ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim > Class Template Reference

Detailed Description

template<typename ShapeFunctionDisplacement, typename ShapeFunctionPressure, int GlobalDim>
class ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >

Definition at line 30 of file HydroMechanicsLocalAssemblerFracture.h.

#include <HydroMechanicsLocalAssemblerFracture.h>

Inheritance diagram for ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >:

Collaboration diagram for ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >:

Public Member Functions
	HydroMechanicsLocalAssemblerFracture (HydroMechanicsLocalAssemblerFracture const &)=delete
	HydroMechanicsLocalAssemblerFracture (HydroMechanicsLocalAssemblerFracture &&)=delete
	HydroMechanicsLocalAssemblerFracture (MeshLib::Element const &e, std::size_t const local_matrix_size, std::vector< unsigned > const &dofIndex_to_localIndex, NumLib::GenericIntegrationMethod const &integration_method, bool const is_axially_symmetric, HydroMechanicsProcessData< GlobalDim > &process_data)
void	preTimestepConcrete (std::vector< double > const &, double const, double const) override
void	postTimestepConcreteWithVector (const double t, double const dt, Eigen::VectorXd const &local_x) override
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 &	getIntPtDarcyVelocity (const double, std::vector< GlobalVector * > const &, std::vector< NumLib::LocalToGlobalIndexMap const * > const &, std::vector< double > &cache) const override
std::vector< double > const &	getIntPtFractureVelocity (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 &	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
std::vector< double > const &	getIntPtFracturePermeability (const double t, std::vector< GlobalVector * > const &x, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_table, std::vector< double > &cache) 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::LIE::HydroMechanics::HydroMechanicsLocalAssemblerInterface
	HydroMechanicsLocalAssemblerInterface (MeshLib::Element const &element, bool const is_axially_symmetric, NumLib::GenericIntegrationMethod const &integration_method, std::size_t n_local_size, std::vector< unsigned > dofIndex_to_localIndex)
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 &, const double t, double const dt, int 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	ShapeMatricesTypeDisplacement
using	HMatricesType
using	HMatrixType = typename HMatricesType::HMatrixType
using	ShapeMatricesTypePressure
using	IntegrationPointDataType
using	GlobalDimVectorType = Eigen::Matrix<double, GlobalDim, 1>

Private Member Functions
void	assembleWithJacobianConcrete (double const t, double const dt, Eigen::VectorXd const &local_x, Eigen::VectorXd const &local_x_prev, Eigen::VectorXd &local_b, Eigen::MatrixXd &local_J) override
void	assembleBlockMatricesWithJacobian (double const t, double const dt, Eigen::Ref< const Eigen::VectorXd > const &p, Eigen::Ref< const Eigen::VectorXd > const &p_prev, Eigen::Ref< const Eigen::VectorXd > const &g, Eigen::Ref< const Eigen::VectorXd > const &g_prev, Eigen::Ref< Eigen::VectorXd > rhs_p, Eigen::Ref< Eigen::VectorXd > rhs_g, Eigen::Ref< Eigen::MatrixXd > J_pp, Eigen::Ref< Eigen::MatrixXd > J_pg, Eigen::Ref< Eigen::MatrixXd > J_gg, Eigen::Ref< Eigen::MatrixXd > J_gp)

Private Attributes
HydroMechanicsProcessData< GlobalDim > &	_process_data
std::vector< IntegrationPointDataType, Eigen::aligned_allocator< IntegrationPointDataType > >	_ip_data
SecondaryData< typename ShapeMatricesTypeDisplacement::ShapeMatrices::ShapeType >	_secondary_data

Static Private Attributes
static const int	pressure_index = 0
static const int	pressure_size = ShapeFunctionPressure::NPOINTS
static const int	displacement_index = ShapeFunctionPressure::NPOINTS
static const int	displacement_size

Additional Inherited Members
Protected Member Functions inherited from ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerInterface
Protected Attributes inherited from ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerInterface
MeshLib::Element const &	_element
bool const	_is_axially_symmetric
NumLib::GenericIntegrationMethod const &	_integration_method

Member Typedef Documentation

GlobalDimVectorType

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

using ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::GlobalDimVectorType = Eigen::Matrix<double, GlobalDim, 1>

private

Definition at line 158 of file HydroMechanicsLocalAssemblerFracture.h.

HMatricesType

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

using ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::HMatricesType

private

Initial value:

 
        HMatrixPolicyType<ShapeFunctionDisplacement, GlobalDim>

Definition at line 144 of file HydroMechanicsLocalAssemblerFracture.h.

HMatrixType

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

using ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::HMatrixType = typename HMatricesType::HMatrixType

private

Definition at line 146 of file HydroMechanicsLocalAssemblerFracture.h.

IntegrationPointDataType

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

using ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::IntegrationPointDataType

private

Initial value:

 
        IntegrationPointDataFracture<HMatricesType,
                                     ShapeMatricesTypeDisplacement,
                                     ShapeMatricesTypePressure, GlobalDim>

Definition at line 153 of file HydroMechanicsLocalAssemblerFracture.h.

ShapeMatricesTypeDisplacement

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

using ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::ShapeMatricesTypeDisplacement

private

Initial value:

 
        ShapeMatrixPolicyType<ShapeFunctionDisplacement, GlobalDim>

Definition at line 142 of file HydroMechanicsLocalAssemblerFracture.h.

ShapeMatricesTypePressure

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

using ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::ShapeMatricesTypePressure

private

Initial value:

 
        ShapeMatrixPolicyType<ShapeFunctionPressure, GlobalDim>

Definition at line 149 of file HydroMechanicsLocalAssemblerFracture.h.

Constructor & Destructor Documentation

HydroMechanicsLocalAssemblerFracture() [1/3]

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::HydroMechanicsLocalAssemblerFracture ( HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim > const & )

delete

HydroMechanicsLocalAssemblerFracture() [2/3]

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::HydroMechanicsLocalAssemblerFracture ( HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim > && )

delete

HydroMechanicsLocalAssemblerFracture() [3/3]

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::HydroMechanicsLocalAssemblerFracture	(	MeshLib::Element const &	e,
		std::size_t const	local_matrix_size,
		std::vector< unsigned > const &	dofIndex_to_localIndex,
		NumLib::GenericIntegrationMethod const &	integration_method,
		bool const	is_axially_symmetric,
		HydroMechanicsProcessData< GlobalDim > &	process_data )

Definition at line 44 of file HydroMechanicsLocalAssemblerFracture-impl.h.

    : HydroMechanicsLocalAssemblerInterface(
          e, is_axially_symmetric, integration_method,
          ShapeFunctionDisplacement::NPOINTS * GlobalDim +
              ShapeFunctionPressure::NPOINTS,
          dofIndex_to_localIndex),
      _process_data(process_data)
{
    assert(e.getDimension() == GlobalDim - 1);
 
    unsigned const n_integration_points =
        integration_method.getNumberOfPoints();
 
    _ip_data.reserve(n_integration_points);
    _secondary_data.N.resize(n_integration_points);
 
    auto const shape_matrices_u =
        NumLib::initShapeMatrices<ShapeFunctionDisplacement,
                                  ShapeMatricesTypeDisplacement, GlobalDim>(
            e, is_axially_symmetric, integration_method);
 
    auto const shape_matrices_p =
        NumLib::initShapeMatrices<ShapeFunctionPressure,
                                  ShapeMatricesTypePressure, GlobalDim>(
            e, is_axially_symmetric, integration_method);
 
    auto const& frac_prop = *_process_data.fracture_property;
 
    // Get element nodes for aperture0 interpolation from nodes to integration
    // point. The aperture0 parameter is time-independent.
    typename ShapeMatricesTypeDisplacement::NodalVectorType
        aperture0_node_values = frac_prop.aperture0.getNodalValuesOnElement(
            e, /*time independent*/ 0);
 
    for (unsigned ip = 0; ip < n_integration_points; ip++)
    {
        _ip_data.emplace_back(*_process_data.fracture_model);
        auto const& sm_u = shape_matrices_u[ip];
        auto const& sm_p = shape_matrices_p[ip];
        ParameterLib::SpatialPosition x_position = {
            std::nullopt, _element.getID(),
            MathLib::Point3d(
                NumLib::interpolateCoordinates<ShapeFunctionDisplacement,
                                               ShapeMatricesTypeDisplacement>(
                    _element, sm_u.N))};
 
        auto& ip_data = _ip_data[ip];
        ip_data.integration_weight =
            sm_u.detJ * sm_u.integralMeasure *
            integration_method.getWeightedPoint(ip).getWeight();
 
        ip_data.H_u.setZero(GlobalDim,
                            ShapeFunctionDisplacement::NPOINTS * GlobalDim);
        computeHMatrix<
            GlobalDim, ShapeFunctionDisplacement::NPOINTS,
            typename ShapeMatricesTypeDisplacement::NodalRowVectorType,
            HMatrixType>(sm_u.N, ip_data.H_u);
        ip_data.N_p = sm_p.N;
        ip_data.dNdx_p = sm_p.dNdx;
 
        _secondary_data.N[ip] = sm_u.N;
 
        // Initialize current time step values
        ip_data.w.setZero(GlobalDim);
        ip_data.sigma_eff.setZero(GlobalDim);
 
        // Previous time step values are not initialized and are set later.
        ip_data.w_prev.resize(GlobalDim);
        ip_data.sigma_eff_prev.resize(GlobalDim);
 
        ip_data.C.resize(GlobalDim, GlobalDim);
 
        ip_data.aperture0 = aperture0_node_values.dot(sm_u.N);
        ip_data.aperture = ip_data.aperture0;
 
        auto const initial_effective_stress =
            _process_data.initial_fracture_effective_stress(0, x_position);
        for (int i = 0; i < GlobalDim; i++)
        {
            ip_data.sigma_eff[i] = initial_effective_stress[i];
            ip_data.sigma_eff_prev[i] = initial_effective_stress[i];
        }
    }
}

References ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerInterface::_element, ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::_ip_data, ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::_process_data, ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::_secondary_data, ProcessLib::computeHMatrix(), MeshLib::Element::getDimension(), MeshLib::Element::getID(), NumLib::GenericIntegrationMethod::getNumberOfPoints(), MathLib::WeightedPoint::getWeight(), NumLib::GenericIntegrationMethod::getWeightedPoint(), NumLib::initShapeMatrices(), NumLib::interpolateCoordinates(), and ProcessLib::LIE::HydroMechanics::SecondaryData< ShapeMatrixType >::N.

Member Function Documentation

assembleBlockMatricesWithJacobian()

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

void ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::assembleBlockMatricesWithJacobian ( double const t, double const dt, Eigen::Ref< const Eigen::VectorXd > const & p, Eigen::Ref< const Eigen::VectorXd > const & p_prev, Eigen::Ref< const Eigen::VectorXd > const & g, Eigen::Ref< const Eigen::VectorXd > const & g_prev, Eigen::Ref< Eigen::VectorXd > rhs_p, Eigen::Ref< Eigen::VectorXd > rhs_g, Eigen::Ref< Eigen::MatrixXd > J_pp, Eigen::Ref< Eigen::MatrixXd > J_pg, Eigen::Ref< Eigen::MatrixXd > J_gg, Eigen::Ref< Eigen::MatrixXd > J_gp )

private

Definition at line 170 of file HydroMechanicsLocalAssemblerFracture-impl.h.

{
    auto const& frac_prop = *_process_data.fracture_property;
    auto const& R = frac_prop.R;
 
    // the index of a normal (normal to a fracture plane) component
    // in a displacement vector
    auto constexpr index_normal = GlobalDim - 1;
 
    typename ShapeMatricesTypePressure::NodalMatrixType laplace_p =
        ShapeMatricesTypePressure::NodalMatrixType::Zero(pressure_size,
                                                         pressure_size);
 
    typename ShapeMatricesTypePressure::NodalMatrixType storage_p =
        ShapeMatricesTypePressure::NodalMatrixType::Zero(pressure_size,
                                                         pressure_size);
 
    typename ShapeMatricesTypeDisplacement::template MatrixType<
        displacement_size, pressure_size>
        Kgp = ShapeMatricesTypeDisplacement::template MatrixType<
            displacement_size, pressure_size>::Zero(displacement_size,
                                                    pressure_size);
 
    // Projection of the body force vector at the element.
    Eigen::MatrixXd const global2local_rotation =
        R.template topLeftCorner<ShapeFunctionPressure::DIM, GlobalDim>();
 
    GlobalDimVectorType const gravity_vec = global2local_rotation.transpose() *
                                            global2local_rotation *
                                            _process_data.specific_body_force;
 
    ParameterLib::SpatialPosition x_position;
    x_position.setElementID(_element.getID());
 
    MPL::VariableArray variables;
    auto const& medium = _process_data.media_map.getMedium(_element.getID());
    auto const& liquid_phase = medium->phase("AqueousLiquid");
    auto const T_ref =
        medium->property(MPL::PropertyType::reference_temperature)
            .template value<double>(variables, x_position, t, dt);
    variables.temperature = T_ref;
 
    unsigned const n_integration_points = _ip_data.size();
    for (unsigned ip = 0; ip < n_integration_points; ip++)
    {
        auto& ip_data = _ip_data[ip];
        auto const& ip_w = ip_data.integration_weight;
        auto const& N_p = ip_data.N_p;
        auto const& dNdx_p = ip_data.dNdx_p;
        auto const& H_g = ip_data.H_u;
        auto const& identity2 =
            MaterialLib::Fracture::FractureIdentity2<GlobalDim>::value;
 
        x_position = {
            std::nullopt, _element.getID(),
            MathLib::Point3d(
                NumLib::interpolateCoordinates<ShapeFunctionPressure,
                                               ShapeMatricesTypePressure>(
                    _element, N_p))};
 
        auto& mat = ip_data.fracture_material;
        auto& effective_stress = ip_data.sigma_eff;
        auto const& effective_stress_prev = ip_data.sigma_eff_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 rho_fr =
            liquid_phase.property(MPL::PropertyType::density)
                .template value<double>(variables, x_position, t, dt);
        variables.density = rho_fr;
 
        auto const alpha =
            medium->property(MPL::PropertyType::biot_coefficient)
                .template value<double>(variables, x_position, t, dt);
 
        double const S =
            medium->property(MPL::PropertyType::storage)
                .template value<double>(variables, x_position, t, dt);
 
        auto const mu =
            liquid_phase.property(MPL::PropertyType::viscosity)
                .template value<double>(variables, x_position, t, dt);
 
        // displacement jumps in local coordinates
        w.noalias() = R * H_g * g;
 
        // aperture
        b_m = ip_data.aperture0 + w[index_normal];
        if (b_m < 0.0)
        {
            DBUG(
                "Element {:d}, gp {:d}: Fracture aperture is {:g}, but it must "
                "be "
                "non-negative. Setting it to zero.",
                _element.getID(), ip, b_m);
            b_m = 0;
        }
 
        auto const initial_effective_stress =
            _process_data.initial_fracture_effective_stress(0, x_position);
 
        Eigen::Map<typename HMatricesType::ForceVectorType const> const stress0(
            initial_effective_stress.data(), initial_effective_stress.size());
 
        // local C, local stress
        mat.computeConstitutiveRelation(
            t, x_position, ip_data.aperture0, stress0, w_prev, w,
            effective_stress_prev, effective_stress, C, state);
 
        //
        // displacement equation, displacement jump part
        //
        rhs_g.noalias() -=
            H_g.transpose() * R.transpose() * effective_stress * ip_w;
        J_gg.noalias() += H_g.transpose() * R.transpose() * C * R * H_g * ip_w;
 
        //
        // displacement equation, pressure part
        //
        Kgp.noalias() +=
            H_g.transpose() * R.transpose() * alpha * identity2 * N_p * ip_w;
 
        //
        // pressure equation, pressure part.
        //
 
        variables.fracture_aperture = b_m;
        // Assume that the fracture permeability is isotropic
        auto const permeability =
            medium->property(MPL::PropertyType::permeability)
                .value(variables, x_position, t, dt);
 
        auto& k = ip_data.permeability;
        k = std::get<double>(permeability);
        double const k_over_mu = k / mu;
        storage_p.noalias() += N_p.transpose() * b_m * S * N_p * ip_w;
        laplace_p.noalias() +=
            dNdx_p.transpose() * b_m * k_over_mu * dNdx_p * ip_w;
        rhs_p.noalias() +=
            dNdx_p.transpose() * b_m * k_over_mu * rho_fr * gravity_vec * ip_w;
 
        //
        // pressure equation, displacement jump part.
        //
        GlobalDimVectorType const grad_head = dNdx_p * p + rho_fr * gravity_vec;
        Eigen::Matrix<double, 1, displacement_size> const mT_R_Hg =
            identity2.transpose() * R * H_g;
        // velocity in global coordinates
        ip_data.darcy_velocity = -k_over_mu * grad_head;
        J_pg.noalias() +=
            N_p.transpose() * S * N_p * (p - p_prev) / dt * mT_R_Hg * ip_w;
 
        // derivative of permeability with respect to aperture
        double const dk_db_over_mu =
            medium->property(MPL::PropertyType::permeability)
                .template dValue<double>(variables,
                                         MPL::Variable::fracture_aperture,
                                         x_position, t, dt) /
            mu;
        J_pg.noalias() +=
            dNdx_p.transpose() * k_over_mu * grad_head * mT_R_Hg * ip_w;
        J_pg.noalias() += dNdx_p.transpose() * b_m * dk_db_over_mu * grad_head *
                          mT_R_Hg * ip_w;
    }
 
    // displacement equation, pressure part
    J_gp.noalias() -= Kgp;
 
    // pressure equation, pressure part.
    J_pp.noalias() += laplace_p + storage_p / dt;
 
    // pressure equation, displacement jump part.
    J_pg.noalias() += Kgp.transpose() / dt;
 
    // pressure equation
    rhs_p.noalias() -= laplace_p * p + storage_p * (p - p_prev) / dt +
                       Kgp.transpose() * (g - g_prev) / dt;
 
    // displacement equation
    rhs_g.noalias() -= -Kgp * p;
}

References DBUG(), MaterialPropertyLib::VariableArray::density, MaterialPropertyLib::VariableArray::fracture_aperture, NumLib::interpolateCoordinates(), ParameterLib::SpatialPosition::setElementID(), and MaterialPropertyLib::VariableArray::temperature.

assembleWithJacobianConcrete()

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

void ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::assembleWithJacobianConcrete ( double const t, double const dt, Eigen::VectorXd const & local_x, Eigen::VectorXd const & local_x_prev, Eigen::VectorXd & local_b, Eigen::MatrixXd & local_J )

overrideprivatevirtual

Implements ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerInterface.

Definition at line 139 of file HydroMechanicsLocalAssemblerFracture-impl.h.

{
    auto const p = local_x.segment(pressure_index, pressure_size);
    auto const p_prev = local_x_prev.segment(pressure_index, pressure_size);
    auto const g = local_x.segment(displacement_index, displacement_size);
    auto const g_prev =
        local_x_prev.segment(displacement_index, displacement_size);
 
    auto rhs_p = local_b.segment(pressure_index, pressure_size);
    auto rhs_g = local_b.segment(displacement_index, displacement_size);
    auto J_pp = local_J.block(pressure_index, pressure_index, pressure_size,
                              pressure_size);
    auto J_pg = local_J.block(pressure_index, displacement_index, pressure_size,
                              displacement_size);
    auto J_gp = local_J.block(displacement_index, pressure_index,
                              displacement_size, pressure_size);
    auto J_gg = local_J.block(displacement_index, displacement_index,
                              displacement_size, displacement_size);
 
    assembleBlockMatricesWithJacobian(t, dt, p, p_prev, g, g_prev, rhs_p, rhs_g,
                                      J_pp, J_pg, J_gg, J_gp);
}

getIntPtDarcyVelocity()

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

std::vector< double > const & ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::getIntPtDarcyVelocity ( const double , std::vector< GlobalVector * > const & , std::vector< NumLib::LocalToGlobalIndexMap const * > const & , std::vector< double > & cache ) const

inlineoverridevirtual

Implements ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerInterface.

Definition at line 81 of file HydroMechanicsLocalAssemblerFracture.h.

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

getIntPtEpsilon()

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

std::vector< double > const & ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::getIntPtEpsilon ( const double , std::vector< GlobalVector * > const & , std::vector< NumLib::LocalToGlobalIndexMap const * > const & , std::vector< double > & cache ) const

inlineoverridevirtual

Implements ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerInterface.

Definition at line 71 of file HydroMechanicsLocalAssemblerFracture.h.

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

getIntPtFractureAperture()

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

std::vector< double > const & ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::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::HydroMechanics::HydroMechanicsLocalAssemblerInterface.

Definition at line 524 of file HydroMechanicsLocalAssemblerFracture-impl.h.

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

References ProcessLib::getIntegrationPointScalarData().

getIntPtFracturePermeability()

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

std::vector< double > const & ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::getIntPtFracturePermeability ( 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::HydroMechanics::HydroMechanicsLocalAssemblerInterface.

Definition at line 538 of file HydroMechanicsLocalAssemblerFracture-impl.h.

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

References ProcessLib::getIntegrationPointScalarData().

getIntPtFractureStress()

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

std::vector< double > const & ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::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::HydroMechanics::HydroMechanicsLocalAssemblerInterface.

Definition at line 500 of file HydroMechanicsLocalAssemblerFracture-impl.h.

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

References MathLib::createZeroedMatrix().

getIntPtFractureVelocity()

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

std::vector< double > const & ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::getIntPtFractureVelocity ( 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::HydroMechanics::HydroMechanicsLocalAssemblerInterface.

Definition at line 476 of file HydroMechanicsLocalAssemblerFracture-impl.h.

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

References MathLib::createZeroedMatrix().

getIntPtSigma()

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

std::vector< double > const & ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::getIntPtSigma ( const double , std::vector< GlobalVector * > const & , std::vector< NumLib::LocalToGlobalIndexMap const * > const & , std::vector< double > & cache ) const

inlineoverridevirtual

Implements ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerInterface.

Definition at line 61 of file HydroMechanicsLocalAssemblerFracture.h.

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

getShapeMatrix()

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

Eigen::Map< const Eigen::RowVectorXd > ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::getShapeMatrix ( const unsigned integration_point ) const

inlineoverridevirtual

Provides the shape matrix at the given integration point.

Implements NumLib::ExtrapolatableElement.

Definition at line 115 of file HydroMechanicsLocalAssemblerFracture.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::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::_secondary_data, and ProcessLib::LIE::HydroMechanics::SecondaryData< ShapeMatrixType >::N.

postTimestepConcreteWithVector()

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

void ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::postTimestepConcreteWithVector ( const double t, double const dt, Eigen::VectorXd const & local_x )

overridevirtual

Implements ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerInterface.

Definition at line 368 of file HydroMechanicsLocalAssemblerFracture-impl.h.

{
    auto const nodal_g = local_x.segment(displacement_index, displacement_size);
 
    auto const& frac_prop = *_process_data.fracture_property;
    auto const& R = frac_prop.R;
    // the index of a normal (normal to a fracture plane) component
    // in a displacement vector
    auto constexpr index_normal = GlobalDim - 1;
 
    ParameterLib::SpatialPosition x_position;
    auto const e_id = _element.getID();
    x_position.setElementID(e_id);
 
    unsigned const n_integration_points = _ip_data.size();
    for (unsigned ip = 0; ip < n_integration_points; ip++)
    {
        auto& ip_data = _ip_data[ip];
        auto const& H_g = ip_data.H_u;
        auto& mat = ip_data.fracture_material;
        auto& effective_stress = ip_data.sigma_eff;
        auto const& effective_stress_prev = ip_data.sigma_eff_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;
 
        x_position = {
            std::nullopt, e_id,
            MathLib::Point3d(
                NumLib::interpolateCoordinates<ShapeFunctionPressure,
                                               ShapeMatricesTypePressure>(
                    _element, ip_data.N_p))};
 
        // displacement jumps in local coordinates
        w.noalias() = R * H_g * nodal_g;
 
        // aperture
        b_m = ip_data.aperture0 + w[index_normal];
        if (b_m < 0.0)
        {
            DBUG(
                "Element {:d}, gp {:d}: Fracture aperture is {:g}, but it is "
                "expected to be non-negative. Setting it to zero now.",
                _element.getID(), ip, b_m);
            b_m = 0;
        }
 
        auto const initial_effective_stress =
            _process_data.initial_fracture_effective_stress(0, x_position);
 
        Eigen::Map<typename HMatricesType::ForceVectorType const> const stress0(
            initial_effective_stress.data(), initial_effective_stress.size());
 
        // local C, local stress
        mat.computeConstitutiveRelation(
            t, x_position, ip_data.aperture0, stress0, w_prev, w,
            effective_stress_prev, effective_stress, C, state);
    }
 
    double ele_b = 0;
    double ele_k = 0;
    typename HMatricesType::ForceVectorType ele_sigma_eff =
        HMatricesType::ForceVectorType::Zero(GlobalDim);
    typename HMatricesType::ForceVectorType ele_w =
        HMatricesType::ForceVectorType::Zero(GlobalDim);
    GlobalDimVectorType ele_velocity = GlobalDimVectorType::Zero();
 
    double ele_Fs = -std::numeric_limits<double>::max();
    for (auto const& ip : _ip_data)
    {
        ele_b += ip.aperture;
        ele_k += ip.permeability;
        ele_w += ip.w;
        ele_sigma_eff += ip.sigma_eff;
        ele_velocity += ip.darcy_velocity;
        ele_Fs = std::max(
            ele_Fs, ip.material_state_variables->getShearYieldFunctionValue());
    }
    ele_b /= static_cast<double>(n_integration_points);
    ele_k /= static_cast<double>(n_integration_points);
    ele_w /= static_cast<double>(n_integration_points);
    ele_sigma_eff /= static_cast<double>(n_integration_points);
    ele_velocity /= static_cast<double>(n_integration_points);
    auto const element_id = _element.getID();
    (*_process_data.mesh_prop_b)[element_id] = ele_b;
    (*_process_data.mesh_prop_k_f)[element_id] = ele_k;
 
    Eigen::Map<GlobalDimVectorType>(
        &(*_process_data.element_fracture_stresses)[e_id * GlobalDim]) =
        ele_sigma_eff;
 
    Eigen::Map<GlobalDimVectorType>(
        &(*_process_data.element_fracture_velocities)[e_id * GlobalDim]) =
        ele_velocity;
 
    Eigen::Map<GlobalDimVectorType>(
        &(*_process_data.element_local_jumps)[e_id * GlobalDim]) = ele_w;
 
    (*_process_data.mesh_prop_fracture_shear_failure)[element_id] = ele_Fs;
}

References DBUG(), NumLib::interpolateCoordinates(), and ParameterLib::SpatialPosition::setElementID().

preTimestepConcrete()

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

void ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::preTimestepConcrete ( std::vector< double > const & , double const , double const  )

inlineoverridevirtual

Reimplemented from ProcessLib::LocalAssemblerInterface.

Definition at line 47 of file HydroMechanicsLocalAssemblerFracture.h.

    {
        for (auto& data : _ip_data)
        {
            data.pushBackState();
        }
    }

References ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::_ip_data.

Member Data Documentation

_ip_data

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

std::vector<IntegrationPointDataType, Eigen::aligned_allocator<IntegrationPointDataType> > ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::_ip_data

private

Definition at line 164 of file HydroMechanicsLocalAssemblerFracture.h.

Referenced by ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::HydroMechanicsLocalAssemblerFracture(), and ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::preTimestepConcrete().

_process_data

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

HydroMechanicsProcessData<GlobalDim>& ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::_process_data

private

Definition at line 160 of file HydroMechanicsLocalAssemblerFracture.h.

Referenced by ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::HydroMechanicsLocalAssemblerFracture().

_secondary_data

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

SecondaryData< typename ShapeMatricesTypeDisplacement::ShapeMatrices::ShapeType> ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::_secondary_data

private

Definition at line 174 of file HydroMechanicsLocalAssemblerFracture.h.

Referenced by ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::HydroMechanicsLocalAssemblerFracture(), and ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::getShapeMatrix().

displacement_index

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

const int ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::displacement_index = ShapeFunctionPressure::NPOINTS

staticprivate

Definition at line 168 of file HydroMechanicsLocalAssemblerFracture.h.

displacement_size

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

const int ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::displacement_size

staticprivate

Initial value:

=
        ShapeFunctionDisplacement::NPOINTS * GlobalDim

Definition at line 169 of file HydroMechanicsLocalAssemblerFracture.h.

pressure_index

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

const int ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::pressure_index = 0

staticprivate

Definition at line 166 of file HydroMechanicsLocalAssemblerFracture.h.

pressure_size

template<typename ShapeFunctionDisplacement , typename ShapeFunctionPressure , int GlobalDim>

const int ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerFracture< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::pressure_size = ShapeFunctionPressure::NPOINTS

staticprivate

Definition at line 167 of file HydroMechanicsLocalAssemblerFracture.h.

---

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

• ProcessLib/LIE/HydroMechanics/LocalAssembler/HydroMechanicsLocalAssemblerFracture.h
• ProcessLib/LIE/HydroMechanics/LocalAssembler/HydroMechanicsLocalAssemblerFracture-impl.h