libeam3d.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/Beams/libeam3d.h"
#include "../sm/Materials/structuralms.h"
#include "node.h"
#include "material.h"
#include "crosssection.h"
#include "gausspoint.h"
#include "gaussintegrationrule.h"
#include "floatmatrix.h"
#include "intarray.h"
#include "floatarray.h"
#include "mathfem.h"
#include "classfactory.h"

#ifdef __OOFEG
 #include "oofeggraphiccontext.h"
#endif

namespace oofem {
REGISTER_Element(LIBeam3d);

LIBeam3d :: LIBeam3d(int n, Domain *aDomain) : StructuralElement(n, aDomain)
    // Constructor.
{
    numberOfDofMans     = 2;
    referenceNode       = 0;
    length              = 0.;
}


void
LIBeam3d :: computeBmatrixAt(GaussPoint *gp, FloatMatrix &answer, int li, int ui)
// Returns the strain matrix of the receiver.
// eeps = {\eps_x, \gamma_xz, \gamma_xy, \der{phi_x}{x}, \kappa_y, \kappa_z}^T
{
    double l, ksi, n1, n2, n1x, n2x;

    l     = this->computeLength();
    ksi   = gp->giveNaturalCoordinate(1);

    answer.resize(6, 12);
    answer.zero();

    n1    = 0.5 * ( 1 - ksi );
    n2    = 0.5 * ( 1. + ksi );
    n1x   = -1.0 / l;
    n2x   =  1.0 / l;

    answer.at(1, 1) =  -1. / l;
    answer.at(1, 7) =   1. / l;

    answer.at(2, 3)  = n1x;
    answer.at(2, 5)  = n1;
    answer.at(2, 9)  = n2x;
    answer.at(2, 11) = n2;

    answer.at(3, 2)  = n1x;
    answer.at(3, 6)  = -n1;
    answer.at(3, 8)  = n2x;
    answer.at(3, 12) = -n2;

    answer.at(4, 4)  =  -1. / l;
    answer.at(4, 10) =   1. / l;

    answer.at(5, 5)  = n1x;
    answer.at(5, 11) = n2x;

    answer.at(6, 6)  = n1x;
    answer.at(6, 12) = n2x;
}


void
LIBeam3d :: computeGaussPoints()
// Sets up the array of Gauss Points of the receiver.
{
    if ( integrationRulesArray.size() == 0 ) {
        integrationRulesArray.resize( 1 );
        integrationRulesArray [ 0 ].reset( new GaussIntegrationRule(1, this, 1, 2) );
        this->giveCrossSection()->setupIntegrationPoints(* integrationRulesArray [ 0 ], 1, this);
    }
}


void
LIBeam3d :: computeConstitutiveMatrixAt(FloatMatrix &answer, MatResponseMode rMode, GaussPoint *gp, TimeStep *tStep)
{
    this->giveStructuralCrossSection()->give3dBeamStiffMtrx(answer, rMode, gp, tStep);
}


void
LIBeam3d :: computeStressVector(FloatArray &answer, const FloatArray &strain, GaussPoint *gp, TimeStep *tStep)
{
    this->giveStructuralCrossSection()->giveGeneralizedStress_Beam3d(answer, gp, strain, tStep);
}


void
LIBeam3d :: computeLumpedMassMatrix(FloatMatrix &answer, TimeStep *tStep)
// Returns the lumped mass matrix of the receiver. This expression is
// valid in both local and global axes.
{
    GaussPoint *gp = integrationRulesArray [ 0 ]->getIntegrationPoint(0);
    double density = this->giveStructuralCrossSection()->give('d', gp);
    double halfMass = density * this->giveCrossSection()->give(CS_Area, gp) * this->computeLength() / 2.;
    answer.resize(12, 12);
    answer.zero();
    answer.at(1, 1) = answer.at(2, 2) = answer.at(3, 3) = halfMass;
    answer.at(7, 7) = answer.at(8, 8) = answer.at(9, 9) = halfMass;
}


void
LIBeam3d :: computeNmatrixAt(const FloatArray &iLocCoord, FloatMatrix &answer)
// Returns the displacement interpolation matrix {N} of the receiver, eva-
// luated at gp.
{
    double ksi, n1, n2;

    ksi = iLocCoord.at(1);
    n1  = ( 1. - ksi ) * 0.5;
    n2  = ( 1. + ksi ) * 0.5;

    answer.resize(6, 12);
    answer.zero();

    answer.at(1, 1) = n1;
    answer.at(1, 7) = n2;
    answer.at(2, 2) = n1;
    answer.at(2, 8) = n2;
    answer.at(3, 3) = n1;
    answer.at(3, 9) = n2;

    answer.at(4, 4) = n1;
    answer.at(4, 10) = n2;
    answer.at(5, 5) = n1;
    answer.at(5, 11) = n2;
    answer.at(6, 6) = n1;
    answer.at(6, 12) = n2;
}

void
LIBeam3d :: computeStiffnessMatrix(FloatMatrix &answer, MatResponseMode rMode, TimeStep *tStep)
// Returns the stiffness matrix of the receiver, expressed in the global
// axes.
{
    StructuralElement :: computeStiffnessMatrix(answer, rMode, tStep);
}


bool
LIBeam3d :: computeGtoLRotationMatrix(FloatMatrix &answer)
{
    FloatMatrix lcs;

    answer.resize(12, 12);
    answer.zero();

    this->giveLocalCoordinateSystem(lcs);
    for ( int i = 1; i <= 3; i++ ) {
        for ( int j = 1; j <= 3; j++ ) {
            answer.at(i, j) = lcs.at(i, j);
            answer.at(i + 3, j + 3) = lcs.at(i, j);
            answer.at(i + 6, j + 6) = lcs.at(i, j);
            answer.at(i + 9, j + 9) = lcs.at(i, j);
        }
    }
    return true;
}


double
LIBeam3d :: computeVolumeAround(GaussPoint *gp)
// Returns the length of the receiver. This method is valid only if 1
// Gauss point is used.
{
    double weight  = gp->giveWeight();
    return weight * 0.5 * this->computeLength();
}


int
LIBeam3d :: giveIPValue(FloatArray &answer, GaussPoint *gp, InternalStateType type, TimeStep *tStep)
{
    if ( type == IST_BeamForceMomentTensor ) {
        answer = static_cast< StructuralMaterialStatus * >( gp->giveMaterialStatus() )->giveStressVector();
        return 1;
    } else if ( type == IST_BeamStrainCurvatureTensor ) {
        answer = static_cast< StructuralMaterialStatus * >( gp->giveMaterialStatus() )->giveStrainVector();
        return 1;
    } else {
        return StructuralElement :: giveIPValue(answer, gp, type, tStep);
    }
}


void
LIBeam3d :: giveDofManDofIDMask(int inode, IntArray &answer) const
{
    answer = {D_u, D_v, D_w, R_u, R_v, R_w};
}


int
LIBeam3d :: computeGlobalCoordinates(FloatArray &answer, const FloatArray &lcoords)
{
    double ksi, n1, n2;

    ksi = lcoords.at(1);
    n1 = ( 1. - ksi ) * 0.5;
    n2 = ( 1. + ksi ) * 0.5;

    answer.resize(3);
    answer.at(1) = n1 * this->giveNode(1)->giveCoordinate(1) + n2 *this->giveNode(2)->giveCoordinate(1);
    answer.at(2) = n1 * this->giveNode(1)->giveCoordinate(2) + n2 *this->giveNode(2)->giveCoordinate(2);
    answer.at(3) = n1 * this->giveNode(1)->giveCoordinate(3) + n2 *this->giveNode(2)->giveCoordinate(3);

    return 1;
}


int
LIBeam3d :: testElementExtension(ElementExtension ext)
{
    return ( ( ext == Element_EdgeLoadSupport ) ? 1 : 0 );
}


double
LIBeam3d :: computeLength()
// Returns the length of the receiver.
{
    double dx, dy, dz;
    Node *nodeA, *nodeB;

    if ( length == 0. ) {
        nodeA   = this->giveNode(1);
        nodeB   = this->giveNode(2);
        dx      = nodeB->giveCoordinate(1) - nodeA->giveCoordinate(1);
        dy      = nodeB->giveCoordinate(2) - nodeA->giveCoordinate(2);
        dz      = nodeB->giveCoordinate(3) - nodeA->giveCoordinate(3);
        length  = sqrt(dx * dx + dy * dy + dz * dz);
    }

    return length;
}


IRResultType
LIBeam3d :: initializeFrom(InputRecord *ir)
{
    IRResultType result;                // Required by IR_GIVE_FIELD macro

    IR_GIVE_FIELD(ir, referenceNode, _IFT_LIBeam3d_refnode);
    if ( referenceNode == 0 ) {
        OOFEM_ERROR("wrong reference node specified");
    }

    //  if (this->hasString (initString, "dofstocondense")) {
    //    dofsToCondense = this->ReadIntArray (initString, "dofstocondense");
    //    if (dofsToCondense->giveSize() >= 12)
    //      OOFEM_ERROR("wrong input data for condensed dofs");
    //  } else {
    //    dofsToCondense = NULL;
    //  }

    return StructuralElement :: initializeFrom(ir);
}


void
LIBeam3d :: giveEdgeDofMapping(IntArray &answer, int iEdge) const
{
    /*
     * provides dof mapping of local edge dofs (only nonzero are taken into account)
     * to global element dofs
     */
    if ( iEdge != 1 ) {
        OOFEM_ERROR("wrong edge number");
    }


    answer.resize(12);
    for ( int i = 1; i <= 12; i++ ) {
        answer.at(i) = i;
    }
}

double
LIBeam3d ::   computeEdgeVolumeAround(GaussPoint *gp, int iEdge)
{
    if ( iEdge != 1 ) { // edge between nodes 1 2
        OOFEM_ERROR("wrong egde number");
    }

    double weight  = gp->giveWeight();
    return 0.5 * this->computeLength() * weight;
}

int
LIBeam3d :: computeLoadGToLRotationMtrx(FloatMatrix &answer)
{
    /*
     * Returns transformation matrix from global coordinate system to local
     * element coordinate system for element load vector components.
     * If no transformation is necessary, answer is empty matrix (default);
     */

    // f(elemLocal) = T * f (global)

    FloatMatrix lcs;

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

    this->giveLocalCoordinateSystem(lcs);
    for ( int i = 1; i <= 3; i++ ) {
        for ( int j = 1; j <= 3; j++ ) {
            answer.at(i, j) = lcs.at(i, j);
            answer.at(3 + i, 3 + j) = lcs.at(i, j);
        }
    }
    return 1;
}


int
LIBeam3d :: computeLoadLEToLRotationMatrix(FloatMatrix &answer, int iEdge, GaussPoint *gp)
{
    // returns transformation matrix from
    // edge local coordinate system
    // to element local c.s
    // (same as global c.s in this case)
    //
    // i.e. f(element local) = T * f(edge local)
    //
    answer.clear();
    return 0;
}

void
LIBeam3d :: computeBodyLoadVectorAt(FloatArray &answer, Load *load, TimeStep *tStep, ValueModeType mode)
{
    FloatArray lc(1);
    StructuralElement :: computeBodyLoadVectorAt(answer, load, tStep, mode);
    answer.times( this->giveCrossSection()->give(CS_Area, lc, this) );
}

int
LIBeam3d :: giveLocalCoordinateSystem(FloatMatrix &answer)
//
// returns a unit vectors of local coordinate system at element
// stored rowwise (mainly used by some materials with ortho and anisotrophy)
//
{
    FloatArray lx(3), ly(3), lz(3), help(3);
    double length = this->computeLength();
    Node *nodeA, *nodeB, *refNode;

    answer.resize(3, 3);
    answer.zero();
    nodeA  = this->giveNode(1);
    nodeB  = this->giveNode(2);
    refNode = this->giveDomain()->giveNode(this->referenceNode);

    for ( int i = 1; i <= 3; i++ ) {
        lx.at(i) = ( nodeB->giveCoordinate(i) - nodeA->giveCoordinate(i) ) / length;
        help.at(i) = ( refNode->giveCoordinate(i) - nodeA->giveCoordinate(i) );
    }

    lz.beVectorProductOf(lx, help);
    lz.normalize();
    ly.beVectorProductOf(lz, lx);
    ly.normalize();

    for ( int i = 1; i <= 3; i++ ) {
        answer.at(1, i) = lx.at(i);
        answer.at(2, i) = ly.at(i);
        answer.at(3, i) = lz.at(i);
    }

    return 1;
}

void
LIBeam3d :: FiberedCrossSectionInterface_computeStrainVectorInFiber(FloatArray &answer, const FloatArray &masterGpStrain,
                                                                    GaussPoint *slaveGp, TimeStep *tStep)
{
    double layerYCoord, layerZCoord;

    layerZCoord = slaveGp->giveNaturalCoordinate(2);
    layerYCoord = slaveGp->giveNaturalCoordinate(1);

    answer.resize(3); // {Exx,GMzx,GMxy}

    answer.at(1) = masterGpStrain.at(1) + masterGpStrain.at(5) * layerZCoord - masterGpStrain.at(6) * layerYCoord;
    answer.at(2) = masterGpStrain.at(2);
    answer.at(3) = masterGpStrain.at(3);
}

Interface *
LIBeam3d :: giveInterface(InterfaceType interface)
{
    if ( interface == FiberedCrossSectionInterfaceType ) {
        return static_cast< FiberedCrossSectionInterface * >(this);
    }

    return NULL;
}


#ifdef __OOFEG
void
LIBeam3d :: drawRawGeometry(oofegGraphicContext &gc, TimeStep *tStep)
{
    GraphicObj *go;

    if ( !gc.testElementGraphicActivity(this) ) {
        return;
    }

    //  if (!go) { // create new one
    WCRec p [ 2 ];   /* poin */
    EASValsSetLineWidth(OOFEG_RAW_GEOMETRY_WIDTH);
    EASValsSetColor( gc.getElementColor() );
    EASValsSetLayer(OOFEG_RAW_GEOMETRY_LAYER);
    p [ 0 ].x = ( FPNum ) this->giveNode(1)->giveCoordinate(1);
    p [ 0 ].y = ( FPNum ) this->giveNode(1)->giveCoordinate(2);
    p [ 0 ].z = ( FPNum ) this->giveNode(1)->giveCoordinate(3);
    p [ 1 ].x = ( FPNum ) this->giveNode(2)->giveCoordinate(1);
    p [ 1 ].y = ( FPNum ) this->giveNode(2)->giveCoordinate(2);
    p [ 1 ].z = ( FPNum ) this->giveNode(2)->giveCoordinate(3);
    go = CreateLine3D(p);
    EGWithMaskChangeAttributes(WIDTH_MASK | COLOR_MASK | LAYER_MASK, go);
    EGAttachObject(go, ( EObjectP ) this);
    EMAddGraphicsToModel(ESIModel(), go);
}


void
LIBeam3d :: drawDeformedGeometry(oofegGraphicContext &gc, TimeStep *tStep, UnknownType type)
{
    GraphicObj *go;

    if ( !gc.testElementGraphicActivity(this) ) {
        return;
    }

    double defScale = gc.getDefScale();
    //  if (!go) { // create new one
    WCRec p [ 2 ]; /* poin */
    EASValsSetLineWidth(OOFEG_DEFORMED_GEOMETRY_WIDTH);
    EASValsSetColor( gc.getDeformedElementColor() );
    EASValsSetLayer(OOFEG_DEFORMED_GEOMETRY_LAYER);
    p [ 0 ].x = ( FPNum ) this->giveNode(1)->giveUpdatedCoordinate(1, tStep, defScale);
    p [ 0 ].y = ( FPNum ) this->giveNode(1)->giveUpdatedCoordinate(2, tStep, defScale);
    p [ 0 ].z = ( FPNum ) this->giveNode(1)->giveUpdatedCoordinate(3, tStep, defScale);

    p [ 1 ].x = ( FPNum ) this->giveNode(2)->giveUpdatedCoordinate(1, tStep, defScale);
    p [ 1 ].y = ( FPNum ) this->giveNode(2)->giveUpdatedCoordinate(2, tStep, defScale);
    p [ 1 ].z = ( FPNum ) this->giveNode(2)->giveUpdatedCoordinate(3, tStep, defScale);
    go = CreateLine3D(p);
    EGWithMaskChangeAttributes(WIDTH_MASK | COLOR_MASK | LAYER_MASK, go);
    EMAddGraphicsToModel(ESIModel(), go);
}
#endif
} // end namespace oofem