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

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

Inheritance diagram for MetaSpringBC::OpSpringALEMaterialLhs_dX_dX:

Collaboration diagram for MetaSpringBC::OpSpringALEMaterialLhs_dX_dX:

Public Member Functions
MoFEMErrorCode	doWork (int row_side, int col_side, EntityType row_type, EntityType col_type, EntData &row_data, EntData &col_data)

MoFEMErrorCode	iNtegrate (EntData &row_data, EntData &col_data)
	Compute part of the left-hand side. More...

	OpSpringALEMaterialLhs_dX_dX (const string field_name_1, const string field_name_2, boost::shared_ptr< DataAtIntegrationPtsSprings > data_at_spring_pts, boost::shared_ptr< VolumeElementForcesAndSourcesCoreOnSide > side_fe, std::string &side_fe_name)

Public Member Functions inherited from MetaSpringBC::OpSpringALEMaterialLhs
MoFEMErrorCode	aSsemble (EntData &row_data, EntData &col_data)

	OpSpringALEMaterialLhs (const string field_name_1, const string field_name_2, boost::shared_ptr< DataAtIntegrationPtsSprings > data_at_spring_pts, boost::shared_ptr< VolumeElementForcesAndSourcesCoreOnSide > side_fe, std::string &side_fe_name)

Public Member Functions inherited from MoFEM::FaceElementForcesAndSourcesCore::UserDataOperator
double	getArea ()
	get area of face More...

VectorDouble &	getNormal ()
	get triangle normal More...

VectorDouble &	getTangent1 ()
	get triangle tangent 1 More...

VectorDouble &	getTangent2 ()
	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...

int	getNumNodes ()
	get element number of nodes More...

const EntityHandle *	getConn ()
	get element connectivity More...

VectorDouble &	getCoords ()
	get triangle coordinates More...

auto	getFTensor1Coords ()
	get get coords at gauss points More...

MatrixDouble &	getNormalsAtGaussPts ()
	if higher order geometry return normals at Gauss pts. More...

ublas::matrix_row< MatrixDouble >	getNormalsAtGaussPts (const int gg)
	if higher order geometry return normals at Gauss pts. More...

MatrixDouble &	getTangent1AtGaussPts ()
	if higher order geometry return tangent vector to triangle at Gauss pts. More...

MatrixDouble &	getTangent2AtGaussPts ()
	if higher order geometry return tangent vector to triangle at Gauss pts. More...

auto	getFTensor1NormalsAtGaussPts ()
	get normal at integration points More...

auto	getFTensor1Tangent1AtGaussPts ()
	get tangent 1 at integration points More...

auto	getFTensor1Tangent2AtGaussPts ()
	get tangent 2 at integration points More...

FaceElementForcesAndSourcesCore *	getFaceFE ()
	return pointer to Generic Triangle Finite Element object More...

MoFEMErrorCode	loopSideVolumes (const string fe_name, VolumeElementForcesAndSourcesCoreOnSide &fe_method)

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 NumeredEntFiniteElement >	getNumeredEntFiniteElementPtr () 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< SideNumber >	getSideNumberPtr (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 FEMethod *	getFEMethod () 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...

ForcesAndSourcesCore *	getPtrFE () const

ForcesAndSourcesCore *	getSidePtrFE () const

ForcesAndSourcesCore *	getRefinePtrFE () const

const PetscData::Switches &	getDataCtx () 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

MatrixDouble &	getGaussPts ()
	matrix of integration (Gauss) points for Volume Element More...

auto	getFTensor0IntegrationWeight ()
	Get integration weights. More...

MatrixDouble &	getCoordsAtGaussPts ()
	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...

double &	getMeasure ()
	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	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::OpSpringALEMaterialLhs
boost::shared_ptr< DataAtIntegrationPtsSprings >	dataAtSpringPts

boost::shared_ptr< VolumeElementForcesAndSourcesCoreOnSide >	sideFe

std::string	sideFeName

MatrixDouble	NN

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...

bool &	doVertices
	\deprectaed If false skip vertices More...

bool &	doEdges
	\deprectaed If false skip edges More...

bool &	doQuads
	\deprectaed More...

bool &	doTris
	\deprectaed More...

bool &	doTets
	\deprectaed More...

bool &	doPrisms
	\deprectaed More...

Static Public Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
static const char *const	OpTypeNames []

Protected Attributes inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
ForcesAndSourcesCore *	ptrFE

Detailed Description

LHS-operator for the pressure element (material configuration)

Computes linearisation of the material component with respect to material coordinates (also triggers a loop over operators from the side volume).

Definition at line 544 of file SpringElement.hpp.

Constructor & Destructor Documentation

◆ OpSpringALEMaterialLhs_dX_dX()

MetaSpringBC::OpSpringALEMaterialLhs_dX_dX::OpSpringALEMaterialLhs_dX_dX	(	const string	field_name_1,
		const string	field_name_2,
		boost::shared_ptr< DataAtIntegrationPtsSprings >	data_at_spring_pts,
		boost::shared_ptr< VolumeElementForcesAndSourcesCoreOnSide >	side_fe,
		std::string &	side_fe_name
	)

inline

Definition at line 612 of file SpringElement.hpp.

         : OpSpringALEMaterialLhs(field_name_1, field_name_2, data_at_spring_pts,
                                  side_fe, side_fe_name) {
       sYmm = false; // This will make sure to loop over all entities
     };

Member Function Documentation

◆ doWork()

MoFEMErrorCode MetaSpringBC::OpSpringALEMaterialLhs_dX_dX::doWork	(	int	row_side,
		int	col_side,
		EntityType	row_type,
		EntityType	col_type,
		EntData &	row_data,
		EntData &	col_data
	)

virtual

Integrates a contribution to the left-hand side and triggers a loop over side volume operators.

Reimplemented from MetaSpringBC::OpSpringALEMaterialLhs.

Definition at line 576 of file SpringElement.cpp.

                                           {
  
   MoFEMFunctionBegin;
  
   row_nb_dofs = row_data.getIndices().size();
   if (!row_nb_dofs)
     MoFEMFunctionReturnHot(0);
   col_nb_dofs = col_data.getIndices().size();
   if (!col_nb_dofs)
     MoFEMFunctionReturnHot(0);
   nb_gauss_pts = row_data.getN().size1();
  
   nb_base_fun_row = row_data.getFieldData().size() / 3;
   nb_base_fun_col = col_data.getFieldData().size() / 3;
  
   NN.resize(3 * nb_base_fun_row, 3 * nb_base_fun_col, false);
   NN.clear();
  
   diagonal_block = (row_type == col_type) && (row_side == col_side);
  
   if (col_type == MBVERTEX) {
     dataAtSpringPts->faceRowData = &row_data;
     CHKERR loopSideVolumes(sideFeName, *sideFe);
   }
  
   // integrate local matrix for entity block
   CHKERR iNtegrate(row_data, col_data);
  
   // assemble local matrix
   CHKERR aSsemble(row_data, col_data);
  
   MoFEMFunctionReturn(0);
 }

◆ iNtegrate()

MoFEMErrorCode MetaSpringBC::OpSpringALEMaterialLhs_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 \((\Delta\mathbf{X})\):

\[ \textrm{D} f^{\textrm{(face)}}_s(\mathbf{x}, \mathbf{X}, \delta\mathbf{X}) [\Delta\mathbf{X}] = -\int\limits_{\mathcal{T}_{\xi}} \, 0.5 (k_{\rm n} - k_{\rm s}) \mathbf{F}^{\intercal}\cdot \left\{ \left[ \frac{\partial\mathbf{X}} {\partial\xi} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\eta}\times\delta\mathbf{X}\right) -\frac{\partial\mathbf{X}} {\partial\eta} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\xi}\times \delta\mathbf{X}\right)\right] \otimes \dfrac{\mathbf{N}}{\|\mathbf{N}\|} + \dfrac{\mathbf{N}}{\|\mathbf{N}\|} \otimes \left[ \frac{\partial\mathbf{X}} {\partial\xi} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\eta}\times\delta\mathbf{X}\right) -\frac{\partial\mathbf{X}} {\partial\eta} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\xi}\times \delta\mathbf{X}\right)\right] - \dfrac{\mathbf{N} \otimes \mathbf{N}}{{\| \mathbf{N} \|}^3} \left[ \frac{\partial\mathbf{X}} {\partial\xi} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\eta}\times\delta\mathbf{X}\right) -\frac{\partial\mathbf{X}} {\partial\eta} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\xi}\times \delta\mathbf{X}\right)\right] \mathbf{N} \right \} \textrm{d}\xi\textrm{d}\eta \\ +\int\limits_{\mathcal{T}_{\xi}} 0.5 k_{\rm s} {\mathbf{F}^{\intercal}} \left[ \frac{\partial\mathbf{X}} {\partial\xi} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\eta}\times\delta\mathbf{X}\right) -\frac{\partial\mathbf{X}} {\partial\eta} \cdot \left(\frac{\partial\Delta \mathbf{X}}{\partial\xi}\times \delta\mathbf{X}\right)\right] {\mathbf N}^{\intercal} \cdot {\mathbf I} ( {\mathbf x} - {\mathbf X} ) \textrm{d}\xi\textrm{d}\eta -\int\limits_{\mathcal{T}_{\xi}} {{\delta \mathbf{X}^T} \cdot {\mathbf{F}^{\intercal}} \left[ k_{\rm n} \left( {\mathbf N} \otimes {\mathbf N} \right) + k_{\rm t} \left( {\mathbf I} - {\mathbf N} \otimes {\mathbf N} \right) \right] \Delta {\mathbf X} } \textrm{d}\xi\textrm{d}\eta \]

Reimplemented from MetaSpringBC::OpSpringALEMaterialLhs.

Definition at line 613 of file SpringElement.cpp.

                                                                          {
  
   MoFEMFunctionBegin;
  
   FTensor::Index<'i', 3> i;
   FTensor::Index<'j', 3> j;
   FTensor::Index<'k', 3> k;
   FTensor::Index<'l', 3> l;
  
   auto get_tensor2 = [](MatrixDouble &m, const int r, const int c) {
     return FTensor::Tensor2<double *, 3, 3>(
         &m(r + 0, c + 0), &m(r + 0, c + 1), &m(r + 0, c + 2), &m(r + 1, c + 0),
         &m(r + 1, c + 1), &m(r + 1, c + 2), &m(r + 2, c + 0), &m(r + 2, c + 1),
         &m(r + 2, c + 2));
   };
  
   auto make_vec_der = [&](auto t_N, auto t_1, auto t_2) {
     FTensor::Tensor2<double, 3, 3> t_n;
     t_n(i, j) = 0;
     t_n(i, j) += FTensor::levi_civita(i, j, k) * t_2(k) * t_N(0);
     t_n(i, j) -= FTensor::levi_civita(i, j, k) * t_1(k) * t_N(1);
     return t_n;
   };
  
   auto make_vec_der_2 = [&](auto t_N, auto t_1, auto t_2) {
     FTensor::Tensor1<double, 3> t_normal;
     t_normal(i) = FTensor::levi_civita(i, j, k) * t_1(j) * t_2(k);
     const double normal_norm = std::sqrt(t_normal(i) * t_normal(i));
     FTensor::Tensor2<double, 3, 3> t_n;
     t_n(i, j) = 0;
     t_n(i, j) += FTensor::levi_civita(i, j, k) * t_2(k) * t_N(0);
     t_n(i, j) -= FTensor::levi_civita(i, j, k) * t_1(k) * t_N(1);
     FTensor::Tensor2<double, 3, 3> t_result;
     t_result(i, j) = 0;
     t_result(i, j) =
         t_n(i, j) / normal_norm - t_normal(i) * t_n(k, j) * t_normal(k) /
                                       (normal_norm * normal_norm * normal_norm);
     return t_result;
   };
  
   dataAtSpringPts->faceRowData = nullptr;
   CHKERR loopSideVolumes(sideFeName, *sideFe);
  
   auto t_F = getFTensor2FromMat<3, 3>(*dataAtSpringPts->FMat);
  
   auto t_w = getFTensor0IntegrationWeight();
   auto t_1 = getFTensor1FromMat<3>(dataAtSpringPts->tangent1);
   auto t_2 = getFTensor1FromMat<3>(dataAtSpringPts->tangent2);
  
   const double normal_stiffness = dataAtSpringPts->springStiffnessNormal;
   const double tangent_stiffness = dataAtSpringPts->springStiffnessTangent;
  
   // create a 3d vector to be used as the normal to the face with length equal
   // to the face area
   FTensor::Tensor1<double, 3> t_normal;
   FTensor::Tensor2<double, 3, 3> t_normal_projection;
   FTensor::Tensor2<double, 3, 3> t_tangent_projection;
  
   // Extract solution at Gauss points
   auto t_solution_at_gauss_point =
       getFTensor1FromMat<3>(*dataAtSpringPts->xAtPts);
   auto t_init_solution_at_gauss_point =
       getFTensor1FromMat<3>(*dataAtSpringPts->xInitAtPts);
   FTensor::Tensor1<double, 3> t_displacement_at_gauss_point;
  
   auto t_normal_1 = getFTensor1FromMat<3>(dataAtSpringPts->normalVector);
   constexpr auto t_kd = FTensor::Kronecker_Delta_symmetric<int>();
  
   for (int gg = 0; gg != nb_gauss_pts; ++gg) {
     t_normal(i) = t_normal_1(i);
  
     const double normal_length = std::sqrt(t_normal(k) * t_normal(k));
     t_normal(i) = t_normal(i) / normal_length;
     t_normal_projection(i, j) = t_normal(i) * t_normal(j);
     t_tangent_projection(i, j) = t_normal_projection(i, j);
     t_tangent_projection(0, 0) -= 1;
     t_tangent_projection(1, 1) -= 1;
     t_tangent_projection(2, 2) -= 1;
     // Calculate the displacement at the Gauss point
     t_displacement_at_gauss_point(i) =
         t_solution_at_gauss_point(i) - t_init_solution_at_gauss_point(i);
     double val = 0.5 * t_w;
  
     auto t_N = col_data.getFTensor1DiffN<2>(gg, 0);
     auto t_col_base_func = col_data.getFTensor0N(gg, 0);
     int bbc = 0;
     for (; bbc != nb_base_fun_col; ++bbc) {
  
       auto t_row_base_func = row_data.getFTensor0N(gg, 0);
  
       int bbr = 0;
       for (; bbr != nb_base_fun_row; ++bbr) {
  
         auto t_d_n = make_vec_der(t_N, t_1, t_2);
  
         auto t_assemble = get_tensor2(NN, 3 * bbr, 3 * bbc);
  
         auto t_d_n_2 = make_vec_der_2(t_N, t_1, t_2);
  
         t_assemble(i, j) += val * normal_length * t_col_base_func *
                             normal_stiffness * t_row_base_func * t_F(k, i) *
                             t_normal_projection(k, j);
  
         t_assemble(i, j) -= val * normal_length * t_col_base_func *
                             tangent_stiffness * t_row_base_func * t_F(k, i) *
                             t_tangent_projection(k, j);
  
         t_assemble(i, j) -=
             val * (normal_stiffness - tangent_stiffness) * t_row_base_func *
             t_F(l, i) *
             (t_d_n(l, j) * (t_normal(k) * t_displacement_at_gauss_point(k)) +
              normal_length * t_normal(l) *
                  (t_d_n_2(k, j) * t_displacement_at_gauss_point(k)));
         // constexpr auto t_kd = FTensor::Kronecker_Delta_symmetric<int>();
         t_assemble(i, j) -= val * (t_d_n(l, j) * t_normal(l)) *
                             tangent_stiffness * t_row_base_func * t_F(k, i) *
                             t_displacement_at_gauss_point(k);
  
         ++t_row_base_func;
       }
       ++t_N;
       ++t_col_base_func;
     }
     ++t_F;
     ++t_w;
     ++t_1;
     ++t_2;
     ++t_normal_1;
     ++t_solution_at_gauss_point;
     ++t_init_solution_at_gauss_point;
   }
  
   MoFEMFunctionReturn(0);
 }

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

users_modules/basic_finite_elements/src/SpringElement.hpp
users_modules/basic_finite_elements/src/impl/SpringElement.cpp