ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim > Class Template Reference

Detailed Description

template<typename ShapeFunction, int DisplacementDim>
class ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >

Definition at line 32 of file SmallDeformationLocalAssemblerFracture.h.

#include <SmallDeformationLocalAssemblerFracture.h>

Inheritance diagram for ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >:

Collaboration diagram for ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >:

Public Types
using	ShapeMatricesType
using	NodalMatrixType = typename ShapeMatricesType::NodalMatrixType
using	NodalVectorType = typename ShapeMatricesType::NodalVectorType
using	ShapeMatrices = typename ShapeMatricesType::ShapeMatrices
using	HMatricesType = HMatrixPolicyType<ShapeFunction, DisplacementDim>
using	HMatrixType = typename HMatricesType::HMatrixType
using	StiffnessMatrixType = typename HMatricesType::StiffnessMatrixType
using	NodalForceVectorType = typename HMatricesType::NodalForceVectorType
using	NodalDisplacementVectorType
using	ForceVectorType = typename HMatricesType::ForceVectorType
using	GlobalDimVectorType = Eigen::Matrix<double, DisplacementDim, 1>

Public Member Functions
	SmallDeformationLocalAssemblerFracture (SmallDeformationLocalAssemblerFracture const &)=delete
	SmallDeformationLocalAssemblerFracture (SmallDeformationLocalAssemblerFracture &&)=delete
	SmallDeformationLocalAssemblerFracture (MeshLib::Element const &e, std::size_t const n_variables, std::size_t const local_matrix_size, std::vector< unsigned > const &dofIndex_to_localIndex, NumLib::GenericIntegrationMethod const &integration_method, bool const is_axially_symmetric, SmallDeformationProcessData< DisplacementDim > &process_data)
void	assemble (double const, double const, std::vector< double > const &, std::vector< double > const &, std::vector< double > &, std::vector< double > &, std::vector< double > &) override
void	assembleWithJacobian (double const t, double const dt, Eigen::VectorXd const &local_u, Eigen::VectorXd &local_b, Eigen::MatrixXd &local_J) override
void	preTimestepConcrete (std::vector< double > const &, double const, double const) override
void	computeSecondaryVariableConcreteWithVector (const double t, Eigen::VectorXd const &local_u) override
Eigen::Map< const Eigen::RowVectorXd >	getShapeMatrix (const unsigned integration_point) const override
	Provides the shape matrix at the given integration point.
std::vector< double > const &	getIntPtSigma (const double, std::vector< GlobalVector * > const &, std::vector< NumLib::LocalToGlobalIndexMap const * > const &, std::vector< double > &cache) const override
std::vector< double > const &	getIntPtEpsilon (const double, std::vector< GlobalVector * > const &, std::vector< NumLib::LocalToGlobalIndexMap const * > const &, std::vector< double > &cache) const override
std::vector< double > const &	getIntPtFractureStress (const double t, std::vector< GlobalVector * > const &x, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_table, std::vector< double > &cache) const override
std::vector< double > const &	getIntPtFractureAperture (const double t, std::vector< GlobalVector * > const &x, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_table, std::vector< double > &cache) const override
Public Member Functions inherited from ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerInterface
	SmallDeformationLocalAssemblerInterface ()
	SmallDeformationLocalAssemblerInterface (std::size_t n_local_size, std::vector< unsigned > dofIndex_to_localIndex)
void	assembleWithJacobian (double const t, double const dt, std::vector< double > const &local_x_, std::vector< double > const &, std::vector< double > &local_b_data, std::vector< double > &local_Jac_data) override
void	computeSecondaryVariableConcrete (double const t, double const, Eigen::VectorXd const &local_x, Eigen::VectorXd const &) override
Public Member Functions inherited from ProcessLib::LocalAssemblerInterface
virtual	~LocalAssemblerInterface ()=default
virtual void	setInitialConditions (std::size_t const mesh_item_id, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, std::vector< GlobalVector * > const &x, double const t, int const process_id)
virtual void	initialize (std::size_t const mesh_item_id, NumLib::LocalToGlobalIndexMap const &dof_table)
virtual void	preAssemble (double const, double const, std::vector< double > const &)
virtual void	assembleForStaggeredScheme (double const t, double const dt, Eigen::VectorXd const &local_x, Eigen::VectorXd const &local_x_prev, int const process_id, std::vector< double > &local_M_data, std::vector< double > &local_K_data, std::vector< double > &local_b_data)
virtual void	assembleWithJacobianForStaggeredScheme (double const t, double const dt, Eigen::VectorXd const &local_x, Eigen::VectorXd const &local_x_prev, int const process_id, std::vector< double > &local_b_data, std::vector< double > &local_Jac_data)
virtual void	computeSecondaryVariable (std::size_t const mesh_item_id, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, double const t, double const dt, std::vector< GlobalVector * > const &x, GlobalVector const &x_prev, int const process_id)
virtual void	preTimestep (std::size_t const mesh_item_id, NumLib::LocalToGlobalIndexMap const &dof_table, GlobalVector const &x, double const t, double const delta_t)
virtual void	postTimestep (std::size_t const mesh_item_id, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, double const t, double const dt, int const process_id)
void	postNonLinearSolver (std::size_t const mesh_item_id, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, double const t, double const dt, int const process_id)
virtual Eigen::Vector3d	getFlux (MathLib::Point3d const &, double const, std::vector< double > const &) const
virtual Eigen::Vector3d	getFlux (MathLib::Point3d const &, double const, std::vector< std::vector< double > > const &) const
	Fits to staggered scheme.
virtual std::optional< VectorSegment >	getVectorDeformationSegment () const
Public Member Functions inherited from NumLib::ExtrapolatableElement
virtual	~ExtrapolatableElement ()=default

Private Types
using	IntegrationPointDataType

Private Attributes
SmallDeformationProcessData< DisplacementDim > &	_process_data
std::vector< FractureProperty * >	_fracture_props
std::vector< JunctionProperty * >	_junction_props
std::unordered_map< int, int >	_fracID_to_local
FractureProperty const *	_fracture_property = nullptr
std::vector< IntegrationPointDataType, Eigen::aligned_allocator< IntegrationPointDataType > >	_ip_data
NumLib::GenericIntegrationMethod const &	_integration_method
std::vector< ShapeMatrices, Eigen::aligned_allocator< typename ShapeMatricesType::ShapeMatrices > >	_shape_matrices
MeshLib::Element const &	_element
SecondaryData< typename ShapeMatrices::ShapeType >	_secondary_data

Additional Inherited Members

Protected Member Functions inherited from ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerInterface

Member Typedef Documentation

ForceVectorType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::ForceVectorType = typename HMatricesType::ForceVectorType

Definition at line 49 of file SmallDeformationLocalAssemblerFracture.h.

GlobalDimVectorType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::GlobalDimVectorType = Eigen::Matrix<double, DisplacementDim, 1>

Definition at line 50 of file SmallDeformationLocalAssemblerFracture.h.

HMatricesType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::HMatricesType = HMatrixPolicyType<ShapeFunction, DisplacementDim>

Definition at line 41 of file SmallDeformationLocalAssemblerFracture.h.

HMatrixType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::HMatrixType = typename HMatricesType::HMatrixType

Definition at line 43 of file SmallDeformationLocalAssemblerFracture.h.

IntegrationPointDataType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::IntegrationPointDataType

private

Initial value:

 
        IntegrationPointDataFracture<HMatricesType, DisplacementDim>

Definition at line 147 of file SmallDeformationLocalAssemblerFracture.h.

NodalDisplacementVectorType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::NodalDisplacementVectorType

Initial value:

 
        typename HMatricesType::NodalForceVectorType

Definition at line 46 of file SmallDeformationLocalAssemblerFracture.h.

NodalForceVectorType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::NodalForceVectorType = typename HMatricesType::NodalForceVectorType

Definition at line 45 of file SmallDeformationLocalAssemblerFracture.h.

NodalMatrixType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::NodalMatrixType = typename ShapeMatricesType::NodalMatrixType

Definition at line 38 of file SmallDeformationLocalAssemblerFracture.h.

NodalVectorType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::NodalVectorType = typename ShapeMatricesType::NodalVectorType

Definition at line 39 of file SmallDeformationLocalAssemblerFracture.h.

ShapeMatrices

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::ShapeMatrices = typename ShapeMatricesType::ShapeMatrices

Definition at line 40 of file SmallDeformationLocalAssemblerFracture.h.

ShapeMatricesType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::ShapeMatricesType

Initial value:

 
        ShapeMatrixPolicyType<ShapeFunction, DisplacementDim>

Definition at line 36 of file SmallDeformationLocalAssemblerFracture.h.

StiffnessMatrixType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::StiffnessMatrixType = typename HMatricesType::StiffnessMatrixType

Definition at line 44 of file SmallDeformationLocalAssemblerFracture.h.

Constructor & Destructor Documentation

SmallDeformationLocalAssemblerFracture() [1/3]

template<typename ShapeFunction , int DisplacementDim>

ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::SmallDeformationLocalAssemblerFracture ( SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim > const & )

delete

SmallDeformationLocalAssemblerFracture() [2/3]

template<typename ShapeFunction , int DisplacementDim>

ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::SmallDeformationLocalAssemblerFracture ( SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim > && )

delete

SmallDeformationLocalAssemblerFracture() [3/3]

template<typename ShapeFunction , int DisplacementDim>

ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::SmallDeformationLocalAssemblerFracture	(	MeshLib::Element const &	e,
		std::size_t const	n_variables,
		std::size_t const	local_matrix_size,
		std::vector< unsigned > const &	dofIndex_to_localIndex,
		NumLib::GenericIntegrationMethod const &	integration_method,
		bool const	is_axially_symmetric,
		SmallDeformationProcessData< DisplacementDim > &	process_data )

Definition at line 31 of file SmallDeformationLocalAssemblerFracture-impl.h.

    : SmallDeformationLocalAssemblerInterface(
          n_variables * ShapeFunction::NPOINTS * DisplacementDim,
          dofIndex_to_localIndex),
      _process_data(process_data),
      _integration_method(integration_method),
      _shape_matrices(
          NumLib::initShapeMatrices<ShapeFunction, ShapeMatricesType,
                                    DisplacementDim>(e, is_axially_symmetric,
                                                     _integration_method)),
      _element(e)
{
    assert(_element.getDimension() == DisplacementDim - 1);
 
    unsigned const n_integration_points =
        _integration_method.getNumberOfPoints();
 
    _ip_data.reserve(n_integration_points);
    _secondary_data.N.resize(n_integration_points);
 
    auto mat_id = (*_process_data.mesh_prop_materialIDs)[e.getID()];
    auto frac_id = _process_data.map_materialID_to_fractureID[mat_id];
    _fracture_property = &_process_data.fracture_properties[frac_id];
    for (auto fid : process_data.vec_ele_connected_fractureIDs[e.getID()])
    {
        _fracID_to_local.insert({fid, _fracture_props.size()});
        _fracture_props.push_back(&_process_data.fracture_properties[fid]);
    }
 
    _junction_props = process_data.vec_ele_connected_junctionIDs[e.getID()] |
                      ranges::views::transform(
                          [&](auto const jid)
                          { return &_process_data.junction_properties[jid]; }) |
                      ranges::to<std::vector>;
 
    for (unsigned ip = 0; ip < n_integration_points; ip++)
    {
        _ip_data.emplace_back(*_process_data.fracture_model);
        auto const& sm = _shape_matrices[ip];
        auto& ip_data = _ip_data[ip];
 
        ParameterLib::SpatialPosition const x_position{
            std::nullopt, _element.getID(),
            MathLib::Point3d(NumLib::interpolateCoordinates<ShapeFunction,
                                                            ShapeMatricesType>(
                _element, sm.N))};
 
        ip_data.integration_weight =
            _integration_method.getWeightedPoint(ip).getWeight() *
            sm.integralMeasure * sm.detJ;
        ip_data.h_matrices.setZero(DisplacementDim,
                                   ShapeFunction::NPOINTS * DisplacementDim);
 
        computeHMatrix<DisplacementDim, ShapeFunction::NPOINTS,
                       typename ShapeMatricesType::NodalRowVectorType,
                       HMatrixType>(sm.N, ip_data.h_matrices);
 
        // Initialize current time step values
        ip_data.w.setZero(DisplacementDim);
        ip_data.sigma.setZero(DisplacementDim);
 
        // Previous time step values are not initialized and are set later.
        ip_data.sigma_prev.resize(DisplacementDim);
        ip_data.w_prev.resize(DisplacementDim);
 
        ip_data.C.resize(DisplacementDim, DisplacementDim);
 
        ip_data.aperture0 = _fracture_property->aperture0(0, x_position)[0];
        ip_data.aperture_prev = ip_data.aperture0;
 
        _secondary_data.N[ip] = sm.N;
    }
}

References ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_element, ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_fracID_to_local, ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_fracture_property, ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_fracture_props, ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_integration_method, ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_ip_data, ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_junction_props, ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_process_data, ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_secondary_data, ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_shape_matrices, ProcessLib::LIE::FractureProperty::aperture0, ProcessLib::computeHMatrix(), MeshLib::Element::getDimension(), MeshLib::Element::getID(), NumLib::GenericIntegrationMethod::getNumberOfPoints(), MathLib::WeightedPoint::getWeight(), NumLib::GenericIntegrationMethod::getWeightedPoint(), NumLib::interpolateCoordinates(), ProcessLib::LIE::SmallDeformation::SecondaryData< ShapeMatrixType >::N, ProcessLib::LIE::SmallDeformation::SmallDeformationProcessData< DisplacementDim >::vec_ele_connected_fractureIDs, and ProcessLib::LIE::SmallDeformation::SmallDeformationProcessData< DisplacementDim >::vec_ele_connected_junctionIDs.

Member Function Documentation

assemble()

template<typename ShapeFunction , int DisplacementDim>

void ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::assemble ( double const , double const , std::vector< double > const & , std::vector< double > const & , std::vector< double > & , std::vector< double > & , std::vector< double > &  )

inlineoverridevirtual

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 66 of file SmallDeformationLocalAssemblerFracture.h.

    {
        OGS_FATAL(
            "SmallDeformationLocalAssembler: assembly without jacobian is not "
            "implemented.");
    }

References OGS_FATAL.

assembleWithJacobian()

template<typename ShapeFunction , int DisplacementDim>

void ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::assembleWithJacobian ( double const t, double const dt, Eigen::VectorXd const & local_u, Eigen::VectorXd & local_b, Eigen::MatrixXd & local_J )

overridevirtual

Reimplemented from ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerInterface.

Definition at line 114 of file SmallDeformationLocalAssemblerFracture-impl.h.

{
    auto const N_DOF_PER_VAR = ShapeFunction::NPOINTS * DisplacementDim;
    auto const n_fractures = _fracture_props.size();
    auto const n_junctions = _junction_props.size();
    auto const n_enrich_var = n_fractures + n_junctions;
 
    //--------------------------------------------------------------------------------------
    // prepare sub vectors, matrices for regular displacement (u) and
    // displacement jumps (g)
    //
    // example with two fractures with one intersection:
    // b = |b(g1)|
    //     |b(g2)|
    //
    // J = |J(g1,g1) J(g1,g2)|
    //     |J(g2,g1) J(g2,g2)|
    //--------------------------------------------------------------------------------------
 
    using BlockVectorType =
        typename Eigen::VectorXd::FixedSegmentReturnType<N_DOF_PER_VAR>::Type;
    using BlockMatrixType =
        Eigen::Block<Eigen::MatrixXd, N_DOF_PER_VAR, N_DOF_PER_VAR>;
 
    std::vector<BlockVectorType> vec_local_b_g;
    for (unsigned i = 0; i < n_enrich_var; i++)
    {
        vec_local_b_g.push_back(
            local_b.segment<N_DOF_PER_VAR>(N_DOF_PER_VAR * i));
    }
    std::vector<std::vector<BlockMatrixType>> vec_local_J_gg(n_enrich_var);
    for (unsigned i = 0; i < n_enrich_var; i++)
    {
        for (unsigned j = 0; j < n_enrich_var; j++)
        {
            auto sub_gg = local_J.block<N_DOF_PER_VAR, N_DOF_PER_VAR>(
                N_DOF_PER_VAR * i, N_DOF_PER_VAR * j);
            vec_local_J_gg[i].push_back(sub_gg);
        }
    }
 
    std::vector<Eigen::VectorXd> vec_nodal_g;
    for (unsigned i = 0; i < n_enrich_var; i++)
    {
        auto sub = const_cast<Eigen::VectorXd&>(local_u).segment<N_DOF_PER_VAR>(
            N_DOF_PER_VAR * i);
        vec_nodal_g.push_back(sub);
    }
 
    //------------------------------------------------
    // integration
    //------------------------------------------------
    // the index of a normal (normal to a fracture plane) component
    // in a displacement vector
    int const index_normal = DisplacementDim - 1;
    auto const& R = _fracture_property->R;
 
    unsigned const n_integration_points =
        _integration_method.getNumberOfPoints();
 
    ParameterLib::SpatialPosition x_position;
    x_position.setElementID(_element.getID());
 
    for (unsigned ip = 0; ip < n_integration_points; ip++)
    {
        auto& ip_data = _ip_data[ip];
        auto const& integration_weight = ip_data.integration_weight;
        auto const& H = ip_data.h_matrices;
        auto& mat = ip_data.fracture_material;
        auto& sigma = ip_data.sigma;
        auto const& sigma_prev = ip_data.sigma_prev;
        auto& w = ip_data.w;
        auto const& w_prev = ip_data.w_prev;
        auto& C = ip_data.C;
        auto& state = *ip_data.material_state_variables;
        auto const& N = _secondary_data.N[ip];
 
        auto const ip_physical_coords(computePhysicalCoordinates(_element, N));
        std::vector<double> const levelsets(duGlobalEnrichments(
            _fracture_property->fracture_id, _fracture_props, _junction_props,
            _fracID_to_local, ip_physical_coords));
 
        // du = du^hat + sum_i(enrich^br_i(x) * [u]_i) + sum_i(enrich^junc_i(x)
        // * [u]_i)
        Eigen::VectorXd nodal_gap(N_DOF_PER_VAR);
        nodal_gap.setZero();
        for (unsigned i = 0; i < n_enrich_var; i++)
        {
            nodal_gap += levelsets[i] * vec_nodal_g[i];
        }
 
        // displacement jumps
        w.noalias() = R * H * nodal_gap;
 
        // total aperture
        ip_data.aperture = ip_data.aperture0 + w[index_normal];
 
        // local C, local stress
        mat.computeConstitutiveRelation(
            t, x_position, ip_data.aperture0,
            Eigen::Matrix<double, DisplacementDim, 1>::Zero(),  // TODO (naumov)
                                                                // Replace with
                                                                // initial
                                                                // stress values
            w_prev, w, sigma_prev, sigma, C, state);
 
        // r_[u] += H^T*Stress
        for (unsigned i = 0; i < n_enrich_var; i++)
        {
            vec_local_b_g[i].noalias() -= levelsets[i] * H.transpose() *
                                          R.transpose() * sigma *
                                          integration_weight;
        }
 
        // J_[u][u] += H^T*C*H
        for (unsigned i = 0; i < n_enrich_var; i++)
        {
            for (unsigned j = 0; j < n_enrich_var; j++)
            {
                // J_[u][u] += (levelset * B)^T * C * (levelset * B)
                vec_local_J_gg[i][j].noalias() +=
                    (levelsets[i] * H.transpose() * R.transpose()) * C *
                    (levelsets[j] * R * H) * integration_weight;
            }
        }
    }
}

References ProcessLib::LIE::computePhysicalCoordinates(), ProcessLib::LIE::duGlobalEnrichments(), and ParameterLib::SpatialPosition::setElementID().

computeSecondaryVariableConcreteWithVector()

template<typename ShapeFunction , int DisplacementDim>

void ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::computeSecondaryVariableConcreteWithVector ( const double t, Eigen::VectorXd const & local_u )

overridevirtual

Implements ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerInterface.

Definition at line 246 of file SmallDeformationLocalAssemblerFracture-impl.h.

{
    auto const N_DOF_PER_VAR = ShapeFunction::NPOINTS * DisplacementDim;
    auto const n_fractures = _fracture_props.size();
    auto const n_junctions = _junction_props.size();
    auto const n_enrich_var = n_fractures + n_junctions;
 
    auto const& R = _fracture_property->R;
 
    // the index of a normal (normal to a fracture plane) component
    // in a displacement vector
    int const index_normal = DisplacementDim - 1;
 
    unsigned const n_integration_points =
        _integration_method.getNumberOfPoints();
 
    ParameterLib::SpatialPosition x_position;
    auto const e_id = _element.getID();
    x_position.setElementID(e_id);
 
    std::vector<Eigen::VectorXd> vec_nodal_g;
    for (unsigned i = 0; i < n_enrich_var; i++)
    {
        auto sub = const_cast<Eigen::VectorXd&>(local_u).segment<N_DOF_PER_VAR>(
            N_DOF_PER_VAR * i);
        vec_nodal_g.push_back(sub);
    }
 
    for (unsigned ip = 0; ip < n_integration_points; ip++)
    {
        auto& ip_data = _ip_data[ip];
        auto const& H = ip_data.h_matrices;
        auto& mat = ip_data.fracture_material;
        auto& sigma = ip_data.sigma;
        auto const& sigma_prev = ip_data.sigma_prev;
        auto& w = ip_data.w;
        auto const& w_prev = ip_data.w_prev;
        auto& C = ip_data.C;
        auto& state = *ip_data.material_state_variables;
        auto& b_m = ip_data.aperture;
        auto const& N = _secondary_data.N[ip];
 
        auto const ip_physical_coords(computePhysicalCoordinates(_element, N));
        std::vector<double> const levelsets(duGlobalEnrichments(
            _fracture_property->fracture_id, _fracture_props, _junction_props,
            _fracID_to_local, ip_physical_coords));
 
        // du = du^hat + sum_i(enrich^br_i(x) * [u]_i) + sum_i(enrich^junc_i(x)
        // * [u]_i)
        Eigen::VectorXd nodal_gap(N_DOF_PER_VAR);
        nodal_gap.setZero();
        for (unsigned i = 0; i < n_enrich_var; i++)
        {
            nodal_gap += levelsets[i] * vec_nodal_g[i];
        }
 
        // displacement jumps in local coordinates
        w.noalias() = R * H * nodal_gap;
 
        // aperture
        b_m = ip_data.aperture0 + w[index_normal];
        if (b_m < 0.0)
        {
            OGS_FATAL(
                "Element {:d}, gp {:d}: Fracture aperture is {:g}, but it must "
                "be non-negative.",
                _element.getID(), ip, b_m);
        }
 
        // local C, local stress
        mat.computeConstitutiveRelation(
            t, x_position, ip_data.aperture0,
            Eigen::Matrix<double, DisplacementDim, 1>::Zero(),  // TODO (naumov)
                                                                // Replace with
                                                                // initial
                                                                // stress values
            w_prev, w, sigma_prev, sigma, C, state);
    }
 
    double ele_b = 0;
    ForceVectorType ele_sigma = ForceVectorType::Zero(DisplacementDim);
    ForceVectorType ele_w = ForceVectorType::Zero(DisplacementDim);
 
    for (unsigned ip = 0; ip < n_integration_points; ip++)
    {
        auto const& ip_data = _ip_data[ip];
        ele_b += ip_data.aperture;
        ele_w += ip_data.w;
        ele_sigma += ip_data.sigma;
    }
    ele_b /= n_integration_points;
    ele_w /= n_integration_points;
    ele_sigma /= n_integration_points;
    (*_process_data.mesh_prop_b)[_element.getID()] = ele_b;
 
    Eigen::Map<GlobalDimVectorType>(
        &(*_process_data.element_fracture_stresses)[e_id * DisplacementDim]) =
        ele_sigma;
 
    Eigen::Map<GlobalDimVectorType>(
        &(*_process_data.element_local_jumps)[e_id * DisplacementDim]) = ele_w;
}

References ProcessLib::LIE::computePhysicalCoordinates(), ProcessLib::LIE::duGlobalEnrichments(), OGS_FATAL, and ParameterLib::SpatialPosition::setElementID().

getIntPtEpsilon()

template<typename ShapeFunction , int DisplacementDim>

std::vector< double > const & ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::getIntPtEpsilon ( const double , std::vector< GlobalVector * > const & , std::vector< NumLib::LocalToGlobalIndexMap const * > const & , std::vector< double > & cache ) const

inlineoverridevirtual

Implements ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerInterface.

Definition at line 118 of file SmallDeformationLocalAssemblerFracture.h.

    {
        cache.resize(0);
        return cache;
    }

getIntPtFractureAperture()

template<typename ShapeFunction , int DisplacementDim>

std::vector< double > const & ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::getIntPtFractureAperture ( const double t, std::vector< GlobalVector * > const & x, std::vector< NumLib::LocalToGlobalIndexMap const * > const & dof_table, std::vector< double > & cache ) const

overridevirtual

Implements ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerInterface.

Definition at line 376 of file SmallDeformationLocalAssemblerFracture-impl.h.

{
    return ProcessLib::getIntegrationPointScalarData(
        _ip_data, &IntegrationPointDataType::aperture, cache);
}

References ProcessLib::getIntegrationPointScalarData().

getIntPtFractureStress()

template<typename ShapeFunction , int DisplacementDim>

std::vector< double > const & ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::getIntPtFractureStress ( const double t, std::vector< GlobalVector * > const & x, std::vector< NumLib::LocalToGlobalIndexMap const * > const & dof_table, std::vector< double > & cache ) const

overridevirtual

Implements ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerInterface.

Definition at line 353 of file SmallDeformationLocalAssemblerFracture-impl.h.

{
    unsigned const n_integration_points = _ip_data.size();
    cache.clear();
    auto cache_matrix = MathLib::createZeroedMatrix<Eigen::Matrix<
        double, DisplacementDim, Eigen::Dynamic, Eigen::RowMajor>>(
        cache, DisplacementDim, n_integration_points);
 
    for (unsigned ip = 0; ip < n_integration_points; ip++)
    {
        cache_matrix.col(ip).noalias() = _ip_data[ip].sigma;
    }
 
    return cache;
}

References MathLib::createZeroedMatrix().

getIntPtSigma()

template<typename ShapeFunction , int DisplacementDim>

std::vector< double > const & ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::getIntPtSigma ( const double , std::vector< GlobalVector * > const & , std::vector< NumLib::LocalToGlobalIndexMap const * > const & , std::vector< double > & cache ) const

inlineoverridevirtual

Implements ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerInterface.

Definition at line 108 of file SmallDeformationLocalAssemblerFracture.h.

    {
        cache.resize(0);
        return cache;
    }

getShapeMatrix()

template<typename ShapeFunction , int DisplacementDim>

Eigen::Map< const Eigen::RowVectorXd > ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::getShapeMatrix ( const unsigned integration_point ) const

inlineoverridevirtual

Provides the shape matrix at the given integration point.

Implements NumLib::ExtrapolatableElement.

Definition at line 99 of file SmallDeformationLocalAssemblerFracture.h.

    {
        auto const& N = _secondary_data.N[integration_point];
 
        // assumes N is stored contiguously in memory
        return Eigen::Map<const Eigen::RowVectorXd>(N.data(), N.size());
    }

References ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_secondary_data, and ProcessLib::LIE::SmallDeformation::SecondaryData< ShapeMatrixType >::N.

preTimestepConcrete()

template<typename ShapeFunction , int DisplacementDim>

void ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::preTimestepConcrete ( std::vector< double > const & , double const , double const  )

inlineoverridevirtual

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 83 of file SmallDeformationLocalAssemblerFracture.h.

    {
        unsigned const n_integration_points =
            _integration_method.getNumberOfPoints();
 
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            _ip_data[ip].pushBackState();
        }
    }

References ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_integration_method, ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_ip_data, and NumLib::GenericIntegrationMethod::getNumberOfPoints().

Member Data Documentation

_element

template<typename ShapeFunction , int DisplacementDim>

MeshLib::Element const& ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_element

private

Definition at line 157 of file SmallDeformationLocalAssemblerFracture.h.

Referenced by ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::SmallDeformationLocalAssemblerFracture().

_fracID_to_local

template<typename ShapeFunction , int DisplacementDim>

std::unordered_map<int, int> ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_fracID_to_local

private

Definition at line 144 of file SmallDeformationLocalAssemblerFracture.h.

Referenced by ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::SmallDeformationLocalAssemblerFracture().

_fracture_property

template<typename ShapeFunction , int DisplacementDim>

FractureProperty const* ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_fracture_property = nullptr

private

Definition at line 145 of file SmallDeformationLocalAssemblerFracture.h.

Referenced by ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::SmallDeformationLocalAssemblerFracture().

_fracture_props

template<typename ShapeFunction , int DisplacementDim>

std::vector<FractureProperty*> ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_fracture_props

private

Definition at line 142 of file SmallDeformationLocalAssemblerFracture.h.

Referenced by ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::SmallDeformationLocalAssemblerFracture().

_integration_method

template<typename ShapeFunction , int DisplacementDim>

NumLib::GenericIntegrationMethod const& ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_integration_method

private

Definition at line 153 of file SmallDeformationLocalAssemblerFracture.h.

Referenced by ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::SmallDeformationLocalAssemblerFracture(), and ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::preTimestepConcrete().

_ip_data

template<typename ShapeFunction , int DisplacementDim>

std::vector<IntegrationPointDataType, Eigen::aligned_allocator<IntegrationPointDataType> > ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_ip_data

private

Definition at line 151 of file SmallDeformationLocalAssemblerFracture.h.

Referenced by ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::SmallDeformationLocalAssemblerFracture(), and ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::preTimestepConcrete().

_junction_props

template<typename ShapeFunction , int DisplacementDim>

std::vector<JunctionProperty*> ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_junction_props

private

Definition at line 143 of file SmallDeformationLocalAssemblerFracture.h.

Referenced by ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::SmallDeformationLocalAssemblerFracture().

_process_data

template<typename ShapeFunction , int DisplacementDim>

SmallDeformationProcessData<DisplacementDim>& ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_process_data

private

Definition at line 141 of file SmallDeformationLocalAssemblerFracture.h.

Referenced by ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::SmallDeformationLocalAssemblerFracture().

_secondary_data

template<typename ShapeFunction , int DisplacementDim>

SecondaryData<typename ShapeMatrices::ShapeType> ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_secondary_data

private

Definition at line 158 of file SmallDeformationLocalAssemblerFracture.h.

Referenced by ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::SmallDeformationLocalAssemblerFracture(), and ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::getShapeMatrix().

_shape_matrices

template<typename ShapeFunction , int DisplacementDim>

std::vector<ShapeMatrices, Eigen::aligned_allocator< typename ShapeMatricesType::ShapeMatrices> > ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::_shape_matrices

private

Definition at line 156 of file SmallDeformationLocalAssemblerFracture.h.

Referenced by ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerFracture< ShapeFunction, DisplacementDim >::SmallDeformationLocalAssemblerFracture().

---

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

• ProcessLib/LIE/SmallDeformation/LocalAssembler/SmallDeformationLocalAssemblerFracture.h
• ProcessLib/LIE/SmallDeformation/LocalAssembler/SmallDeformationLocalAssemblerFracture-impl.h