ThermoMechanicsFEM.h

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#pragma once
 
#include <memory>
#include <vector>
 
#include "LocalAssemblerInterface.h"
#include "MaterialLib/SolidModels/SelectSolidConstitutiveRelation.h"
#include "MathLib/KelvinVector.h"
#include "MathLib/LinAlg/Eigen/EigenMapTools.h"
#include "NumLib/Extrapolation/ExtrapolatableElement.h"
#include "NumLib/Fem/FiniteElement/TemplateIsoparametric.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 "ThermoMechanicsProcessData.h"
 
namespace ProcessLib
{
namespace ThermoMechanics
{
namespace MPL = MaterialPropertyLib;
 
template <typename BMatricesType, typename ShapeMatricesType,
          int DisplacementDim>
struct IntegrationPointData final
{
    explicit IntegrationPointData(
        MaterialLib::Solids::MechanicsBase<DisplacementDim> const&
            solid_material)
        : solid_material(solid_material),
          material_state_variables(
              solid_material.createMaterialStateVariables())
    {
    }
 
    // total stress
    typename BMatricesType::KelvinVectorType sigma, sigma_prev;
 
    // total strain
    typename BMatricesType::KelvinVectorType eps, eps_prev;
 
    // mechanical strain
    typename BMatricesType::KelvinVectorType eps_m, eps_m_prev;
 
    MaterialLib::Solids::MechanicsBase<DisplacementDim> const& solid_material;
    std::unique_ptr<typename MaterialLib::Solids::MechanicsBase<
        DisplacementDim>::MaterialStateVariables>
        material_state_variables;
 
    double integration_weight;
    typename ShapeMatricesType::NodalRowVectorType N;
    typename ShapeMatricesType::GlobalDimNodalMatrixType dNdx;
 
    void pushBackState()
    {
        eps_prev = eps;
        eps_m_prev = eps_m;
        sigma_prev = sigma;
        material_state_variables->pushBackState();
    }
 
    EIGEN_MAKE_ALIGNED_OPERATOR_NEW;
};
 
template <typename ShapeMatrixType>
struct SecondaryData
{
    std::vector<ShapeMatrixType, Eigen::aligned_allocator<ShapeMatrixType>> N;
};
 
template <typename ShapeFunction, typename IntegrationMethod,
          int DisplacementDim>
class ThermoMechanicsLocalAssembler
    : public ThermoMechanicsLocalAssemblerInterface<DisplacementDim>
{
public:
    using ShapeMatricesType =
        ShapeMatrixPolicyType<ShapeFunction, DisplacementDim>;
 
    // Types for displacement.
    // (Higher order elements = ShapeFunction).
    using ShapeMatrices = typename ShapeMatricesType::ShapeMatrices;
    using GlobalDimMatrixType = typename ShapeMatricesType::GlobalDimMatrixType;
    using BMatricesType = BMatrixPolicyType<ShapeFunction, DisplacementDim>;
 
    static int const KelvinVectorSize =
        MathLib::KelvinVector::kelvin_vector_dimensions(DisplacementDim);
    using Invariants = MathLib::KelvinVector::Invariants<KelvinVectorSize>;
 
    using NodalForceVectorType = typename BMatricesType::NodalForceVectorType;
    using RhsVector = typename ShapeMatricesType::template VectorType<
        ShapeFunction::NPOINTS + ShapeFunction::NPOINTS * DisplacementDim>;
    using JacobianMatrix = typename ShapeMatricesType::template MatrixType<
        ShapeFunction::NPOINTS + ShapeFunction::NPOINTS * DisplacementDim,
        ShapeFunction::NPOINTS + ShapeFunction::NPOINTS * DisplacementDim>;
    using IpData =
        IntegrationPointData<BMatricesType, ShapeMatricesType, DisplacementDim>;
 
    ThermoMechanicsLocalAssembler(ThermoMechanicsLocalAssembler const&) =
        delete;
    ThermoMechanicsLocalAssembler(ThermoMechanicsLocalAssembler&&) = delete;
 
    ThermoMechanicsLocalAssembler(
        MeshLib::Element const& e,
        std::size_t const /*local_matrix_size*/,
        bool const is_axially_symmetric,
        unsigned const integration_order,
        ThermoMechanicsProcessData<DisplacementDim>& process_data);
 
    std::size_t setIPDataInitialConditions(
        std::string const& name,
        double const* values,
        int const integration_order) override;
 
    void assemble(double const /*t*/, double const /*dt*/,
                  std::vector<double> const& /*local_x*/,
                  std::vector<double> const& /*local_xdot*/,
                  std::vector<double>& /*local_M_data*/,
                  std::vector<double>& /*local_K_data*/,
                  std::vector<double>& /*local_rhs_data*/) override
    {
        OGS_FATAL(
            "ThermoMechanicsLocalAssembler: assembly without jacobian is not "
            "implemented.");
    }
 
    void assembleWithJacobianForStaggeredScheme(
        double const t, double const dt, Eigen::VectorXd const& local_x,
        Eigen::VectorXd const& local_xdot, const double dxdot_dx,
        const double dx_dx, int const process_id,
        std::vector<double>& local_M_data, std::vector<double>& local_K_data,
        std::vector<double>& local_b_data,
        std::vector<double>& local_Jac_data) override;
 
    void assembleWithJacobian(double const t, double const dt,
                              std::vector<double> const& local_x,
                              std::vector<double> const& local_xdot,
                              const double dxdot_dx, const double dx_dx,
                              std::vector<double>& local_M_data,
                              std::vector<double>& local_K_data,
                              std::vector<double>& local_rhs_data,
                              std::vector<double>& local_Jac_data) override;
 
    void initializeConcrete() override
    {
        unsigned const n_integration_points =
            _integration_method.getNumberOfPoints();
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            auto& ip_data = _ip_data[ip];
 
            if (_process_data.initial_stress != nullptr)
            {
                ParameterLib::SpatialPosition const x_position{
                    std::nullopt, _element.getID(), ip,
                    MathLib::Point3d(
                        NumLib::interpolateCoordinates<ShapeFunction,
                                                       ShapeMatricesType>(
                            _element, ip_data.N))};
 
                ip_data.sigma =
                    MathLib::KelvinVector::symmetricTensorToKelvinVector<
                        DisplacementDim>((*_process_data.initial_stress)(
                        std::numeric_limits<
                            double>::quiet_NaN() /* time independent */,
                        x_position));
            }
 
            ip_data.pushBackState();
        }
    }
 
    void postTimestepConcrete(Eigen::VectorXd const& /*local_x*/,
                              double const /*t*/, double const /*dt*/) override
    {
        unsigned const n_integration_points =
            _integration_method.getNumberOfPoints();
 
        for (unsigned ip = 0; ip < n_integration_points; ip++)
        {
            _ip_data[ip].pushBackState();
        }
    }
 
    Eigen::Map<const Eigen::RowVectorXd> getShapeMatrix(
        const unsigned integration_point) const override
    {
        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());
    }
 
private:
    void assembleWithJacobianForDeformationEquations(
        const double t, double const dt, Eigen::VectorXd const& local_x,
        Eigen::VectorXd const& local_xdot, std::vector<double>& local_b_data,
        std::vector<double>& local_Jac_data);
 
    void assembleWithJacobianForHeatConductionEquations(
        const double t, double const dt, Eigen::VectorXd const& local_x,
        Eigen::VectorXd const& local_xdot, std::vector<double>& local_b_data,
        std::vector<double>& local_Jac_data);
 
    std::size_t setSigma(double const* values);
 
    // TODO (naumov) This method is same as getIntPtSigma but for arguments and
    // the ordering of the cache_mat.
    // There should be only one.
    std::vector<double> getSigma() const override;
 
    std::vector<double> const& getIntPtSigma(
        const double t,
        std::vector<GlobalVector*> const& x,
        std::vector<NumLib::LocalToGlobalIndexMap const*> const& dof_table,
        std::vector<double>& cache) const override;
 
    std::size_t setEpsilon(double const* values);
 
    std::vector<double> getEpsilon() const override;
 
    std::vector<double> const& getIntPtEpsilon(
        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& getIntPtEpsilonMechanical(
        const double t,
        std::vector<GlobalVector*> const& x,
        std::vector<NumLib::LocalToGlobalIndexMap const*> const& dof_table,
        std::vector<double>& cache) const override;
 
    std::size_t setEpsilonMechanical(double const* values);
 
    std::vector<double> getEpsilonMechanical() const override;
 
    unsigned getNumberOfIntegrationPoints() const override;
 
    typename MaterialLib::Solids::MechanicsBase<
        DisplacementDim>::MaterialStateVariables const&
    getMaterialStateVariablesAt(unsigned integration_point) const override;
 
private:
 
    ThermoMechanicsProcessData<DisplacementDim>& _process_data;
 
    std::vector<IpData, Eigen::aligned_allocator<IpData>> _ip_data;
 
    IntegrationMethod _integration_method;
    MeshLib::Element const& _element;
    SecondaryData<typename ShapeMatrices::ShapeType> _secondary_data;
    bool const _is_axially_symmetric;
 
    static const int temperature_index = 0;
    static const int temperature_size = ShapeFunction::NPOINTS;
    static const int displacement_index = ShapeFunction::NPOINTS;
    static const int displacement_size =
        ShapeFunction::NPOINTS * DisplacementDim;
};
 
}  // namespace ThermoMechanics
}  // namespace ProcessLib
 
#include "ThermoMechanicsFEM-impl.h"