membraneeas.h

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/* $Header: /var/cvs/mbdyn/mbdyn/mbdyn-1.0/mbdyn/struct/membraneeas.h,v 1.5 2017/01/12 14:46:43 masarati Exp $ */
/*
 * MBDyn (C) is a multibody analysis code.
 * http://www.mbdyn.org
 *
 * Copyright (C) 2011-2017
 *
 * Marco Morandini      <morandini@aero.polimi.it>
 * Riccardo Vescovini   <vescovini@aero.polimi.it>
 * Tommaso Solcia       <solcia@aero.polimi.it>
 *
 * Dipartimento di Ingegneria Aerospaziale - Politecnico di Milano
 * via La Masa, 34 - 20156 Milano, Italy
 * http://www.aero.polimi.it
 *
 * Changing this copyright notice is forbidden.
 *
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation (version 2 of the License).
 *
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 */

/*
 * Inspired by
 * Wojciech Witkowski
 * "4-Node combined shell element with semi-EAS-ANS strain interpolations
 * in 6-parameter shell theories with drilling degrees of freedom"
 * Comput Mech (2009) 43:307­319 DOI 10.1007/s00466-008-0307-x
 */

#ifndef MEMBRANEEAS_H
#define MEMBRANEEAS_H

#include "myassert.h"
#include "except.h"

#include "strnode.h"
#include "elem.h"

#include "constltp.h"

/* da spostare in .cc */
#include "Rot.hh"
#include "joint.h"

#include "membrane.h"


// Membrane4EAS - begin

class Membrane4EAS
: virtual public Elem,
public Membrane
{
public:
        // numbered according to
        //
        //         ^
        // 4 o-----+-----o 3
        //   | 1_2 | 2_2 |
        // --+-----+-----+->
        //   | 1_1 | 2_1 |
        // 1 o-----+-----o 2
        //
        enum IntegrationPoint {
                IP_1_1 = 0,
                IP_1_2 = 1,
                IP_1_3 = 2,
                IP_2_1 = 3,
                IP_2_2 = 4,
                IP_2_3 = 5,
                IP_3_1 = 6,
                IP_3_2 = 7,
                IP_3_3 = 8,

                NUMIP = 4
        };
        
        static doublereal xi_i[NUMIP][2];
        static doublereal w_i[NUMIP];

        enum NodeName {
                NODE1 = 0,
                NODE2 = 1,
                NODE3 = 2,
                NODE4 = 3,

                NUMNODES = 4
        };

        static doublereal xi_n[NUMNODES][2];
        
        static doublereal xi_0[2];

        enum Deformations {
                STRAIN = 0,

                NUMDEFORM = 1
        };

protected:
        // Pointers to nodes
        const StructDispNode* pNode[NUMNODES];

        // nodal positions (0: initial; otherwise current)
        Vec3 xa_0[NUMNODES];
        Vec3 xa[NUMNODES];

        // Orientation matrix 
        //    .. in reference configuration
        Mat3x3 T_0_0;
        Mat3x3 T_0_i[NUMIP];
        //    .. in current configuration
        Mat3x3 T_0;
        Mat3x3 T_i[NUMIP];

        // linear deformation vectors
        //    .. in reference configuration
        Vec3 eps_tilde_0_i[NUMIP];
        //    .. in current configuration
        Vec3 eps_tilde_i[NUMIP];


        // Temporary data - TODO
#if 0
        Vec6 Az[NUMSEZ];
        Vec6 AzRef[NUMSEZ];
        Vec6 AzLoc[NUMSEZ];
        Vec6 DefLoc[NUMSEZ];
        Vec6 DefLocRef[NUMSEZ];
        Vec6 DefLocPrev[NUMSEZ];
#endif

protected:
        fmh S_alpha_beta_0;
        doublereal alpha_0;
        doublereal alpha_i[NUMIP];
        vfmh L_alpha_beta_i;

        vfmh B_overline_i;

        vfmh P_i;
        
        Vec3 y_i_1[NUMIP];
        Vec3 y_i_2[NUMIP];
        
        vh beta;
        vh epsilon_hat;
        vh epsilon;

#ifdef USE_CL_IN_MEMBRANE
        // Constitutive law handlers at integration points
        ConstitutiveLawOwner<vh, fmh>* pD[NUMIP];
#else // ! USE_CL_IN_MEMBRANE
        vvh FRef;
        bool bPreStress;
        vh PreStress;
#endif // ! USE_CL_IN_MEMBRANE

        // Reference constitutive law tangent matrices
        vfmh DRef;

        //stress
        vvh stress_i;

        // Is first residual
        bool bFirstRes;

        // for derived elements that add external contributions
        // to internal forces
        virtual void
        AddInternalForces(Vec6& /* AzLoc */ , unsigned int /* iSez */ ) {
                NO_OP;
        };

private:
        void UpdateNodalAndAveragePos();
        void ComputeInitialIptOrientation();

public:
        Membrane4EAS(unsigned int uL,
                const DofOwner* pDO,
                const StructDispNode* pN1, const StructDispNode* pN2,
                const StructDispNode* pN3, const StructDispNode* pN4,
#ifdef USE_CL_IN_MEMBRANE
                const ConstitutiveLaw<vh, fmh>** pDTmp, 
#else // ! USE_CL_IN_MEMBRANE
                const fmh& pDTmp,
                const vh& PreStress,
#endif // ! USE_CL_IN_MEMBRANE
                flag fOut);

        virtual ~Membrane4EAS(void);

        // Membrane type
        virtual Membrane::Type GetMembraneType(void) const {
                return Membrane::ELASTIC;
        };

        virtual unsigned int iGetNumDof(void) const { 
                //return 14;
                //return 13;
                return 7;
        };

        virtual DofOrder::Order GetDofType(unsigned int i) const {
                ASSERT(i >= 0 && i <= iGetNumDof());
                return DofOrder::ALGEBRAIC;
        };

        virtual DofOrder::Order GetEqType(unsigned int i) const {
                ASSERT(i >= 0 && i <= iGetNumDof());
                return DofOrder::ALGEBRAIC;
        };

        // Contribution to restart file
        virtual std::ostream& Restart(std::ostream& out) const;

#if 0
        virtual void
        AfterConvergence(const VectorHandler& X, const VectorHandler& XP);

        // Inverse dynamics
        virtual void
        AfterConvergence(const VectorHandler& X, const VectorHandler& XP,
                const VectorHandler& XPP);
#endif

        // Workspace size
        virtual void
        WorkSpaceDim(integer* piNumRows, integer* piNumCols) const {
                *piNumRows = 3*4 + iGetNumDof();
                *piNumCols = 3*4 + iGetNumDof();
        };

        // Initial settings
        void
        SetValue(DataManager *pDM,
                VectorHandler& /* X */ , VectorHandler& /* XP */ ,
                SimulationEntity::Hints *ph = 0);

#if 0
        // Prepares reference parameters after prediction
        virtual void
        AfterPredict(VectorHandler& /* X */ , VectorHandler& /* XP */ );
#endif

        // Residual assembly
        virtual SubVectorHandler& AssRes(SubVectorHandler& WorkVec,
                doublereal dCoef,
                const VectorHandler& XCurr,
                const VectorHandler& XPrimeCurr);

#if 0
        // Inverse dynamics
        virtual SubVectorHandler&
        AssRes(SubVectorHandler& WorkVec,
                const VectorHandler&  XCurr ,
                const VectorHandler&  XPrimeCurr ,
                const VectorHandler&  XPrimePrimeCurr ,
                InverseDynamics::Order iOrder = InverseDynamics::INVERSE_DYNAMICS);
#endif

        // Jacobian matrix assembly
        virtual VariableSubMatrixHandler&
        AssJac(VariableSubMatrixHandler& WorkMat,
                doublereal dCoef,
                const VectorHandler& XCurr,
                const VectorHandler& XPrimeCurr);

#if 0
        // Matrix assembly for eigenvalues
        void
        AssMats(VariableSubMatrixHandler& WorkMatA,
                VariableSubMatrixHandler& WorkMatB,
                const VectorHandler& XCurr,
                const VectorHandler& XPrimeCurr);
#endif

        virtual void Output(OutputHandler& OH) const;

        virtual unsigned int iGetInitialNumDof(void) const {
                return 0;
        };

        virtual void
        InitialWorkSpaceDim(integer* piNumRows, integer* piNumCols) const {
                *piNumRows = 3*4;
                *piNumCols = 3*4;
        };

        virtual void SetInitialValue(VectorHandler& /* X */ ) {
                NO_OP;
        };

        virtual VariableSubMatrixHandler&
        InitialAssJac(VariableSubMatrixHandler& WorkMat,
                const VectorHandler& XCurr);

        virtual SubVectorHandler&
        InitialAssRes(SubVectorHandler& WorkVec, const VectorHandler& XCurr);

#if 0
        // Access to private data
        virtual unsigned int iGetNumPrivData(void) const;
        virtual unsigned int iGetPrivDataIdx(const char *s) const;
        virtual doublereal dGetPrivData(unsigned int i) const;
#endif

        // Access to nodes
        virtual const StructDispNode* pGetNode(unsigned int i) const;

        /******** PER IL SOLUTORE PARALLELO *********/
        /* Fornisce il tipo e la label dei nodi che sono connessi all'elemento
         * utile per l'assemblaggio della matrice di connessione fra i dofs */
        virtual void
        GetConnectedNodes(std::vector<const Node *>& connectedNodes) const {
                connectedNodes.resize(NUMNODES);
                for (int i = 0; i < NUMNODES; i++) {
                        connectedNodes[i] = pNode[i];
                }
        };
        /**************************************************/
};

// Memebrane4EAS - end

#endif // MEMBRANEEAS_H