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Public Member Functions | List of all members
MetaSpringBC::SpringALEMaterialVolOnSideLhs_dX_dX Struct Reference

LHS-operator (material configuration) on the side volume. More...

#include <users_modules/basic_finite_elements/src/SpringElement.hpp>

Inheritance diagram for MetaSpringBC::SpringALEMaterialVolOnSideLhs_dX_dX:
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Collaboration diagram for MetaSpringBC::SpringALEMaterialVolOnSideLhs_dX_dX:
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Public Member Functions

MoFEMErrorCode iNtegrate (EntData &row_data, EntData &col_data)
 Integrates over a face contribution from a side volume. More...
 
 SpringALEMaterialVolOnSideLhs_dX_dX (const string field_name_1, const string field_name_2, boost::shared_ptr< DataAtIntegrationPtsSprings > data_at_spring_pts)
 
- Public Member Functions inherited from MetaSpringBC::SpringALEMaterialVolOnSideLhs
MoFEMErrorCode doWork (int row_side, int col_side, EntityType row_type, EntityType col_type, EntData &row_data, EntData &col_data)
 Operator for bi-linear form, usually to calculate values on left hand side. More...
 
virtual MoFEMErrorCode iNtegrate (EntData &row_data, EntData &col_data)
 
MoFEMErrorCode aSsemble (EntData &row_data, EntData &col_data)
 
 SpringALEMaterialVolOnSideLhs (const string field_name_1, const string field_name_2, boost::shared_ptr< DataAtIntegrationPtsSprings > data_at_spring_pts)
 
- Public Member Functions inherited from MoFEM::VolumeElementForcesAndSourcesCoreOnSide::UserDataOperator
VolumeElementForcesAndSourcesCoreOnSidegetVolumeFE () const
 
FaceElementForcesAndSourcesCoregetFaceFE () const
 
DEPRECATED int getFaceSense () const
 get face sense in respect to volume More...
 
int getSkeletonSense () const
 Get the skeleton sense. More...
 
int getFaceSideNumber () const
 get face side number in respect to volume More...
 
bool getEdgeFace (const int ee) const
 
VectorDoublegetNormal ()
 
VectorDoublegetTangent1 ()
 get triangle tangent 1 More...
 
VectorDoublegetTangent2 ()
 get triangle tangent 2 More...
 
auto getFTensor1Normal ()
 get normal as tensor More...
 
auto getFTensor1Tangent1 ()
 get tangentOne as tensor More...
 
auto getFTensor1Tangent2 ()
 get tangentTwo as tensor More...
 
MatrixDoublegetNormalsAtGaussPts ()
 if higher order geometry return normals at Gauss pts. More...
 
ublas::matrix_row< MatrixDoublegetNormalsAtGaussPts (const int gg)
 if higher order geometry return normals at Gauss pts. More...
 
auto getFTensor1NormalsAtGaussPts ()
 get normal at integration points More...
 
MatrixDoublegetFaceCoordsAtGaussPts ()
 get face coordinates at Gauss pts. More...
 
- Public Member Functions inherited from MoFEM::VolumeElementForcesAndSourcesCore::UserDataOperator
int getNumNodes ()
 get element number of nodes More...
 
const EntityHandlegetConn ()
 get element connectivity More...
 
double getVolume () const
 element volume (linear geometry) More...
 
doublegetVolume ()
 element volume (linear geometry) More...
 
FTensor::Tensor2< double *, 3, 3 > & getJac ()
 get element Jacobian More...
 
FTensor::Tensor2< double *, 3, 3 > & getInvJac ()
 get element inverse Jacobian More...
 
VectorDoublegetCoords ()
 nodal coordinates More...
 
VolumeElementForcesAndSourcesCoregetVolumeFE () const
 return pointer to Generic Volume Finite Element object More...
 
- Public Member Functions inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
 UserDataOperator (const FieldSpace space, const char type=OPSPACE, const bool symm=true)
 
 UserDataOperator (const std::string field_name, const char type, const bool symm=true)
 
 UserDataOperator (const std::string row_field_name, const std::string col_field_name, const char type, const bool symm=true)
 
boost::shared_ptr< const NumeredEntFiniteElementgetNumeredEntFiniteElementPtr () const
 Return raw pointer to NumeredEntFiniteElement. More...
 
EntityHandle getFEEntityHandle () const
 Return finite element entity handle. More...
 
int getFEDim () const
 Get dimension of finite element. More...
 
EntityType getFEType () const
 Get dimension of finite element. More...
 
boost::weak_ptr< SideNumbergetSideNumberPtr (const int side_number, const EntityType type)
 Get the side number pointer. More...
 
EntityHandle getSideEntity (const int side_number, const EntityType type)
 Get the side entity. More...
 
int getNumberOfNodesOnElement () const
 Get the number of nodes on finite element. More...
 
MoFEMErrorCode getProblemRowIndices (const std::string filed_name, const EntityType type, const int side, VectorInt &indices) const
 Get row indices. More...
 
MoFEMErrorCode getProblemColIndices (const std::string filed_name, const EntityType type, const int side, VectorInt &indices) const
 Get col indices. More...
 
const FEMethodgetFEMethod () const
 Return raw pointer to Finite Element Method object. More...
 
int getOpType () const
 Get operator types. More...
 
void setOpType (const OpType type)
 Set operator type. More...
 
void addOpType (const OpType type)
 Add operator type. More...
 
int getNinTheLoop () const
 get number of finite element in the loop More...
 
int getLoopSize () const
 get size of elements in the loop More...
 
std::string getFEName () const
 Get name of the element. More...
 
ForcesAndSourcesCoregetPtrFE () const
 
ForcesAndSourcesCoregetSidePtrFE () const
 
ForcesAndSourcesCoregetRefinePtrFE () const
 
const PetscData::SwitchesgetDataCtx () const
 
const KspMethod::KSPContext getKSPCtx () const
 
const SnesMethod::SNESContext getSNESCtx () const
 
const TSMethod::TSContext getTSCtx () const
 
Vec getKSPf () const
 
Mat getKSPA () const
 
Mat getKSPB () const
 
Vec getSNESf () const
 
Vec getSNESx () const
 
Mat getSNESA () const
 
Mat getSNESB () const
 
Vec getTSu () const
 
Vec getTSu_t () const
 
Vec getTSu_tt () const
 
Vec getTSf () const
 
Mat getTSA () const
 
Mat getTSB () const
 
int getTSstep () const
 
double getTStime () const
 
double getTStimeStep () const
 
double getTSa () const
 
double getTSaa () const
 
MatrixDoublegetGaussPts ()
 matrix of integration (Gauss) points for Volume Element More...
 
auto getFTensor0IntegrationWeight ()
 Get integration weights. More...
 
MatrixDoublegetCoordsAtGaussPts ()
 Gauss points and weight, matrix (nb. of points x 3) More...
 
auto getFTensor1CoordsAtGaussPts ()
 Get coordinates at integration points assuming linear geometry. More...
 
double getMeasure () const
 get measure of element More...
 
doublegetMeasure ()
 get measure of element More...
 
MoFEMErrorCode loopSide (const string &fe_name, ForcesAndSourcesCore *side_fe, const size_t dim, const EntityHandle ent_for_side=0, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy, AdjCache *adj_cache=nullptr)
 User calls this function to loop over elements on the side of face. This function calls finite element with its operator to do calculations. More...
 
MoFEMErrorCode loopThis (const string &fe_name, ForcesAndSourcesCore *this_fe, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
 User calls this function to loop over the same element using a different set of integration points. This function calls finite element with its operator to do calculations. More...
 
MoFEMErrorCode loopParent (const string &fe_name, ForcesAndSourcesCore *parent_fe, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
 User calls this function to loop over parent elements. This function calls finite element with its operator to do calculations. More...
 
MoFEMErrorCode loopChildren (const string &fe_name, ForcesAndSourcesCore *child_fe, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
 User calls this function to loop over parent elements. This function calls finite element with its operator to do calculations. More...
 
- Public Member Functions inherited from MoFEM::DataOperator
 DataOperator (const bool symm=true)
 
virtual ~DataOperator ()=default
 
virtual MoFEMErrorCode doWork (int row_side, int col_side, EntityType row_type, EntityType col_type, EntitiesFieldData::EntData &row_data, EntitiesFieldData::EntData &col_data)
 Operator for bi-linear form, usually to calculate values on left hand side. More...
 
virtual MoFEMErrorCode opLhs (EntitiesFieldData &row_data, EntitiesFieldData &col_data)
 
virtual MoFEMErrorCode doWork (int side, EntityType type, EntitiesFieldData::EntData &data)
 Operator for linear form, usually to calculate values on right hand side. More...
 
virtual MoFEMErrorCode opRhs (EntitiesFieldData &data, const bool error_if_no_base=false)
 
bool getSymm () const
 Get if operator uses symmetry of DOFs or not. More...
 
void setSymm ()
 set if operator is executed taking in account symmetry More...
 
void unSetSymm ()
 unset if operator is executed for non symmetric problem More...
 

Additional Inherited Members

- Public Types inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
enum  OpType {
  OPROW = 1 << 0 , OPCOL = 1 << 1 , OPROWCOL = 1 << 2 , OPSPACE = 1 << 3 ,
  OPLAST = 1 << 3
}
 Controls loop over entities on element. More...
 
using AdjCache = std::map< EntityHandle, std::vector< boost::weak_ptr< NumeredEntFiniteElement > > >
 
- Public Types inherited from MoFEM::DataOperator
using DoWorkLhsHookFunType = boost::function< MoFEMErrorCode(DataOperator *op_ptr, int row_side, int col_side, EntityType row_type, EntityType col_type, EntitiesFieldData::EntData &row_data, EntitiesFieldData::EntData &col_data)>
 
using DoWorkRhsHookFunType = boost::function< MoFEMErrorCode(DataOperator *op_ptr, int side, EntityType type, EntitiesFieldData::EntData &data)>
 
- Public Attributes inherited from MetaSpringBC::SpringALEMaterialVolOnSideLhs
MatrixDouble NN
 
boost::shared_ptr< DataAtIntegrationPtsSpringsdataAtSpringPts
 
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
 
bool diagonal_block
 
- Public Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
char opType
 
std::string rowFieldName
 
std::string colFieldName
 
FieldSpace sPace
 
- Public Attributes inherited from MoFEM::DataOperator
DoWorkLhsHookFunType doWorkLhsHook
 
DoWorkRhsHookFunType doWorkRhsHook
 
bool sYmm
 If true assume that matrix is symmetric structure. More...
 
std::array< bool, MBMAXTYPE > doEntities
 If true operator is executed for entity. More...
 
booldoVertices
 \deprectaed If false skip vertices More...
 
booldoEdges
 \deprectaed If false skip edges More...
 
booldoQuads
 \deprectaed More...
 
booldoTris
 \deprectaed More...
 
booldoTets
 \deprectaed More...
 
booldoPrisms
 \deprectaed More...
 
- Static Public Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
static const char *const OpTypeNames []
 
- Protected Member Functions inherited from MoFEM::VolumeElementForcesAndSourcesCoreOnSide::UserDataOperator
MoFEMErrorCode setPtrFE (ForcesAndSourcesCore *ptr)
 
MoFEMErrorCode setPtrFE (ForcesAndSourcesCore *ptr)
 
virtual MoFEMErrorCode setPtrFE (ForcesAndSourcesCore *ptr)
 
- Protected Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
ForcesAndSourcesCoreptrFE
 

Detailed Description

LHS-operator (material configuration) on the side volume.

Computes the linearisation of the material component with respect to a variation of material coordinates on the side volume.

Definition at line 630 of file SpringElement.hpp.

Constructor & Destructor Documentation

◆ SpringALEMaterialVolOnSideLhs_dX_dX()

MetaSpringBC::SpringALEMaterialVolOnSideLhs_dX_dX::SpringALEMaterialVolOnSideLhs_dX_dX ( const string  field_name_1,
const string  field_name_2,
boost::shared_ptr< DataAtIntegrationPtsSprings data_at_spring_pts 
)
inline

Definition at line 666 of file SpringElement.hpp.

669 : SpringALEMaterialVolOnSideLhs(field_name_1, field_name_2,
670 data_at_spring_pts) {
671 sYmm = false; // This will make sure to loop over all entities
672 };
SpringALEMaterialVolOnSideLhs(const string field_name_1, const string field_name_2, boost::shared_ptr< DataAtIntegrationPtsSprings > data_at_spring_pts)
bool sYmm
If true assume that matrix is symmetric structure.

Member Function Documentation

◆ iNtegrate()

MoFEMErrorCode MetaSpringBC::SpringALEMaterialVolOnSideLhs_dX_dX::iNtegrate ( EntData row_data,
EntData col_data 
)
virtual

Integrates over a face contribution from a side volume.

Computes linearisation of the material component with respect to a variation of material coordinates:

\[ \textrm{D} f^\text{(side volume)}_s(\mathbf{x}, \mathbf{X}, \delta\mathbf{X}) [\Delta\mathbf{X}] = \int\limits_{\mathcal{T}_{\xi}} \left\{\left[ \mathbf{h}\,\mathbf{H}^{-1}\,\frac{\partial\Delta\mathbf{X}} {\partial\boldsymbol{\chi}}\,\mathbf{H}^{-1} \right]^{\intercal}\cdot \left[ k_{\rm n} \left( {\mathbf N} \otimes {\mathbf N} \right) + k_{\rm t} \left( {\mathbf I} - {\mathbf N} \otimes {\mathbf N} \right) \right] \left( {\mathbf x} - {\mathbf X} \right) \right\} \cdot \delta\mathbf{X}\, \textrm{d}\xi\textrm{d}\eta \]

where \( \delta \mathbf{X} \) is variation of material position, \( k_{\rm n} \) is the stiffness of the springs normal to the surface, \( k_{\rm t} \) is the stiffness of the springs tangential to the surface, \( {\mathbf N} \) is the normal to the surface vector based on material positions, \( {\mathbf x} \) is the vector of spatial positions or displacements of the surface with springs, \( {\mathbf X} \) is the vector of material positions, \(\mathbf{h}\) and \(\mathbf{H}\) are the gradients of the spatial and material maps, respectively, and \(\boldsymbol{\chi}\) are the reference coordinates.

Reimplemented from MetaSpringBC::SpringALEMaterialVolOnSideLhs.

Definition at line 749 of file SpringElement.cpp.

750 {
751
753
760
761 auto get_tensor2 = [](MatrixDouble &m, const int r, const int c) {
763 &m(r + 0, c + 0), &m(r + 0, c + 1), &m(r + 0, c + 2), &m(r + 1, c + 0),
764 &m(r + 1, c + 1), &m(r + 1, c + 2), &m(r + 2, c + 0), &m(r + 2, c + 1),
765 &m(r + 2, c + 2));
766 };
767
768 const double normal_stiffness = dataAtSpringPts->springStiffnessNormal;
769 const double tangent_stiffness = dataAtSpringPts->springStiffnessTangent;
770
771 // create a 3d vector to be used as the normal to the face with length equal
772 // to the face area
774 FTensor::Tensor2<double, 3, 3> t_normal_projection;
775 FTensor::Tensor2<double, 3, 3> t_tangent_projection;
776
777 // Extract solution at Gauss points
778 auto t_solution_at_gauss_point =
779 getFTensor1FromMat<3>(*dataAtSpringPts->xAtPts);
780 auto t_init_solution_at_gauss_point =
781 getFTensor1FromMat<3>(*dataAtSpringPts->xInitAtPts);
782 FTensor::Tensor1<double, 3> t_displacement_at_gauss_point;
783
784 auto t_normal_1 = getFTensor1FromMat<3>(dataAtSpringPts->normalVector);
785
786 auto t_w = getFTensor0IntegrationWeight();
787
788 auto t_h = getFTensor2FromMat<3, 3>(*dataAtSpringPts->hMat);
789 auto t_inv_H = getFTensor2FromMat<3, 3>(*dataAtSpringPts->invHMat);
790
792
793 for (int gg = 0; gg != nb_gauss_pts; ++gg) {
794 t_normal(i) = t_normal_1(i);
795
796 const double normal_length = std::sqrt(t_normal(k) * t_normal(k));
797 t_normal(i) = t_normal(i) / normal_length;
798 t_normal_projection(i, j) = t_normal(i) * t_normal(j);
799 t_tangent_projection(i, j) = t_normal_projection(i, j);
800 t_tangent_projection(0, 0) -= 1;
801 t_tangent_projection(1, 1) -= 1;
802 t_tangent_projection(2, 2) -= 1;
803 // Calculate the displacement at the Gauss point
804 t_displacement_at_gauss_point(i) =
805 t_solution_at_gauss_point(i) - t_init_solution_at_gauss_point(i);
806
807 double val = 0.5 * t_w * normal_length;
808
809 auto t_col_diff_base = col_data.getFTensor1DiffN<3>(gg, 0);
810
811 int bbc = 0;
812 for (; bbc != nb_base_fun_col; ++bbc) {
813
814 FTensor::Tensor0<double *> t_row_base(&row_data.getN()(gg, 0));
815
816 int bbr = 0;
817 for (; bbr != nb_base_fun_row; ++bbr) {
818
819 auto t_assemble = get_tensor2(NN, 3 * bbr, 3 * bbc);
820
821 t_assemble(i, j) +=
822 val * t_row_base * normal_stiffness * t_inv_H(l, j) *
823 t_col_diff_base(m) * t_inv_H(m, i) * t_h(k, l) *
824 (t_normal_projection(k, q) * t_displacement_at_gauss_point(q));
825
826 t_assemble(i, j) -=
827 val * t_row_base * tangent_stiffness * t_inv_H(l, j) *
828 t_col_diff_base(m) * t_inv_H(m, i) * t_h(k, l) *
829 (t_tangent_projection(k, q) * t_displacement_at_gauss_point(q));
830
831 ++t_row_base;
832 }
833 ++t_col_diff_base;
834 }
835 ++t_w;
836 ++t_h;
837 ++t_inv_H;
838 ++t_solution_at_gauss_point;
839 ++t_init_solution_at_gauss_point;
840 ++t_normal_1;
841 }
842
844}
#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< 'm', SPACE_DIM > m
FTensor::Index< 'i', SPACE_DIM > i
const double c
speed of light (cm/ns)
FTensor::Index< 'l', 3 > l
FTensor::Index< 'j', 3 > j
FTensor::Index< 'k', 3 > k
int r
Definition: sdf.py:8
boost::shared_ptr< DataAtIntegrationPtsSprings > dataAtSpringPts
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....
auto getFTensor0IntegrationWeight()
Get integration weights.

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