TangentialNodalLMMechanicalContact

Similar to the TangentialMortarLMMechanicalContact object except the constraints are enforced pointwise at nodes instead of in an integral way using the mortar method. Some numerical experiments suggest that the pointwise method of enforcing tangential contact constraints displays worse non-linear convergence than the mortar method.

Implements the KKT conditions for frictional Coulomb contact using an NCP function. Requires that either the relative tangential velocity is zero or the tangential stress is equal to the friction coefficient times the normal contact pressure.

Input Parameters

contact_pressureThe contact pressure. If using LM, this should be the normal lagrange multiplier
C++ Type:std::vector<VariableName>
Options:
Description:The contact pressure. If using LM, this should be the normal lagrange multiplier
disp_yThe y velocity
C++ Type:std::vector<VariableName>
Options:
Description:The y velocity
muThe friction coefficient for the Coulomb friction law
C++ Type:double
Options:
Description:The friction coefficient for the Coulomb friction law
variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Options:
Description:The name of the variable that this residual object operates on

Required Parameters

k_abs10The smoothing parameter for the function used to approximate std::abs. The approximating function is courtesy of https://math.stackexchange.com/a/1115033/408963
Default:10
C++ Type:double
Options:
Description:The smoothing parameter for the function used to approximate std::abs. The approximating function is courtesy of https://math.stackexchange.com/a/1115033/408963
ncp_function_typeminThe type of NCP function to use
Default:min
C++ Type:MooseEnum
Options:min, fb
Description:The type of NCP function to use
normal_smoothing_distanceDistance from edge in parametric coordinates over which to smooth contact normal
C++ Type:double
Options:
Description:Distance from edge in parametric coordinates over which to smooth contact normal
normal_smoothing_methodMethod to use to smooth normals (edge_based|nodal_normal_based)
C++ Type:std::string
Options:
Description:Method to use to smooth normals (edge_based|nodal_normal_based)
orderFIRSTThe finite element order used for projections
Default:FIRST
C++ Type:MooseEnum
Options:FIRST, SECOND, THIRD, FOURTH
Description:The finite element order used for projections
primaryThe boundary ID associated with the primary side
C++ Type:BoundaryName
Options:
Description:The boundary ID associated with the primary side
primary_variableThe variable on the primary side of the domain
C++ Type:std::vector<VariableName>
Options:
Description:The variable on the primary side of the domain
secondaryThe boundary ID associated with the secondary side
C++ Type:BoundaryName
Options:
Description:The boundary ID associated with the secondary side
tangential_toleranceTangential distance to extend edges of contact surfaces
C++ Type:double
Options:
Description:Tangential distance to extend edges of contact surfaces

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/contact/test/tests/bouncing-block-contact/frictional-nodal-min-lm-mortar-disp.i)

(modules/contact/test/tests/bouncing-block-contact/frictional-nodal-min-lm-mortar-disp.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
  [../]
  [./tangential_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]
  [normal_lm]
    type = NormalNodalLMMechanicalContact
    primary = 20
    secondary = 10
    variable = normal_lm
    primary_variable = disp_x
    disp_y = disp_y
    ncp_function_type = min
  []
  [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
  []
  [tangential_lm]
    type = TangentialNodalLMMechanicalContact
    primary = 20
    secondary = 10
    variable = tangential_lm
    primary_variable = disp_x
    disp_y = disp_y
    contact_pressure = normal_lm
    ncp_function_type = min
    mu = .1
  []
  [tangential_x]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = tangential_lm
    secondary_variable = disp_x
    component = x
    use_displaced_mesh = true
    compute_lm_residuals = false
  []
  [tangential_y]
    type = TangentialMortarMechanicalContact
    primary_boundary = 20
    secondary_boundary = 10
    primary_subdomain = 4
    secondary_subdomain = 3
    variable = tangential_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 -snes_ksp_ew'
  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]
    type = Exodus
    sync_times = '0 5 10 15 20 25 30 35 40 45 50'
    file_base = frictional-nodal-min-lm-mortar-disp_out
  []
  [dof]
    type = DOFMap
    execute_on = 'initial'
  []
[]

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

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

Input Parameters
Input Files

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