Off diagonal block of tangent matrix \(K_{u u}\). More...

#include "users_modules/bone_remodelling/src/Remodeling.hpp"

Inheritance diagram for BoneRemodeling::OpAssmbleStressLhs_dF< ADOLC >:

Collaboration diagram for BoneRemodeling::OpAssmbleStressLhs_dF< ADOLC >:

Public Member Functions
	OpAssmbleStressLhs_dF (Remodeling::CommonData &common_data)

MoFEMErrorCode	doWork (int row_side, int col_side, EntityType row_type, EntityType col_type, DataForcesAndSourcesCore::EntData &row_data, DataForcesAndSourcesCore::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

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	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.

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
Remodeling::CommonData &	commonData

MatrixDouble	locK_P_F

MatrixDouble	transLocK_P_F

FTensor::Tensor2< double, 3, 3 >	diffDiff

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 = 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

Detailed Description

template<bool ADOLC>
struct BoneRemodeling::OpAssmbleStressLhs_dF< ADOLC >

Off diagonal block of tangent matrix \(K_{u u}\).

\[ K_{u u}=\left[\frac{\rho_{0}}{\rho_{0}^{\ast}}\right]^{n} \nabla N_j D_{ijkl}\nabla N_l S_{jl} \]

Definition at line 513 of file Remodeling.hpp.

Constructor & Destructor Documentation

◆ OpAssmbleStressLhs_dF()

template<bool ADOLC>

BoneRemodeling::OpAssmbleStressLhs_dF< ADOLC >::OpAssmbleStressLhs_dF ( Remodeling::CommonData & common_data )

Examples: mofem/users_modules/bone_remodelling/src/impl/Remodeling.cpp.

Definition at line 1144 of file Remodeling.cpp.

    : VolumeElementForcesAndSourcesCore::UserDataOperator(
          "DISPLACEMENTS", "DISPLACEMENTS", UserDataOperator::OPROWCOL),
      commonData(common_data) {
  sYmm = true;
}

Member Function Documentation

◆ doWork()

template<bool ADOLC>

MoFEMErrorCode BoneRemodeling::OpAssmbleStressLhs_dF< ADOLC >::doWork	(	int	row_side,
		int	col_side,
		EntityType	row_type,
		EntityType	col_type,
		DataForcesAndSourcesCore::EntData &	row_data,
		DataForcesAndSourcesCore::EntData &	col_data
	)

Examples: mofem/users_modules/bone_remodelling/src/Remodeling.hpp, and mofem/users_modules/bone_remodelling/src/impl/Remodeling.cpp.

Definition at line 1152 of file Remodeling.cpp.

                                               {
 
  MoFEMFunctionBegin;
 
  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);
 
  const bool diagonal_block = (row_type == col_type) && (row_side == col_side);
 
  // Set size can clear local tangent matrix
  locK_P_F.resize(row_nb_dofs, col_nb_dofs, false);
  locK_P_F.clear();
 
  const int row_nb_gauss_pts = row_data.getN().size1();
  const int row_nb_base_functions = row_data.getN().size2();
 
  MatrixDouble &matS = commonData.data.matS;
  MatrixDouble &dP_dF = commonData.data.matPushedMaterialTangent;
  // MatrixDouble &dS_dC = commonData.data.matMaterialTangent;
  // MatrixDouble &matF = commonData.data.matGradientOfDeformation;
 
  double t0;
 
  const double n = commonData.n;
  const double rho_ref = commonData.rHo_ref;
 
  FTensor::Index<'i', 3> i;
  FTensor::Index<'j', 3> j;
  FTensor::Index<'k', 3> k;
  FTensor::Index<'I', 3> I;
  FTensor::Index<'J', 3> J;
  FTensor::Index<'K', 3> K;
  FTensor::Index<'L', 3> L;
 
  auto row_diff_base_functions = row_data.getFTensor1DiffN<3>();
  FTensor::Tensor4<double *, 3, 3, 3, 3> D2(TENSOR4_MAT_PTR(dP_dF));
  FTensor::Tensor2_symmetric<double *, 3> S(SYMMETRIC_TENSOR2_MAT_PTR(matS), 6);
  auto rho = getFTensor0FromVec(*commonData.data.rhoPtr);
 
  // FTensor::Tensor4_ddg<double*,3,3> D1(SYMMETRIC_TENSOR4_MAT_PTR(dS_dC),6);
  // FTensor::Tensor2<double*,3,3> F(TENSOR2_MAT_PTR(matF));
 
  for (int gg = 0; gg != row_nb_gauss_pts; gg++) {
 
    // Get volume and integration weight
    double w = getVolume() * getGaussPts()(3, gg);
    const double a = w * pow(rho / rho_ref, n);
 
    int row_bb = 0;
    for (; row_bb != row_nb_dofs / 3; row_bb++) {
 
      auto col_diff_base_functions = col_data.getFTensor1DiffN<3>(gg, 0);
 
      const int final_bb = diagonal_block ? row_bb + 1 : col_nb_dofs / 3;
      int col_bb = 0;
      for (; col_bb != final_bb; col_bb++) {
 
        FTensor::Tensor2<double *, 3, 3> t_assemble(
            &locK_P_F(3 * row_bb + 0, 3 * col_bb + 0),
            &locK_P_F(3 * row_bb + 0, 3 * col_bb + 1),
            &locK_P_F(3 * row_bb + 0, 3 * col_bb + 2),
            &locK_P_F(3 * row_bb + 1, 3 * col_bb + 0),
            &locK_P_F(3 * row_bb + 1, 3 * col_bb + 1),
            &locK_P_F(3 * row_bb + 1, 3 * col_bb + 2),
            &locK_P_F(3 * row_bb + 2, 3 * col_bb + 0),
            &locK_P_F(3 * row_bb + 2, 3 * col_bb + 1),
            &locK_P_F(3 * row_bb + 2, 3 * col_bb + 2));
 
        diffDiff(J, L) =
            a * row_diff_base_functions(J) * col_diff_base_functions(L);
 
        // TODO: FIXME: Tensor D2 has major symmetry, we do not have such tensor
        // implemented at the moment. Using tensor with major symmetry will
        // improve code efficiency.
        t_assemble(i, k) += diffDiff(J, L) * D2(i, J, k, L);
 
        if (ADOLC) {
          // Stress stiffening part (only with adolc since it is using dS / dC
          // derrivative. Check OpCalculateStressTangentWithAdolc operator)
          t0 = diffDiff(J, L) * S(J, L);
          t_assemble(0, 0) += t0;
          t_assemble(1, 1) += t0;
          t_assemble(2, 2) += t0;
        }
 
        // Next base function for column
        ++col_diff_base_functions;
      }
 
      ++row_diff_base_functions;
    }
    for (; row_bb != row_nb_base_functions; row_bb++) {
      ++row_diff_base_functions;
    }
 
    // ++D1;
    ++D2;
    ++S;
    // ++F;
    ++rho;
  }
 
  // Copy of symmetric part for assemble
  if (diagonal_block) {
    for (int row_bb = 0; row_bb != row_nb_dofs / 3; row_bb++) {
      int col_bb = 0;
      for (; col_bb != row_bb + 1; col_bb++) {
        FTensor::Tensor2<double *, 3, 3> t_assemble(
            &locK_P_F(3 * row_bb + 0, 3 * col_bb + 0),
            &locK_P_F(3 * row_bb + 0, 3 * col_bb + 1),
            &locK_P_F(3 * row_bb + 0, 3 * col_bb + 2),
            &locK_P_F(3 * row_bb + 1, 3 * col_bb + 0),
            &locK_P_F(3 * row_bb + 1, 3 * col_bb + 1),
            &locK_P_F(3 * row_bb + 1, 3 * col_bb + 2),
            &locK_P_F(3 * row_bb + 2, 3 * col_bb + 0),
            &locK_P_F(3 * row_bb + 2, 3 * col_bb + 1),
            &locK_P_F(3 * row_bb + 2, 3 * col_bb + 2));
        FTensor::Tensor2<double *, 3, 3> t_off_side(
            &locK_P_F(3 * col_bb + 0, 3 * row_bb + 0),
            &locK_P_F(3 * col_bb + 0, 3 * row_bb + 1),
            &locK_P_F(3 * col_bb + 0, 3 * row_bb + 2),
            &locK_P_F(3 * col_bb + 1, 3 * row_bb + 0),
            &locK_P_F(3 * col_bb + 1, 3 * row_bb + 1),
            &locK_P_F(3 * col_bb + 1, 3 * row_bb + 2),
            &locK_P_F(3 * col_bb + 2, 3 * row_bb + 0),
            &locK_P_F(3 * col_bb + 2, 3 * row_bb + 1),
            &locK_P_F(3 * col_bb + 2, 3 * row_bb + 2));
        t_off_side(i, k) = t_assemble(k, i);
      }
    }
  }
 
  const int *row_ind = &*row_data.getIndices().begin();
  const int *col_ind = &*col_data.getIndices().begin();
  CHKERR MatSetValues(getFEMethod()->ts_B, row_nb_dofs, row_ind, col_nb_dofs,
                      col_ind, &locK_P_F(0, 0), ADD_VALUES);
 
  if (row_type != col_type || row_side != col_side) {
    transLocK_P_F.resize(col_nb_dofs, row_nb_dofs, false);
    noalias(transLocK_P_F) = trans(locK_P_F);
    CHKERR MatSetValues(getFEMethod()->ts_B, col_nb_dofs, col_ind, row_nb_dofs,
                        row_ind, &transLocK_P_F(0, 0), ADD_VALUES);
  }
 
  MoFEMFunctionReturn(0);
}