PolyhedronInclusion_yang.h

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/* This file is part of MoDELib, the Mechanics Of Defects Evolution Library.
 *
 *
 * MoDELib is distributed without any warranty under the
 * GNU General Public License (GPL) v2 <http://www.gnu.org/licenses/>.
 */
 
#ifndef model_PolyhedronInclusion_H_
#define model_PolyhedronInclusion_H_
 
 
#include <Eigen/Dense>
//#include <Material.h>
#include <StaticID.h>
 
// http://solidmechanics.org/text/Chapter5_4/Chapter5_4.htm
#include <SlipSystem.h>
#include <SecondPhase.h>
#include <InclusionMicrostructure/EshelbyInclusionBase.h>
#include <InclusionMicrostructure/PolyhedronInclusionNodeIO.h>
#include <Plane.h>
#include <Math/VoigtTraits.h>
 
namespace model
{
    
struct Psi_I1
{
 
    double I1_a_a_a;
    double I1_b_b_b;
    double I1_le_le_le;
    double I1_a_a_b;
    double I1_a_a_le;
    double I1_a_b_b;
    double I1_b_b_le;
    double I1_a_le_le;
    double I1_b_le_le;
    double I1_a_b_le;
};
 
    template <int dim>
    class PolyhedronInclusion : public EshelbyInclusionBase<dim>
    /*                      */, private std::map<size_t,Plane<dim>>
    {
        static constexpr int voigtSize=SymmetricVoigtTraits<dim>::voigtSize;
        
        typedef Eigen::Matrix<double,voigtSize,voigtSize> MatrixVoigtSize;
        typedef Eigen::Matrix<double,dim,dim> MatrixDim;
        typedef Eigen::Matrix<double,dim,1>   VectorDim;
        
    public:
 
        static const SymmetricVoigtTraits<dim> voigtTraits;
 
        static std::map<size_t,std::vector<std::pair<size_t,VectorDim>>> getFaces(const std::map<size_t,PolyhedronInclusionNodeIO<dim>>& nodesMap,
                                                                                  const std::map<size_t,std::vector<size_t>>& faceIDs);
        
        static double Phi_u_II_a(double a, double b, double le);
        static double Phi_u_II_b(double a, double b, double le);
        static double Phi_u_II_le(double a, double b, double le);
        
//        static double PHI_ij(int i, int j, double a, double b, double lm, double lp, const VectorDim& Svnorm, const VectorDim& Vnorm, const VectorDim& Vdir);
//        double PHI_ij(int i, int j,const VectorDim& x) const;
        
        static double Psi_I1_a_a_a(double a, double b, double le);
        static double Psi_I1_a_a_b(double a, double b, double le);
        static double Psi_I1_a_a_le(double a, double b, double le);
        static double Psi_I1_a_b_b(double a, double b, double le);
        static double Psi_I1_a_b_le(double a, double b, double le);
        static double Psi_I1_a_le_le(double a, double b, double le);
        static double Psi_I1_b_b_b(double a, double b, double le);
        static double Psi_I1_b_b_le(double a, double b, double le);
        static double Psi_I1_b_le_le(double a, double b, double le);
        static double Psi_I1_le_le_le(double a, double b, double le);
        
//        static double PSI_ijkl(int i, int j, int k, int l, double a, double b, double lm, double lp, const VectorDim& Svnorm, const VectorDim& Vnorm, const VectorDim& Vdir);
//        double PSI_ijkl(int i, int j, int k, int l, const VectorDim& x) const;
        
        const MatrixDim delta;
 
    public:
        
        const std::map<size_t,PolyhedronInclusionNodeIO<dim>>& nodes;
        const std::map<size_t,std::vector<std::pair<size_t,VectorDim>>> faces;
        const int masterID;
        
//        static std::map<const GammaSurface*,GammaSurface> gammaSurfaceMap;
//
//        static void addSlipSystems(const std::vector<std::shared_ptr<SlipSystem>>& slipSystems);
        
        
//        double misfitEnergy(const Eigen::Matrix<double,3,1>& b, const GammaSurface* const matrixGammaSurface) const;
 
        
        /**********************************************************************/
        PolyhedronInclusion(const std::map<size_t,PolyhedronInclusionNodeIO<dim>>& nodesMap,
                            const std::map<size_t,std::vector<size_t>>& faceIDs,
                         const MatrixDim& _eT,
                         const double& _nu,
                         const double& _mu,
                         const double& _mobilityReduction,
                         const int& _phaseID,
                        const int& _masterID,
                         const std::shared_ptr<SecondPhase<dim>>& sph);
  
        
        bool contains(const VectorDim& x) const override;
        MatrixDim stress(const VectorDim& x) const override;
        MatrixDim elasticStrain(const VectorDim& x) const ;
        MatrixDim strain(const VectorDim& x) const ;
        double eshelbyTensorComponent(const int&i,const int&j,const int&k,const int&l,const MatrixDim& PHI,const MatrixDim& delta, const Psi_I1& psi,const VectorDim& Svnorm,const VectorDim& Vnorm,const VectorDim& Vdir) const;
        MatrixVoigtSize eshelbyTensorVoigt(const VectorDim& x) const ;
        const std::map<size_t,Plane<dim>>& planes() const;
        VectorDim center() const;
        
        
    };
        
//    template <int dim>
//    std::map<const GammaSurface*,GammaSurface> PolyhedronInclusion<dim>::gammaSurfaceMap;
}
#endif