trplanrot3d.C

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/*
 *
 *                 #####    #####   ######  ######  ###   ###
 *               ##   ##  ##   ##  ##      ##      ## ### ##
 *              ##   ##  ##   ##  ####    ####    ##  #  ##
 *             ##   ##  ##   ##  ##      ##      ##     ##
 *            ##   ##  ##   ##  ##      ##      ##     ##
 *            #####    #####   ##      ######  ##     ##
 *
 *
 *             OOFEM : Object Oriented Finite Element Code
 *
 *               Copyright (C) 1993 - 2013   Borek Patzak
 *
 *
 *
 *       Czech Technical University, Faculty of Civil Engineering,
 *   Department of Structural Mechanics, 166 29 Prague, Czech Republic
 *
 *  This library is free software; you can redistribute it and/or
 *  modify it under the terms of the GNU Lesser General Public
 *  License as published by the Free Software Foundation; either
 *  version 2.1 of the License, or (at your option) any later version.
 *
 *  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
 *  Lesser General Public License for more details.
 *
 *  You should have received a copy of the GNU Lesser General Public
 *  License along with this library; if not, write to the Free Software
 *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
 */

#include "../sm/Elements/PlaneStress/trplanrot3d.h"
#include "../sm/CrossSections/structuralcrosssection.h"
#include "../sm/Materials/structuralms.h"
#include "material.h"
#include "node.h"
#include "load.h"
#include "mathfem.h"
#include "classfactory.h"
#include "gaussintegrationrule.h"
#include "gausspoint.h"
#include "fei2dtrlin.h"

namespace oofem {
REGISTER_Element(TrPlaneStrRot3d);

TrPlaneStrRot3d :: TrPlaneStrRot3d(int n, Domain *aDomain) : TrPlaneStrRot(n, aDomain)
{
}


void
TrPlaneStrRot3d :: giveLocalCoordinates(FloatArray &answer, FloatArray &global)
// Returns global coordinates given in global vector
// transformed into local coordinate system of the
// receiver
{
    // test the parameter
    if ( global.giveSize() != 3 ) {
        OOFEM_ERROR("cannot transform coordinates - size mismatch");
        exit(1);
    }

    // first ensure that receiver's GtoLRotationMatrix[3,3] is defined
    if ( !GtoLRotationMatrix.isNotEmpty() ) {
        this->computeGtoLRotationMatrix();
    }

    FloatArray offset = global;
    offset.subtract( * this->giveNode(1)->giveCoordinates() );
    answer.beProductOf(GtoLRotationMatrix, offset);
}


double
TrPlaneStrRot3d :: computeVolumeAround(GaussPoint *gp)
{
    double detJ, weight;

    FloatArray x, y;
    this->giveNodeCoordinates(x, y);
    std :: vector< FloatArray > lc = {{x[0], y[0]}, {x[1], y[1]}, {x[2], y[2]}};

    weight = gp->giveWeight();
    detJ = fabs( this->interp.giveTransformationJacobian( gp->giveNaturalCoordinates(), FEIVertexListGeometryWrapper(lc) ) );
    return detJ * weight * this->giveStructuralCrossSection()->give(CS_Thickness, gp);
}


void
TrPlaneStrRot3d :: giveNodeCoordinates(FloatArray &x, FloatArray &y)
{
    FloatArray nc1(3), nc2(3), nc3(3);

    this->giveLocalCoordinates( nc1, * ( this->giveNode(1)->giveCoordinates() ) );
    this->giveLocalCoordinates( nc2, * ( this->giveNode(2)->giveCoordinates() ) );
    this->giveLocalCoordinates( nc3, * ( this->giveNode(3)->giveCoordinates() ) );

    x.resize(3);
    x.at(1) = nc1.at(1);
    x.at(2) = nc2.at(1);
    x.at(3) = nc3.at(1);

    y.resize(3);
    y.at(1) = nc1.at(2);
    y.at(2) = nc2.at(2);
    y.at(3) = nc3.at(2);

    //if (z) {
    //  z[0] = nc1->at(3);
    //  z[1] = nc2->at(3);
    //  z[2] = nc3->at(3);
    //}
}


void
TrPlaneStrRot3d :: giveDofManDofIDMask(int inode, IntArray &answer) const
{
    answer = {D_u, D_v, D_w, R_u, R_v, R_w};
}


const FloatMatrix *
TrPlaneStrRot3d :: computeGtoLRotationMatrix()
// Returns the rotation matrix of the receiver of the size [3,3]
// coords(local) = T * coords(global)
//
// local coordinate (described by vector triplet e1',e2',e3') is defined as follows:
//
// e1'    : [N2-N1]    Ni - means i - th node
// help   : [N3-N1]
// e3'    : e1' x help
// e2'    : e3' x e1'
{
    if ( !GtoLRotationMatrix.isNotEmpty() ) {
        FloatArray e1, e2, e3, help;

        // compute e1' = [N2-N1]  and  help = [N3-N1]
        e1.beDifferenceOf( * this->giveNode(2)->giveCoordinates(),  * this->giveNode(1)->giveCoordinates() );
        help.beDifferenceOf( * this->giveNode(3)->giveCoordinates(),  * this->giveNode(1)->giveCoordinates() );

        // let us normalize e1'
        e1.normalize();

        // compute e3' : vector product of e1' x help
        e3.beVectorProductOf(e1, help);
        // let us normalize
        e3.normalize();

        // now from e3' x e1' compute e2'
        e2.beVectorProductOf(e3, e1);

        //
        GtoLRotationMatrix.resize(3, 3);

        for ( int i = 1; i <= 3; i++ ) {
            GtoLRotationMatrix.at(1, i) = e1.at(i);
            GtoLRotationMatrix.at(2, i) = e2.at(i);
            GtoLRotationMatrix.at(3, i) = e3.at(i);
        }
    }

    return &GtoLRotationMatrix;
}


bool
TrPlaneStrRot3d :: computeGtoLRotationMatrix(FloatMatrix &answer)
// Returns the rotation matrix of the receiver of the size [9,18]
// r(local) = T * r(global)
// for one node (r written transposed): {u,v,r3} = T * {u,v,w,r1,r2,r3}
{
    // test if pereviously computed
    if ( !GtoLRotationMatrix.isNotEmpty() ) {
        this->computeGtoLRotationMatrix();
    }

    answer.resize(9, 18);
    answer.zero();

    for ( int i = 1; i <= 3; i++ ) {
        answer.at(1, i) = answer.at(1 + 3, i  + 6) = answer.at(1 + 6, i  + 12) = GtoLRotationMatrix.at(1, i);
        answer.at(2, i) = answer.at(2 + 3, i  + 6) = answer.at(2 + 6, i  + 12) = GtoLRotationMatrix.at(2, i);
        answer.at(3, i + 3) = answer.at(3 + 3, i + 3 + 6) = answer.at(3 + 6, i + 3 + 12) = GtoLRotationMatrix.at(3, i);
    }

    return 1;
}


void
TrPlaneStrRot3d :: giveCharacteristicTensor(FloatMatrix &answer, CharTensor type, GaussPoint *gp, TimeStep *tStep)
// returns characteristic tensor of the receiver at given gp and tStep
// strain vector = (Eps_X, Eps_y, Gamma_xy, Kappa_z)
{
    FloatArray charVect;
    StructuralMaterialStatus *ms = static_cast< StructuralMaterialStatus * >( gp->giveMaterialStatus() );

    answer.resize(3, 3);
    answer.zero();

    if ( type == LocalForceTensor || type == GlobalForceTensor ) {
        //this->computeStressVector(charVect, gp, tStep);
        charVect = ms->giveStressVector();

        double h = this->giveStructuralCrossSection()->give(CS_Thickness, gp);
        answer.at(1, 1) = charVect.at(1) * h;
        answer.at(2, 2) = charVect.at(2) * h;
        answer.at(1, 2) = charVect.at(3) * h;
        answer.at(2, 1) = charVect.at(3) * h;
    } else if ( type == LocalMomentTensor || type == GlobalMomentTensor ) {
        //this->computeStressVector(charVect, gp, tStep);
        charVect = ms->giveStressVector();

        answer.at(3, 3) = charVect.at(4);
    } else if ( type == LocalStrainTensor || type == GlobalStrainTensor ) {
        //this->computeStrainVector(charVect, gp, tStep);
        charVect = ms->giveStrainVector();

        answer.at(1, 1) = charVect.at(1);
        answer.at(2, 2) = charVect.at(2);
        answer.at(1, 2) = charVect.at(3) / 2.;
        answer.at(2, 1) = charVect.at(3) / 2.;
    } else if ( type == LocalCurvatureTensor || type == GlobalCurvatureTensor ) {
        //this->computeStrainVector(charVect, gp, tStep);
        charVect = ms->giveStrainVector();

        answer.at(3, 3) = charVect.at(4);
    } else {
        OOFEM_ERROR("unsupported tensor mode");
        exit(1);
    }

    if ( type == GlobalForceTensor || type == GlobalMomentTensor ||
         type == GlobalStrainTensor || type == GlobalCurvatureTensor ) {
        this->computeGtoLRotationMatrix();
        answer.rotatedWith(GtoLRotationMatrix);
    }
}


int
TrPlaneStrRot3d :: giveIPValue(FloatArray &answer, GaussPoint *gp, InternalStateType type, TimeStep *tStep)
{
    FloatMatrix globTensor;
    CharTensor cht;

    answer.resize(6);

    if ( type == IST_CurvatureTensor || type == IST_ShellStrainTensor ) {
        if ( type == IST_CurvatureTensor ) {
            cht = GlobalCurvatureTensor;
        } else {
            cht = GlobalStrainTensor;
        }

        this->giveCharacteristicTensor(globTensor, cht, gp, tStep);

        answer.at(1) = globTensor.at(1, 1); //xx
        answer.at(2) = globTensor.at(2, 2); //yy
        answer.at(3) = globTensor.at(3, 3); //zz
        answer.at(4) = 2 * globTensor.at(2, 3); //yz
        answer.at(5) = 2 * globTensor.at(1, 3); //xz
        answer.at(6) = 2 * globTensor.at(1, 2); //xy

        return 1;
    } else if ( type == IST_ShellMomentTensor || type == IST_ShellForceTensor ) {
        if ( type == IST_ShellMomentTensor ) {
            cht = GlobalMomentTensor;
        } else {
            cht = GlobalForceTensor;
        }

        this->giveCharacteristicTensor(globTensor, cht, gp, tStep);

        answer.at(1) = globTensor.at(1, 1); //xx
        answer.at(2) = globTensor.at(2, 2); //yy
        answer.at(3) = globTensor.at(3, 3); //zz
        answer.at(4) = globTensor.at(2, 3); //yz
        answer.at(5) = globTensor.at(1, 3); //xz
        answer.at(6) = globTensor.at(1, 2); //xy

        return 1;
    } else {
        return TrPlaneStrRot :: giveIPValue(answer, gp, type, tStep);
    }
}

int
TrPlaneStrRot3d :: computeLoadGToLRotationMtrx(FloatMatrix &answer)
// Returns the rotation matrix of the receiver of the size [6,6]
// f(local) = T * f(global)
{
    // test if previously computed
    if ( !GtoLRotationMatrix.isNotEmpty() ) {
        this->computeGtoLRotationMatrix();
    }

    answer.resize(6, 6);
    answer.zero();

    for ( int i = 1; i <= 3; i++ ) {
        answer.at(1, i) = answer.at(4, i + 3) = GtoLRotationMatrix.at(1, i);
        answer.at(2, i) = answer.at(5, i + 3) = GtoLRotationMatrix.at(2, i);
        answer.at(3, i) = answer.at(6, i + 3) = GtoLRotationMatrix.at(3, i);
    }

    return 1;
}


void
TrPlaneStrRot3d :: computeBodyLoadVectorAt(FloatArray &answer, Load *forLoad, TimeStep *tStep, ValueModeType mode)
// Computes numerically the load vector of the receiver due to the body loads, at tStep.
// load is assumed to be in global cs.
// load vector is then transformed to coordinate system in each node.
// (should be global coordinate system, but there may be defined
//  different coordinate system in each node)
{
    double dens, dV, load;
    FloatArray force;
    FloatMatrix T;

    if ( ( forLoad->giveBCGeoType() != BodyLoadBGT ) || ( forLoad->giveBCValType() != ForceLoadBVT ) ) {
        OOFEM_ERROR("unknown load type");
    }

    // note: force is assumed to be in global coordinate system; 6 components
    forLoad->computeComponentArrayAt(force, tStep, mode);
    // get it in local c.s.
    this->computeLoadGToLRotationMtrx(T);
    force.rotatedWith(T, 'n');

    if ( force.giveSize() ) {
      GaussIntegrationRule iRule (1, this, 1, 1);
      iRule.SetUpPointsOnTriangle(1, _Unknown);
      GaussPoint *gp = iRule.getIntegrationPoint(0);

        dens = this->giveStructuralCrossSection()->give('d', gp);
        dV   = this->computeVolumeAround(gp);// * this->giveCrossSection()->give(CS_Thickness, gp);

        answer.resize(9);
        answer.zero();

        load = force.at(1) * dens * dV / 3.0;
        answer.at(1) = load;
        answer.at(4) = load;
        answer.at(7) = load;

        load = force.at(2) * dens * dV / 3.0;
        answer.at(2) = load;
        answer.at(5) = load;
        answer.at(8) = load;

        load = force.at(6) * dens * dV / 3.0;
        answer.at(3) = load;
        answer.at(6) = load;
        answer.at(9) = load;

        // transform result from global cs to local element cs.
        //if ( this->computeGtoLRotationMatrix(T) ) {
        //    answer.rotatedWith(T, 'n');
        //}
    } else {
        answer.clear();          // nil resultant
    }
}

void
TrPlaneStrRot3d :: computeSurfaceNMatrixAt(FloatMatrix &answer, int iSurf, GaussPoint *sgp)
{
    FloatMatrix ne;
    this->computeNmatrixAt(sgp->giveNaturalCoordinates(), ne);

    answer.resize(6, 18);
    answer.zero();
    int ri[] = {
        0, 1, 5
    };
    int ci[] = {
        0, 1, 5, 6, 7, 11, 12, 13, 17
    };

    for ( int i = 0; i < 3; i++ ) {
        for ( int j = 0; j < 9; j++ ) {
            answer(ri [ i ], ci [ j ]) = ne(i, j);
        }
    }
}

void
TrPlaneStrRot3d :: giveSurfaceDofMapping(IntArray &answer, int iSurf) const
{
    answer.resize(18);
    answer.zero();
    if ( iSurf == 1 ) {
        answer.at(1) = 1; // node 1
        answer.at(2) = 2;
        answer.at(6) = 3;

        answer.at(7)  = 4; // node 2
        answer.at(8)  = 5;
        answer.at(12) = 6;

        answer.at(13) = 7; // node 3
        answer.at(14) = 8;
        answer.at(18) = 9;
    } else {
        OOFEM_ERROR("wrong surface number");
    }
}

IntegrationRule *
TrPlaneStrRot3d :: GetSurfaceIntegrationRule(int approxOrder)
{
    IntegrationRule *iRule = new GaussIntegrationRule(1, this, 1, 1);
    int npoints = iRule->getRequiredNumberOfIntegrationPoints(_Triangle, approxOrder);
    iRule->SetUpPointsOnTriangle(npoints, _Unknown);
    return iRule;
}

double
TrPlaneStrRot3d :: computeSurfaceVolumeAround(GaussPoint *gp, int iSurf)
{
    return this->computeVolumeAround(gp);
}


int
TrPlaneStrRot3d :: computeLoadLSToLRotationMatrix(FloatMatrix &answer, int isurf, GaussPoint *gp)
{
    return 0;
}


void
TrPlaneStrRot3d :: printOutputAt(FILE *file, TimeStep *tStep)
// Performs end-of-step operations.
{
    FloatArray v;

    fprintf( file, "element %d (%8d) :\n", this->giveLabel(), this->giveNumber() );

    for ( int i = 0; i < (int)integrationRulesArray.size(); i++ ) {
        for ( GaussPoint *gp: *integrationRulesArray [ i ] ) {

            fprintf( file, "  GP %2d.%-2d :", i + 1, gp->giveNumber() );

            this->giveIPValue(v, gp, IST_ShellStrainTensor, tStep);
            fprintf(file, "  strains    ");
            for ( auto &val : v ) fprintf(file, " %.4e", val);

            this->giveIPValue(v, gp, IST_CurvatureTensor, tStep);
            fprintf(file, "\n              curvatures ");
            for ( auto &val : v ) fprintf(file, " %.4e", val);

            // Forces - Moments
            this->giveIPValue(v, gp, IST_ShellForceTensor, tStep);
            fprintf(file, "\n              stresses   ");
            for ( auto &val : v ) fprintf(file, " %.4e", val);

            this->giveIPValue(v, gp, IST_ShellMomentTensor, tStep);
            fprintf(file, "\n              moments    ");
            for ( auto &val : v ) fprintf(file, " %.4e", val);

            fprintf(file, "\n");
        }
    }
}
} // end namespace oofem