ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim > Class Template Reference

Detailed Description

template<typename ShapeFunction, int DisplacementDim>
class ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >

Definition at line 79 of file LargeDeformationFEM.h.

#include <LargeDeformationFEM.h>

Inheritance diagram for ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >:

Collaboration diagram for ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >:

Public Types
using	ShapeMatricesType
using	NodalMatrixType = typename ShapeMatricesType::NodalMatrixType
using	NodalVectorType = typename ShapeMatricesType::NodalVectorType
using	ShapeMatrices = typename ShapeMatricesType::ShapeMatrices
using	BMatricesType = BMatrixPolicyType<ShapeFunction, DisplacementDim>
using	BMatrixType = typename BMatricesType::BMatrixType
using	StiffnessMatrixType = typename BMatricesType::StiffnessMatrixType
using	NodalForceVectorType = typename BMatricesType::NodalForceVectorType
using	NodalDisplacementVectorType
using	GMatricesType = GMatrixPolicyType<ShapeFunction, DisplacementDim>
using	GradientVectorType = typename GMatricesType::GradientVectorType
using	GradientMatrixType = typename GMatricesType::GradientMatrixType
using	IpData

Public Member Functions
	LargeDeformationLocalAssembler (LargeDeformationLocalAssembler const &)=delete
	LargeDeformationLocalAssembler (LargeDeformationLocalAssembler &&)=delete
	LargeDeformationLocalAssembler (MeshLib::Element const &e, std::size_t const, NumLib::GenericIntegrationMethod const &integration_method, bool const is_axially_symmetric, LargeDeformationProcessData< DisplacementDim > &process_data)
void	initializeConcrete () override
ConstitutiveRelations::ConstitutiveData< DisplacementDim >	updateConstitutiveRelations (BMatrixType const &B, GradientMatrixType const &G, GradientVectorType const &grad_u, Eigen::Ref< Eigen::VectorXd const > const &u, Eigen::Ref< Eigen::VectorXd const > const &u_prev, ParameterLib::SpatialPosition const &x_position, double const t, double const dt, typename ConstitutiveRelations::ConstitutiveSetting< DisplacementDim > &CS, MaterialPropertyLib::Medium const &medium, typename ConstitutiveRelations::StatefulData< DisplacementDim > &current_state, typename ConstitutiveRelations::StatefulDataPrev< DisplacementDim > const &prev_state, MaterialStateData< DisplacementDim > &material_state, typename ConstitutiveRelations::OutputData< DisplacementDim > &output_data) const
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, std::vector< double > const &local_x, std::vector< double > const &local_x_prev, std::vector< double > &local_b_data, std::vector< double > &local_Jac_data) override
void	postTimestepConcrete (Eigen::VectorXd const &local_x, Eigen::VectorXd const &local_x_prev, double const t, double const dt, int const) override
Eigen::Map< const Eigen::RowVectorXd >	getShapeMatrix (const unsigned integration_point) const override
	Provides the shape matrix at the given integration point.
Public Member Functions inherited from ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >
	LargeDeformationLocalAssemblerInterface (MeshLib::Element const &e, NumLib::GenericIntegrationMethod const &integration_method, bool const is_axially_symmetric, LargeDeformationProcessData< DisplacementDim > &process_data)
std::size_t	setIPDataInitialConditions (std::string_view name, double const *values, int const integration_order)
	Returns number of read integration points.
unsigned	getNumberOfIntegrationPoints () const
int	getMaterialID () const
std::vector< double >	getMaterialStateVariableInternalState (std::function< std::span< double >(typename MaterialLib::Solids::MechanicsBase< DisplacementDim >::MaterialStateVariables &)> const &get_values_span, int const &n_components) const
MaterialLib::Solids::MechanicsBase< DisplacementDim >::MaterialStateVariables const &	getMaterialStateVariablesAt (unsigned integration_point) const
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.
Public Member Functions inherited from NumLib::ExtrapolatableElement
virtual	~ExtrapolatableElement ()=default

Static Public Attributes
static constexpr auto &	N_u_op

Static Private Member Functions
static constexpr auto	localDOF (std::vector< double > const &x)

Private Attributes
std::vector< IpData, Eigen::aligned_allocator< IpData > >	_ip_data
SecondaryData< typename ShapeMatrices::ShapeType >	_secondary_data

Static Private Attributes
static const int	displacement_size

Additional Inherited Members
Static Public Member Functions inherited from ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >
static auto	getReflectionDataForOutput ()
Protected Attributes inherited from ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >
LargeDeformationProcessData< DisplacementDim > &	process_data_
std::vector< MaterialStateData< DisplacementDim > >	material_states_
std::vector< typename ConstitutiveRelations::StatefulData< DisplacementDim > >	current_states_
std::vector< typename ConstitutiveRelations::StatefulDataPrev< DisplacementDim > >	prev_states_
std::vector< typename ConstitutiveRelations::OutputData< DisplacementDim > >	output_data_
NumLib::GenericIntegrationMethod const &	integration_method_
MeshLib::Element const &	element_
bool const	is_axially_symmetric_
ConstitutiveRelations::SolidConstitutiveRelation< DisplacementDim > const &	solid_material_

Member Typedef Documentation

BMatricesType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::BMatricesType = BMatrixPolicyType<ShapeFunction, DisplacementDim>

Definition at line 88 of file LargeDeformationFEM.h.

BMatrixType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::BMatrixType = typename BMatricesType::BMatrixType

Definition at line 90 of file LargeDeformationFEM.h.

GMatricesType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::GMatricesType = GMatrixPolicyType<ShapeFunction, DisplacementDim>

Definition at line 96 of file LargeDeformationFEM.h.

GradientMatrixType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::GradientMatrixType = typename GMatricesType::GradientMatrixType

Definition at line 98 of file LargeDeformationFEM.h.

GradientVectorType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::GradientVectorType = typename GMatricesType::GradientVectorType

Definition at line 97 of file LargeDeformationFEM.h.

IpData

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::IpData

Initial value:

 
        IntegrationPointData<BMatricesType, ShapeMatricesType, DisplacementDim>

Definition at line 99 of file LargeDeformationFEM.h.

NodalDisplacementVectorType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::NodalDisplacementVectorType

Initial value:

 
        typename BMatricesType::NodalForceVectorType

Definition at line 93 of file LargeDeformationFEM.h.

NodalForceVectorType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::NodalForceVectorType = typename BMatricesType::NodalForceVectorType

Definition at line 92 of file LargeDeformationFEM.h.

NodalMatrixType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::NodalMatrixType = typename ShapeMatricesType::NodalMatrixType

Definition at line 85 of file LargeDeformationFEM.h.

NodalVectorType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::NodalVectorType = typename ShapeMatricesType::NodalVectorType

Definition at line 86 of file LargeDeformationFEM.h.

ShapeMatrices

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::ShapeMatrices = typename ShapeMatricesType::ShapeMatrices

Definition at line 87 of file LargeDeformationFEM.h.

ShapeMatricesType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::ShapeMatricesType

Initial value:

 
        ShapeMatrixPolicyType<ShapeFunction, DisplacementDim>

Definition at line 83 of file LargeDeformationFEM.h.

StiffnessMatrixType

template<typename ShapeFunction , int DisplacementDim>

using ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::StiffnessMatrixType = typename BMatricesType::StiffnessMatrixType

Definition at line 91 of file LargeDeformationFEM.h.

Constructor & Destructor Documentation

LargeDeformationLocalAssembler() [1/3]

template<typename ShapeFunction , int DisplacementDim>

ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::LargeDeformationLocalAssembler ( LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim > const & )

delete

LargeDeformationLocalAssembler() [2/3]

template<typename ShapeFunction , int DisplacementDim>

ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::LargeDeformationLocalAssembler ( LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim > && )

delete

LargeDeformationLocalAssembler() [3/3]

template<typename ShapeFunction , int DisplacementDim>

ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::LargeDeformationLocalAssembler ( MeshLib::Element const & e, std::size_t const , NumLib::GenericIntegrationMethod const & integration_method, bool const is_axially_symmetric, LargeDeformationProcessData< DisplacementDim > & process_data )

inline

Definition at line 109 of file LargeDeformationFEM.h.

        : LargeDeformationLocalAssemblerInterface<DisplacementDim>(
              e, integration_method, is_axially_symmetric, process_data)
    {
        unsigned const n_integration_points =
            this->integration_method_.getNumberOfPoints();
 
        _ip_data.resize(n_integration_points);
        _secondary_data.N.resize(n_integration_points);
 
        auto const shape_matrices =
            NumLib::initShapeMatrices<ShapeFunction, ShapeMatricesType,
                                      DisplacementDim>(
                e, is_axially_symmetric, this->integration_method_);
 
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            auto& ip_data = _ip_data[ip];
            auto const& sm = shape_matrices[ip];
            _ip_data[ip].integration_weight =
                this->integration_method_.getWeightedPoint(ip).getWeight() *
                sm.integralMeasure * sm.detJ;
 
            ip_data.N = sm.N;
            ip_data.dNdx = sm.dNdx;
 
            _secondary_data.N[ip] = shape_matrices[ip].N;
        }
    }

References ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::_ip_data, ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::_secondary_data, NumLib::GenericIntegrationMethod::getNumberOfPoints(), MathLib::WeightedPoint::getWeight(), NumLib::GenericIntegrationMethod::getWeightedPoint(), NumLib::initShapeMatrices(), ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::integration_method_, and ProcessLib::LargeDeformation::SecondaryData< ShapeMatrixType >::N.

Member Function Documentation

assemble()

template<typename ShapeFunction , int DisplacementDim>

void ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< 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 230 of file LargeDeformationFEM.h.

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

References OGS_FATAL.

assembleWithJacobian()

template<typename ShapeFunction , int DisplacementDim>

void ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobian ( double const t, double const dt, std::vector< double > const & local_x, std::vector< double > const & local_x_prev, std::vector< double > & local_b_data, std::vector< double > & local_Jac_data )

inlineoverridevirtual

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 242 of file LargeDeformationFEM.h.

    {
        auto const local_matrix_size = local_x.size();
 
        auto local_Jac = MathLib::createZeroedMatrix<StiffnessMatrixType>(
            local_Jac_data, local_matrix_size, local_matrix_size);
 
        auto local_b = MathLib::createZeroedVector<NodalDisplacementVectorType>(
            local_b_data, local_matrix_size);
 
        auto [u] = localDOF(local_x);
        auto [u_prev] = localDOF(local_x_prev);
 
        unsigned const n_integration_points =
            this->integration_method_.getNumberOfPoints();
 
        ParameterLib::SpatialPosition x_position;
        x_position.setElementID(this->element_.getID());
 
        typename ConstitutiveRelations::ConstitutiveSetting<DisplacementDim>
            constitutive_setting;
        auto const& medium =
            *this->process_data_.media_map.getMedium(this->element_.getID());
 
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            x_position.setIntegrationPoint(ip);
            auto const& w = _ip_data[ip].integration_weight;
            auto const& N = _ip_data[ip].N;
            auto const& dNdx = _ip_data[ip].dNdx;
 
            auto const x_coord =
                NumLib::interpolateXCoordinate<ShapeFunction,
                                               ShapeMatricesType>(
                    this->element_, N);
 
            // For the 2D case the 33-component is needed (and the four entries
            // of the non-symmetric matrix); In 3d there are nine entries.
            GradientMatrixType G(DisplacementDim * DisplacementDim +
                                     (DisplacementDim == 2 ? 1 : 0),
                                 ShapeFunction::NPOINTS * DisplacementDim);
            Deformation::computeGMatrix<DisplacementDim,
                                        ShapeFunction::NPOINTS>(
                dNdx, G, this->is_axially_symmetric_, N, x_coord);
 
            GradientVectorType const grad_u = G * u;
 
            auto const B_0 = LinearBMatrix::computeBMatrix<
                DisplacementDim, ShapeFunction::NPOINTS,
                typename BMatricesType::BMatrixType>(
                dNdx, N, x_coord, this->is_axially_symmetric_);
 
            auto const B_N = NonLinearBMatrix::computeBMatrix<
                DisplacementDim, ShapeFunction::NPOINTS,
                typename BMatricesType::BMatrixType>(
                dNdx, N, grad_u, x_coord, this->is_axially_symmetric_);
 
            auto const CD = updateConstitutiveRelations(
                B_0 + 0.5 * B_N, G, grad_u, u, u_prev, x_position, t, dt,
                constitutive_setting, medium, this->current_states_[ip],
                this->prev_states_[ip], this->material_states_[ip],
                this->output_data_[ip]);
 
            auto const B = B_0 + B_N;
 
            auto const& sigma = this->current_states_[ip].stress_data.sigma;
            auto const& b = *CD.volumetric_body_force;
            auto const& C = CD.s_mech_data.stiffness_tensor;
 
            local_b.noalias() -=
                (B.transpose() * sigma - N_u_op(N).transpose() * b) * w;
 
            auto const sigma_geom =
                computeSigmaGeom<DisplacementDim, ShapeMatricesType>(
                    MathLib::KelvinVector::kelvinVectorToTensor(sigma));
 
            local_Jac.noalias() += G.transpose() * sigma_geom * G * w;
 
            local_Jac.noalias() += B.transpose() * C * B * w;
        }
    }

References ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::_ip_data, ProcessLib::LinearBMatrix::computeBMatrix(), ProcessLib::NonLinearBMatrix::computeBMatrix(), ProcessLib::Deformation::computeGMatrix(), ProcessLib::LargeDeformation::computeSigmaGeom(), MathLib::createZeroedMatrix(), MathLib::createZeroedVector(), ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::current_states_, ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::element_, MeshLib::Element::getID(), NumLib::GenericIntegrationMethod::getNumberOfPoints(), ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::integration_method_, NumLib::interpolateXCoordinate(), ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::is_axially_symmetric_, MathLib::KelvinVector::kelvinVectorToTensor(), ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::localDOF(), ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::material_states_, ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::N_u_op, ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::output_data_, ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::prev_states_, ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::process_data_, ParameterLib::SpatialPosition::setElementID(), ParameterLib::SpatialPosition::setIntegrationPoint(), and ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::updateConstitutiveRelations().

getShapeMatrix()

template<typename ShapeFunction , int DisplacementDim>

Eigen::Map< const Eigen::RowVectorXd > ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::getShapeMatrix ( const unsigned integration_point ) const

inlineoverridevirtual

Provides the shape matrix at the given integration point.

Implements NumLib::ExtrapolatableElement.

Definition at line 393 of file LargeDeformationFEM.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::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::_secondary_data, and ProcessLib::LargeDeformation::SecondaryData< ShapeMatrixType >::N.

initializeConcrete()

template<typename ShapeFunction , int DisplacementDim>

void ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::initializeConcrete ( )

inlineoverridevirtual

Set initial stress from parameter.

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 144 of file LargeDeformationFEM.h.

    {
        unsigned const n_integration_points =
            this->integration_method_.getNumberOfPoints();
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            auto const& ip_data = _ip_data[ip];
 
            ParameterLib::SpatialPosition const x_position{
                std::nullopt, this->element_.getID(), ip,
                MathLib::Point3d(
                    NumLib::interpolateCoordinates<ShapeFunction,
                                                   ShapeMatricesType>(
                        this->element_, ip_data.N))};
 
            if (this->process_data_.initial_stress != nullptr)
            {
                this->current_states_[ip].stress_data.sigma.noalias() =
                    MathLib::KelvinVector::symmetricTensorToKelvinVector<
                        DisplacementDim>((*this->process_data_.initial_stress)(
                        std::numeric_limits<
                            double>::quiet_NaN() /* time independent */,
                        x_position));
            }
 
            double const t = 0;  // TODO (naumov) pass t from top
            auto& material_state = this->material_states_[ip];
            this->solid_material_.initializeInternalStateVariables(
                t, x_position, *material_state.material_state_variables);
 
            material_state.pushBackState();
            this->prev_states_[ip] = this->current_states_[ip];
        }
    }

References ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::_ip_data, ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::current_states_, ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::element_, MeshLib::Element::getID(), NumLib::GenericIntegrationMethod::getNumberOfPoints(), ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::integration_method_, NumLib::interpolateCoordinates(), ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::material_states_, ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::prev_states_, ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::process_data_, ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::solid_material_, and MathLib::KelvinVector::symmetricTensorToKelvinVector().

localDOF()

template<typename ShapeFunction , int DisplacementDim>

static constexpr auto ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::localDOF ( std::vector< double > const & x )

inlinestaticconstexprprivate

Definition at line 403 of file LargeDeformationFEM.h.

    {
        return NumLib::localDOF<
            NumLib::Vectorial<ShapeFunction, DisplacementDim>>(x);
    }

References NumLib::localDOF().

Referenced by ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobian().

postTimestepConcrete()

template<typename ShapeFunction , int DisplacementDim>

void ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::postTimestepConcrete ( Eigen::VectorXd const & local_x, Eigen::VectorXd const & local_x_prev, double const t, double const dt, int const  )

inlineoverridevirtual

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 328 of file LargeDeformationFEM.h.

    {
        unsigned const n_integration_points =
            this->integration_method_.getNumberOfPoints();
 
        ParameterLib::SpatialPosition x_position;
        x_position.setElementID(this->element_.getID());
 
        typename ConstitutiveRelations::ConstitutiveSetting<DisplacementDim>
            constitutive_setting;
 
        auto& medium =
            *this->process_data_.media_map.getMedium(this->element_.getID());
 
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            x_position.setIntegrationPoint(ip);
            auto const& N = _ip_data[ip].N;
            auto const& dNdx = _ip_data[ip].dNdx;
            auto const x_coord =
                NumLib::interpolateXCoordinate<ShapeFunction,
                                               ShapeMatricesType>(
                    this->element_, N);
 
            // For the 2D case the 33-component is needed (and the four entries
            // of the non-symmetric matrix); In 3d there are nine entries.
            GradientMatrixType G(DisplacementDim * DisplacementDim +
                                     (DisplacementDim == 2 ? 1 : 0),
                                 ShapeFunction::NPOINTS * DisplacementDim);
            Deformation::computeGMatrix<DisplacementDim,
                                        ShapeFunction::NPOINTS>(
                dNdx, G, this->is_axially_symmetric_, N, x_coord);
 
            GradientVectorType const grad_u = G * local_x;
 
            // B for Green-Lagrange strain.
            auto B = LinearBMatrix::computeBMatrix<
                DisplacementDim, ShapeFunction::NPOINTS,
                typename BMatricesType::BMatrixType>(
                dNdx, N, x_coord, this->is_axially_symmetric_);
 
            B.noalias() += 0.5 * NonLinearBMatrix::computeBMatrix<
                                     DisplacementDim, ShapeFunction::NPOINTS,
                                     typename BMatricesType::BMatrixType>(
                                     dNdx, N, grad_u, x_coord,
                                     this->is_axially_symmetric_);
 
            updateConstitutiveRelations(
                B, G, grad_u, local_x, local_x_prev, x_position, t, dt,
                constitutive_setting, medium, this->current_states_[ip],
                this->prev_states_[ip], this->material_states_[ip],
                this->output_data_[ip]);
 
            this->material_states_[ip].pushBackState();
        }
 
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            this->prev_states_[ip] = this->current_states_[ip];
        }
    }

References ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::_ip_data, ProcessLib::LinearBMatrix::computeBMatrix(), ProcessLib::NonLinearBMatrix::computeBMatrix(), ProcessLib::Deformation::computeGMatrix(), ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::current_states_, ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::element_, MeshLib::Element::getID(), NumLib::GenericIntegrationMethod::getNumberOfPoints(), ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::integration_method_, NumLib::interpolateXCoordinate(), ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::is_axially_symmetric_, ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::material_states_, ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::output_data_, ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::prev_states_, ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::process_data_, ParameterLib::SpatialPosition::setElementID(), ParameterLib::SpatialPosition::setIntegrationPoint(), and ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::updateConstitutiveRelations().

updateConstitutiveRelations()

template<typename ShapeFunction , int DisplacementDim>

ConstitutiveRelations::ConstitutiveData< DisplacementDim > ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::updateConstitutiveRelations ( BMatrixType const & B, GradientMatrixType const & G, GradientVectorType const & grad_u, Eigen::Ref< Eigen::VectorXd const > const & u, Eigen::Ref< Eigen::VectorXd const > const & u_prev, ParameterLib::SpatialPosition const & x_position, double const t, double const dt, typename ConstitutiveRelations::ConstitutiveSetting< DisplacementDim > & CS, MaterialPropertyLib::Medium const & medium, typename ConstitutiveRelations::StatefulData< DisplacementDim > & current_state, typename ConstitutiveRelations::StatefulDataPrev< DisplacementDim > const & prev_state, MaterialStateData< DisplacementDim > & material_state, typename ConstitutiveRelations::OutputData< DisplacementDim > & output_data ) const

inline

Definition at line 181 of file LargeDeformationFEM.h.

    {
        double const T_ref =
            this->process_data_.reference_temperature
                ? (*this->process_data_.reference_temperature)(t, x_position)[0]
                : std::numeric_limits<double>::quiet_NaN();
 
        typename ConstitutiveRelations::ConstitutiveModels<DisplacementDim>
            models(this->process_data_, this->solid_material_);
        typename ConstitutiveRelations::ConstitutiveTempData<DisplacementDim>
            tmp;
        typename ConstitutiveRelations::ConstitutiveData<DisplacementDim> CD;
 
        // Note: Here B=B_{linear}+B_{nonlinear}/2  For Green-Lagrange strain.
        output_data.eps_data.eps = B * u;
        output_data.deformation_gradient_data.deformation_gradient =
            grad_u + MathLib::VectorizedTensor::identity<DisplacementDim>();
        output_data.deformation_gradient_data.volume_ratio =
            MathLib::VectorizedTensor::determinant(
                output_data.deformation_gradient_data.deformation_gradient);
 
        CS.eval(
            models, t, dt, x_position,              //
            medium,                                 //
            T_ref,                                  //
            output_data.deformation_gradient_data,  //
            G * u_prev + MathLib::VectorizedTensor::identity<DisplacementDim>(),
            current_state, prev_state, material_state, tmp, CD);
 
        return CD;
    }

References ProcessLib::LargeDeformation::ConstitutiveRelations::OutputData< DisplacementDim >::deformation_gradient_data, MathLib::VectorizedTensor::determinant(), ProcessLib::LargeDeformation::ConstitutiveRelations::OutputData< DisplacementDim >::eps_data, ProcessLib::LargeDeformation::ConstitutiveRelations::ConstitutiveSetting< DisplacementDim >::eval(), MathLib::VectorizedTensor::identity(), ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::process_data_, and ProcessLib::LargeDeformation::LargeDeformationLocalAssemblerInterface< DisplacementDim >::solid_material_.

Referenced by ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobian(), and ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::postTimestepConcrete().

Member Data Documentation

_ip_data

template<typename ShapeFunction , int DisplacementDim>

std::vector<IpData, Eigen::aligned_allocator<IpData> > ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::_ip_data

private

Definition at line 410 of file LargeDeformationFEM.h.

Referenced by ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::LargeDeformationLocalAssembler(), ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobian(), ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::initializeConcrete(), and ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::postTimestepConcrete().

_secondary_data

template<typename ShapeFunction , int DisplacementDim>

SecondaryData<typename ShapeMatrices::ShapeType> ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::_secondary_data

private

Definition at line 412 of file LargeDeformationFEM.h.

Referenced by ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::LargeDeformationLocalAssembler(), and ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::getShapeMatrix().

displacement_size

template<typename ShapeFunction , int DisplacementDim>

const int ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::displacement_size

staticprivate

Initial value:

=
        ShapeFunction::NPOINTS * DisplacementDim

Definition at line 414 of file LargeDeformationFEM.h.

N_u_op

template<typename ShapeFunction , int DisplacementDim>

auto& ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::N_u_op

staticconstexpr

Initial value:

= MathLib::eigenBlockMatrixView<
        DisplacementDim, typename ShapeMatricesType::NodalRowVectorType>

Definition at line 102 of file LargeDeformationFEM.h.

Referenced by ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobian().

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

• ProcessLib/LargeDeformation/LargeDeformationFEM.h