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

Inheritance diagram for OpAleLhs_dX_dX< S >:

Collaboration diagram for OpAleLhs_dX_dX< S >:

Public Member Functions
	OpAleLhs_dX_dX (const std::string row_field, const std::string col_field, boost::shared_ptr< DataAtIntegrationPts > &data_at_pts)

Public Member Functions inherited from OpAssemble
	OpAssemble (const std::string row_field, const std::string col_field, boost::shared_ptr< DataAtIntegrationPts > data_at_pts, const char type, bool symm=false)

MoFEMErrorCode	doWork (int row_side, int col_side, EntityType row_type, EntityType col_type, EntData &row_data, EntData &col_data)
	Do calculations for give operator.

MoFEMErrorCode	doWork (int row_side, EntityType row_type, EntData &row_data)
	Operator for linear form, usually to calculate values on right hand side.

Public Member Functions inherited from MoFEM::VolumeElementForcesAndSourcesCore::UserDataOperator
int	getNumNodes ()
	get element number of nodes

const EntityHandle *	getConn ()
	get element connectivity

double	getVolume () const
	element volume (linear geometry)

double &	getVolume ()
	element volume (linear geometry)

FTensor::Tensor2< double *, 3, 3 > &	getJac ()
	get element Jacobian

FTensor::Tensor2< double *, 3, 3 > &	getInvJac ()
	get element inverse Jacobian

VectorDouble &	getCoords ()
	nodal coordinates

VolumeElementForcesAndSourcesCore *	getVolumeFE () const
	return pointer to Generic Volume Finite Element object

Public Member Functions inherited from MoFEM::ForcesAndSourcesCore::UserDataOperator
	UserDataOperator (const FieldSpace space, const char type=OPSPACE, const bool symm=true)
	Constructor for operators working on finite element spaces.

	UserDataOperator (const std::string field_name, const char type, const bool symm=true)
	Constructor for operators working on a single field.

	UserDataOperator (const std::string row_field_name, const std::string col_field_name, const char type, const bool symm=true)
	Constructor for operators working on two fields (bilinear forms)

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

KspMethod::KSPContext	getKSPCtx () const

SnesMethod::SNESContext	getSNESCtx () 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

MoFEM::Interface &	getMField ()

moab::Interface &	getMoab ()

virtual boost::weak_ptr< ForcesAndSourcesCore >	getSubPipelinePtr () const

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	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

Protected Member Functions
MoFEMErrorCode	iNtegrate (EntData &row_data, EntData &col_data)
	Integrate tangent stiffness for material momentum.

Protected Member Functions inherited from OpAssemble
virtual MoFEMErrorCode	iNtegrate (EntData &row_data)

MoFEMErrorCode	aSsemble (EntData &row_data, EntData &col_data)
	Assemble local entity block matrix.

MoFEMErrorCode	aSsemble (EntData &row_data)
	Assemble local entity right-hand vector.

Protected Member Functions inherited from MoFEM::VolumeElementForcesAndSourcesCore::UserDataOperator
MoFEMErrorCode	setPtrFE (ForcesAndSourcesCore *ptr)

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 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

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

Protected Attributes inherited from OpAssemble
MatrixDouble	K

MatrixDouble	transK

VectorDouble	nF

boost::shared_ptr< DataAtIntegrationPts >	dataAtPts

VectorInt	rowIndices

VectorInt	colIndices

int	nbRows
	number of dofs on rows

int	nbCols
	number if dof on column

int	nbIntegrationPts
	number of integration points

bool	isDiag
	true if this block is on diagonal

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

Detailed Description

template<int S = 0>
struct OpAleLhs_dX_dX< S >

Examples: mofem/users_modules/basic_finite_elements/src/HookeElement.hpp, and mofem/users_modules/basic_finite_elements/src/impl/HookeElement.cpp.

Definition at line 521 of file HookeElement.hpp.

Constructor & Destructor Documentation

◆ OpAleLhs_dX_dX()

template<int S>

OpAleLhs_dX_dX< S >::OpAleLhs_dX_dX	(	const std::string	row_field,
		const std::string	col_field,
		boost::shared_ptr< DataAtIntegrationPts > &	data_at_pts
	)

Definition at line 1149 of file HookeElement.hpp.

1152 : OpAssemble(row_field, col_field, data_at_pts, OPROWCOL, true) {}

MoFEM::ForcesAndSourcesCore::UserDataOperator::OPROWCOL

@ OPROWCOL

operator doWork is executed on FE rows &columns

Definition ForcesAndSourcesCore.hpp:604

OpAssemble

Definition HookeElement.hpp:340

Member Function Documentation

◆ iNtegrate()

template<int S>

MoFEMErrorCode OpAleLhs_dX_dX< S >::iNtegrate	(	EntData &	row_data,
		EntData &	col_data
	)

protectedvirtual

Integrate tangent stiffness for material momentum.

Parameters

row_data	row data (consist base functions on row entity)
col_data	column data (consist base functions on column entity)

Returns: error code

Reimplemented from OpAssemble.

Definition at line 1155 of file HookeElement.hpp.

                                                                             {
  MoFEMFunctionBegin;
 
  // get sub-block (3x3) of local stiffens matrix, here represented by
  // second order tensor
  auto get_tensor2 = [](MatrixDouble &m, const int r, const int c) {
    return FTensor::Tensor2<FTensor::PackPtr<double *, 3>, 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));
  };
 
  FTensor::Index<'i', 3> i;
  FTensor::Index<'j', 3> j;
  FTensor::Index<'k', 3> k;
  FTensor::Index<'l', 3> l;
  FTensor::Index<'m', 3> m;
  FTensor::Index<'n', 3> n;
 
  // get element volume
  double vol = getVolume();
 
  // get intergrayion weights
  auto t_w = getFTensor0IntegrationWeight();
 
  // get derivatives of base functions on rows
  auto t_row_diff_base = row_data.getFTensor1DiffN<3>();
  const int row_nb_base_fun = row_data.getN().size2();
 
  // Elastic stiffness tensor (4th rank tensor with minor and major
  // symmetry)
  FTensor::Ddg<FTensor::PackPtr<double *, S>, 3, 3> t_D(
      MAT_TO_DDG(dataAtPts->stiffnessMat));
  auto t_cauchy_stress =
      getFTensor2SymmetricFromMat<3, -1, CoeffsByGauss>(
          *(dataAtPts->cauchyStressMat));
  auto t_strain = getFTensor2SymmetricFromMat<3, -1, CoeffsByGauss>(
      *(dataAtPts->smallStrainMat));
  auto t_eshelby_stress =
      getFTensor2FromMat<3, 3, -1, CoeffsByGauss>(
          *dataAtPts->eshelbyStressMat);
  auto t_h = getFTensor2FromMat<3, 3>(*dataAtPts->hMat);
  auto t_invH =
      getFTensor2FromMat<3, 3, -1, CoeffsByGauss>(*dataAtPts->invHMat);
  auto t_F = getFTensor2FromMat<3, 3, -1, CoeffsByGauss>(*dataAtPts->FMat);
  auto &det_H = *dataAtPts->detHVec;
 
  // iterate over integration points
  for (int gg = 0; gg != nbIntegrationPts; ++gg) {
 
    // calculate scalar weight times element volume
    double a = t_w * vol * det_H[gg];
 
    FTensor::Tensor4<double, 3, 3, 3, 3> t_F_dX;
    t_F_dX(i, j, k, l) = -(t_h(i, m) * t_invH(m, k)) * t_invH(l, j);
 
    FTensor::Tensor4<double, 3, 3, 3, 3> t_D_strain_dX;
    t_D_strain_dX(i, j, m, n) = 0.;
    for (int ii = 0; ii != 3; ++ii)
      for (int jj = 0; jj != 3; ++jj)
        for (int ll = 0; ll != 3; ++ll)
          for (int kk = 0; kk != 3; ++kk) {
            auto &v = t_D_strain_dX(ii, jj, kk, ll);
            for (int mm = 0; mm != 3; ++mm)
              for (int nn = 0; nn != 3; ++nn)
                v += t_D(ii, jj, mm, nn) * t_F_dX(mm, nn, kk, ll);
          }
 
    FTensor::Tensor4<double, 3, 3, 3, 3> t_eshelby_stress_dX;
    t_eshelby_stress_dX(i, j, m, n) = t_F(k, i) * t_D_strain_dX(k, j, m, n);
 
    for (int ii = 0; ii != 3; ++ii)
      for (int jj = 0; jj != 3; ++jj)
        for (int mm = 0; mm != 3; ++mm)
          for (int nn = 0; nn != 3; ++nn) {
            auto &v = t_eshelby_stress_dX(ii, jj, mm, nn);
            for (int kk = 0; kk != 3; ++kk)
              v += t_F_dX(kk, ii, mm, nn) * t_cauchy_stress(kk, jj);
          }
 
    t_eshelby_stress_dX(i, j, k, l) *= -1;
 
    FTensor::Tensor2<double, 3, 3> t_energy_dX;
    t_energy_dX(k, l) = t_F_dX(i, j, k, l) * t_cauchy_stress(i, j);
    t_energy_dX(k, l) +=
        (t_strain(m, n) * t_D(m, n, i, j)) * t_F_dX(i, j, k, l);
    t_energy_dX(k, l) /= 2.;
 
    for (int kk = 0; kk != 3; ++kk)
      for (int ll = 0; ll != 3; ++ll) {
        auto v = t_energy_dX(kk, ll);
        for (int ii = 0; ii != 3; ++ii)
          t_eshelby_stress_dX(ii, ii, kk, ll) += v;
      }
 
    // iterate over row base functions
    int rr = 0;
    for (; rr != nbRows / 3; ++rr) {
 
      // get sub matrix for the row
      auto t_m = get_tensor2(K, 3 * rr, 0);
 
      FTensor::Tensor1<double, 3> t_row_diff_base_pulled;
      t_row_diff_base_pulled(i) = t_row_diff_base(j) * t_invH(j, i);
 
      FTensor::Tensor1<double, 3> t_row_stress;
      t_row_stress(i) = a * t_row_diff_base_pulled(j) * t_eshelby_stress(i, j);
 
      FTensor::Tensor3<double, 3, 3, 3> t_row_diff_base_pulled_dX;
      t_row_diff_base_pulled_dX(j, k, l) =
          -(t_row_diff_base(i) * t_invH(i, k)) * t_invH(l, j);
 
      FTensor::Tensor3<double, 3, 3, 3> t_row_dX_stress;
      t_row_dX_stress(i, k, l) =
          a * (t_row_diff_base_pulled_dX(j, k, l) * t_eshelby_stress(i, j));
 
      FTensor::Tensor3<double, 3, 3, 3> t_row_stress_dX;
      t_row_stress_dX(i, m, n) =
          a * t_row_diff_base_pulled(j) * t_eshelby_stress_dX(i, j, m, n);
 
      // get derivatives of base functions for columns
      auto t_col_diff_base = col_data.getFTensor1DiffN<3>(gg, 0);
 
      // iterate column base functions
      for (int cc = 0; cc != nbCols / 3; ++cc) {
 
        t_m(i, k) += t_row_stress(i) * (t_invH(j, k) * t_col_diff_base(j));
        t_m(i, k) += t_row_dX_stress(i, k, l) * t_col_diff_base(l);
        t_m(i, k) += t_row_stress_dX(i, k, l) * t_col_diff_base(l);
 
        // move to next column base function
        ++t_col_diff_base;
 
        // move to next block of local stiffens matrix
        ++t_m;
      }
 
      // move to next row base function
      ++t_row_diff_base;
    }
 
    for (; rr != row_nb_base_fun; ++rr)
      ++t_row_diff_base;
 
    // move to next integration weight
    ++t_w;
    ++t_D;
    ++t_cauchy_stress;
    ++t_strain;
    ++t_eshelby_stress;
    ++t_h;
    ++t_invH;
    ++t_F;
  }
 
  MoFEMFunctionReturn(0);
}

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

users_modules/basic_finite_elements/src/HookeElement.hpp

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ OpAleLhs_dX_dX()

Member Function Documentation

◆ iNtegrate()