Inheritance diagram for EshelbianPlasticity::HMHHencky::OpSpatialPhysical_du_du< STRIDEMATD >:

Collaboration diagram for EshelbianPlasticity::HMHHencky::OpSpatialPhysical_du_du< STRIDEMATD >:

Public Member Functions
	OpSpatialPhysical_du_du (std::string row_field, std::string col_field, boost::shared_ptr< DataAtIntegrationPts > data_ptr, const double alpha)

MoFEMErrorCode	integrate (EntData &row_data, EntData &col_data)

MoFEMErrorCode	integrateHencky (EntData &row_data, EntData &col_data)

MoFEMErrorCode	integratePolyconvexHencky (EntData &row_data, EntData &col_data)

Public Member Functions inherited from OpAssembleVolume
MoFEMErrorCode	assemble (int row_side, int col_side, EntityType row_type, EntityType col_type, EntData &row_data, EntData &col_data)

Public Member Functions inherited from OpAssembleBasic< VolUserDataOperator >
	OpAssembleBasic (const std::string &field_name, boost::shared_ptr< DataAtIntegrationPts > data_ptr, const char type)

	OpAssembleBasic (std::string row_field, std::string col_field, boost::shared_ptr< DataAtIntegrationPts > data_ptr, const char type, const bool assemble_symmetry, ScaleOff scale_off=[]() { return 1;})

	OpAssembleBasic (const FieldSpace space)

virtual MoFEMErrorCode	integrate (EntData &data)

virtual MoFEMErrorCode	integrate (int row_side, EntityType row_type, EntData &data)

virtual MoFEMErrorCode	integrate (EntData &row_data, EntData &col_data)

virtual MoFEMErrorCode	assemble (EntData &data)

virtual MoFEMErrorCode	assemble (int row_side, EntityType row_type, EntData &data)

MoFEMErrorCode	doWork (int side, EntityType type, EntData &data)

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

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

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

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

Public Attributes
const double	alphaU

Public Attributes inherited from OpAssembleBasic< VolUserDataOperator >
const bool	assembleSymmetry

boost::shared_ptr< DataAtIntegrationPts >	dataAtPts
	data at integration pts

VectorDouble	nF
	local right hand side vector

MatrixDouble	K
	local tangent matrix

MatrixDouble	transposeK

ScaleOff	scaleOff

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

Private Attributes
PetscBool	polyConvex = PETSC_FALSE

MatrixDouble	dP

Additional Inherited Members
Public Types inherited from OpAssembleVolume
using	OP = OpAssembleBasic< VolUserDataOperator >

using	ScaleOff = typename OP::ScaleOff

Public Types inherited from OpAssembleBasic< VolUserDataOperator >
using	ScaleOff = boost::function< double()>

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)>

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

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

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

Static Protected Attributes inherited from OpAssembleVolume
static std::map< std::pair< std::string, std::string >, MatrixDouble >	mapMatrix

Detailed Description

template<int STRIDEMATD = 0>
struct EshelbianPlasticity::HMHHencky::OpSpatialPhysical_du_du< STRIDEMATD >

Definition at line 128 of file HMHHencky.cpp.

Constructor & Destructor Documentation

◆ OpSpatialPhysical_du_du()

template<int STRIDEMATD = 0>

EshelbianPlasticity::HMHHencky::OpSpatialPhysical_du_du< STRIDEMATD >::OpSpatialPhysical_du_du	(	std::string	row_field,
		std::string	col_field,
		boost::shared_ptr< DataAtIntegrationPts >	data_ptr,
		const double	alpha
	)

Definition at line 824 of file HMHHencky.cpp.

    : OpAssembleVolume(row_field, col_field, data_ptr, OPROWCOL, false),
      alphaU(alpha) {
  sYmm = false;
 
  CHK_MOAB_THROW(PetscOptionsGetBool(PETSC_NULLPTR, "", "-poly_convex",
                                     &polyConvex, PETSC_NULLPTR),
                 "get polyconvex option failed");
}

Member Function Documentation

◆ integrate()

template<int STRIDEMATD = 0>

MoFEMErrorCode EshelbianPlasticity::HMHHencky::OpSpatialPhysical_du_du< STRIDEMATD >::integrate	(	EntData &	row_data,
		EntData &	col_data
	)

Definition at line 942 of file HMHHencky.cpp.

                                                                             {
  MoFEMFunctionBegin;
  if (polyConvex && EshelbianCore::hasNonHomogeneousMaterialBlock) {
    SETERRQ(PETSC_COMM_SELF, MOFEM_NOT_IMPLEMENTED,
            "Polyconvex Hencky with heterogeneous material properties is not "
            "implemented");
  }
  if (polyConvex) {
    CHKERR integratePolyconvexHencky(row_data, col_data);
  } else {
    CHKERR integrateHencky(row_data, col_data);
  }
  MoFEMFunctionReturn(0);
}

◆ integrateHencky()

template<int STRIDEMATD = 0>

MoFEMErrorCode EshelbianPlasticity::HMHHencky::OpSpatialPhysical_du_du< STRIDEMATD >::integrateHencky	(	EntData &	row_data,
		EntData &	col_data
	)

Definition at line 959 of file HMHHencky.cpp.

                                          {
  MoFEMFunctionBegin;
 
  FTensor::Index<'L', size_symm> L;
  FTensor::Index<'J', size_symm> J;
  auto t_L = symm_L_tensor();
  auto t_diff = diff_tensor();
 
  int nb_integration_pts = row_data.getN().size1();
  int row_nb_dofs = row_data.getIndices().size();
  int col_nb_dofs = col_data.getIndices().size();
 
  auto get_ftensor2 = [](MatrixDouble &m, const int r, const int c) {
    return FTensor::Tensor2<FTensor::PackPtr<double *, 6>, size_symm,
                            size_symm>(
 
        &m(r + 0, c + 0), &m(r + 0, c + 1), &m(r + 0, c + 2), &m(r + 0, c + 3),
        &m(r + 0, c + 4), &m(r + 0, c + 5),
 
        &m(r + 1, c + 0), &m(r + 1, c + 1), &m(r + 1, c + 2), &m(r + 1, c + 3),
        &m(r + 1, c + 4), &m(r + 1, c + 5),
 
        &m(r + 2, c + 0), &m(r + 2, c + 1), &m(r + 2, c + 2), &m(r + 2, c + 3),
        &m(r + 2, c + 4), &m(r + 2, c + 5),
 
        &m(r + 3, c + 0), &m(r + 3, c + 1), &m(r + 3, c + 2), &m(r + 3, c + 3),
        &m(r + 3, c + 4), &m(r + 3, c + 5),
 
        &m(r + 4, c + 0), &m(r + 4, c + 1), &m(r + 4, c + 2), &m(r + 4, c + 3),
        &m(r + 4, c + 4), &m(r + 4, c + 5),
 
        &m(r + 5, c + 0), &m(r + 5, c + 1), &m(r + 5, c + 2), &m(r + 5, c + 3),
        &m(r + 5, c + 4), &m(r + 5, c + 5)
 
    );
  };
 
  FTENSOR_INDEXES(SPACE_DIM, i, j, k, l, m, n);
 
  auto v = getVolume();
  auto t_w = getFTensor0IntegrationWeight();
 
  auto t_approx_P_adjoint__dstretch =
      dataAtPts->getFTensorAdjointPdstretch(nb_integration_pts);
  auto t_eigen_vals = dataAtPts->getFTensorEigenVals(nb_integration_pts);
  auto t_eigen_vecs = dataAtPts->getFTensorEigenVecs(nb_integration_pts);
 
  int row_nb_base_functions = row_data.getN().size2();
  auto t_row_base_fun = row_data.getFTensor0N();
 
  auto get_dP = [&]() {
    auto get_stress =
        MatrixSizeHelper<GetFTensor2FromMatType<size_symm, size_symm, -1, DL>,
                         DL>::size(dP, nb_integration_pts);
    auto ts_a = getTSa();
 
    auto t_D = getFTensor4DdgFromMat<3, 3, STRIDEMATD>(dataAtPts->matD);
    FTensor::Tensor2<double, size_symm, size_symm> t_dP_tmp;
    if constexpr (!STRIDEMATD) {
      t_dP_tmp(L, J) = -(1 + alphaU * ts_a) *
                       (t_L(i, j, L) * ((t_D(i, j, m, n) * t_diff(m, n, k, l)) *
                                        t_L(k, l, J)));
    }
    // allocate FTensors
    FTensor::Tensor3<double, 3, 3, size_symm> L_left;
    L_left(i, j, L) = t_L(i, j, L);
    FTensor::Tensor3<double, 3, 3, size_symm> L_right;
    L_right(k, l, J) = t_L(k, l, J);
    FTensor::Tensor4<double, 3, 3, 3, 3> temp;
 
    if (EshelbianCore::stretchSelector > LINEAR &&
        EshelbianCore::gradApproximator > MODERATE_ROT) {
      auto t_approx_P_adjoint__dstretch =
          dataAtPts->getFTensorAdjointPdstretch(nb_integration_pts);
      auto t_eigen_vals = dataAtPts->getFTensorEigenVals(nb_integration_pts);
      auto t_eigen_vecs = dataAtPts->getFTensorEigenVecs(nb_integration_pts);
      auto &nbUniq = dataAtPts->nbUniq;
 
      auto t_dP = get_stress();
      for (auto gg = 0; gg != nb_integration_pts; ++gg) {
        if constexpr (STRIDEMATD) {
          temp(i, j, k, l) = t_D(i, j, m, n) * t_diff(m, n, k, l);
 
          t_dP_tmp(L, J) =
              -(1 + alphaU * ts_a) *
              (L_left(i, j, L) * (temp(i, j, k, l) * L_right(k, l, J)));
 
          ++t_D;
        }
 
        // Work of symmetric tensor on undefined tensor is equal to the work
        // of the symmetric part of it
        FTensor::Tensor2_symmetric<double, 3> t_sym;
        t_sym(i, j) = (t_approx_P_adjoint__dstretch(i, j) ||
                       t_approx_P_adjoint__dstretch(j, i));
        t_sym(i, j) /= 2.0;
        auto t_diff2_uP2 = EigenMatrix::getDiffDiffMat(
            t_eigen_vals, t_eigen_vecs, EshelbianCore::f, EshelbianCore::d_f,
            EshelbianCore::dd_f, t_sym, nbUniq[gg]);
        t_dP(L, J) = t_L(i, j, L) *
                         ((t_diff2_uP2(i, j, k, l) + t_diff2_uP2(k, l, i, j)) *
                          t_L(k, l, J)) /
                         2. +
                     t_dP_tmp(L, J);
 
        ++t_dP;
        ++t_approx_P_adjoint__dstretch;
        ++t_eigen_vals;
        ++t_eigen_vecs;
      }
    } else {
      auto t_dP = get_stress();
      for (auto gg = 0; gg != nb_integration_pts; ++gg) {
        if constexpr (STRIDEMATD) {
          temp(i, j, k, l) = t_D(i, j, m, n) * t_diff(m, n, k, l);
 
          t_dP_tmp(L, J) =
              -(1 + alphaU * ts_a) *
              (L_left(i, j, L) * (temp(i, j, k, l) * L_right(k, l, J)));
 
          ++t_D;
        }
        t_dP(L, J) = t_dP_tmp(L, J);
 
        ++t_dP;
      }
    }
 
    return get_stress();
  };
 
  auto t_dP = get_dP();
 
  for (int gg = 0; gg != nb_integration_pts; ++gg) {
    double a = v * t_w;
 
    int rr = 0;
    for (; rr != row_nb_dofs / 6; ++rr) {
      auto t_col_base_fun = col_data.getFTensor0N(gg, 0);
      auto t_m = get_ftensor2(K, 6 * rr, 0);
      for (int cc = 0; cc != col_nb_dofs / 6; ++cc) {
        const double b = a * t_row_base_fun * t_col_base_fun;
        t_m(L, J) -= b * t_dP(L, J);
        ++t_m;
        ++t_col_base_fun;
      }
      ++t_row_base_fun;
    }
 
    for (; rr != row_nb_base_functions; ++rr) {
      ++t_row_base_fun;
    }
 
    ++t_w;
    ++t_dP;
  }
  MoFEMFunctionReturn(0);
}

◆ integratePolyconvexHencky()

template<int STRIDEMATD = 0>

MoFEMErrorCode EshelbianPlasticity::HMHHencky::OpSpatialPhysical_du_du< STRIDEMATD >::integratePolyconvexHencky	(	EntData &	row_data,
		EntData &	col_data
	)

Definition at line 1121 of file HMHHencky.cpp.

                                          {
  MoFEMFunctionBegin;
 
  FTensor::Index<'L', size_symm> L;
  FTensor::Index<'J', size_symm> J;
  auto t_L = symm_L_tensor();
  auto t_diff = diff_tensor();
 
  int nb_integration_pts = row_data.getN().size1();
  int row_nb_dofs = row_data.getIndices().size();
  int col_nb_dofs = col_data.getIndices().size();
 
  auto get_ftensor2 = [](MatrixDouble &m, const int r, const int c) {
    return FTensor::Tensor2<FTensor::PackPtr<double *, 6>, size_symm,
                            size_symm>(
 
        &m(r + 0, c + 0), &m(r + 0, c + 1), &m(r + 0, c + 2), &m(r + 0, c + 3),
        &m(r + 0, c + 4), &m(r + 0, c + 5),
 
        &m(r + 1, c + 0), &m(r + 1, c + 1), &m(r + 1, c + 2), &m(r + 1, c + 3),
        &m(r + 1, c + 4), &m(r + 1, c + 5),
 
        &m(r + 2, c + 0), &m(r + 2, c + 1), &m(r + 2, c + 2), &m(r + 2, c + 3),
        &m(r + 2, c + 4), &m(r + 2, c + 5),
 
        &m(r + 3, c + 0), &m(r + 3, c + 1), &m(r + 3, c + 2), &m(r + 3, c + 3),
        &m(r + 3, c + 4), &m(r + 3, c + 5),
 
        &m(r + 4, c + 0), &m(r + 4, c + 1), &m(r + 4, c + 2), &m(r + 4, c + 3),
        &m(r + 4, c + 4), &m(r + 4, c + 5),
 
        &m(r + 5, c + 0), &m(r + 5, c + 1), &m(r + 5, c + 2), &m(r + 5, c + 3),
        &m(r + 5, c + 4), &m(r + 5, c + 5)
 
    );
  };
  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;
 
  auto v = getVolume();
  auto t_w = getFTensor0IntegrationWeight();
 
  int row_nb_base_functions = row_data.getN().size2();
  auto t_row_base_fun = row_data.getFTensor0N();
 
  auto get_dP = [&]() {
    auto get_stress =
        MatrixSizeHelper<GetFTensor2FromMatType<size_symm, size_symm, -1, DL>,
                         DL>::size(dP, nb_integration_pts);
    auto ts_a = getTSa();
 
    auto t_D = getFTensor4DdgFromPtr<3, 3, 0>(&*dataAtPts->matD.data().begin());
 
    constexpr double nohat_k = 1. / 4;
    constexpr double hat_k = 1. / 8;
    double mu = dataAtPts->mu;
    double lambda = dataAtPts->lambda;
 
    constexpr double third = boost::math::constants::third<double>();
    auto t_kd = FTensor::Kronecker_Delta_symmetric<int>();
    auto t_diff_deviator = diff_deviator(diff_tensor());
 
    auto t_approx_P_adjoint__dstretch =
        dataAtPts->getFTensorAdjointPdstretch(getGaussPts().size2());
    auto t_log_stretch_h1 =
        dataAtPts->getFTensorLogStretchTotal(getGaussPts().size2());
    auto t_eigen_vals = dataAtPts->getFTensorEigenVals(getGaussPts().size2());
    auto t_eigen_vecs = dataAtPts->getFTensorEigenVecs(getGaussPts().size2());
    auto &nbUniq = dataAtPts->nbUniq;
 
    auto t_dP = get_stress();
    for (auto gg = 0; gg != nb_integration_pts; ++gg) {
 
      double log_det = t_log_stretch_h1(i, i);
      double log_det2 = log_det * log_det;
      FTensor::Tensor2_symmetric<double, 3> t_dev;
      t_dev(i, j) = t_log_stretch_h1(i, j) - t_kd(i, j) * (third * log_det);
      double dev_norm2 = t_dev(i, j) * t_dev(i, j);
 
      auto A = 2 * mu * std::exp(nohat_k * dev_norm2);
      auto B = lambda * std::exp(hat_k * log_det2) * log_det;
 
      FTensor::Tensor2_symmetric<double, 3> t_A_diff, t_B_diff;
      t_A_diff(i, j) =
          (A * 2 * nohat_k) * (t_dev(k, l) * t_diff_deviator(k, l, i, j));
      t_B_diff(i, j) = (B * 2 * hat_k) * log_det * t_kd(i, j) +
                       lambda * std::exp(hat_k * log_det2) * t_kd(i, j);
      FTensor::Ddg<double, 3, 3> t_dT;
      t_dT(i, j, k, l) =
          t_A_diff(i, j) * (t_dev(m, n) * t_diff_deviator(m, n, k, l))
 
          +
 
          A * t_diff_deviator(m, n, i, j) * t_diff_deviator(m, n, k, l)
 
          +
 
          t_B_diff(i, j) * t_kd(k, l);
 
      t_dP(L, J) = -t_L(i, j, L) *
                   ((
 
                        t_dT(i, j, k, l)
 
                        +
 
                        (alphaU * ts_a) * (t_D(i, j, m, n) * t_diff(m, n, k, l)
 
                                               )) *
                    t_L(k, l, J));
 
      // Work of symmetric tensor on undefined tensor is equal to the work
      // of the symmetric part of it
      if (EshelbianCore::stretchSelector > LINEAR &&
          EshelbianCore::gradApproximator > MODERATE_ROT) {
        FTensor::Tensor2_symmetric<double, 3> t_sym;
        t_sym(i, j) = (t_approx_P_adjoint__dstretch(i, j) ||
                       t_approx_P_adjoint__dstretch(j, i));
        t_sym(i, j) /= 2.0;
        auto t_diff2_uP2 = EigenMatrix::getDiffDiffMat(
            t_eigen_vals, t_eigen_vecs, EshelbianCore::f, EshelbianCore::d_f,
            EshelbianCore::dd_f, t_sym, nbUniq[gg]);
        t_dP(L, J) += t_L(i, j, L) *
                      ((t_diff2_uP2(i, j, k, l) + t_diff2_uP2(k, l, i, j)) *
                       t_L(k, l, J)) /
                      2.;
      }
 
      ++t_dP;
      ++t_approx_P_adjoint__dstretch;
      ++t_log_stretch_h1;
      ++t_eigen_vals;
      ++t_eigen_vecs;
    }
 
    return get_stress();
  };
 
  auto t_dP = get_dP();
  for (int gg = 0; gg != nb_integration_pts; ++gg) {
    double a = v * t_w;
 
    int rr = 0;
    for (; rr != row_nb_dofs / 6; ++rr) {
      auto t_col_base_fun = col_data.getFTensor0N(gg, 0);
      auto t_m = get_ftensor2(K, 6 * rr, 0);
      for (int cc = 0; cc != col_nb_dofs / 6; ++cc) {
        const double b = a * t_row_base_fun * t_col_base_fun;
        t_m(L, J) -= b * t_dP(L, J);
        ++t_m;
        ++t_col_base_fun;
      }
      ++t_row_base_fun;
    }
 
    for (; rr != row_nb_base_functions; ++rr) {
      ++t_row_base_fun;
    }
 
    ++t_w;
    ++t_dP;
  }
  MoFEMFunctionReturn(0);
}