TH2MFEM.h

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#pragma once
 
#include <memory>
#include <vector>
 
#include "ConstitutiveRelations/ConstitutiveModels.h"
#include "IntegrationPointData.h"
#include "LocalAssemblerInterface.h"
#include "MaterialLib/PhysicalConstant.h"
#include "MaterialLib/SolidModels/LinearElasticIsotropic.h"
#include "MathLib/EigenBlockMatrixView.h"
#include "MathLib/KelvinVector.h"
#include "MathLib/LinAlg/Eigen/EigenMapTools.h"
#include "NumLib/DOF/DOFTableUtil.h"
#include "NumLib/Fem/InitShapeMatrices.h"
#include "NumLib/Fem/ShapeMatrixPolicy.h"
#include "ParameterLib/Parameter.h"
#include "ProcessLib/Deformation/BMatrixPolicy.h"
#include "ProcessLib/Deformation/LinearBMatrix.h"
#include "ProcessLib/LocalAssemblerTraits.h"
#include "ProcessLib/Utils/SetOrGetIntegrationPointData.h"
#include "ProcessLib/Utils/TransposeInPlace.h"
 
namespace ProcessLib
{
namespace TH2M
{
template <typename ShapeMatrixType>
struct SecondaryData
{
    std::vector<ShapeMatrixType, Eigen::aligned_allocator<ShapeMatrixType>> N_u;
};
 
template <typename ShapeFunctionDisplacement, typename ShapeFunctionPressure,
          int DisplacementDim>
class TH2MLocalAssembler : public LocalAssemblerInterface<DisplacementDim>
{
public:
    using ShapeMatricesTypeDisplacement =
        ShapeMatrixPolicyType<ShapeFunctionDisplacement, DisplacementDim>;
 
    using ShapeMatricesTypePressure =
        ShapeMatrixPolicyType<ShapeFunctionPressure, DisplacementDim>;
 
    template <int N>
    using VectorType =
        typename ShapeMatricesTypePressure::template VectorType<N>;
 
    template <int M, int N>
    using MatrixType =
        typename ShapeMatricesTypePressure::template MatrixType<M, N>;
 
    using GlobalDimMatrixType =
        typename ShapeMatricesTypePressure::GlobalDimMatrixType;
 
    using GlobalDimVectorType =
        typename ShapeMatricesTypePressure::GlobalDimVectorType;
 
    static int const KelvinVectorSize =
        MathLib::KelvinVector::kelvin_vector_dimensions(DisplacementDim);
    using SymmetricTensor = Eigen::Matrix<double, KelvinVectorSize, 1>;
 
    static constexpr auto& N_u_op = MathLib::eigenBlockMatrixView<
        DisplacementDim,
        typename ShapeMatricesTypeDisplacement::NodalRowVectorType>;
 
    using Invariants = MathLib::KelvinVector::Invariants<KelvinVectorSize>;
 
    TH2MLocalAssembler(TH2MLocalAssembler const&) = delete;
    TH2MLocalAssembler(TH2MLocalAssembler&&) = delete;
 
    TH2MLocalAssembler(
        MeshLib::Element const& e,
        std::size_t const /*local_matrix_size*/,
        NumLib::GenericIntegrationMethod const& integration_method,
        bool const is_axially_symmetric,
        TH2MProcessData<DisplacementDim>& process_data);
 
private:
    std::size_t setIPDataInitialConditions(
        std::string_view const name,
        double const* values,
        int const integration_order) override;
 
    void setInitialConditionsConcrete(Eigen::VectorXd const local_x,
                                      double const t,
                                      int const process_id) override;
 
    void assemble(double const /*t*/, double const /*dt*/,
                  std::vector<double> const& /*local_x*/,
                  std::vector<double> const& /*local_x_prev*/,
                  std::vector<double>& /*local_M_data*/,
                  std::vector<double>& /*local_K_data*/,
                  std::vector<double>& /*local_rhs_data*/) 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_rhs_data,
                              std::vector<double>& local_Jac_data) override;
 
    void initializeConcrete() override
    {
        unsigned const n_integration_points =
            this->integration_method_.getNumberOfPoints();
 
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            auto& ip_data = _ip_data[ip];
 
            ParameterLib::SpatialPosition const x_position{
                std::nullopt, this->element_.getID(), ip,
                MathLib::Point3d(NumLib::interpolateCoordinates<
                                 ShapeFunctionDisplacement,
                                 ShapeMatricesTypeDisplacement>(this->element_,
                                                                ip_data.N_u))};
 
            if (this->process_data_.initial_stress.value)
            {
                this->current_states_[ip].eff_stress_data.sigma.noalias() =
                    MathLib::KelvinVector::symmetricTensorToKelvinVector<
                        DisplacementDim>(
                        (*this->process_data_.initial_stress.value)(
                            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();
        }
 
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            this->prev_states_[ip] = this->current_states_[ip];
        }
    }
 
    void postTimestepConcrete(Eigen::VectorXd const& /*local_x*/,
                              Eigen::VectorXd const& /*local_x_prev*/,
                              double const /*t*/, double const /*dt*/,
                              int const /*process_id*/) override
    {
        unsigned const n_integration_points =
            this->integration_method_.getNumberOfPoints();
 
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            this->material_states_[ip].pushBackState();
        }
 
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            this->prev_states_[ip] = this->current_states_[ip];
        }
    }
 
    void computeSecondaryVariableConcrete(
        double const t, double const dt, Eigen::VectorXd const& local_x,
        Eigen::VectorXd const& local_x_prev) override;
 
    Eigen::Map<const Eigen::RowVectorXd> getShapeMatrix(
        const unsigned integration_point) const override
    {
        auto const& N_u = _secondary_data.N_u[integration_point];
 
        // assumes N is stored contiguously in memory
        return Eigen::Map<const Eigen::RowVectorXd>(N_u.data(), N_u.size());
    }
 
    std::tuple<
        std::vector<ConstitutiveRelations::ConstitutiveData<DisplacementDim>>,
        std::vector<
            ConstitutiveRelations::ConstitutiveTempData<DisplacementDim>>>
    updateConstitutiveVariables(
        Eigen::VectorXd const& local_x, Eigen::VectorXd const& local_x_prev,
        double const t, double const dt,
        ConstitutiveRelations::ConstitutiveModels<DisplacementDim> const&
            models);
 
    std::vector<ConstitutiveRelations::DerivativesData<DisplacementDim>>
    updateConstitutiveVariablesDerivatives(
        Eigen::VectorXd const& local_x, Eigen::VectorXd const& local_x_prev,
        double const t, double const dt,
        std::vector<
            ConstitutiveRelations::ConstitutiveData<DisplacementDim>> const&
            ip_constitutive_data,
        std::vector<
            ConstitutiveRelations::ConstitutiveTempData<DisplacementDim>> const&
            ip_constitutive_variables,
        ConstitutiveRelations::ConstitutiveModels<DisplacementDim> const&
            models);
 
private:
    using BMatricesType =
        BMatrixPolicyType<ShapeFunctionDisplacement, DisplacementDim>;
    using IpData = IntegrationPointData<ShapeMatricesTypeDisplacement,
                                        ShapeMatricesTypePressure>;
    std::vector<IpData> _ip_data;
 
    SecondaryData<
        typename ShapeMatricesTypeDisplacement::ShapeMatrices::ShapeType>
        _secondary_data;
 
    // The shape function of pressure has the same form with the shape function
    // of temperature
    static const int gas_pressure_index = 0;
    static const int gas_pressure_size = ShapeFunctionPressure::NPOINTS;
    static const int capillary_pressure_index = ShapeFunctionPressure::NPOINTS;
    static const int capillary_pressure_size = ShapeFunctionPressure::NPOINTS;
    static const int temperature_index = 2 * ShapeFunctionPressure::NPOINTS;
    static const int temperature_size = ShapeFunctionPressure::NPOINTS;
    static const int displacement_index = ShapeFunctionPressure::NPOINTS * 3;
    static const int displacement_size =
        ShapeFunctionDisplacement::NPOINTS * DisplacementDim;
 
    static const int C_index = 0;
    static const int C_size = ShapeFunctionPressure::NPOINTS;
    static const int W_index = ShapeFunctionPressure::NPOINTS;
    static const int W_size = ShapeFunctionPressure::NPOINTS;
};
 
}  // namespace TH2M
}  // namespace ProcessLib
 
#include "TH2MFEM-impl.h"