ProcessLib::LinearBMatrix Namespace Reference

Namespaces
namespace	detail

Functions
template<int DisplacementDim, int NPOINTS, typename BMatrixType , typename N_Type , typename DNDX_Type >
BMatrixType	computeBMatrix (DNDX_Type const &dNdx, N_Type const &N, const double radius, const bool is_axially_symmetric)
	Fills a B-matrix based on given shape function dN/dx values.
template<int DisplacementDim, int NPOINTS, typename ShapeFunction , typename BBarMatrixType , typename ShapeMatricesType , typename IpData >
BBarMatrixType	computeDilatationalBbar (std::vector< IpData, Eigen::aligned_allocator< IpData > > const &ip_data, MeshLib::Element const &element, NumLib::GenericIntegrationMethod const &integration_method, const bool is_axially_symmetric)
template<int DisplacementDim, int NPOINTS, typename BBarMatrixType , typename BMatrixType , typename N_Type , typename DNDX_Type >
BMatrixType	computeBMatrixPossiblyWithBbar (DNDX_Type const &dNdx, N_Type const &N, std::optional< BBarMatrixType > const &B_dil_bar, const double radius, const bool is_axially_symmetric)
	Fills a B matrix, or a B bar matrix if required.

Function Documentation

computeBMatrix()

template<int DisplacementDim, int NPOINTS, typename BMatrixType , typename N_Type , typename DNDX_Type >

BMatrixType ProcessLib::LinearBMatrix::computeBMatrix	(	DNDX_Type const &	dNdx,
		N_Type const &	N,
		const double	radius,
		const bool	is_axially_symmetric )

Fills a B-matrix based on given shape function dN/dx values.

Definition at line 46 of file LinearBMatrix.h.

{
    static_assert(0 < DisplacementDim && DisplacementDim <= 3,
                  "LinearBMatrix::computeBMatrix: DisplacementDim must be in "
                  "range [1,3].");
 
    BMatrixType B = BMatrixType::Zero(
        MathLib::KelvinVector::kelvin_vector_dimensions(DisplacementDim),
        NPOINTS * DisplacementDim);
 
    switch (DisplacementDim)
    {
        case 3:
            for (int i = 0; i < NPOINTS; ++i)
            {
                B(2, 2 * NPOINTS + i) = dNdx(2, i);
                B(4, NPOINTS + i) = dNdx(2, i) / std::sqrt(2);
                B(4, 2 * NPOINTS + i) = dNdx(1, i) / std::sqrt(2);
                B(5, i) = dNdx(2, i) / std::sqrt(2);
                B(5, 2 * NPOINTS + i) = dNdx(0, i) / std::sqrt(2);
            }
            detail::fillBMatrix2DCartesianPart<NPOINTS>(dNdx, B);
            break;
        case 2:
            detail::fillBMatrix2DCartesianPart<NPOINTS>(dNdx, B);
            if (is_axially_symmetric)
            {
                for (int i = 0; i < NPOINTS; ++i)
                {
                    B(2, i) = N[i] / radius;
                }
            }
            break;
        default:
            break;
    }
 
    return B;
}

References ProcessLib::LinearBMatrix::detail::fillBMatrix2DCartesianPart(), and MathLib::KelvinVector::kelvin_vector_dimensions().

Referenced by ProcessLib::RichardsMechanics::RichardsMechanicsLocalAssembler< ShapeFunctionDisplacement, ShapeFunctionPressure, DisplacementDim >::assemble(), ProcessLib::HydroMechanics::HydroMechanicsLocalAssembler< ShapeFunctionDisplacement, ShapeFunctionPressure, DisplacementDim >::assembleWithJacobian(), ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobian(), ProcessLib::RichardsMechanics::RichardsMechanicsLocalAssembler< ShapeFunctionDisplacement, ShapeFunctionPressure, DisplacementDim >::assembleWithJacobian(), ProcessLib::SmallDeformationNonlocal::SmallDeformationNonlocalLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobian(), ProcessLib::ThermoHydroMechanics::ThermoHydroMechanicsLocalAssembler< ShapeFunctionDisplacement, ShapeFunctionPressure, DisplacementDim >::assembleWithJacobian(), ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobian(), ProcessLib::HydroMechanics::HydroMechanicsLocalAssembler< ShapeFunctionDisplacement, ShapeFunctionPressure, DisplacementDim >::assembleWithJacobianForDeformationEquations(), ProcessLib::PhaseField::PhaseFieldLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobianForDeformationEquations(), ProcessLib::ThermoMechanicalPhaseField::ThermoMechanicalPhaseFieldLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobianForDeformationEquations(), ProcessLib::ThermoMechanics::ThermoMechanicsLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobianForDeformationEquations(), ProcessLib::PhaseField::PhaseFieldLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobianPhaseFieldEquations(), ProcessLib::ThermoRichardsMechanics::ThermoRichardsMechanicsLocalAssembler< ShapeFunctionDisplacement, ShapeFunction, DisplacementDim, ConstitutiveTraits >::assembleWithJacobianSingleIP(), computeBMatrixPossiblyWithBbar(), ProcessLib::RichardsMechanics::RichardsMechanicsLocalAssembler< ShapeFunctionDisplacement, ShapeFunctionPressure, DisplacementDim >::computeSecondaryVariableConcrete(), ProcessLib::ThermoRichardsMechanics::ThermoRichardsMechanicsLocalAssembler< ShapeFunctionDisplacement, ShapeFunction, DisplacementDim, ConstitutiveTraits >::computeSecondaryVariableConcrete(), ProcessLib::SmallDeformationNonlocal::SmallDeformationNonlocalLocalAssembler< ShapeFunction, DisplacementDim >::getNodalValues(), ProcessLib::HydroMechanics::HydroMechanicsLocalAssembler< ShapeFunctionDisplacement, ShapeFunctionPressure, DisplacementDim >::postNonLinearSolverConcrete(), ProcessLib::LargeDeformation::LargeDeformationLocalAssembler< ShapeFunction, DisplacementDim >::postTimestepConcrete(), ProcessLib::ThermoHydroMechanics::ThermoHydroMechanicsLocalAssembler< ShapeFunctionDisplacement, ShapeFunctionPressure, DisplacementDim >::postTimestepConcrete(), ProcessLib::SmallDeformationNonlocal::SmallDeformationNonlocalLocalAssembler< ShapeFunction, DisplacementDim >::preAssemble(), ProcessLib::HydroMechanics::HydroMechanicsLocalAssembler< ShapeFunctionDisplacement, ShapeFunctionPressure, DisplacementDim >::setInitialConditionsConcrete(), ProcessLib::ThermoHydroMechanics::ThermoHydroMechanicsLocalAssembler< ShapeFunctionDisplacement, ShapeFunctionPressure, DisplacementDim >::updateConstitutiveRelations(), and ProcessLib::TH2M::TH2MLocalAssembler< ShapeFunctionDisplacement, ShapeFunctionPressure, DisplacementDim >::updateConstitutiveVariables().

computeBMatrixPossiblyWithBbar()

template<int DisplacementDim, int NPOINTS, typename BBarMatrixType , typename BMatrixType , typename N_Type , typename DNDX_Type >

BMatrixType ProcessLib::LinearBMatrix::computeBMatrixPossiblyWithBbar	(	DNDX_Type const &	dNdx,
		N_Type const &	N,
		std::optional< BBarMatrixType > const &	B_dil_bar,
		const double	radius,
		const bool	is_axially_symmetric )

Fills a B matrix, or a B bar matrix if required.

Definition at line 198 of file LinearBMatrix.h.

{
    auto B = computeBMatrix<DisplacementDim, NPOINTS, BMatrixType, N_Type,
                            DNDX_Type>(dNdx, N, radius, is_axially_symmetric);
 
    if (!B_dil_bar)
    {
        return B;
    }
 
    detail::applyBbar<DisplacementDim, NPOINTS, BBarMatrixType, BMatrixType>(
        *B_dil_bar, B, is_axially_symmetric);
 
    return B;
}

References ProcessLib::LinearBMatrix::detail::applyBbar(), and computeBMatrix().

Referenced by ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerMatrix< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::assembleBlockMatricesWithJacobian(), ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerMatrix< ShapeFunction, DisplacementDim >::assembleWithJacobian(), ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerMatrixNearFracture< ShapeFunction, DisplacementDim >::assembleWithJacobian(), ProcessLib::SmallDeformation::SmallDeformationLocalAssembler< ShapeFunction, DisplacementDim >::assembleWithJacobian(), ProcessLib::SmallDeformation::SmallDeformationLocalAssembler< ShapeFunction, DisplacementDim >::postTimestepConcrete(), and ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerMatrix< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::postTimestepConcreteWithBlockVectors().

computeDilatationalBbar()

template<int DisplacementDim, int NPOINTS, typename ShapeFunction , typename BBarMatrixType , typename ShapeMatricesType , typename IpData >

BBarMatrixType ProcessLib::LinearBMatrix::computeDilatationalBbar	(	std::vector< IpData, Eigen::aligned_allocator< IpData > > const &	ip_data,
		MeshLib::Element const &	element,
		NumLib::GenericIntegrationMethod const &	integration_method,
		const bool	is_axially_symmetric )

Definition at line 91 of file LinearBMatrix.h.

{
    unsigned const n_integration_points =
        integration_method.getNumberOfPoints();
 
    BBarMatrixType B_bar = BBarMatrixType::Zero(3, ShapeFunction::NPOINTS);
 
    // Compute the element volume
    double volume = 0.0;
    for (unsigned ip = 0; ip < n_integration_points; ip++)
    {
        auto const& w = ip_data[ip].integration_weight;
        volume += w;
    }
 
    for (int i = 0; i < NPOINTS; i++)
    {
        auto B_bar_i = B_bar.col(i);
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            auto const& N = ip_data[ip].N_u;
            auto const& dNdx = ip_data[ip].dNdx_u;
 
            auto const dNidx = dNdx.col(i);
 
            auto const& w = ip_data[ip].integration_weight;
            B_bar_i.template segment<DisplacementDim>(0) += dNidx * w;
 
            if (is_axially_symmetric)
            {
                auto const x_coord =
                    NumLib::interpolateXCoordinate<ShapeFunction,
                                                   ShapeMatricesType>(element,
                                                                      N);
                B_bar_i[2] += w * N(i) / x_coord;
            }
        }
    }
 
    return B_bar / volume;
}

References NumLib::GenericIntegrationMethod::getNumberOfPoints(), and NumLib::interpolateXCoordinate().

Referenced by ProcessLib::LIE::HydroMechanics::HydroMechanicsLocalAssemblerMatrix< ShapeFunctionDisplacement, ShapeFunctionPressure, GlobalDim >::getDilatationalBBarMatrix(), ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerMatrix< ShapeFunction, DisplacementDim >::getDilatationalBBarMatrix(), ProcessLib::LIE::SmallDeformation::SmallDeformationLocalAssemblerMatrixNearFracture< ShapeFunction, DisplacementDim >::getDilatationalBBarMatrix(), and ProcessLib::SmallDeformation::SmallDeformationLocalAssembler< ShapeFunction, DisplacementDim >::getDilatationalBBarMatrix().