libeam3d2.C

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/*
 *
 *                 #####    #####   ######  ######  ###   ###
 *               ##   ##  ##   ##  ##      ##      ## ### ##
 *              ##   ##  ##   ##  ####    ####    ##  #  ##
 *             ##   ##  ##   ##  ##      ##      ##     ##
 *            ##   ##  ##   ##  ##      ##      ##     ##
 *            #####    #####   ##      ######  ##     ##
 *
 *
 *             OOFEM : Object Oriented Finite Element Code
 *
 *               Copyright (C) 1993 - 2025   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/libeam3d2.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 "timestep.h"
#include "contextioerr.h"
#include "mathfem.h"
#include "classfactory.h"
#include "engngm.h"
#include "parametermanager.h"
#include "paramkey.h"
 
#ifdef __OOFEG
 #include "oofeggraphiccontext.h"
 #include "oofegutils.h"
 #include "connectivitytable.h"
#endif
 
namespace oofem {
REGISTER_Element(LIBeam3d2);
ParamKey LIBeam3d2::IPK_LIBeam3d2_refnode("refnode");
 
LIBeam3d2::LIBeam3d2(int n, Domain *aDomain) : NLStructuralElement(n, aDomain), tc(), tempTc()
{
    numberOfDofMans     = 2;
    referenceNode       = 0;
    length              = 0.;
 
    tempTcCounter       = 0;
}
 
 
void
LIBeam3d2::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;
 
    if ( this->nlGeometry ) {
        l = this->giveCurrentLength(domain->giveEngngModel()->giveCurrentStep() );
    } else {
        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
LIBeam3d2::computeGaussPoints()
// Sets up the array of Gauss Points of the receiver.
{
    if ( integrationRulesArray.size() == 0 ) {
        integrationRulesArray.resize(1);
        integrationRulesArray [ 0 ] = std::make_unique< GaussIntegrationRule >(1, this, 1, 2);
        this->giveCrossSection()->setupIntegrationPoints(* integrationRulesArray [ 0 ], 1, this);
    }
}
 
 
 
void
LIBeam3d2::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
LIBeam3d2::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
LIBeam3d2::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
LIBeam3d2::computeGtoLRotationMatrix(FloatMatrix &answer)
{
    answer.resize(12, 12);
    answer.zero();
 
    if ( this->nlGeometry  ==  0 ) {
        FloatMatrix lcs;
 
        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);
            }
        }
    } else {
        this->updateTempTriad(domain->giveEngngModel()->giveCurrentStep() );
 
        for ( int i = 1; i <= 3; i++ ) {
            for ( int j = 1; j <= 3; j++ ) {
                answer.at(i, j) = tempTc.at(j, i);
                answer.at(i + 3, j + 3) = tempTc.at(j, i);
                answer.at(i + 6, j + 6) = tempTc.at(j, i);
                answer.at(i + 9, j + 9) = tempTc.at(j, i);
            }
        }
    }
 
    return 1;
}
 
 
double
LIBeam3d2::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();
}
 
 
void
LIBeam3d2::giveDofManDofIDMask(int inode, IntArray &answer) const
{
    answer = { D_u, D_v, D_w, R_u, R_v, R_w };
}
 
 
int
LIBeam3d2::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;
}
 
 
void
LIBeam3d2::computeConstitutiveMatrixAt(FloatMatrix &answer, MatResponseMode rMode, GaussPoint *gp, TimeStep *tStep)
{
    answer = this->giveStructuralCrossSection()->give3dBeamStiffMtrx(rMode, gp, tStep);
}
 
void
LIBeam3d2::computeConstitutiveMatrix_dPdF_At(FloatMatrix &answer, MatResponseMode rMode, GaussPoint *gp, TimeStep *tStep)
{
    OOFEM_ERROR("computeConstitutiveMatrix_dPdF_At Not implemented");
}
 
 
void
LIBeam3d2::computeStressVector(FloatArray &answer, const FloatArray &strain, GaussPoint *gp, TimeStep *tStep)
{
    answer = this->giveStructuralCrossSection()->giveGeneralizedStress_Beam3d(strain, gp, tStep);
}
 
 
int
LIBeam3d2::testElementExtension(ElementExtension ext)
{
    return ( ( ext == Element_EdgeLoadSupport ) ? 1 : 0 );
}
 
 
double
LIBeam3d2::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;
}
 
 
void
LIBeam3d2::initializeFrom(InputRecord &ir, int priority)
{
    // first call parent
    NLStructuralElement::initializeFrom(ir, priority);
    ParameterManager &ppm = domain->elementPPM;
    PM_UPDATE_PARAMETER(referenceNode, ppm, ir, this->number, IPK_LIBeam3d2_refnode, priority) ;
}
 
void
LIBeam3d2::postInitialize()
{
    ParameterManager &ppm = domain->elementPPM;
 
    NLStructuralElement::postInitialize();
    PM_ELEMENT_ERROR_IFNOTSET(ppm, this->number, IPK_LIBeam3d2_refnode) ;
    if ( referenceNode == 0 ) {
        OOFEM_ERROR("wrong reference node specified.");
    }
    FloatMatrix lcs;
    this->giveLocalCoordinateSystem(lcs);
    this->tc.beTranspositionOf(lcs);
}
 
void
LIBeam3d2::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
LIBeam3d2::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
LIBeam3d2::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;
}
 
 
void
LIBeam3d2::computeBodyLoadVectorAt(FloatArray &answer, Load *load, TimeStep *tStep, ValueModeType mode)
{
    FloatArray lc(1);
    NLStructuralElement::computeBodyLoadVectorAt(answer, load, tStep, mode);
    answer.times(this->giveCrossSection()->give(CS_Area, lc, this) );
}
 
 
int
LIBeam3d2::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;
}
 
 
int
LIBeam3d2::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
LIBeam3d2::updateTempTriad(TimeStep *tStep)
{
    // test if not previously done
    if ( tStep->giveSolutionStateCounter() == tempTcCounter ) {
        return;
    }
 
    FloatArray u, centreSpin(3);
    FloatMatrix dR(3, 3);
 
    // ask element's displacement increments
    this->computeVectorOf(VM_Incremental, tStep, u);
 
    // interpolate spin at the centre
    centreSpin.at(1) = 0.5 * ( u.at(4) + u.at(10) );
    centreSpin.at(2) = 0.5 * ( u.at(5) + u.at(11) );
    centreSpin.at(3) = 0.5 * ( u.at(6) + u.at(12) );
 
    // compute rotation matrix from centreSpin pseudovector
    this->computeRotMtrx(dR, centreSpin);
 
    // update triad
    tempTc.beProductOf(dR, tc);
    // remember timestamp
    tempTcCounter = tStep->giveSolutionStateCounter();
}
 
 
void
LIBeam3d2::computeRotMtrx(FloatMatrix &answer, FloatArray &psi)
{
    FloatMatrix S(3, 3), SS(3, 3);
    double psiSize;
 
    if ( psi.giveSize() != 3 ) {
        OOFEM_ERROR("psi param size mismatch");
    }
 
    answer.resize(3, 3);
    answer.zero();
 
    psiSize = psi.computeNorm();
    answer.at(1, 1) = answer.at(2, 2) = answer.at(3, 3) = 1.;
 
    if ( psiSize <= 1.e-40 ) {
        return;
    }
 
    this->computeSMtrx(S, psi);
    SS.beProductOf(S, S);
    S.times(sin(psiSize) / psiSize);
    SS.times( ( 1. - cos(psiSize) ) / ( psiSize * psiSize ) );
 
    answer.add(S);
    answer.add(SS);
}
 
 
void
LIBeam3d2::computeSMtrx(FloatMatrix &answer, FloatArray &vec)
{
    if ( vec.giveSize() != 3 ) {
        OOFEM_ERROR("vec param size mismatch");
    }
 
    answer.resize(3, 3);
 
    answer.at(1, 1) = answer.at(2, 2) = answer.at(3, 3) = 0.;
    answer.at(1, 2) = -vec.at(3);
    answer.at(1, 3) =  vec.at(2);
    answer.at(2, 1) =  vec.at(3);
    answer.at(2, 3) = -vec.at(1);
    answer.at(3, 1) = -vec.at(2);
    answer.at(3, 2) =  vec.at(1);
}
 
 
void
LIBeam3d2::computeStrainVector(FloatArray &answer, GaussPoint *gp, TimeStep *tStep)
{
    FloatArray ui, PrevEpsilon;
    FloatMatrix b;
 
    this->computeVectorOf(VM_Incremental, tStep, ui);
 
    this->computeBmatrixAt(gp, b);
    // increment of strains
    answer.beProductOf(b, ui);
 
    if ( this->nlGeometry ) {
        // add increment to previous total value
        PrevEpsilon = static_cast< StructuralMaterialStatus * >( gp->giveMaterialStatus() )->giveStrainVector();
        if ( PrevEpsilon.giveSize() ) {
            answer.add(PrevEpsilon);
        }
    }
}
 
 
double
LIBeam3d2::giveCurrentLength(TimeStep *tStep)
// Returns the length of the receiver.
{
    double dx, dy, dz;
    FloatArray u;
 
    this->computeVectorOf(VM_Total, tStep, u);
 
    dx = ( this->giveNode(2)->giveCoordinate(1) + u.at(7) ) -
         ( this->giveNode(1)->giveCoordinate(1) + u.at(1) );
    dy = ( this->giveNode(2)->giveCoordinate(2) + u.at(8) ) -
         ( this->giveNode(1)->giveCoordinate(2) + u.at(2) );
    dz = ( this->giveNode(2)->giveCoordinate(3) + u.at(9) ) -
         ( this->giveNode(1)->giveCoordinate(3) + u.at(3) );
 
    return sqrt(dx * dx + dy * dy + dz * dz);
}
 
 
void LIBeam3d2::updateYourself(TimeStep *tStep)
// Updates the receiver at end of step.
{
    NLStructuralElement::updateYourself(tStep);
 
    // update triad
    this->updateTempTriad(tStep);
    tc = tempTc;
 
    // update curvature
    //FloatArray curv;
    //this->computeTempCurv (curv, tStep);
    //kappa = curv;
}
 
 
void
LIBeam3d2::initForNewStep()
// initializes receiver to new time step or can be used
// if current time step must be restarted
{
    NLStructuralElement::initForNewStep();
    tempTc = tc;
}
 
 
 
void LIBeam3d2::saveContext(DataStream &stream, ContextMode mode)
{
    contextIOResultType iores;
    NLStructuralElement::saveContext(stream, mode);
 
    if ( ( iores = tc.storeYourself(stream) ) != CIO_OK ) {
        THROW_CIOERR(iores);
    }
}
 
 
void LIBeam3d2::restoreContext(DataStream &stream, ContextMode mode)
{
    contextIOResultType iores;
    NLStructuralElement::restoreContext(stream, mode);
 
    if ( ( iores = tc.restoreYourself(stream) ) != CIO_OK ) {
        THROW_CIOERR(iores);
    }
}
 
 
void
LIBeam3d2::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 *
LIBeam3d2::giveInterface(InterfaceType interface)
{
    if ( interface == FiberedCrossSectionInterfaceType ) {
        return static_cast< FiberedCrossSectionInterface * >( this );
    }
 
    return NULL;
}
 
 
#ifdef __OOFEG
void
LIBeam3d2::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
LIBeam3d2::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 */
    char const *colors[] = {
        "red", "green", "blue"
    };
 
    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);
 
    // draw centre triad
    int i, succ;
    double coeff = this->computeLength() / 3.;
    //this->updateTempTriad (tStep);
 
    p [ 0 ].x = 0.5 * ( ( FPNum ) this->giveNode(1)->giveUpdatedCoordinate(1, tStep, defScale) + ( FPNum ) this->giveNode(2)->giveUpdatedCoordinate(1, tStep, defScale) );
    p [ 0 ].y = 0.5 * ( ( FPNum ) this->giveNode(1)->giveUpdatedCoordinate(2, tStep, defScale) + ( FPNum ) this->giveNode(2)->giveUpdatedCoordinate(2, tStep, defScale) );
    p [ 0 ].z = 0.5 * ( ( FPNum ) this->giveNode(1)->giveUpdatedCoordinate(3, tStep, defScale) + ( FPNum ) this->giveNode(2)->giveUpdatedCoordinate(3, tStep, defScale) );
 
    // draw t1
    for ( i = 1; i <= 3; i++ ) {
        p [ 1 ].x = p [ 0 ].x + coeff * tc.at(1, i);
        p [ 1 ].y = p [ 0 ].y + coeff * tc.at(2, i);
        p [ 1 ].z = p [ 0 ].z + coeff * tc.at(3, i);
 
        EASValsSetColor(ColorGetPixelFromString(const_cast< char * >( colors [ i - 1 ] ), & succ) );
 
        go = CreateLine3D(p);
        EGWithMaskChangeAttributes(WIDTH_MASK | COLOR_MASK | LAYER_MASK, go);
        EMAddGraphicsToModel(ESIModel(), go);
    }
}
 
 
void
LIBeam3d2::drawScalar(oofegGraphicContext &gc, TimeStep *tStep)
{
    WCRec p[ 2 ];
    GraphicObj *go;
    FloatArray v;
    double defScale;
 
    if ( !gc.testElementGraphicActivity(this) ) {
        return;
    }
 
    EASValsSetLayer(OOFEG_VARPLOT_PATTERN_LAYER);
    if ( gc.getInternalVarsDefGeoFlag() ) {
        // use deformed geometry
        defScale = gc.getDefScale();
        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);
    } else {
        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);
    }
 
    GaussPoint *gp;
    double s;
    gp = integrationRulesArray [ 0 ]->getIntegrationPoint(0);
    if ( giveIPValue(v, gp, gc.giveIntVarType(), tStep) == 0 ) {
        return;
    }
 
    s = v.at(1);
    gc.updateFringeTableMinMax(& s, 1);
 
    go = CreateLine3D(p);
    EASValsSetColor(gc.getElementColor() );
    EASValsSetLayer(OOFEG_VARPLOT_PATTERN_LAYER);
    EASValsSetLineWidth(OOFEG_RAW_GEOMETRY_WIDTH);
    EGWithMaskChangeAttributes(WIDTH_MASK | COLOR_MASK | LAYER_MASK, go);
    EMAddGraphicsToModel(ESIModel(), go);
 
    EASValsSetMType(FILLED_CIRCLE_MARKER);
    go = CreateMarkerWD3D(p, v.at(1) );
    EGWithMaskChangeAttributes(LAYER_MASK | FILL_MASK | MTYPE_MASK, go);
    EMAddGraphicsToModel(ESIModel(), go);
}
 
#endif
} // end namespace oofem