trplanstrss.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 "Elements/PlaneStress/trplanstrss.h"
#include "fei2dtrlin.h"
#include "node.h"
#include "crosssection.h"
#include "gausspoint.h"
#include "gaussintegrationrule.h"
#include "floatmatrix.h"
#include "floatarray.h"
#include "intarray.h"
#include "mathfem.h"
#include "classfactory.h"

#ifdef __OOFEG
 #include "oofeggraphiccontext.h"
 #include "oofegutils.h"
 #include "Materials/rcm2.h"
#endif

namespace oofem {
REGISTER_Element(TrPlaneStress2d);

FEI2dTrLin TrPlaneStress2d :: interp(1, 2);

TrPlaneStress2d :: TrPlaneStress2d(int n, Domain *aDomain) :
    PlaneStressElement(n, aDomain), ZZNodalRecoveryModelInterface(this), NodalAveragingRecoveryModelInterface(),
    SPRNodalRecoveryModelInterface(), SpatialLocalizerInterface(this),
    ZZErrorEstimatorInterface(this),
    HuertaErrorEstimatorInterface()
{
    numberOfDofMans  = 3;
    area = -1;
    numberOfGaussPoints = 1;
}

FEInterpolation *TrPlaneStress2d :: giveInterpolation() const { return & interp; }

Interface *
TrPlaneStress2d :: giveInterface(InterfaceType interface)
{
    if ( interface == ZZNodalRecoveryModelInterfaceType ) {
        return static_cast< ZZNodalRecoveryModelInterface * >(this);
    } else if ( interface == NodalAveragingRecoveryModelInterfaceType ) {
        return static_cast< NodalAveragingRecoveryModelInterface * >(this);
    } else if ( interface == SPRNodalRecoveryModelInterfaceType ) {
        return static_cast< SPRNodalRecoveryModelInterface * >(this);
    } else if ( interface == SpatialLocalizerInterfaceType ) {
        return static_cast< SpatialLocalizerInterface * >(this);
    } else if ( interface == ZZErrorEstimatorInterfaceType ) {
        return static_cast< ZZErrorEstimatorInterface * >(this);
    } else if ( interface == HuertaErrorEstimatorInterfaceType ) {
        return static_cast< HuertaErrorEstimatorInterface * >(this);
    }

    return NULL;
}

double
TrPlaneStress2d :: giveArea()
// returns the area occupied by the receiver
{
    if ( area > 0 ) {
        return area;         // check if previously computed
    }

    return ( area = fabs( this->interp.giveArea( FEIElementGeometryWrapper(this) ) ) );
}


double
TrPlaneStress2d :: giveCharacteristicSize(GaussPoint *gp, FloatArray &normalToCrackPlane, ElementCharSizeMethod method)
//
// returns receiver's characteristic size at gp (for some material models)
// for crack formed in plane with normal normalToCrackPlane
// using the selected method
//
{
    if ( method == ECSM_SquareRootOfArea ) {
        // square root of element area
        return sqrt( this->giveArea() );
    }

    if ( ( method == ECSM_Projection ) || ( method == ECSM_ProjectionCentered ) ) {
        // projection method (standard or modified - no difference for constant-strain element)
        return this->giveCharacteristicLength(normalToCrackPlane);
    }

    if ( ( method == ECSM_Oliver1 ) || ( method == ECSM_Oliver1modified ) || ( method == ECSM_Oliver2 ) ) {
        // method based on derivative of auxiliary function phi
        // in the maximum principal strain direction
        // (standard or modified - no difference for constant-strain element)

        // nodal coordinates and coordinates of the element center
        FloatArray x(3), y(3);
        double cx = 0., cy = 0.;
        for ( int i = 1; i <= 3; i++ ) {
            x.at(i) = giveNode(i)->giveCoordinate(1);
            y.at(i) = giveNode(i)->giveCoordinate(2);
            cx += x.at(i);
            cy += y.at(i);
        }

        cx /= 3.;
        cy /= 3.;

        // nodal values of function phi (0 or 1)
        FloatArray phi(3);
        for ( int i = 1; i <= 3; i++ ) {
            if ( ( ( x.at(i) - cx ) * normalToCrackPlane.at(1) + ( y.at(i) - cy ) * normalToCrackPlane.at(2) ) > 0. ) {
                phi.at(i) = 1.;
            } else {
                phi.at(i) = 0.;
            }
        }

        // derivatives of shape functions wrt global coordinates
        FloatMatrix dnx(3, 2);
        dnx.at(1, 1) = y.at(2) - y.at(3);
        dnx.at(2, 1) = y.at(3) - y.at(1);
        dnx.at(3, 1) = y.at(1) - y.at(2);
        dnx.at(1, 2) = x.at(3) - x.at(2);
        dnx.at(2, 2) = x.at(1) - x.at(3);
        dnx.at(3, 2) = x.at(2) - x.at(1);
        dnx.times( 1. / ( 2. * giveArea() ) );

        // gradient of function phi
        FloatArray gradPhi(2);
        gradPhi.zero();
        for ( int i = 1; i <= 3; i++ ) {
            gradPhi.at(1) += phi.at(i) * dnx.at(i, 1);
            gradPhi.at(2) += phi.at(i) * dnx.at(i, 2);
        }

        // scalar product of the gradient with crack normal
        double dPhidN = 0.;
        for ( int i = 1; i <= 2; i++ ) {
            dPhidN += gradPhi.at(i) * normalToCrackPlane.at(i);
        }

        if ( dPhidN == 0. ) {
            OOFEM_ERROR("Zero value of dPhidN");
        }

        return 1. / fabs(dPhidN);
    }

    OOFEM_ERROR("invalid method");
    return 0.;
}


void
TrPlaneStress2d :: NodalAveragingRecoveryMI_computeNodalValue(FloatArray &answer, int node,
                                                              InternalStateType type, TimeStep *tStep)
{
    GaussPoint *gp = integrationRulesArray [ 0 ]->getIntegrationPoint(0);
    this->giveIPValue(answer, gp, type, tStep);
}



void
TrPlaneStress2d :: HuertaErrorEstimatorI_setupRefinedElementProblem(RefinedElement *refinedElement, int level, int nodeId,
                                                                    IntArray &localNodeIdArray, IntArray &globalNodeIdArray,
                                                                    HuertaErrorEstimatorInterface :: SetupMode sMode, TimeStep *tStep,
                                                                    int &localNodeId, int &localElemId, int &localBcId,
                                                                    IntArray &controlNode, IntArray &controlDof,
                                                                    HuertaErrorEstimator :: AnalysisMode aMode)
{
    int inode, nodes = 3, iside, sides = 3, nd1, nd2;
    FloatArray *corner [ 3 ], midSide [ 3 ], midNode, cor [ 3 ];
    double x = 0.0, y = 0.0;

    static int sideNode [ 3 ] [ 2 ] = { { 1, 2 }, { 2, 3 }, { 3, 1 } };

    if ( sMode == HuertaErrorEstimatorInterface :: NodeMode ||
        ( sMode == HuertaErrorEstimatorInterface :: BCMode && aMode == HuertaErrorEstimator :: HEE_linear ) ) {
        for ( inode = 0; inode < nodes; inode++ ) {
            corner [ inode ] = this->giveNode(inode + 1)->giveCoordinates();
            if ( corner [ inode ]->giveSize() != 3 ) {
                cor [ inode ].resize(3);
                cor [ inode ].at(1) = corner [ inode ]->at(1);
                cor [ inode ].at(2) = corner [ inode ]->at(2);
                cor [ inode ].at(3) = 0.0;

                corner [ inode ] = & ( cor [ inode ] );
            }

            x += corner [ inode ]->at(1);
            y += corner [ inode ]->at(2);
        }

        for ( iside = 0; iside < sides; iside++ ) {
            midSide [ iside ].resize(3);

            nd1 = sideNode [ iside ] [ 0 ] - 1;
            nd2 = sideNode [ iside ] [ 1 ] - 1;

            midSide [ iside ].at(1) = ( corner [ nd1 ]->at(1) + corner [ nd2 ]->at(1) ) / 2.0;
            midSide [ iside ].at(2) = ( corner [ nd1 ]->at(2) + corner [ nd2 ]->at(2) ) / 2.0;
            midSide [ iside ].at(3) = 0.0;
        }

        midNode.resize(3);

        midNode.at(1) = x / nodes;
        midNode.at(2) = y / nodes;
        midNode.at(3) = 0.0;
    }

    this->setupRefinedElementProblem2D(this, refinedElement, level, nodeId, localNodeIdArray, globalNodeIdArray,
                                       sMode, tStep, nodes, corner, midSide, midNode,
                                       localNodeId, localElemId, localBcId,
                                       controlNode, controlDof, aMode, "PlaneStress2d");
}


void TrPlaneStress2d :: HuertaErrorEstimatorI_computeNmatrixAt(GaussPoint *gp, FloatMatrix &answer)
{
    computeNmatrixAt(gp->giveSubPatchCoordinates(), answer);
}

#ifdef __OOFEG
 #define TR_LENGHT_REDUCT 0.3333

void TrPlaneStress2d :: drawRawGeometry(oofegGraphicContext &gc, TimeStep *tStep)
{
    WCRec p [ 3 ];
    GraphicObj *go;

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

    EASValsSetLineWidth(OOFEG_RAW_GEOMETRY_WIDTH);
    EASValsSetColor( gc.getElementColor() );
    EASValsSetEdgeColor( gc.getElementEdgeColor() );
    EASValsSetEdgeFlag(true);
    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 = 0.;
    p [ 1 ].x = ( FPNum ) this->giveNode(2)->giveCoordinate(1);
    p [ 1 ].y = ( FPNum ) this->giveNode(2)->giveCoordinate(2);
    p [ 1 ].z = 0.;
    p [ 2 ].x = ( FPNum ) this->giveNode(3)->giveCoordinate(1);
    p [ 2 ].y = ( FPNum ) this->giveNode(3)->giveCoordinate(2);
    p [ 2 ].z = 0.;

    go =  CreateTriangle3D(p);
    EGWithMaskChangeAttributes(WIDTH_MASK | COLOR_MASK | EDGE_COLOR_MASK | EDGE_FLAG_MASK | LAYER_MASK, go);
    EGAttachObject(go, ( EObjectP ) this);
    EMAddGraphicsToModel(ESIModel(), go);
}


void TrPlaneStress2d :: drawDeformedGeometry(oofegGraphicContext &gc, TimeStep *tStep, UnknownType type)
{
    WCRec p [ 3 ];
    GraphicObj *go;
    double defScale = gc.getDefScale();

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

    EASValsSetLineWidth(OOFEG_DEFORMED_GEOMETRY_WIDTH);
    EASValsSetColor( gc.getDeformedElementColor() );
    EASValsSetEdgeColor( gc.getElementEdgeColor() );
    EASValsSetEdgeFlag(true);
    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 = 0.;
    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 = 0.;
    p [ 2 ].x = ( FPNum ) this->giveNode(3)->giveUpdatedCoordinate(1, tStep, defScale);
    p [ 2 ].y = ( FPNum ) this->giveNode(3)->giveUpdatedCoordinate(2, tStep, defScale);
    p [ 2 ].z = 0.;

    go =  CreateTriangle3D(p);
    EGWithMaskChangeAttributes(WIDTH_MASK | COLOR_MASK | EDGE_COLOR_MASK | EDGE_FLAG_MASK | LAYER_MASK, go);
    EMAddGraphicsToModel(ESIModel(), go);
}

void TrPlaneStress2d :: drawScalar(oofegGraphicContext &gc, TimeStep *tStep)
{
    int i, indx, result = 0;
    WCRec p [ 3 ];
    GraphicObj *tr;
    FloatArray v1, v2, v3;
    double s [ 3 ], defScale;

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

    if ( gc.giveIntVarMode() == ISM_recovered ) {
        result += this->giveInternalStateAtNode(v1, gc.giveIntVarType(), gc.giveIntVarMode(), 1, tStep);
        result += this->giveInternalStateAtNode(v2, gc.giveIntVarType(), gc.giveIntVarMode(), 2, tStep);
        result += this->giveInternalStateAtNode(v3, gc.giveIntVarType(), gc.giveIntVarMode(), 3, tStep);
    } else if ( gc.giveIntVarMode() == ISM_local ) {
        GaussPoint *gp = integrationRulesArray [ 0 ]->getIntegrationPoint(0);
        result += giveIPValue(v1, gp, gc.giveIntVarType(), tStep);
        v2 = v1;
        v3 = v1;
        result *= 3;
    }

    if ( result != 3 ) {
        return;
    }

    indx = gc.giveIntVarIndx();

    s [ 0 ] = v1.at(indx);
    s [ 1 ] = v2.at(indx);
    s [ 2 ] = v3.at(indx);

    EASValsSetLayer(OOFEG_VARPLOT_PATTERN_LAYER);

    if ( gc.getScalarAlgo() == SA_ISO_SURF ) {
        for ( i = 0; i < 3; i++ ) {
            if ( gc.getInternalVarsDefGeoFlag() ) {
                // use deformed geometry
                defScale = gc.getDefScale();
                p [ i ].x = ( FPNum ) this->giveNode(i + 1)->giveUpdatedCoordinate(1, tStep, defScale);
                p [ i ].y = ( FPNum ) this->giveNode(i + 1)->giveUpdatedCoordinate(2, tStep, defScale);
                p [ i ].z = 0.;
            } else {
                p [ i ].x = ( FPNum ) this->giveNode(i + 1)->giveCoordinate(1);
                p [ i ].y = ( FPNum ) this->giveNode(i + 1)->giveCoordinate(2);
                p [ i ].z = 0.;
            }
        }

        //EASValsSetColor(gc.getYieldPlotColor(ratio));
        gc.updateFringeTableMinMax(s, 3);
        tr =  CreateTriangleWD3D(p, s [ 0 ], s [ 1 ], s [ 2 ]);
        EGWithMaskChangeAttributes(LAYER_MASK, tr);
        EMAddGraphicsToModel(ESIModel(), tr);
    } else if ( ( gc.getScalarAlgo() == SA_ZPROFILE ) || ( gc.getScalarAlgo() == SA_COLORZPROFILE ) ) {
        double landScale = gc.getLandScale();

        for ( i = 0; i < 3; i++ ) {
            if ( gc.getInternalVarsDefGeoFlag() ) {
                // use deformed geometry
                defScale = gc.getDefScale();
                p [ i ].x = ( FPNum ) this->giveNode(i + 1)->giveUpdatedCoordinate(1, tStep, defScale);
                p [ i ].y = ( FPNum ) this->giveNode(i + 1)->giveUpdatedCoordinate(2, tStep, defScale);
                p [ i ].z = s [ i ] * landScale;
            } else {
                p [ i ].x = ( FPNum ) this->giveNode(i + 1)->giveCoordinate(1);
                p [ i ].y = ( FPNum ) this->giveNode(i + 1)->giveCoordinate(2);
                p [ i ].z = s [ i ] * landScale;
            }
        }

        if ( gc.getScalarAlgo() == SA_ZPROFILE ) {
            EASValsSetColor( gc.getDeformedElementColor() );
            EASValsSetLineWidth(OOFEG_DEFORMED_GEOMETRY_WIDTH);
            EASValsSetFillStyle(FILL_SOLID);
            tr =  CreateTriangle3D(p);
            EGWithMaskChangeAttributes(WIDTH_MASK | COLOR_MASK | FILL_MASK | LAYER_MASK, tr);
        } else {
            gc.updateFringeTableMinMax(s, 3);
            EASValsSetFillStyle(FILL_SOLID);
            tr =  CreateTriangleWD3D(p, s [ 0 ], s [ 1 ], s [ 2 ]);
            EGWithMaskChangeAttributes(FILL_MASK | LAYER_MASK, tr);
        }

        EMAddGraphicsToModel(ESIModel(), tr);
    }
}

void
TrPlaneStress2d :: drawSpecial(oofegGraphicContext &gc, TimeStep *tStep)
{
    WCRec l [ 2 ];
    GraphicObj *tr;
    double defScale = gc.getDefScale();
    FloatArray crackStatuses, cf;

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

    if ( gc.giveIntVarType() == IST_CrackState ) {
        // ask if any active crack exist
        int crackStatus;
        double ax, ay, bx, by, norm, xc, yc, length;
        FloatArray crackDir;

        for ( GaussPoint *gp: *integrationRulesArray [ 0 ] ) {
            if ( this->giveIPValue(cf, gp, IST_CrackedFlag, tStep) == 0 ) {
                return;
            }

            if ( ( int ) cf.at(1) == 0 ) {
                return;
            }

            if ( this->giveIPValue(crackDir, gp, IST_CrackDirs, tStep) ) {
                this->giveIPValue(crackStatuses, gp, IST_CrackStatuses, tStep);
                for ( int i = 1; i <= 3; i++ ) {
                    crackStatus = ( int ) crackStatuses.at(i);
                    if ( ( crackStatus != pscm_NONE ) && ( crackStatus != pscm_CLOSED ) ) {
                        // draw a crack
                        // this element is 2d element in x-y plane
                        //
                        // compute perpendicular line to normal in xy plane
                        ax = crackDir.at(i);
                        ay = crackDir.at(3 + i);
                        if ( fabs(ax) > 1.e-6 ) {
                            by = 1.;
                            bx = -ay * by / ax;
                            norm = sqrt(bx * bx + by * by);
                            bx = bx / norm; // normalize to obtain unit vector
                            by = by / norm;
                        } else {
                            by = 0.0;
                            bx = 1.0;
                        }

                        // obtain gp global coordinates - here only one exists
                        // it is in centre of gravity.
                        xc = yc = 0.;
                        for ( int j = 1; j <= 3; j++ ) {
                            if ( gc.getInternalVarsDefGeoFlag() ) {
                                // use deformed geometry
                                xc += ( FPNum ) this->giveNode(j)->giveUpdatedCoordinate(1, tStep, defScale);
                                yc += ( FPNum ) this->giveNode(j)->giveUpdatedCoordinate(2, tStep, defScale);
                            } else {
                                xc += ( FPNum ) this->giveNode(j)->giveCoordinate(1);
                                yc += ( FPNum ) this->giveNode(j)->giveCoordinate(2);
                            }
                        }

                        xc = xc / 3.;
                        yc = yc / 3.;
                        length = TR_LENGHT_REDUCT * sqrt( 2 * this->giveArea() ) / 2.0;
                        l [ 0 ].x = ( FPNum ) xc + bx * length;
                        l [ 0 ].y = ( FPNum ) yc + by * length;
                        l [ 0 ].z = 0.;
                        l [ 1 ].x = ( FPNum ) xc - bx * length;
                        l [ 1 ].y = ( FPNum ) yc - by * length;
                        l [ 1 ].z = 0.;
                        EASValsSetLayer(OOFEG_CRACK_PATTERN_LAYER);
                        EASValsSetLineWidth(OOFEG_CRACK_PATTERN_WIDTH);
                        if ( ( crackStatus == pscm_SOFTENING ) || ( crackStatus == pscm_OPEN ) ) {
                            EASValsSetColor( gc.getActiveCrackColor() );
                        } else {
                            EASValsSetColor( gc.getCrackPatternColor() );
                        }

                        tr = CreateLine3D(l);
                        EGWithMaskChangeAttributes(WIDTH_MASK | COLOR_MASK | LAYER_MASK, tr);
                        EMAddGraphicsToModel(ESIModel(), tr);
                    }
                }
            }
        }
    }
}

#endif

void
TrPlaneStress2d :: SPRNodalRecoveryMI_giveSPRAssemblyPoints(IntArray &pap)
{
    pap.resize(3);
    pap.at(1) = this->giveNode(1)->giveNumber();
    pap.at(2) = this->giveNode(2)->giveNumber();
    pap.at(3) = this->giveNode(3)->giveNumber();
}

void
TrPlaneStress2d :: SPRNodalRecoveryMI_giveDofMansDeterminedByPatch(IntArray &answer, int pap)
{
    answer.resize(1);
    if ( ( pap == this->giveNode(1)->giveNumber() ) ||
        ( pap == this->giveNode(2)->giveNumber() ) ||
        ( pap == this->giveNode(3)->giveNumber() ) ) {
        answer.at(1) = pap;
    } else {
        OOFEM_ERROR("node unknown");
    }
}

int
TrPlaneStress2d :: SPRNodalRecoveryMI_giveNumberOfIP()
{
    return 1;
}


SPRPatchType
TrPlaneStress2d :: SPRNodalRecoveryMI_givePatchType()
{
    return SPRPatchType_2dxy;
}

} // end namespace oofem