#include "users_modules/basic_finite_elements/src/SpringElement.hpp"

Inheritance diagram for MetaSpringBC::OpSpringKs_dX:

Collaboration diagram for MetaSpringBC::OpSpringKs_dX:

Public Member Functions
MoFEMErrorCode	doWork (int row_side, int col_side, EntityType row_type, EntityType col_type, EntData &row_data, EntData &col_data)
	Compute part of the left-hand side.

	OpSpringKs_dX (boost::shared_ptr< MetaSpringBC::DataAtIntegrationPtsSprings > &common_data_ptr, MetaSpringBC::BlockOptionDataSprings &data, const std::string field_name_1, const std::string field_name_2)

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

VectorDouble &	getNormal ()
	get triangle normal

VectorDouble &	getTangent1 ()
	get triangle tangent 1

VectorDouble &	getTangent2 ()
	get triangle tangent 2

auto	getFTensor1Normal ()
	get normal as tensor

auto	getFTensor1Tangent1 ()
	get tangentOne as tensor

auto	getFTensor1Tangent2 ()
	get tangentTwo as tensor

int	getNumNodes ()
	get element number of nodes

const EntityHandle *	getConn ()
	get element connectivity

VectorDouble &	getCoords ()
	get triangle coordinates

auto	getFTensor1Coords ()
	get get coords at gauss points

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

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

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

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

auto	getFTensor1NormalsAtGaussPts ()
	get normal at integration points

auto	getFTensor1Tangent1AtGaussPts ()
	get tangent 1 at integration points

auto	getFTensor1Tangent2AtGaussPts ()
	get tangent 2 at integration points

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

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.

EntityHandle	getFEEntityHandle () const
	Return finite element entity handle.

int	getFEDim () const
	Get dimension of finite element.

EntityType	getFEType () const
	Get dimension of finite element.

boost::weak_ptr< SideNumber >	getSideNumberPtr (const int side_number, const EntityType type)
	Get the side number pointer.

EntityHandle	getSideEntity (const int side_number, const EntityType type)
	Get the side entity.

int	getNumberOfNodesOnElement () const
	Get the number of nodes on finite element.

MoFEMErrorCode	getProblemRowIndices (const std::string filed_name, const EntityType type, const int side, VectorInt &indices) const
	Get row indices.

MoFEMErrorCode	getProblemColIndices (const std::string filed_name, const EntityType type, const int side, VectorInt &indices) const
	Get col indices.

const FEMethod *	getFEMethod () const
	Return raw pointer to Finite Element Method object.

int	getOpType () const
	Get operator types.

void	setOpType (const OpType type)
	Set operator type.

void	addOpType (const OpType type)
	Add operator type.

int	getNinTheLoop () const
	get number of finite element in the loop

int	getLoopSize () const
	get size of elements in the loop

std::string	getFEName () const
	Get name of the element.

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

auto	getFTensor0IntegrationWeight ()
	Get integration weights.

MatrixDouble &	getCoordsAtGaussPts ()
	Gauss points and weight, matrix (nb. of points x 3)

auto	getFTensor1CoordsAtGaussPts ()
	Get coordinates at integration points assuming linear geometry.

double	getMeasure () const
	get measure of element

double &	getMeasure ()
	get measure of element

MoFEMErrorCode	loopSide (const string &fe_name, ForcesAndSourcesCore side_fe, const size_t dim, const EntityHandle ent_for_side=0, boost::shared_ptr< Range > fe_range=nullptr, 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.

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.

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.

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.

MoFEMErrorCode	loopRange (const string &fe_name, ForcesAndSourcesCore *range_fe, boost::shared_ptr< Range > fe_range, const int verb=QUIET, const LogManager::SeverityLevel sev=Sev::noisy)
	Iterate over range of elements.

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.

virtual MoFEMErrorCode	opRhs (EntitiesFieldData &data, const bool error_if_no_base=false)

bool	getSymm () const
	Get if operator uses symmetry of DOFs or not.

void	setSymm ()
	set if operator is executed taking in account symmetry

void	unSetSymm ()
	unset if operator is executed for non symmetric problem

Public Attributes
boost::shared_ptr< MetaSpringBC::DataAtIntegrationPtsSprings >	commonDataPtr

MetaSpringBC::BlockOptionDataSprings &	dAta

MatrixDouble	locKs

MatrixDouble	transLocKs

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.

std::array< bool, MBMAXTYPE >	doEntities
	If true operator is executed for entity.

bool &	doVertices
	\deprectaed If false skip vertices

bool &	doEdges
	\deprectaed If false skip edges

bool &	doQuads
	\deprectaed

bool &	doTris
	\deprectaed

bool &	doTets
	\deprectaed

bool &	doPrisms
	\deprectaed

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

Public Types inherited from MoFEM::DataOperator
using	DoWorkLhsHookFunType

using	DoWorkRhsHookFunType

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

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

Detailed Description

Definition at line 253 of file SpringElement.hpp.

Constructor & Destructor Documentation

◆ OpSpringKs_dX()

MetaSpringBC::OpSpringKs_dX::OpSpringKs_dX	(	boost::shared_ptr< MetaSpringBC::DataAtIntegrationPtsSprings > &	common_data_ptr,
		MetaSpringBC::BlockOptionDataSprings &	data,
		const std::string	field_name_1,
		const std::string	field_name_2 )

inline

Definition at line 319 of file SpringElement.hpp.

        : MoFEM::FaceElementForcesAndSourcesCore::UserDataOperator(
              field_name_1.c_str(), field_name_2.c_str(), OPROWCOL),
          commonDataPtr(common_data_ptr), dAta(data) {
      sYmm = false;
    }

Member Function Documentation

◆ doWork()

MoFEMErrorCode MetaSpringBC::OpSpringKs_dX::doWork	(	int	row_side,
		int	col_side,
		EntityType	row_type,
		EntityType	col_type,
		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 \((\Delta\mathbf{X})\):

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

Reimplemented from MoFEM::DataOperator.

Definition at line 228 of file SpringElement.cpp.

                                                                      {
  MoFEMFunctionBegin;
 
  // check if the volumes have associated degrees of freedom
  const int row_nb_dofs = row_data.getIndices().size();
  if (!row_nb_dofs)
    MoFEMFunctionReturnHot(0);
 
  const int col_nb_dofs = col_data.getIndices().size();
  if (!col_nb_dofs)
    MoFEMFunctionReturnHot(0);
 
  if (dAta.tRis.find(getFEEntityHandle()) == dAta.tRis.end()) {
    MoFEMFunctionReturnHot(0);
  }
 
  CHKERR commonDataPtr->getBlockData(dAta);
  // size associated to the entity
  locKs.resize(row_nb_dofs, col_nb_dofs, false);
  locKs.clear();
 
  // get number of Gauss points
  const int row_nb_gauss_pts = row_data.getN().size1();
  if (!row_nb_gauss_pts) // check if number of Gauss point <> 0
    MoFEMFunctionReturnHot(0);
 
  // get intergration weights
  auto t_w = getFTensor0IntegrationWeight();
 
  FTensor::Index<'i', 3> i;
  FTensor::Index<'j', 3> j;
  FTensor::Index<'k', 3> k;
  FTensor::Index<'l', 3> l;
 
  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;
  };
 
  const double normal_stiffness = commonDataPtr->springStiffnessNormal;
  const double tangent_stiffness = commonDataPtr->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;
  FTensor::Tensor1<double, 3> t_displacement_at_gauss_point;
 
  // Extract solution at Gauss points
  auto t_solution_at_gauss_point =
      getFTensor1FromMat<3>(*commonDataPtr->xAtPts);
  auto t_init_solution_at_gauss_point =
      getFTensor1FromMat<3>(*commonDataPtr->xInitAtPts);
 
  auto t_1 = getFTensor1FromMat<3>(commonDataPtr->tangent1);
  auto t_2 = getFTensor1FromMat<3>(commonDataPtr->tangent2);
 
  constexpr auto t_kd = FTensor::Kronecker_Delta<int>();
 
  auto normal_at_gp = getFTensor1FromMat<3>(commonDataPtr->normalVector);
 
  // loop over the Gauss points
  for (int gg = 0; gg != row_nb_gauss_pts; gg++) {
    // get area and integration weight
    t_normal(i) = normal_at_gp(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;
 
    double w = 0.5 * t_w;
 
    t_displacement_at_gauss_point(i) =
        t_solution_at_gauss_point(i) - t_init_solution_at_gauss_point(i);
 
    auto t_row_base_func = row_data.getFTensor0N(gg, 0);
 
    for (int rr = 0; rr != row_nb_dofs / 3; rr++) {
      auto t_col_base_func = col_data.getFTensor0N(gg, 0);
      auto t_N = col_data.getFTensor1DiffN<2>(gg, 0);
      auto assemble_m = getFTensor2FromArray<3, 3, 3>(locKs, 3 * rr);
      for (int cc = 0; cc != col_nb_dofs / 3; cc++) {
        auto t_d_n = make_vec_der(t_N, t_1, t_2);
        auto t_d_n_2 = make_vec_der_2(t_N, t_1, t_2);
 
        assemble_m(i, j) -= w * normal_length * t_col_base_func *
                            normal_stiffness * t_row_base_func *
                            t_normal_projection(i, j);
 
        assemble_m(i, j) += w * normal_length * t_col_base_func *
                            tangent_stiffness * t_row_base_func *
                            t_tangent_projection(i, j);
 
        assemble_m(i, j) +=
            w * (normal_stiffness - tangent_stiffness) * t_row_base_func *
            (t_d_n(i, j) * (t_normal(k) * t_displacement_at_gauss_point(k)) +
             normal_length * t_normal(i) *
                 (t_d_n_2(k, j) * t_displacement_at_gauss_point(k)));
        // constexpr auto t_kd = FTensor::Kronecker_Delta_symmetric<int>();
        assemble_m(i, j) += w * (t_d_n(l, j) * t_normal(l)) *
                            tangent_stiffness * t_row_base_func * t_kd(i, k) *
                            t_displacement_at_gauss_point(k);
 
        ++t_col_base_func;
        ++t_N;
        ++assemble_m;
      }
      ++t_row_base_func;
    }
    // move to next integration weight
    ++t_w;
    ++t_solution_at_gauss_point;
    ++t_init_solution_at_gauss_point;
    ++t_1;
    ++t_2;
    ++normal_at_gp;
  }
 
  // Add computed values of spring stiffness to the global LHS matrix
  CHKERR MatSetValues(getKSPB(), row_data, col_data, &locKs(0, 0), ADD_VALUES);
 
  MoFEMFunctionReturn(0);
}

Member Data Documentation

◆ commonDataPtr

boost::shared_ptr<MetaSpringBC::DataAtIntegrationPtsSprings> MetaSpringBC::OpSpringKs_dX::commonDataPtr

Definition at line 256 of file SpringElement.hpp.

◆ dAta

MetaSpringBC::BlockOptionDataSprings& MetaSpringBC::OpSpringKs_dX::dAta

Definition at line 257 of file SpringElement.hpp.

◆ locKs

MatrixDouble MetaSpringBC::OpSpringKs_dX::locKs

Definition at line 259 of file SpringElement.hpp.

◆ transLocKs

MatrixDouble MetaSpringBC::OpSpringKs_dX::transLocKs

Definition at line 260 of file SpringElement.hpp.

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

Public Member Functions

Public Attributes

Additional Inherited Members