print_nonlinear_residuals = true
  print_linear_residuals = false
[]

[VectorPostprocessors]
  [side_bottom]
    type = SideValueSampler
    boundary = 'bottom'
    variable = 'vel_x vel_y pressure TKE TKED'
    sort_by = 'x'
    execute_on = 'timestep_end'
  []
  [side_top]
    type = SideValueSampler
    boundary = 'top'
    variable = 'vel_x vel_y pressure TKE TKED'
    sort_by = 'x'
    execute_on = 'timestep_end'
  []
  [side_left]
    type = SideValueSampler
    boundary = 'left'
    variable = 'vel_x vel_y pressure TKE TKED'
    sort_by = 'y'
    execute_on = 'timestep_end'
  []
  [side_right]
    type = SideValueSampler
    boundary = 'right'
    variable = 'vel_x vel_y pressure TKE TKED'
    sort_by = 'y'
    execute_on = 'timestep_end'
  []
  [horizontal_center]
    type = LineValueSampler
    start_point = '${fparse 0.01 * side_length} ${fparse 0.499 * side_length} 0'
    end_point = '${fparse 0.99 * side_length} ${fparse 0.499 * side_length} 0'
    num_points = ${Mesh/gen/nx}
    variable = 'vel_x vel_y pressure TKE TKED'
    sort_by = 'x'
    execute_on = 'timestep_end'
  []
  [vertical_center]
    type = LineValueSampler
    start_point = '${fparse 0.499 * side_length} ${fparse 0.01 * side_length} 0'
    end_point = '${fparse 0.499 * side_length} ${fparse 0.99 * side_length} 0'
    num_points =  ${Mesh/gen/ny}
    variable = 'vel_x vel_y pressure TKE TKED'
    sort_by = 'y'
    execute_on = 'timestep_end'
  []
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/neml2/large_neml.i)

constraint_types = 'strain strain strain stress stress stress stress strain stress'
targets = 'strain11 zero zero zero zero zero zero zero zero'

[Mesh]
  [base]
    type = FileMeshGenerator
    file = '3d.exo'
  []

  [sidesets]
    type = SideSetsFromNormalsGenerator
    input = base
    normals = '-1 0 0
                1 0 0
                0 -1 0
                0 1 0
            '
              '    0 0 -1
                0 0 1'
    fixed_normal = true
    new_boundary = 'left right bottom top back front'
  []
[]

[BCs]
  [fix1_x]
    type = DirichletBC
    boundary = fix_all
    displacements = 'disp_x disp_y disp_z'
    matrix_tags = 'system time'
    value = 0
    variable = disp_x
    vector_tags = residual
  []
[]

[BCs]
  [fix1_y]
    type = DirichletBC
    boundary = fix_all
    displacements = 'disp_x disp_y disp_z'
    matrix_tags = 'system time'
    value = 0
    variable = disp_y
    vector_tags = residual
  []
[]

[BCs]
  [fix1_z]
    type = DirichletBC
    boundary = fix_all
    displacements = 'disp_x disp_y disp_z'
    matrix_tags = 'system time'
    value = 0
    variable = disp_z
    vector_tags = residual
  []
[]

[BCs]
  [fix2_x]
    type = DirichletBC
    boundary = fix_xy
    displacements = 'disp_x disp_y disp_z'
    matrix_tags = 'system time'
    value = 0
    variable = disp_x
    vector_tags = residual
  []
[]

[BCs]
  [fix2_y]
    type = DirichletBC
    boundary = fix_xy
    displacements = 'disp_x disp_y disp_z'
    matrix_tags = 'system time'
    value = 0
    variable = disp_y
    vector_tags = residual
  []
[]

[BCs]
  [fix3_z]
    type = DirichletBC
    boundary = fix_z
    displacements = 'disp_x disp_y disp_z'
    matrix_tags = 'system time'
    value = 0
    variable = disp_z
    vector_tags = residual
  []
[]

[BCs]
  [Periodic]
    [x]
      variable = disp_x
      auto_direction = 'x y z'
    []
    [y]
      variable = disp_y
      auto_direction = 'x y z'
    []
    [z]
      variable = disp_z
      auto_direction = 'x y z'
    []
  []
[]



[Functions]
  [strain11]
    type = ParsedFunction
    expression = 't'
  []
[]

[Functions]
  [zero]
    type = ConstantFunction
    value = 0
  []
[]

[Materials]
  [convert_strain]
    type = RankTwoTensorToSymmetricRankTwoTensor
    from = mechanical_strain
    outputs = none
    to = neml2_strain
  []
[]

[Materials]
  [stress]
    type = ComputeLagrangianObjectiveCustomSymmetricStress
    custom_small_jacobian = neml2_jacobian
    custom_small_stress = neml2_stress
    large_kinematics = true
    outputs = none
  []
  [compute_homogenization_gradient]
    type = ComputeHomogenizedLagrangianStrain
    constraint_types = ${constraint_types}
    targets = ${targets}
    macro_gradient = hvar
  []
  [compute_strain]
    type = ComputeLagrangianStrain
    homogenization_gradient_names = 'homogenization_gradient'
    displacements = 'disp_x disp_y disp_z'
    large_kinematics = true
  []
[]

[Materials]
  [material_neml2_to_moose_stress]
    type = NEML2ToMOOSESymmetricRankTwoTensorMaterialProperty
    block = ''
    from_neml2 = state/S
    neml2_executor = neml2_model_all
    outputs = none
    to_moose = neml2_stress
  []
  [material_neml2_to_moose_jacobian]
    type = NEML2ToMOOSESymmetricRankFourTensorMaterialProperty
    block = ''
    from_neml2 = state/S
    neml2_executor = neml2_model_all
    neml2_input_derivative = forces/E
    outputs = none
    to_moose = neml2_jacobian
  []
[]

[UserObjects]
  [UO_strain_moose_to_neml2]
    type = MOOSESymmetricRankTwoTensorMaterialPropertyToNEML2
    block = ''
    execute_on = 'INITIAL LINEAR NONLINEAR'
    from_moose = neml2_strain
    to_neml2 = forces/E
  []
  [neml2_index_model_all]
    type = NEML2BatchIndexGenerator
    block = ''
    execute_on = 'INITIAL LINEAR NONLINEAR'
  []
  [neml2_model_all]
    type = NEML2ModelExecutor
    batch_index_generator = neml2_index_model_all
    device = cpu
    execute_on = 'INITIAL LINEAR NONLINEAR'
    gatherers = UO_strain_moose_to_neml2
    input = neml2_elastic.i
    model = model
    param_gatherers = ''
    execution_order_group = 1
  []
[]

[Variables]
  [disp_x]
    type = MooseVariable
    family = LAGRANGE
    order = FIRST
  []
  [disp_y]
    type = MooseVariable
    family = LAGRANGE
    order = FIRST
  []
  [disp_z]
    type = MooseVariable
    family = LAGRANGE
    order = FIRST
  []
[]

[AuxKernels]
  [pk1_stress_xx_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = pk1_stress_xx
    variable = pk1_stress_xx
  []
  [pk1_stress_xy_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = pk1_stress_xy
    variable = pk1_stress_xy
  []
  [pk1_stress_xz_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = pk1_stress_xz
    variable = pk1_stress_xz
  []
  [pk1_stress_yx_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = pk1_stress_yx
    variable = pk1_stress_yx
  []
  [pk1_stress_yy_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = pk1_stress_yy
    variable = pk1_stress_yy
  []
  [pk1_stress_yz_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = pk1_stress_yz
    variable = pk1_stress_yz
  []
  [pk1_stress_zx_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = pk1_stress_zx
    variable = pk1_stress_zx
  []
  [pk1_stress_zy_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = pk1_stress_zy
    variable = pk1_stress_zy
  []
  [pk1_stress_zz_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = pk1_stress_zz
    variable = pk1_stress_zz
  []
  [deformation_gradient_xx_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_xx
    variable = deformation_gradient_xx
  []
  [deformation_gradient_xy_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_xy
    variable = deformation_gradient_xy
  []
  [deformation_gradient_xz_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_xz
    variable = deformation_gradient_xz
  []
  [deformation_gradient_yx_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_yx
    variable = deformation_gradient_yx
  []
  [deformation_gradient_yy_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_yy
    variable = deformation_gradient_yy
  []
  [deformation_gradient_yz_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_yz
    variable = deformation_gradient_yz
  []
  [deformation_gradient_zx_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_zx
    variable = deformation_gradient_zx
  []
  [deformation_gradient_zy_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_zy
    variable = deformation_gradient_zy
  []
  [deformation_gradient_zz_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_zz
    variable = deformation_gradient_zz
  []
[]

[AuxVariables]
  [pk1_stress_xx]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [pk1_stress_xy]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [pk1_stress_xz]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [pk1_stress_yx]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [pk1_stress_yy]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [pk1_stress_yz]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [pk1_stress_zx]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [pk1_stress_zy]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [pk1_stress_zz]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_xx]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_xy]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_xz]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_yx]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_yy]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_yz]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_zx]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_zy]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_zz]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
[]

[Kernels]
  [TM_all0]
    type = HomogenizedTotalLagrangianStressDivergence
    component = 0
    displacements = 'disp_x disp_y disp_z'
    large_kinematics = true
    stabilize_strain = false
    variable = disp_x
    macro_var = hvar
    constraint_types = ${constraint_types}
    targets = ${targets}
  []
  [TM_all1]
    type = HomogenizedTotalLagrangianStressDivergence
    component = 1
    displacements = 'disp_x disp_y disp_z'
    large_kinematics = true
    stabilize_strain = false
    variable = disp_y
    macro_var = hvar
    constraint_types = ${constraint_types}
    targets = ${targets}
  []
  [TM_all2]
    type = HomogenizedTotalLagrangianStressDivergence
    component = 2
    displacements = 'disp_x disp_y disp_z'
    large_kinematics = true
    stabilize_strain = false
    variable = disp_z
    macro_var = hvar
    constraint_types = ${constraint_types}
    targets = ${targets}
  []
[]

[Materials]
  [pk1_stress_xx_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 0
    index_j = 0
    outputs = none
    property_name = pk1_stress_xx
    rank_two_tensor = pk1_stress
  []
  [pk1_stress_xy_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 0
    index_j = 1
    outputs = none
    property_name = pk1_stress_xy
    rank_two_tensor = pk1_stress
  []
  [pk1_stress_xz_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 0
    index_j = 2
    outputs = none
    property_name = pk1_stress_xz
    rank_two_tensor = pk1_stress
  []
  [pk1_stress_yx_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 1
    index_j = 0
    outputs = none
    property_name = pk1_stress_yx
    rank_two_tensor = pk1_stress
  []
  [pk1_stress_yy_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 1
    index_j = 1
    outputs = none
    property_name = pk1_stress_yy
    rank_two_tensor = pk1_stress
  []
  [pk1_stress_yz_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 1
    index_j = 2
    outputs = none
    property_name = pk1_stress_yz
    rank_two_tensor = pk1_stress
  []
  [pk1_stress_zx_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 2
    index_j = 0
    outputs = none
    property_name = pk1_stress_zx
    rank_two_tensor = pk1_stress
  []
  [pk1_stress_zy_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 2
    index_j = 1
    outputs = none
    property_name = pk1_stress_zy
    rank_two_tensor = pk1_stress
  []
  [pk1_stress_zz_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 2
    index_j = 2
    outputs = none
    property_name = pk1_stress_zz
    rank_two_tensor = pk1_stress
  []
  [deformation_gradient_xx_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 0
    index_j = 0
    outputs = none
    property_name = deformation_gradient_xx
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_xy_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 0
    index_j = 1
    outputs = none
    property_name = deformation_gradient_xy
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_xz_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 0
    index_j = 2
    outputs = none
    property_name = deformation_gradient_xz
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_yx_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 1
    index_j = 0
    outputs = none
    property_name = deformation_gradient_yx
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_yy_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 1
    index_j = 1
    outputs = none
    property_name = deformation_gradient_yy
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_yz_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 1
    index_j = 2
    outputs = none
    property_name = deformation_gradient_yz
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_zx_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 2
    index_j = 0
    outputs = none
    property_name = deformation_gradient_zx
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_zy_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 2
    index_j = 1
    outputs = none
    property_name = deformation_gradient_zy
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_zz_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 2
    index_j = 2
    outputs = none
    property_name = deformation_gradient_zz
    rank_two_tensor = deformation_gradient
  []
[]

[Variables]
  [hvar]
    type = MooseVariableScalar
    family = SCALAR
    order = NINTH
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient

  residual_and_jacobian_together = true

  solve_type = 'newton'
  line_search = 'none'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 20
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 0.2
  dtmin = 0.2
  end_time = 1.0
[]

[Outputs]
  [out]
    type = Exodus
  []
[]

[Postprocessors]
  [time]
    type = TimePostprocessor
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
  [mCS_xx]
    type     = ElementAverageValue
    variable = pk1_stress_xx
  []
  [mCS_yy]
    type     = ElementAverageValue
    variable = pk1_stress_yy
  []
  [mCS_zz]
    type     = ElementAverageValue
    variable = pk1_stress_zz
  []
  [mCS_xy]
    type     = ElementAverageValue
    variable = pk1_stress_xy
  []
  [mCS_xz]
    type     = ElementAverageValue
    variable = pk1_stress_xz
  []
  [mCS_yx]
    type     = ElementAverageValue
    variable = pk1_stress_yx
  []
  [mCS_yz]
    type     = ElementAverageValue
    variable = pk1_stress_yz
  []
  [mCS_zy]
    type     = ElementAverageValue
    variable = pk1_stress_zy
  []
  [mCS_zx]
    type     = ElementAverageValue
    variable = pk1_stress_zx
  []
[]

(modules/navier_stokes/test/tests/finite_volume/ins/turbulence/lid-driven/newton_physics/lid-driven-turb-energy-wall-physics.i)

##########################################################
# Lid-driven cavity test
# Reynolds: 5,000
# Author: Dr. Mauricio Tano & Guillaume Giudicelli
# Last Update: July 2024
# Turbulent model using:
# k-epsilon model
# Standard wall functions with temperature wall functions
# Physics-based syntax
# Fully coupled solve
##########################################################

# Note:
# - in the original input k_t is lagged

### Thermophysical Properties ###
mu = 2e-5
rho = 1.0
k = 0.01
cp = 10.0
Pr_t = 0.9

### Operation Conditions ###
lid_velocity = 1.0
side_length = 0.1

### k-epsilon Closure Parameters ###
sigma_k = 1.0
sigma_eps = 1.3
C1_eps = 1.44
C2_eps = 1.92
C_mu = 0.09

### Initial Conditions ###
intensity = 0.01
k_init = '${fparse 1.5*(intensity * lid_velocity)^2}'
eps_init = '${fparse C_mu^0.75 * k_init^1.5 / side_length}'
mu_t_init = '${fparse rho * C_mu * k_init * k_init / eps_init}'

### Modeling parameters ###
bulk_wall_treatment = false
walls = 'left top right bottom'
wall_treatment_eps = 'eq_newton' # Options: eq_newton, eq_incremental, eq_linearized, neq
wall_treatment_tem = 'eq_linearized' # Options: eq_newton, eq_incremental, eq_linearized, neq

[Mesh]
  [gen]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = ${side_length}
    ymin = 0
    ymax = ${side_length}
    nx = 12
    ny = 12
  []
  # Prevent test diffing on distributed parallel element numbering
  allow_renumbering = false
[]

[Physics]
  [NavierStokes]
    [Flow]
      [flow]
        compressibility = 'incompressible'

        # Material properties
        density = ${rho}
        dynamic_viscosity = ${mu}

        # Initial conditions
        initial_pressure = 0.2
        # Need a non-zero starting velocity to avoid
        # sparsity pattern + Newton error
        initial_velocity = '1e-10 1e-10 0'

        wall_boundaries = 'left right bottom top'
        momentum_wall_types = 'noslip noslip noslip noslip'
        momentum_wall_functors = '0 0; 0 0; 0 0; ${lid_velocity} 0'

        pin_pressure = true
        pinned_pressure_type = point-value
        pinned_pressure_value = 0
        pinned_pressure_point = '0.01 0.099 0.0'

        # Numerical parameters
        momentum_two_term_bc_expansion = false
        pressure_two_term_bc_expansion = false
      []
    []
    [FluidHeatTransfer]
      [energy]
        coupled_flow_physics = flow

        thermal_conductivity = ${k}
        specific_heat = ${cp}

        initial_temperature = '1'

        # Energy turbulent boundary conditions are specified in
        # the turbulence block
        energy_wall_types = 'heatflux heatflux wallfunction wallfunction'
        energy_wall_functors = '0 0 0 1'

        # Numerical parameters
        energy_advection_interpolation = 'average'
        energy_two_term_bc_expansion = false
      []
    []
    [Turbulence]
      [keps]
        fluid_heat_transfer_physics = energy
        turbulence_handling = 'k-epsilon'

        tke_name = TKE
        tked_name = TKED

        # Initialization
        initial_tke = ${k_init}
        initial_tked = ${eps_init}
        initial_mu_t = ${mu_t_init}

        # Fluid properties
        Pr_t = ${Pr_t}

        # Model parameters
        C1_eps = ${C1_eps}
        C2_eps = ${C2_eps}
        C_mu = ${C_mu}
        sigma_k = ${sigma_k}
        sigma_eps = ${sigma_eps}

        # Wall parameters
        turbulence_walls = ${walls}
        bulk_wall_treatment = ${bulk_wall_treatment}
        wall_treatment_eps = ${wall_treatment_eps}
        wall_treatment_T = ${wall_treatment_tem}

        # Numerical parameters
        turbulent_viscosity_two_term_bc_expansion = false
        mu_t_as_aux_variable = true
        k_t_as_aux_variable = true
        # this case requires it for convergence
        linearize_sink_sources = true
        neglect_advection_derivatives = true

        # needed for non-negative face values
        tke_two_term_bc_expansion = false
        tked_two_term_bc_expansion = false
      []
    []
  []
[]

[AuxVariables]
  [dummy]
    type = MooseVariableConstMonomial
  []
[]
[Bounds]
  [min_tke]
    type = ConstantBounds
    variable = dummy
    bound_value = 1e-8
    bounded_variable = TKE
    bound_type = lower
  []
  [min_eps]
    type = ConstantBounds
    variable = dummy
    bound_value = 1e-8
    bounded_variable = TKED
    bound_type = lower
  []
[]

[Executioner]
  type = Steady
  petsc_options_iname = '-pc_type -pc_factor_shift_type -snes_type'
  petsc_options_value = 'lu NONZERO vinewtonrsls'
  nl_rel_tol = 1e-10
  nl_abs_tol = 5e-8
  nl_max_its = 100

  # Necessary for these cases
  snesmf_reuse_base = false
  line_search = none
[]

[Outputs]
  csv = true
  exodus = true
  perf_graph = false
  print_nonlinear_residuals = true
  print_linear_residuals = false
[]

[VectorPostprocessors]
  [side_bottom]
    type = SideValueSampler
    boundary = 'bottom'
    variable = 'vel_x vel_y pressure TKE TKED'
    sort_by = 'x'
    execute_on = 'timestep_end'
  []
  [side_top]
    type = SideValueSampler
    boundary = 'top'
    variable = 'vel_x vel_y pressure TKE TKED'
    sort_by = 'x'
    execute_on = 'timestep_end'
  []
  [side_left]
    type = SideValueSampler
    boundary = 'left'
    variable = 'vel_x vel_y pressure TKE TKED'
    sort_by = 'y'
    execute_on = 'timestep_end'
  []
  [side_right]
    type = SideValueSampler
    boundary = 'right'
    variable = 'vel_x vel_y pressure TKE TKED'
    sort_by = 'y'
    execute_on = 'timestep_end'
  []
  [horizontal_center]
    type = LineValueSampler
    start_point = '${fparse 0.01 * side_length} ${fparse 0.499 * side_length} 0'
    end_point = '${fparse 0.99 * side_length} ${fparse 0.499 * side_length} 0'
    num_points = ${Mesh/gen/nx}
    variable = 'vel_x vel_y pressure TKE TKED'
    sort_by = 'x'
    execute_on = 'timestep_end'
  []
  [vertical_center]
    type = LineValueSampler
    start_point = '${fparse 0.499 * side_length} ${fparse 0.01 * side_length} 0'
    end_point = '${fparse 0.499 * side_length} ${fparse 0.99 * side_length} 0'
    num_points =  ${Mesh/gen/ny}
    variable = 'vel_x vel_y pressure TKE TKED'
    sort_by = 'y'
    execute_on = 'timestep_end'
  []
[]

(modules/solid_mechanics/test/tests/lagrangian/cartesian/total/homogenization/neml2/small_neml.i)

constraint_types = 'strain none none stress stress stress stress none stress'
targets = 'strain11 zero zero zero zero zero'

[Mesh]
  [base]
    type = FileMeshGenerator
    file = '3d.exo'
  []

  [sidesets]
    type = SideSetsFromNormalsGenerator
    input = base
    normals = '-1 0 0
                1 0 0
                0 -1 0
                0 1 0
                0 0 -1
                0 0 1'
    fixed_normal = true
    new_boundary = 'left right bottom top back front'
  []
[]

[BCs]
  [fix1_x]
    type = DirichletBC
    boundary = fix_all
    displacements = 'disp_x disp_y disp_z'
    matrix_tags = 'system time'
    value = 0
    variable = disp_x
    vector_tags = residual
  []
[]

[BCs]
  [fix1_y]
    type = DirichletBC
    boundary = fix_all
    displacements = 'disp_x disp_y disp_z'
    matrix_tags = 'system time'
    value = 0
    variable = disp_y
    vector_tags = residual
  []
[]

[BCs]
  [fix1_z]
    type = DirichletBC
    boundary = fix_all
    displacements = 'disp_x disp_y disp_z'
    matrix_tags = 'system time'
    value = 0
    variable = disp_z
    vector_tags = residual
  []
[]

[BCs]
  [fix2_x]
    type = DirichletBC
    boundary = fix_xy
    displacements = 'disp_x disp_y disp_z'
    matrix_tags = 'system time'
    value = 0
    variable = disp_x
    vector_tags = residual
  []
[]

[BCs]
  [fix2_y]
    type = DirichletBC
    boundary = fix_xy
    displacements = 'disp_x disp_y disp_z'
    matrix_tags = 'system time'
    value = 0
    variable = disp_y
    vector_tags = residual
  []
[]

[BCs]
  [fix3_z]
    type = DirichletBC
    boundary = fix_z
    displacements = 'disp_x disp_y disp_z'
    matrix_tags = 'system time'
    value = 0
    variable = disp_z
    vector_tags = residual
  []
[]

[Functions]
  [strain11]
    type = ParsedFunction
    expression = t
  []
[]

[Functions]
  [zero]
    type = ConstantFunction
    value = 0
  []
[]

[Materials]
  [compute_homogenization_gradient]
    type = ComputeHomogenizedLagrangianStrain
    constraint_types = ${constraint_types}
    targets = ${targets}
    macro_gradient = hvar
  []
  [compute_strain]
    type = ComputeLagrangianStrain
    homogenization_gradient_names = 'homogenization_gradient'
    displacements = 'disp_x disp_y disp_z'
  []
[]

[Materials]
  [neml2_stress_to_moose]
    type = NEML2ToMOOSESymmetricRankTwoTensorMaterialProperty
    block = ''
    from_neml2 = state/S
    neml2_executor = neml2_model_all
    outputs = none
    to_moose = neml2_stress
  []
  [neml2_jacobian_to_moose]
    type = NEML2ToMOOSESymmetricRankFourTensorMaterialProperty
    block = ''
    from_neml2 = state/S
    neml2_executor = neml2_model_all
    neml2_input_derivative = forces/E
    outputs = none
    to_moose = neml2_jacobian
  []
[]

[Materials]
  [convert_strain]
    type = RankTwoTensorToSymmetricRankTwoTensor
    from = mechanical_strain
    outputs = none
    to = neml2_strain
  []
[]

[Materials]
  [stress]
    type = ComputeLagrangianObjectiveCustomSymmetricStress
    custom_small_jacobian = neml2_jacobian
    custom_small_stress = neml2_stress
    large_kinematics = false
    outputs = none
  []
[]

[BCs]
  [Periodic]
    [x]
      variable = disp_x
      auto_direction = 'x y z'
    []
    [y]
      variable = disp_y
      auto_direction = 'x y z'
    []
    [z]
      variable = disp_z
      auto_direction = 'x y z'
    []
  []
[]

[UserObjects]
  [moose_strain_to_jacobian]
    type = MOOSESymmetricRankTwoTensorMaterialPropertyToNEML2
    block = ''
    execute_on = 'INITIAL LINEAR NONLINEAR'
    from_moose = neml2_strain
    to_neml2 = forces/E
  []
  [neml2_index_model_all]
    type = NEML2BatchIndexGenerator
    block = ''
    execute_on = 'INITIAL LINEAR NONLINEAR'
  []
  [neml2_model_all]
    type = NEML2ModelExecutor
    batch_index_generator = neml2_index_model_all
    device = cpu
    execute_on = 'INITIAL LINEAR NONLINEAR'
    gatherers = moose_strain_to_jacobian
    input = neml2_elastic.i
    model = model
    param_gatherers = ''
  []
[]

[Variables]
  [disp_x]
    type = MooseVariable
    family = LAGRANGE
    order = FIRST
  []
  [disp_y]
    type = MooseVariable
    family = LAGRANGE
    order = FIRST
  []
  [disp_z]
    type = MooseVariable
    family = LAGRANGE
    order = FIRST
  []
  [hvar]
    type = MooseVariableScalar
    family = SCALAR
    order = SIXTH
  []
[]

[AuxKernels]
  [cauchy_stress_xx_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = cauchy_stress_xx
    variable = cauchy_stress_xx
  []
  [cauchy_stress_xy_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = cauchy_stress_xy
    variable = cauchy_stress_xy
  []
  [cauchy_stress_xz_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = cauchy_stress_xz
    variable = cauchy_stress_xz
  []
  [cauchy_stress_yx_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = cauchy_stress_yx
    variable = cauchy_stress_yx
  []
  [cauchy_stress_yy_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = cauchy_stress_yy
    variable = cauchy_stress_yy
  []
  [cauchy_stress_yz_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = cauchy_stress_yz
    variable = cauchy_stress_yz
  []
  [cauchy_stress_zx_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = cauchy_stress_zx
    variable = cauchy_stress_zx
  []
  [cauchy_stress_zy_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = cauchy_stress_zy
    variable = cauchy_stress_zy
  []
  [cauchy_stress_zz_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = cauchy_stress_zz
    variable = cauchy_stress_zz
  []
  [deformation_gradient_xx_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_xx
    variable = deformation_gradient_xx
  []
  [deformation_gradient_xy_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_xy
    variable = deformation_gradient_xy
  []
  [deformation_gradient_xz_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_xz
    variable = deformation_gradient_xz
  []
  [deformation_gradient_yx_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_yx
    variable = deformation_gradient_yx
  []
  [deformation_gradient_yy_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_yy
    variable = deformation_gradient_yy
  []
  [deformation_gradient_yz_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_yz
    variable = deformation_gradient_yz
  []
  [deformation_gradient_zx_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_zx
    variable = deformation_gradient_zx
  []
  [deformation_gradient_zy_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_zy
    variable = deformation_gradient_zy
  []
  [deformation_gradient_zz_all]
    type = MaterialRealAux
    block = ''
    execute_on = TIMESTEP_END
    property = deformation_gradient_zz
    variable = deformation_gradient_zz
  []
[]

[AuxVariables]
  [cauchy_stress_xx]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [cauchy_stress_xy]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [cauchy_stress_xz]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [cauchy_stress_yx]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [cauchy_stress_yy]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [cauchy_stress_yz]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [cauchy_stress_zx]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [cauchy_stress_zy]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [cauchy_stress_zz]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_xx]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_xy]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_xz]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_yx]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_yy]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_yz]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_zx]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_zy]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
  [deformation_gradient_zz]
    type = MooseVariableConstMonomial
    family = MONOMIAL
    order = CONSTANT
  []
[]

[Kernels]
  [TM_all0]
    type = HomogenizedTotalLagrangianStressDivergence
    component = 0
    displacements = 'disp_x disp_y disp_z'
    large_kinematics = false
    stabilize_strain = false
    variable = disp_x
    macro_var = hvar
    constraint_types = ${constraint_types}
    targets = ${targets}
  []
  [TM_all1]
    type = HomogenizedTotalLagrangianStressDivergence
    component = 1
    displacements = 'disp_x disp_y disp_z'
    large_kinematics = false
    stabilize_strain = false
    variable = disp_y
    macro_var = hvar
    constraint_types = ${constraint_types}
    targets = ${targets}
  []
  [TM_all2]
    type = HomogenizedTotalLagrangianStressDivergence
    component = 2
    displacements = 'disp_x disp_y disp_z'
    large_kinematics = false
    stabilize_strain = false
    variable = disp_z
    macro_var = hvar
    constraint_types = ${constraint_types}
    targets = ${targets}
  []
[]

[Materials]
  [cauchy_stress_xx_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 0
    index_j = 0
    outputs = none
    property_name = cauchy_stress_xx
    rank_two_tensor = cauchy_stress
  []
  [cauchy_stress_xy_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 0
    index_j = 1
    outputs = none
    property_name = cauchy_stress_xy
    rank_two_tensor = cauchy_stress
  []
  [cauchy_stress_xz_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 0
    index_j = 2
    outputs = none
    property_name = cauchy_stress_xz
    rank_two_tensor = cauchy_stress
  []
  [cauchy_stress_yx_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 1
    index_j = 0
    outputs = none
    property_name = cauchy_stress_yx
    rank_two_tensor = cauchy_stress
  []
  [cauchy_stress_yy_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 1
    index_j = 1
    outputs = none
    property_name = cauchy_stress_yy
    rank_two_tensor = cauchy_stress
  []
  [cauchy_stress_yz_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 1
    index_j = 2
    outputs = none
    property_name = cauchy_stress_yz
    rank_two_tensor = cauchy_stress
  []
  [cauchy_stress_zx_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 2
    index_j = 0
    outputs = none
    property_name = cauchy_stress_zx
    rank_two_tensor = cauchy_stress
  []
  [cauchy_stress_zy_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 2
    index_j = 1
    outputs = none
    property_name = cauchy_stress_zy
    rank_two_tensor = cauchy_stress
  []
  [cauchy_stress_zz_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 2
    index_j = 2
    outputs = none
    property_name = cauchy_stress_zz
    rank_two_tensor = cauchy_stress
  []
  [deformation_gradient_xx_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 0
    index_j = 0
    outputs = none
    property_name = deformation_gradient_xx
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_xy_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 0
    index_j = 1
    outputs = none
    property_name = deformation_gradient_xy
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_xz_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 0
    index_j = 2
    outputs = none
    property_name = deformation_gradient_xz
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_yx_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 1
    index_j = 0
    outputs = none
    property_name = deformation_gradient_yx
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_yy_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 1
    index_j = 1
    outputs = none
    property_name = deformation_gradient_yy
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_yz_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 1
    index_j = 2
    outputs = none
    property_name = deformation_gradient_yz
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_zx_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 2
    index_j = 0
    outputs = none
    property_name = deformation_gradient_zx
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_zy_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 2
    index_j = 1
    outputs = none
    property_name = deformation_gradient_zy
    rank_two_tensor = deformation_gradient
  []
  [deformation_gradient_zz_all]
    type = RankTwoCartesianComponent
    block = ''
    index_i = 2
    index_j = 2
    outputs = none
    property_name = deformation_gradient_zz
    rank_two_tensor = deformation_gradient
  []
[]

[Executioner]
  type = Transient

  residual_and_jacobian_together = true

  solve_type = 'newton'
  line_search = 'none'

  petsc_options_iname = '-pc_type'
  petsc_options_value = 'lu'

  l_max_its = 2
  l_tol = 1e-14
  nl_max_its = 20
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10

  start_time = 0.0
  dt = 0.2
  dtmin = 0.2
  end_time = 1.0
[]

[Outputs]
  [out]
    type = Exodus
  []
[]

[Postprocessors]
  [time]
    type = TimePostprocessor
    execute_on = 'INITIAL TIMESTEP_BEGIN'
  []
  [mCS_xx]
    type = ElementAverageValue
    variable = cauchy_stress_xx
  []
  [mCS_yy]
    type = ElementAverageValue
    variable = cauchy_stress_yy
  []
  [mCS_zz]
    type = ElementAverageValue
    variable = cauchy_stress_zz
  []
  [mCS_xy]
    type = ElementAverageValue
    variable = cauchy_stress_xy
  []
  [mCS_xz]
    type = ElementAverageValue
    variable = cauchy_stress_xz
  []
  [mCS_yx]
    type = ElementAverageValue
    variable = cauchy_stress_yx
  []
  [mCS_yz]
    type = ElementAverageValue
    variable = cauchy_stress_yz
  []
  [mCS_zy]
    type = ElementAverageValue
    variable = cauchy_stress_zy
  []
  [mCS_zx]
    type = ElementAverageValue
    variable = cauchy_stress_zx
  []
[]

Input Parameters
Input Files