ComputeWeightedGapLMMechanicalContact

The Karush-Kuhn-Tucker conditions of mechanical contact are:

$var element = document.getElementById("moose-equation-c40ea4ac-7168-4840-a2ed-17bb683efaba");katex.render("\\begin{aligned} g &\\ge 0\\\\ \\lambda &\\ge 0\\\\ g\\lambda &= 0 \\end{aligned}", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$

where $var element = document.getElementById("moose-equation-aee0857e-87a9-4d41-a63d-c2a4a65bc2df");katex.render("g", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the gap and $var element = document.getElementById("moose-equation-f8eadf15-68e2-4502-a4e9-ccbff630bf91");katex.render("\\lambda", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the contact pressure, a Lagrange multipler variable living on the secondary face. Per (Wohlmuth, 2011) and (Popp and Wall, 2014), the variationally consistent, discretized version of the KKT conditions are:

$var element = document.getElementById("moose-equation-f105b970-03f7-4865-ac68-8b063eb0fb83");katex.render("\\begin{aligned} (\\tilde{g}_n)_j &\\ge 0\\\\ (\\lambda_n)_j &\\ge 0\\\\ (\\tilde{g}_n)_j (\\lambda_n)_j &= 0 \\end{aligned}", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$

where $var element = document.getElementById("moose-equation-d152de22-a105-48d6-98ee-e890767d1533");katex.render("n", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ indicates the normal direction, $var element = document.getElementById("moose-equation-85678b0f-2a3a-4a5b-ad17-bb38214902b2");katex.render("j", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ denotes the j'th secondary contact interface node, and $var element = document.getElementById("moose-equation-87a23f75-06b1-43eb-aa84-cab177a51f91");katex.render("(\\tilde{g}_n)_j", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the discrete weighted gap, computed by:

$var element = document.getElementById("moose-equation-0e6510fc-fc95-4eae-bbf7-b621cda20da0");katex.render("(\\tilde{g}_n)_j = \\int_{\\gamma_c^{(1)}} \\Phi_j g_{n,h} dA", element, {displayMode:true,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$

where $var element = document.getElementById("moose-equation-ec960bba-663f-4040-ae95-93527386b5f7");katex.render("\\gamma_c^{(1)}", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ denotes the secondary contact interface, $var element = document.getElementById("moose-equation-e0df66b9-f7ed-4a42-8e15-36d7c7129915");katex.render("\\Phi_j", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the j'th lagrange multiplier test function, and $var element = document.getElementById("moose-equation-8b6a48cf-6b65-4733-9196-559bd2a60471");katex.render("g_{n,h}", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ is the discretized version of the gap function.

The ComputeWeightedGapLMMechanicalContact object computes the weighted gap and applies the KKT conditions. The KKT conditions are enforced using a nonlinear complimentarity problem (NCP) function, in this case the most simple such function, $var element = document.getElementById("moose-equation-31b406e6-f90b-4d03-abb5-e5e84cfc2a41");katex.render("min(c(\\tilde{g}_n)_j, (\\lambda_n)_j)", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ , where $var element = document.getElementById("moose-equation-2deee777-7d97-40c4-a938-b708e604687a");katex.render("c", element, {displayMode:false,throwOnError:false,macros:{"\\pf":"\\frac{\\partial #1}{\\partial #2}"}});$ (implemented with the input parameter c) is used to balance the size of the gap and the normal contact pressure. If the contact pressure is of order 10000, and the gap is of order .01, then c should be set to 1e6 in order to bring components of the NCP function onto the same level and achieve optimal convergence in the non-linear solve.

Computes the weighted gap that will later be used to enforce the zero-penetration mechanical contact conditions

Input Parameters

disp_xThe x displacement variable
C++ Type:std::vector<VariableName>
Options:
Description:The x displacement variable
disp_yThe y displacement variable
C++ Type:std::vector<VariableName>
Options:
Description:The y displacement variable
primary_boundaryThe name of the primary boundary sideset.
C++ Type:BoundaryName
Options:
Description:The name of the primary boundary sideset.
primary_subdomainThe name of the primary subdomain.
C++ Type:SubdomainName
Options:
Description:The name of the primary subdomain.
secondary_boundaryThe name of the secondary boundary sideset.
C++ Type:BoundaryName
Options:
Description:The name of the secondary boundary sideset.
secondary_subdomainThe name of the secondary subdomain.
C++ Type:SubdomainName
Options:
Description:The name of the secondary subdomain.

Required Parameters

c1e+06Parameter for balancing the size of the gap and contact pressure
Default:1e+06
C++ Type:double
Options:
Description:Parameter for balancing the size of the gap and contact pressure
compute_lm_residualsTrueWhether to compute Lagrange Multiplier residuals
Default:True
C++ Type:bool
Options:
Description:Whether to compute Lagrange Multiplier residuals
compute_primal_residualsTrueWhether to compute residuals for the primal variable.
Default:True
C++ Type:bool
Options:
Description:Whether to compute residuals for the primal variable.
interpolate_normalsTrueWhether to interpolate the nodal normals (e.g. classic idea of evaluating field at quadrature points). If this is set to false, then non-interpolated nodal normals will be used, and then the _normals member should be indexed with _i instead of _qp
Default:True
C++ Type:bool
Options:
Description:Whether to interpolate the nodal normals (e.g. classic idea of evaluating field at quadrature points). If this is set to false, then non-interpolated nodal normals will be used, and then the _normals member should be indexed with _i instead of _qp
periodicFalseWhether this constraint is going to be used to enforce a periodic condition. This has the effect of changing the normals vector for projection from outward to inward facing
Default:False
C++ Type:bool
Options:
Description:Whether this constraint is going to be used to enforce a periodic condition. This has the effect of changing the normals vector for projection from outward to inward facing
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
Options:
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.
variableThe name of the lagrange multiplier variable that this constraint is applied to. This parameter may not be supplied in the case of using penalty methods for example
C++ Type:NonlinearVariableName
Options:
Description:The name of the lagrange multiplier variable that this constraint is applied to. This parameter may not be supplied in the case of using penalty methods for example

Optional Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Options:
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Options:
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
Options:
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
Options:
Description:The seed for the master random number generator
use_displaced_meshTrueWhether 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:True
C++ Type:bool
Options:
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

extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Options:
Description:The extra tags for the matrices this Kernel should fill
extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector<TagName>
Options:
Description:The extra tags for the vectors this Kernel should fill
matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Options:nontime, system
Description:The tag for the matrices this Kernel should fill
vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Options:nontime, time
Description:The tag for the vectors this Kernel should fill

Tagging Parameters

Input Files

(modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d-rz/finite.i)
(modules/contact/test/tests/bouncing-block-contact/frictionless-weighted-gap.i)
(modules/contact/test/tests/bouncing-block-contact/frictionless-weighted-gap-mixed-basis.i)
(modules/combined/test/tests/gap_heat_transfer_mortar/small-2d-rz/small.i)
(modules/combined/test/tests/gap_heat_transfer_mortar/small-2d/small.i)
(modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d/finite.i)

Child Objects

(modules/contact/include/constraints/ComputeFrictionalForceLMMechanicalContact.h)

References

Alexander Popp and WA Wall. Dual mortar methods for computational contact mechanics–overview and recent developments. GAMM-Mitteilungen, 37(1):66–84, 2014.

@article{popp2014dual,
    author = "Popp, Alexander and Wall, WA",
    title = "Dual mortar methods for computational contact mechanics--overview and recent developments",
    journal = "GAMM-Mitteilungen",
    volume = "37",
    number = "1",
    pages = "66--84",
    year = "2014",
    publisher = "Wiley Online Library"
}

Barbara Wohlmuth. Variationally consistent discretization schemes and numerical algorithms for contact problems. Acta Numerica, 20:569–734, 2011.

@article{wohlmuth2011variationally,
    author = "Wohlmuth, Barbara",
    title = "Variationally consistent discretization schemes and numerical algorithms for contact problems",
    journal = "Acta Numerica",
    volume = "20",
    pages = "569--734",
    year = "2011"
}

(modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d-rz/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block_id = '1 2'
    new_block_name = 'plank block'
  []

  [secondary]
    input = block_rename
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'block_left'
    new_block_id = '30'
    new_block_name = 'frictionless_secondary_subdomain'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'plank_right'
    new_block_id = '20'
    new_block_name = 'frictionless_primary_subdomain'
  []
[]

[Problem]
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
  [thermal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    scaling = 1e-7
  []
  [frictionless_normal_lm]
    order = FIRST
    block = 'frictionless_secondary_subdomain'
    scaling = 1e3
    use_dual = true
  []
[]

[Modules/TensorMechanics/Master]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
    strain = FINITE
  []
[]

[Kernels]
  [hc]
    type = ADHeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
  [thermal_contact]
    type = GapConductanceConstraint
    variable = thermal_lm
    secondary_variable = temp
    k = 1
    use_displaced_mesh = true
    primary_boundary = plank_right
    primary_subdomain = frictionless_primary_subdomain
    secondary_boundary = block_left
    secondary_subdomain = frictionless_secondary_subdomain
    displacements = 'disp_x disp_y'
  []
[]

[BCs]
  [left_temp]
    type = DirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = DirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = ADHeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = ADHeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15                   20'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  exodus = true
  file_base = ${name}
  checkpoint = true
  [comp]
    type = CSV
    show = 'contact avg_temp'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/test/tests/bouncing-block-contact/frictionless-weighted-gap.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
[]

[Variables]
  [./disp_x]
    block = '1 2'
  [../]
  [./disp_y]
    block = '1 2'
  [../]
  [./normal_lm]
    block = 3
  [../]
[]

[ICs]
  [./disp_y]
    block = 2
    variable = disp_y
    value = ${fparse starting_point + offset}
    type = ConstantIC
  [../]
[]

[Kernels]
  [./disp_x]
    type = MatDiffusion
    variable = disp_x
  [../]
  [./disp_y]
    type = MatDiffusion
    variable = disp_y
  [../]
[]


[Constraints]
  [./weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    c = 1
  [../]
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
  [../]
  [./leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
  [../]
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 5
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor -snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
  snesmf_reuse_base = false
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

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

[Postprocessors]
  active = 'num_nl cumulative contact'
  [./num_nl]
    type = NumNonlinearIterations
  [../]
  [./cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  [../]
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
[]

(modules/contact/test/tests/bouncing-block-contact/frictionless-weighted-gap-mixed-basis.i)

starting_point = 2e-1
offset = 1e-2

[GlobalParams]
  displacements = 'disp_x disp_y'
  diffusivity = 1e0
  scaling = 1e0
[]

[Mesh]
  file = long-bottom-block-1elem-blocks.e
  second_order = true
  patch_update_strategy = always
[]

[Variables]
  [./disp_x]
    block = '1 2'
    order = SECOND
  [../]
  [./disp_y]
    block = '1 2'
    order = SECOND
  [../]
  [./normal_lm]
    block = 3
  [../]
[]

[ICs]
  [./disp_y]
    block = 2
    variable = disp_y
    value = ${fparse starting_point + offset}
    type = ConstantIC
  [../]
[]

[Kernels]
  [./disp_x]
    type = MatDiffusion
    variable = disp_x
  [../]
  [./disp_y]
    type = MatDiffusion
    variable = disp_y
  [../]
[]


[Constraints]
  [./weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    c = 1
  [../]
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
[]

[BCs]
  [./botx]
    type = DirichletBC
    variable = disp_x
    boundary = 40
    value = 0.0
    preset = false
  [../]
  [./boty]
    type = DirichletBC
    variable = disp_y
    boundary = 40
    value = 0.0
    preset = false
  [../]
  [./topy]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 30
    function = '${starting_point} * cos(2 * pi / 40 * t) + ${offset}'
    preset = false
  [../]
  [./leftx]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 50
    function = '1e-2 * t'
    preset = false
  [../]
[]

[Executioner]
  type = Transient
  end_time = 200
  dt = 5
  dtmin = .1
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason -pc_svd_monitor -snes_linesearch_monitor'
  petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -mat_mffd_err'
  petsc_options_value = 'lu       NONZERO               1e-15                   1e-5'
  l_max_its = 30
  nl_max_its = 20
  line_search = 'none'
  snesmf_reuse_base = false
  abort_on_solve_fail = true
[]

[Debug]
  show_var_residual_norms = true
[]

[Outputs]
  exodus = true
[]

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

[Postprocessors]
  active = 'num_nl cumulative contact'
  [./num_nl]
    type = NumNonlinearIterations
  [../]
  [./cumulative]
    type = CumulativeValuePostprocessor
    postprocessor = num_nl
  [../]
  [contact]
    type = ContactDOFSetSize
    variable = normal_lm
    subdomain = '3'
    execute_on = 'nonlinear timestep_end'
  []
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/small-2d-rz/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'small'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0
    xmax = 0.6
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.61
    xmax = 1.21
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block_id = '1 2'
    new_block_name = 'plank block'
  []

  [secondary]
    input = block_rename
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'block_left'
    new_block_id = '30'
    new_block_name = 'frictionless_secondary_subdomain'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'plank_right'
    new_block_id = '20'
    new_block_name = 'frictionless_primary_subdomain'
  []
[]

[Problem]
  coord_type = RZ
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
  [thermal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    scaling = 1e-7
  []
  [frictionless_normal_lm]
    order = FIRST
    block = 'frictionless_secondary_subdomain'
    scaling = 1e3
    use_dual = true
  []
[]

[Modules/TensorMechanics/Master]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
  []
[]

[Kernels]
  [hc]
    type = ADHeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
  [thermal_contact]
    type = GapConductanceConstraint
    variable = thermal_lm
    secondary_variable = temp
    k = 1
    use_displaced_mesh = true
    primary_boundary = plank_right
    primary_subdomain = frictionless_primary_subdomain
    secondary_boundary = block_left
    secondary_subdomain = frictionless_secondary_subdomain
    displacements = 'disp_x disp_y'
  []
[]

[BCs]
  [left_temp]
    type = DirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = DirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeLinearElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = ADHeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = ADHeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15                   20'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  exodus = true
  file_base = ${name}
  checkpoint = true
  [comp]
    type = CSV
    show = 'contact avg_temp'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/small-2d/small.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'small'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block_id = '1 2'
    new_block_name = 'plank block'
  []

  [secondary]
    input = block_rename
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'block_left'
    new_block_id = '30'
    new_block_name = 'frictionless_secondary_subdomain'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'plank_right'
    new_block_id = '20'
    new_block_name = 'frictionless_primary_subdomain'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
  [thermal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    scaling = 1e-7
  []
  [frictionless_normal_lm]
    order = FIRST
    block = 'frictionless_secondary_subdomain'
    scaling = 1e3
    use_dual = true
  []
[]

[Modules/TensorMechanics/Master]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
  []
[]

[Kernels]
  [hc]
    type = ADHeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
  [thermal_contact]
    type = GapConductanceConstraint
    variable = thermal_lm
    secondary_variable = temp
    k = 1
    use_displaced_mesh = true
    primary_boundary = plank_right
    primary_subdomain = frictionless_primary_subdomain
    secondary_boundary = block_left
    secondary_subdomain = frictionless_secondary_subdomain
    displacements = 'disp_x disp_y'
  []
[]

[BCs]
  [left_temp]
    type = DirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = DirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeLinearElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = ADHeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = ADHeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15                   20'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  exodus = true
  file_base = ${name}
  checkpoint = true
  [comp]
    type = CSV
    show = 'contact avg_temp'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d/finite.i)

E_block = 1e7
E_plank = 1e7
elem = QUAD4
order = FIRST
name = 'finite'

[Mesh]
  patch_size = 80
  patch_update_strategy = auto
  [plank]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = -0.3
    xmax = 0.3
    ymin = -10
    ymax = 10
    nx = 2
    ny = 67
    elem_type = ${elem}
    boundary_name_prefix = plank
  []
  [plank_id]
    type = SubdomainIDGenerator
    input = plank
    subdomain_id = 1
  []

  [block]
    type = GeneratedMeshGenerator
    dim = 2
    xmin = 0.31
    xmax = 0.91
    ymin = 7.7
    ymax = 8.5
    nx = 3
    ny = 4
    elem_type = ${elem}
    boundary_name_prefix = block
    boundary_id_offset = 10
  []
  [block_id]
    type = SubdomainIDGenerator
    input = block
    subdomain_id = 2
  []

  [combined]
    type = MeshCollectionGenerator
    inputs = 'plank_id block_id'
  []
  [block_rename]
    type = RenameBlockGenerator
    input = combined
    old_block_id = '1 2'
    new_block_name = 'plank block'
  []

  [secondary]
    input = block_rename
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'block_left'
    new_block_id = '30'
    new_block_name = 'frictionless_secondary_subdomain'
  []
  [primary]
    input = secondary
    type = LowerDBlockFromSidesetGenerator
    sidesets = 'plank_right'
    new_block_id = '20'
    new_block_name = 'frictionless_primary_subdomain'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [disp_y]
    order = ${order}
    block = 'plank block'
    scaling = ${fparse 2.0 / (E_plank + E_block)}
  []
  [temp]
    order = ${order}
    block = 'plank block'
    scaling = 1e-1
  []
  [thermal_lm]
    order = ${order}
    block = 'frictionless_secondary_subdomain'
    scaling = 1e-7
  []
  [frictionless_normal_lm]
    order = FIRST
    block = 'frictionless_secondary_subdomain'
    scaling = 1e3
    use_dual = true
  []
[]

[Modules/TensorMechanics/Master]
  [action]
    generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress strain_xx strain_yy strain_zz'
    block = 'plank block'
    use_automatic_differentiation = true
    strain = FINITE
  []
[]

[Kernels]
  [hc]
    type = ADHeatConduction
    variable = temp
    use_displaced_mesh = true
    block = 'plank block'
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeWeightedGapLMMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
  []
  [normal_x]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
  [normal_y]
    type = NormalMortarMechanicalContact
    primary_boundary = plank_right
    secondary_boundary = block_left
    primary_subdomain = frictionless_primary_subdomain
    secondary_subdomain = frictionless_secondary_subdomain
    variable = frictionless_normal_lm
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
  [thermal_contact]
    type = GapConductanceConstraint
    variable = thermal_lm
    secondary_variable = temp
    k = 1
    use_displaced_mesh = true
    primary_boundary = plank_right
    primary_subdomain = frictionless_primary_subdomain
    secondary_boundary = block_left
    secondary_subdomain = frictionless_secondary_subdomain
    displacements = 'disp_x disp_y'
  []
[]

[BCs]
  [left_temp]
    type = DirichletBC
    variable = temp
    boundary = 'plank_left'
    value = 400
  []

  [right_temp]
    type = DirichletBC
    variable = temp
    boundary = 'block_right'
    value = 300
  []

  [left_x]
    type = DirichletBC
    variable = disp_x
    boundary = plank_left
    value = 0.0
  []
  [left_y]
    type = DirichletBC
    variable = disp_y
    boundary = plank_bottom
    value = 0.0
  []
  [right_x]
    type = ADFunctionDirichletBC
    variable = disp_x
    boundary = block_right
    function = '-0.04*sin(4*(t+1.5))+0.02'
    preset = false
  []
  [right_y]
    type = ADFunctionDirichletBC
    variable = disp_y
    boundary = block_right
    function = '-t'
    preset = false
  []
[]

[Materials]
  [plank]
    type = ADComputeIsotropicElasticityTensor
    block = 'plank'
    poissons_ratio = 0.3
    youngs_modulus = ${E_plank}
  []
  [block]
    type = ADComputeIsotropicElasticityTensor
    block = 'block'
    poissons_ratio = 0.3
    youngs_modulus = ${E_block}
  []
  [stress]
    type = ADComputeFiniteStrainElasticStress
    block = 'plank block'
  []

  [heat_plank]
    type = ADHeatConductionMaterial
    block = plank
    thermal_conductivity = 2
    specific_heat = 1
  []
  [heat_block]
    type = ADHeatConductionMaterial
    block = block
    thermal_conductivity = 1
    specific_heat = 1
  []
[]

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

[Executioner]
  type = Transient
  solve_type = 'PJFNK'
  petsc_options = '-snes_converged_reason -ksp_converged_reason'
  petsc_options_iname = '-pc_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -snes_max_it'
  petsc_options_value = 'lu       1e-5          NONZERO               1e-15                   20'
  end_time = 13.5
  dt = 0.1
  dtmin = 0.1
  timestep_tolerance = 1e-6
  line_search = 'none'
[]

[Postprocessors]
  [nl_its]
    type = NumNonlinearIterations
  []
  [total_nl_its]
    type = CumulativeValuePostprocessor
    postprocessor = nl_its
  []
  [l_its]
    type = NumLinearIterations
  []
  [total_l_its]
    type = CumulativeValuePostprocessor
    postprocessor = l_its
  []
  [contact]
    type = ContactDOFSetSize
    variable = frictionless_normal_lm
    subdomain = frictionless_secondary_subdomain
  []
  [avg_hydro]
    type = ElementAverageValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [avg_temp]
    type = ElementAverageValue
    variable = temp
    block = 'block'
  []
  [max_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
  []
  [min_hydro]
    type = ElementExtremeValue
    variable = hydrostatic_stress
    block = 'block'
    value_type = min
  []
  [avg_vonmises]
    type = ElementAverageValue
    variable = vonmises_stress
    block = 'block'
  []
  [max_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
  []
  [min_vonmises]
    type = ElementExtremeValue
    variable = vonmises_stress
    block = 'block'
    value_type = min
  []
[]

[Outputs]
  exodus = true
  file_base = ${name}
  checkpoint = true
  [comp]
    type = CSV
    show = 'contact avg_temp'
  []
  [out]
    type = CSV
    file_base = '${name}_out'
  []
  [dof]
    type = DOFMap
    execute_on = 'initial'
  []
[]

[Debug]
  show_var_residual_norms = true
[]

(modules/contact/include/constraints/ComputeFrictionalForceLMMechanicalContact.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 "ComputeWeightedGapLMMechanicalContact.h"

/**
 * Computes frictional constraints (and normal contact constraints by calling its parent object)
 */
class ComputeFrictionalForceLMMechanicalContact : public ComputeWeightedGapLMMechanicalContact
{
public:
  static InputParameters validParams();

  ComputeFrictionalForceLMMechanicalContact(const InputParameters & parameters);
  void residualSetup() override;
  void jacobianSetup() override;
  void post() override;

protected:
  /**
   * Computes properties that are functions only of the current quadrature point (\p _qp), e.g.
   * indepedent of shape functions
   */
  virtual void computeQpProperties() override;

  /**
   * Computes properties that are functions both of \p _qp and \p _i, for example the weighted gap
   */
  virtual void computeQpIProperties() override;

  /**
   * Method called from \p post(). Used to enforce node-associated constraints. E.g. for the base \p
   * ComputeFrictionalForceLMMechanicalContact we enforce PDASS frictional constraints. This is also
   * where we actually feed the node-based constraint information into the system residual and
   * Jacobian
   */
  virtual void enforceConstraintOnNode(const Node * node) override;

  /// A map from node to weighted gap
  std::unordered_map<const Node *, ADReal> _node_to_weighted_tangential_velocity;

  /// A pointer member that can be used to help avoid copying ADReals
  const ADReal * _tangential_vel_ptr = nullptr;

  /// The value of the tangential velocity at the current quadrature point
  ADReal _qp_tangential_velocity;

  /// Numerical factor used in the tangential constraints for convergence purposes
  const Real _c_t;

  /// Frictional Lagrange's multiplier variable pointer
  MooseVariable * _friction_var;

  /// x-velocity on the secondary face
  const ADVariableValue & _secondary_x_dot;

  /// x-velocity on the primary face
  const ADVariableValue & _primary_x_dot;

  /// y-velocity on the secondary face
  const ADVariableValue & _secondary_y_dot;

  /// y-velocity on the primary face
  const ADVariableValue & _primary_y_dot;

  /// Small contact pressure value to trigger computation of frictional forces
  const Real _epsilon;

  /// Friction coefficient
  const Real _mu;
};

Input Parameters
Input Files
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References

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