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SimpleContactProblem::OpContactMaterialMasterOnFaceLhs_dX_dX Struct Reference

LHS-operator for the contact element (material configuration) More...

#include <users_modules/mortar_contact/src/SimpleContact.hpp>

Inheritance diagram for SimpleContactProblem::OpContactMaterialMasterOnFaceLhs_dX_dX:
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Collaboration diagram for SimpleContactProblem::OpContactMaterialMasterOnFaceLhs_dX_dX:
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Public Member Functions

MoFEMErrorCode iNtegrate (EntData &row_data, EntData &col_data)
 Compute part of the left-hand side. More...
 
 OpContactMaterialMasterOnFaceLhs_dX_dX (const string mesh_nodes_field_row, const string mesh_nodes_field_col, boost::shared_ptr< CommonDataSimpleContact > common_data_contact, const int row_rank, const int col_rank)
 
- Public Member Functions inherited from SimpleContactProblem::OpContactMaterialLhs
MoFEMErrorCode doWork (int row_side, int col_side, EntityType row_type, EntityType col_type, EntData &row_data, EntData &col_data)
 
virtual MoFEMErrorCode iNtegrate (EntData &row_data, EntData &col_data)
 
MoFEMErrorCode aSsemble (EntData &row_data, EntData &col_data)
 
 OpContactMaterialLhs (const string field_name_1, const string field_name_2, boost::shared_ptr< CommonDataSimpleContact > common_data_contact, const ContactOp::FaceType face_type, const int rank_row, const int rank_col, boost::shared_ptr< VolumeElementForcesAndSourcesCoreOnContactPrismSide > side_fe=NULL, const string side_fe_name="")
 

Additional Inherited Members

- Public Attributes inherited from SimpleContactProblem::OpContactMaterialLhs
boost::shared_ptr< CommonDataSimpleContactcommonDataSimpleContact
 
boost::shared_ptr< VolumeElementForcesAndSourcesCoreOnContactPrismSide > sideFe
 
string sideFeName
 
MatrixDouble matLhs
 
VectorInt rowIndices
 
VectorInt colIndices
 
int row_nb_dofs
 
int col_nb_dofs
 
int nb_gauss_pts
 
int nb_base_fun_row
 
int nb_base_fun_col
 
int rankRow
 
int rankCol
 

Detailed Description

LHS-operator for the contact element (material configuration)

Computes linearisation of normal vector from the expression for material traction contribution with respect to material coordinates on master side.

Definition at line 2739 of file SimpleContact.hpp.

Constructor & Destructor Documentation

◆ OpContactMaterialMasterOnFaceLhs_dX_dX()

SimpleContactProblem::OpContactMaterialMasterOnFaceLhs_dX_dX::OpContactMaterialMasterOnFaceLhs_dX_dX ( const string  mesh_nodes_field_row,
const string  mesh_nodes_field_col,
boost::shared_ptr< CommonDataSimpleContact common_data_contact,
const int  row_rank,
const int  col_rank 
)
inline
Parameters
mesh_nodes_field_rowString of field name for material positions for rows
mesh_nodes_field_colString of field name for material positions for columns
common_data_contactPointer to the common data for simple contact element
row_rankParameter setting the dimension of the associated field for rows (in this case is 3)
col_rankParameter setting the dimension of the associated field for cols (in this case is 3)

Definition at line 2782 of file SimpleContact.hpp.

2786 : OpContactMaterialLhs(mesh_nodes_field_row, mesh_nodes_field_col,
2787 common_data_contact, ContactOp::FACEMASTERMASTER,
2788 row_rank, col_rank) {
2789 sYmm = false; // This will make sure to loop over all intities (e.g.
2790 // for order=2 it will make doWork to loop 16 time)
2791 }
OpContactMaterialLhs(const string field_name_1, const string field_name_2, boost::shared_ptr< CommonDataSimpleContact > common_data_contact, const ContactOp::FaceType face_type, const int rank_row, const int rank_col, boost::shared_ptr< VolumeElementForcesAndSourcesCoreOnContactPrismSide > side_fe=NULL, const string side_fe_name="")

Member Function Documentation

◆ iNtegrate()

MoFEMErrorCode SimpleContactProblem::OpContactMaterialMasterOnFaceLhs_dX_dX::iNtegrate ( EntData row_data,
EntData col_data 
)
virtual

Compute part of the left-hand side.

Computes the linearisation of the material component with respect to a variation of material coordinates \((\Delta{\mathbf{X}}^{(2)})\):

\[ \textrm{D} \delta W^\text{(2)}_{\rm{material}}({\mathbf{x}}^{(2)}, {\mathbf{X}}^{(2)}, \delta{\mathbf{x}}^{(2)}) [\Delta{\mathbf{X}}^{(2)}] = -\int\limits_{\mathcal{T}^{(2)}_{\xi}} \lambda \, \mathbf{F}^{\intercal}\cdot \left[ \frac{\partial{\mathbf{X}}^{(2)}} {\partial\xi} \cdot \left(\frac{\partial\Delta {\mathbf{X}}^{(2)}}{\partial\eta}\times\delta{\mathbf{x}}^{(2)}\right) -\frac{\partial{\mathbf{X}}^{(2)}} {\partial\eta} \cdot \left(\frac{\partial\Delta {\mathbf{X}}^{(2)}}{\partial\xi}\times \delta{\mathbf{x}}^{(2)}\right)\right] \textrm{d}\xi\textrm{d}\eta \]

Here superscript \((2)\) denotes master side coordinates and surfaces. Moreover, \(\lambda\) is the lagrange multiplier.

Reimplemented from SimpleContactProblem::OpContactMaterialLhs.

Definition at line 4105 of file SimpleContact.cpp.

4106 {
4107
4109
4113
4114 auto get_tensor2 = [](MatrixDouble &m, const int r, const int c) {
4116 &m(r + 0, c + 0), &m(r + 0, c + 1), &m(r + 0, c + 2), &m(r + 1, c + 0),
4117 &m(r + 1, c + 1), &m(r + 1, c + 2), &m(r + 2, c + 0), &m(r + 2, c + 1),
4118 &m(r + 2, c + 2));
4119 };
4120
4121 auto get_tensor_vec = [](VectorDouble &n) {
4122 return FTensor::Tensor1<double *, 3>(&n(0), &n(1), &n(2));
4123 };
4124
4125 auto make_vec_der = [&](auto t_N, auto t_1, auto t_2) {
4127 t_n(i, j) = 0;
4128 t_n(i, j) += FTensor::levi_civita(i, j, k) * t_2(k) * t_N(0);
4129 t_n(i, j) -= FTensor::levi_civita(i, j, k) * t_1(k) * t_N(1);
4130 return t_n;
4131 };
4132
4133 auto t_F = getFTensor2FromMat<3, 3>(*commonDataSimpleContact->FMat);
4134
4135 auto t_w = getFTensor0IntegrationWeightMaster();
4136 auto lagrange_slave =
4137 getFTensor0FromVec(*commonDataSimpleContact->lagMultAtGaussPtsPtr);
4138 auto t_1 =
4139 get_tensor_vec(*commonDataSimpleContact->tangentOneVectorMasterPtr);
4140 auto t_2 =
4141 get_tensor_vec(*commonDataSimpleContact->tangentTwoVectorMasterPtr);
4142 for (int gg = 0; gg != nb_gauss_pts; ++gg) {
4143
4144 auto t_N = col_data.getFTensor1DiffN<2>(gg, 0);
4145 const double val = 0.5 * t_w * lagrange_slave;
4146
4147 int bbc = 0;
4148 for (; bbc != nb_base_fun_col; ++bbc) {
4149
4150 FTensor::Tensor0<double *> t_base(&row_data.getN()(gg, 0));
4151
4152 int bbr = 0;
4153 for (; bbr != nb_base_fun_row; ++bbr) {
4154
4155 auto t_assemble = get_tensor2(matLhs, 3 * bbr, 3 * bbc);
4156 // TODO: handle hoGeometry
4157 auto t_d_n = make_vec_der(t_N, t_1, t_2);
4158 t_assemble(i, k) -= val * t_base * t_F(j, i) * t_d_n(j, k);
4159
4160 ++t_base;
4161 }
4162 ++t_N;
4163 }
4164 ++t_F;
4165 ++t_w;
4166 ++lagrange_slave;
4167 }
4168
4170}
#define MoFEMFunctionBegin
First executable line of each MoFEM function, used for error handling. Final line of MoFEM functions ...
Definition: definitions.h:346
#define MoFEMFunctionReturn(a)
Last executable line of each PETSc function used for error handling. Replaces return()
Definition: definitions.h:416
FTensor::Index< 'n', SPACE_DIM > n
FTensor::Index< 'm', SPACE_DIM > m
FTensor::Index< 'i', SPACE_DIM > i
const double c
speed of light (cm/ns)
FTensor::Index< 'j', 3 > j
FTensor::Index< 'k', 3 > k
constexpr std::enable_if<(Dim0<=2 &&Dim1<=2), Tensor2_Expr< Levi_Civita< T >, T, Dim0, Dim1, i, j > >::type levi_civita(const Index< i, Dim0 > &, const Index< j, Dim1 > &)
levi_civita functions to make for easy adhoc use
static auto getFTensor0FromVec(ublas::vector< T, A > &data)
Get tensor rank 0 (scalar) form data vector.
Definition: Templates.hpp:135
int r
Definition: sdf.py:8
FTensor::Tensor1< FTensor::PackPtr< double *, Tensor_Dim >, Tensor_Dim > getFTensor1DiffN(const FieldApproximationBase base)
Get derivatives of base functions.
MatrixDouble & getN(const FieldApproximationBase base)
get base functions this return matrix (nb. of rows is equal to nb. of Gauss pts, nb....
boost::shared_ptr< CommonDataSimpleContact > commonDataSimpleContact

The documentation for this struct was generated from the following files: