PlasticPlaneStrainJ2.hpp

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//==============================================================================
//
//                       Seismo Virtual Laboratory
//             Module for Serial and Parallel Analysis of seismic 
//         wave propagation and soil-structure interaction simulation
//         Copyright (C) 2018-2021, The California Institute of Technology
//                         All Rights Reserved.
//
// Commercial use of this program without express permission of the California
// Institute of Technology, is strictly  prohibited. See  file "COPYRIGHT"  in
// main  directory  for  information on  usage  and  redistribution, and for a
// DISCLAIMER OF ALL WARRANTIES.
//
//==============================================================================
//
// Written by:
//   Danilo S. Kusanovic (dkusanov@caltech.edu)
//   Elnaz E. Seylabi    (elnaze@unr.edu)
//
// Supervised by:
//   Domniki M. Asimaki  (domniki@caltech.edu)
//
// References : 
//  [1] J.C. Simo, T.J.R. Hughes, Computational Inelasticity, Springer, 1997, pp.124
//  [2] R.I. Borja, Plasticity Modeling & Computation, Springer, 2013, pp. 47
//
// Description:
//------------------------------------------------------------------------------

#ifndef _PLASTICPLANESTRAINJ2_HPP_
#define _PLASTICPLANESTRAINJ2_HPP_

#include <string>
#include <memory>
#include <Eigen/Dense>

#include "Material.hpp"

class PlasticPlaneStrainJ2 : public Material{

    public:
        PlasticPlaneStrainJ2(const double K, const double G, const double rho, const double Hbar, const double beta, const double SigmaY);

        ~PlasticPlaneStrainJ2();

        //Clone the 'PlasticPlaneStrainJ2' material.
        std::unique_ptr<Material> CopyMaterial();

        double GetDensity() const;

        double GetPoissonRatio() const;

        double GetBulkModulus() const;

        double GetShearModulus() const;

        double GetElasticityModulus() const;

        double GetEnergy() const;

        Eigen::MatrixXd GetDamping() const;

        Eigen::VectorXd GetStrain() const;

        Eigen::VectorXd GetStress() const;

        Eigen::VectorXd GetStrainRate() const;

        Eigen::VectorXd GetTotalStress() const;

        Eigen::MatrixXd GetTangentStiffness() const;

        Eigen::MatrixXd GetInitialTangentStiffness() const;

        void CommitState();

        void ReverseState();

        void InitialState();

        void UpdateState(const Eigen::VectorXd strain, const unsigned int cond);

    protected:
        Eigen::VectorXd ComputeIdentityVector() const;

        Eigen::MatrixXd ComputeDeviatoricTensor() const;

        Eigen::MatrixXd ComputeIdentityTensor() const;

        Eigen::MatrixXd ComputeIdentityOperator() const;

        double ComputeTensorTrace(const Eigen::VectorXd &T);

        double ComputeTensorNorm(const Eigen::VectorXd &T);

    private:
        double K;

        double G;

        double Rho;
    
        double H;

        double beta;
    
        double SigmaY;
    
        double alpha;

        double alpha_n;
    
        Eigen::VectorXd Strain;

        Eigen::VectorXd Stress;

        Eigen::VectorXd BackStress;

        Eigen::VectorXd PlasticStrain;

        Eigen::MatrixXd TangentStiffness;

        Eigen::VectorXd BackStress_n;

        Eigen::VectorXd PlasticStrain_n;

        Eigen::VectorXd Strain_n;

        Eigen::VectorXd Stress_n;

        Eigen::MatrixXd TangentStiffness_n;
};

#endif