CartesianMortarMechanicalContact

This class is used to apply normal contact forces using lagrange multipliers

Overview

It applies mortar generalized forces from Lagrange multipliers defined in the global Cartesian frame of reference. This can be used for both frictional and frictionless contact.

Example Input File Syntax

In this example, we solve a cylinder-on-plane plane strain frictional problem with Cartesian Lagrange multipliers. Subdomain 10000 and 10001 are lower dimensional blocks (1D here) created from the 2 and 3 sidesets respectively, which are on both sides of the contact axis.

[Constraints<<<{"href": "../../syntax/Constraints/index.html"}>>>]
  [weighted_gap_lm]
    type = ComputeFrictionalForceCartesianLMMechanicalContact<<<{"description": "Computes mortar frictional forces.", "href": "ComputeFrictionalForceCartesianLMMechanicalContact.html"}>>>
    primary_boundary<<<{"description": "The name of the primary boundary sideset."}>>> = 2
    secondary_boundary<<<{"description": "The name of the secondary boundary sideset."}>>> = 3
    primary_subdomain<<<{"description": "The name of the primary subdomain."}>>> = 10000
    secondary_subdomain<<<{"description": "The name of the secondary subdomain."}>>> = 10001
    lm_x<<<{"description": "Mechanical contact Lagrange multiplier along the x Cartesian axis"}>>> = lm_x
    lm_y<<<{"description": "Mechanical contact Lagrange multiplier along the y Cartesian axis."}>>> = lm_y
    variable<<<{"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"}>>> = lm_x
    disp_x<<<{"description": "The x displacement variable"}>>> = disp_x
    disp_y<<<{"description": "The y displacement variable"}>>> = disp_y
    use_displaced_mesh<<<{"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."}>>> = true
    correct_edge_dropping<<<{"description": "Whether to enable correct edge dropping treatment for mortar constraints. When disabled any Lagrange Multiplier degree of freedom on a secondary element without full primary contributions will be set (strongly) to 0."}>>> = false
    mu<<<{"description": "The friction coefficient for the Coulomb friction law"}>>> = 0.4
    c_t<<<{"description": "Numerical parameter for tangential constraints"}>>> = 1.0e6
    c<<<{"description": "Parameter for balancing the size of the gap and contact pressure"}>>> = 1.0e6
  []
  [x]
    type = CartesianMortarMechanicalContact<<<{"description": "This class is used to apply normal contact forces using lagrange multipliers", "href": "CartesianMortarMechanicalContact.html"}>>>
    primary_boundary<<<{"description": "The name of the primary boundary sideset."}>>> = '2'
    secondary_boundary<<<{"description": "The name of the secondary boundary sideset."}>>> = '3'
    primary_subdomain<<<{"description": "The name of the primary subdomain."}>>> = '10000'
    secondary_subdomain<<<{"description": "The name of the secondary subdomain."}>>> = '10001'
    variable<<<{"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"}>>> = lm_x
    secondary_variable<<<{"description": "Primal variable on secondary surface."}>>> = disp_x
    component<<<{"description": "The force component constraint that this object is supplying"}>>> = x
    use_displaced_mesh<<<{"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."}>>> = true
    compute_lm_residuals<<<{"description": "Whether to compute Lagrange Multiplier residuals"}>>> = false
    correct_edge_dropping<<<{"description": "Whether to enable correct edge dropping treatment for mortar constraints. When disabled any Lagrange Multiplier degree of freedom on a secondary element without full primary contributions will be set (strongly) to 0."}>>> = false
  []
  [y]
    type = CartesianMortarMechanicalContact<<<{"description": "This class is used to apply normal contact forces using lagrange multipliers", "href": "CartesianMortarMechanicalContact.html"}>>>
    primary_boundary<<<{"description": "The name of the primary boundary sideset."}>>> = '2'
    secondary_boundary<<<{"description": "The name of the secondary boundary sideset."}>>> = '3'
    primary_subdomain<<<{"description": "The name of the primary subdomain."}>>> = '10000'
    secondary_subdomain<<<{"description": "The name of the secondary subdomain."}>>> = '10001'
    variable<<<{"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"}>>> = lm_y
    secondary_variable<<<{"description": "Primal variable on secondary surface."}>>> = disp_y
    component<<<{"description": "The force component constraint that this object is supplying"}>>> = y
    use_displaced_mesh<<<{"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."}>>> = true
    compute_lm_residuals<<<{"description": "Whether to compute Lagrange Multiplier residuals"}>>> = false
    correct_edge_dropping<<<{"description": "Whether to enable correct edge dropping treatment for mortar constraints. When disabled any Lagrange Multiplier degree of freedom on a secondary element without full primary contributions will be set (strongly) to 0."}>>> = false
  []
[]

Input Parameters

componentThe force component constraint that this object is supplying
C++ Type:MooseEnum
Options:x, y, z
Controllable:No
Description:The force component constraint that this object is supplying
primary_boundaryThe name of the primary boundary sideset.
C++ Type:BoundaryName
Controllable:No
Description:The name of the primary boundary sideset.
primary_subdomainThe name of the primary subdomain.
C++ Type:SubdomainName
Controllable:No
Description:The name of the primary subdomain.
secondary_boundaryThe name of the secondary boundary sideset.
C++ Type:BoundaryName
Controllable:No
Description:The name of the secondary boundary sideset.
secondary_subdomainThe name of the secondary subdomain.
C++ Type:SubdomainName
Controllable:No
Description:The name of the secondary subdomain.

Required Parameters

aux_lmAuxiliary Lagrange multiplier variable that is utilized together with the Petrov-Galerkin approach.
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Auxiliary Lagrange multiplier variable that is utilized together with the Petrov-Galerkin approach.
compute_lm_residualFalse
Default:False
C++ Type:bool
Controllable:No
compute_lm_residualsTrueWhether to compute Lagrange Multiplier residuals
Default:True
C++ Type:bool
Controllable:No
Description:Whether to compute Lagrange Multiplier residuals
compute_primal_residualsTrueWhether to compute residuals for the primal variable.
Default:True
C++ Type:bool
Controllable:No
Description:Whether to compute residuals for the primal variable.
correct_edge_droppingFalseWhether to enable correct edge dropping treatment for mortar constraints. When disabled any Lagrange Multiplier degree of freedom on a secondary element without full primary contributions will be set (strongly) to 0.
Default:False
C++ Type:bool
Controllable:No
Description:Whether to enable correct edge dropping treatment for mortar constraints. When disabled any Lagrange Multiplier degree of freedom on a secondary element without full primary contributions will be set (strongly) to 0.
debug_meshFalseWhether this constraint is going to enable mortar segment mesh debug information. An exodusfile will be generated if the user sets this flag to true
Default:False
C++ Type:bool
Controllable:No
Description:Whether this constraint is going to enable mortar segment mesh debug information. An exodusfile will be generated if the user sets this flag to true
derivative_threshold1e-17Threshold to discard automatic differentiation derivatives. This number is chosen on the order of the machine epsilon based on current experience.
Default:1e-17
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Threshold to discard automatic differentiation derivatives. This number is chosen on the order of the machine epsilon based on current experience.
ghost_higher_d_neighborsFalseWhether we should ghost higher-dimensional neighbors. This is necessary when we are doing second order mortar with finite volume primal variables, because in order for the method to be second order we must use cell gradients, which couples in the neighbor cells.
Default:False
C++ Type:bool
Controllable:No
Description:Whether we should ghost higher-dimensional neighbors. This is necessary when we are doing second order mortar with finite volume primal variables, because in order for the method to be second order we must use cell gradients, which couples in the neighbor cells.
ghost_point_neighborsFalseWhether we should ghost point neighbors of secondary face elements, and consequently also their mortar interface couples.
Default:False
C++ Type:bool
Controllable:No
Description:Whether we should ghost point neighbors of secondary face elements, and consequently also their mortar interface couples.
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
Controllable:No
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
matrix_onlyFalseWhether this object is only doing assembly to matrices (no vectors)
Default:False
C++ Type:bool
Controllable:No
Description:Whether this object is only doing assembly to matrices (no vectors)
minimum_projection_angle40Parameter to control which angle (in degrees) is admissible for the creation of mortar segments. If set to a value close to zero, very oblique projections are allowed, which can result in mortar segments solving physics not meaningfully, and overprojection of primary nodes onto the mortar segment mesh in extreme cases. This parameter is mostly intended for mortar mesh debugging purposes in two dimensions.
Default:40
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Parameter to control which angle (in degrees) is admissible for the creation of mortar segments. If set to a value close to zero, very oblique projections are allowed, which can result in mortar segments solving physics not meaningfully, and overprojection of primary nodes onto the mortar segment mesh in extreme cases. This parameter is mostly intended for mortar mesh debugging purposes in two dimensions.
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
Controllable:No
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
primary_variablePrimal variable on primary surface. If this parameter is not provided then the primary variable will be initialized to the secondary variable
C++ Type:VariableName
Unit:(no unit assumed)
Controllable:No
Description:Primal variable on primary surface. If this parameter is not provided then the primary variable will be initialized to the secondary variable
quadratureDEFAULTQuadrature rule to use on mortar segments. For 2D mortar DEFAULT is recommended. For 3D mortar, QUAD meshes are integrated using triangle mortar segments. While DEFAULT quadrature order is typically sufficiently accurate, exact integration of QUAD mortar faces requires SECOND order quadrature for FIRST variables and FOURTH order quadrature for SECOND order variables.
Default:DEFAULT
C++ Type:MooseEnum
Options:DEFAULT, FIRST, SECOND, THIRD, FOURTH
Controllable:No
Description:Quadrature rule to use on mortar segments. For 2D mortar DEFAULT is recommended. For 3D mortar, QUAD meshes are integrated using triangle mortar segments. While DEFAULT quadrature order is typically sufficiently accurate, exact integration of QUAD mortar faces requires SECOND order quadrature for FIRST variables and FOURTH order quadrature for SECOND order variables.
secondary_variablePrimal variable on secondary surface.
C++ Type:VariableName
Unit:(no unit assumed)
Controllable:No
Description:Primal variable on secondary surface.
use_petrov_galerkinFalseWhether to use the Petrov-Galerkin approach for the mortar-based constraints. If set to true, we use the standard basis as the test function and dual basis as the shape function for the interpolation of the Lagrange multiplier variable.
Default:False
C++ Type:bool
Controllable:No
Description:Whether to use the Petrov-Galerkin approach for the mortar-based constraints. If set to true, we use the standard basis as the test function and dual basis as the shape function for the interpolation of the Lagrange multiplier variable.
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
Unit:(no unit assumed)
Controllable:No
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

absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the matrices this Kernel should fill
extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the vectors this Kernel should fill
matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Options:nontime, system
Controllable:No
Description:The tag for the matrices this Kernel should fill
vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Options:nontime, time
Controllable:No
Description:The tag for the vectors this Kernel should fill

Contribution To Tagged Field Data 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.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Advanced Parameters

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

Material Property Retrieval Parameters

(moose/modules/contact/test/tests/mortar_cartesian_lms/cylinder_friction_cartesian.i)

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

[Mesh]
  [input_file]
    type = FileMeshGenerator
    file = hertz_cyl_coarser.e
  []
  [secondary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10001
    new_block_name = 'secondary_lower'
    sidesets = '3'
    input = input_file
  []
  [primary]
    type = LowerDBlockFromSidesetGenerator
    new_block_id = 10000
    sidesets = '2'
    new_block_name = 'primary_lower'
    input = secondary
  []
[]

[Problem]
  type = ReferenceResidualProblem
  extra_tag_vectors = 'ref'
  reference_vector = 'ref'
  converge_on = 'disp_x disp_y'
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [lm_x]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1.0e-5
  []
  [lm_y]
    block = 'secondary_lower'
    use_dual = true
    scaling = 1.0e-5
  []
[]

[AuxVariables]
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
  []
  [saved_x]
  []
  [saved_y]
  []
  [diag_saved_x]
  []
  [diag_saved_y]
  []
[]

[Functions]
  [disp_ramp_vert]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. -0.020 -0.020'
  []
  [disp_ramp_horz]
    type = PiecewiseLinear
    x = '0. 1. 3.5'
    y = '0. 0.0 0.015'
  []
[]

[Physics/SolidMechanics/QuasiStatic]
  [all]
    incremental = false
    save_in = 'saved_x saved_y'
    extra_vector_tags = 'ref'
    block = '1 2 3 4 5 6 7'
    strain = SMALL
    add_variables = false
  []
[]

[AuxKernels]
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    execute_on = timestep_end
    block = '1 2 3 4 5 6 7'
  []
[]

[Postprocessors]
  [bot_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 1
  []
  [bot_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 1
  []
  [top_react_x]
    type = NodalSum
    variable = saved_x
    boundary = 4
  []
  [top_react_y]
    type = NodalSum
    variable = saved_y
    boundary = 4
  []
  [_dt]
    type = TimestepSize
  []
[]

[BCs]
  [side_x]
    type = DirichletBC
    variable = disp_y
    boundary = '1 2'
    value = 0.0
  []
  [bot_y]
    type = DirichletBC
    variable = disp_x
    boundary = '1 2'
    value = 0.0
  []
  [top_y_disp]
    type = FunctionDirichletBC
    variable = disp_y
    boundary = 4
    function = disp_ramp_vert
  []
  [top_x_disp]
    type = FunctionDirichletBC
    variable = disp_x
    boundary = 4
    function = disp_ramp_horz
  []
[]

[Materials]
  [stuff1_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '1'
    youngs_modulus = 1e10
    poissons_ratio = 0.0
  []
  [stuff2_elas_tens]
    type = ComputeIsotropicElasticityTensor
    block = '2 3 4 5 6 7'
    youngs_modulus = 1e6
    poissons_ratio = 0.3
  []
  [stuff1_stress]
    type = ComputeLinearElasticStress
    block = '1'
  []
  [stuff2_stress]
    type = ComputeLinearElasticStress
    block = '2 3 4 5 6 7'
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'

  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'
  petsc_options_value = 'lu          NONZERO               1e-12'
  line_search = 'none'
  nl_abs_tol = 1e-7
  l_max_its = 5
  nl_rel_tol = 1e-09
  start_time = -0.1
  end_time = 0.3 # 3.5
  l_tol = 1e-8
  dt = 0.1
  dtmin = 0.001
[]

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

[VectorPostprocessors]
  [x_disp]
    type = NodalValueSampler
    variable = disp_x
    boundary = '3 4'
    sort_by = id
  []
  [y_disp]
    type = NodalValueSampler
    variable = disp_y
    boundary = '3 4'
    sort_by = id
  []
  [lm_x]
    type = NodalValueSampler
    variable = lm_x
    boundary = '3'
    sort_by = id
  []
  [lm_y]
    type = NodalValueSampler
    variable = lm_y
    boundary = '3'
    sort_by = id
  []
[]

[Outputs]
  print_linear_residuals = true
  perf_graph = true
  exodus = true
  csv = false
  [console]
    type = Console
    max_rows = 5
  []
  [chkfile]
    type = CSV
    show = 'x_disp y_disp lm_x lm_y'
    file_base = cylinder_friction_check
    create_final_symlink = true
    execute_on = 'FINAL'
  []
[]

[Constraints]
  [weighted_gap_lm]
    type = ComputeFrictionalForceCartesianLMMechanicalContact
    primary_boundary = 2
    secondary_boundary = 3
    primary_subdomain = 10000
    secondary_subdomain = 10001
    lm_x = lm_x
    lm_y = lm_y
    variable = lm_x
    disp_x = disp_x
    disp_y = disp_y
    use_displaced_mesh = true
    correct_edge_dropping = false
    mu = 0.4
    c_t = 1.0e6
    c = 1.0e6
  []
  [x]
    type = CartesianMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    variable = lm_x
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = false
  []
  [y]
    type = CartesianMortarMechanicalContact
    primary_boundary = '2'
    secondary_boundary = '3'
    primary_subdomain = '10000'
    secondary_subdomain = '10001'
    variable = lm_y
    secondary_variable = disp_y
    component = y
    use_displaced_mesh = true
    compute_lm_residuals = false
    correct_edge_dropping = false
  []

[]

Overview
Example Input File Syntax
Input Parameters

Usage

Development

Demonstration