lin3DFrame2.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] Finite Element Procedures, Bathe, K.J., Chapter 5: pages 400-408. 
//      Prentice-Hall, 1996. 
//  [2] Lars Andersen and Søren R.K. Nielsen, "Elastic Beams in Three Dimensions", 
//      Aalborg University, Department of Civil Engineering, ISSN 1901-7286, 
//      DCE Lecture Notes No. 23.
//
// Description:
//------------------------------------------------------------------------------

#ifndef _LIN3DFRAME2_HPP_
#define _LIN3DFRAME2_HPP_

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

#include "Node.hpp"
#include "Load.hpp"
#include "Section.hpp"
#include "Element.hpp"
#include "Damping.hpp"
#include "QuadratureRule.hpp"

class lin3DFrame2 : public Element{

    public:
        lin3DFrame2(const std::vector<unsigned int> nodes, std::unique_ptr<Section> &section, bool formulation=false, const std::string quadrature="GAUSS", unsigned int nGauss=3);

        ~lin3DFrame2();

        void CommitState();

        void ReverseState();

        void InitialState();

        void UpdateState();

        void SetDomain(std::map<unsigned int, std::shared_ptr<Node> > &nodes);

        void SetDamping(const std::shared_ptr<Damping> &damping);

        std::vector<unsigned int> GetTotalDegreeOfFreedom() const;

        Eigen::MatrixXd GetStrain() const;

        Eigen::MatrixXd GetStress() const;

        Eigen::MatrixXd GetStrainRate() const;

        Eigen::MatrixXd GetStrainAt(double x3, double x2) const;

        Eigen::MatrixXd GetStressAt(double x3, double x2) const;

        Eigen::VectorXd GetVTKResponse(std::string response) const;

        double ComputeEnergy();

        Eigen::MatrixXd ComputeMassMatrix();

        Eigen::MatrixXd ComputeStiffnessMatrix();

        Eigen::MatrixXd ComputeDampingMatrix();

        Eigen::MatrixXd ComputePMLMatrix();

        Eigen::VectorXd ComputeInternalForces();

        Eigen::VectorXd ComputeInternalDynamicForces();

        Eigen::VectorXd ComputeSurfaceForces(const std::shared_ptr<Load> &surface, unsigned int face);

        Eigen::VectorXd ComputeBodyForces(const std::shared_ptr<Load> &body, unsigned int k=0);

        Eigen::VectorXd ComputeDomainReductionForces(const std::shared_ptr<Load> &drm, unsigned int k);

    private:    
        double L;

        bool Formulation;

        double Phiy;

        double Phiz;

        std::shared_ptr<Damping> theDamping;

        std::vector<std::shared_ptr<Node> > theNodes;

        std::vector<std::unique_ptr<Section> > theSection;

        std::unique_ptr<QuadratureRule> QuadraturePoints;

        double ComputeLength() const;

        Eigen::MatrixXd ComputeLocalAxes() const;

        Eigen::VectorXd ComputeStrain(const Eigen::MatrixXd &Bij) const;

        Eigen::VectorXd ComputeStrainRate(const Eigen::MatrixXd &Bij) const;

        Eigen::MatrixXd ComputeShapeFunctionMatrix(const double ri) const;

        Eigen::MatrixXd ComputeStrainDisplacementMatrix(const double ri) const;

        Eigen::MatrixXd ComputeInitialStiffnessMatrix() const;
};

#endif