ApplyPenetrationConstraintLMMechanicalContact

The ApplyPenetrationConstraintLMMechanicalContact class is used to ensure that the Karush-Kuhn-Tucker conditions of mechanical contact are satisfied:

where is a weighted gap and is the contact pressure, a Lagrange multipler variable living on the secondary face. This object must always be used in conjunction with ComputeWeightedGapLMMechanicalContact which computes the weighted gap. The constraint enforcement with the weighted gap is variationally consistent as derived in (Wohlmuth, 2011). The KKT conditions are enforced using a nonlinear complimentarity problem (NCP) function, in this case the most simple such function, ), where (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.

Implements the KKT conditions for normal contact using an NCP function, in this case just the min function. This function enforces that either the gap distance or the normal contact pressure (represented by the value of variable) is zero.

Input Parameters

  • 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

  • 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

  • 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

References

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