intmatbilinczfagerstrom.C

Go to the documentation of this file.

/*
 *
 *                 #####    #####   ######  ######  ###   ###
 *               ##   ##  ##   ##  ##      ##      ## ### ##
 *              ##   ##  ##   ##  ####    ####    ##  #  ##
 *             ##   ##  ##   ##  ##      ##      ##     ##
 *            ##   ##  ##   ##  ##      ##      ##     ##
 *            #####    #####   ##      ######  ##     ##
 *
 *
 *             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 "gausspoint.h"
#include "floatmatrix.h"
#include "floatarray.h"
#include "mathfem.h"
#include "datastream.h"
#include "contextioerr.h"
#include "classfactory.h"
#include "intmatbilinczfagerstrom.h"
#include "dynamicinputrecord.h"


namespace oofem {

REGISTER_Material( IntMatBilinearCZFagerstrom );


IntMatBilinearCZFagerstrom :: IntMatBilinearCZFagerstrom(int n, Domain *d) : StructuralInterfaceMaterial(n, d) { }

IntMatBilinearCZFagerstrom :: ~IntMatBilinearCZFagerstrom() { }


void 
IntMatBilinearCZFagerstrom :: giveFirstPKTraction_3d(FloatArray &answer, GaussPoint *gp, const FloatArray &d,
                                                     const FloatMatrix &F, TimeStep *tStep)
{
    // returns vector in 3d stress space of receiver according to
    // previous level of stress and current
    // strain increment, the only way, how to correctly update gp records
    
    IntMatBilinearCZFagerstromStatus *status = static_cast< IntMatBilinearCZFagerstromStatus * >( this->giveStatus(gp) );
    
    FloatMatrix Finv;
    Finv.beInverseOf(F);
    status->letTempInverseDefGradBe(Finv);

    FloatArray dJ;
    dJ.beProductOf(Finv,d);
    status->letTempMaterialJumpBe(dJ);


    double oldDamage = status->giveDamage();
    double dAlpha = 0.0;
    FloatArray Qold(3), Qtemp(3), Qtemp_comp(3);
    Qtemp.zero();
    Qtemp_comp.zero();

    if ( dJ.at(3) < 0 ) {
        Qtemp_comp.at(3) = this->knc*dJ.at(3);
    } 


    // SUBROUTINE stress_damage_XFEM_direct_Mandel(dJ,N,Qold,old_alpha,Fci,Q,Ea,new_alpha,adtim,dalpha_new,dalpha_old,diss,sig_f,fall);
    if (oldDamage < 0.99) {
        
        FloatArray Qtrial = status->giveEffectiveMandelTraction(); 

        FloatMatrix Kstiff(3,3);
        FloatArray help;

        Kstiff.zero();
        Kstiff.at(1,1) = this->ks0;
        Kstiff.at(2,2) = this->ks0;
        Kstiff.at(3,3) = this->kn0;

        dJ.subtract(status->giveOldMaterialJump()); 
        help.beProductOf(Kstiff,dJ);
        Qtrial.add(help); 

        double Qn = Qtrial.at(3);
        FloatArray QN(3);
        QN.zero();
        QN.at(3) = Qn;

        FloatArray QtrialShear;
                        
        QtrialShear = Qtrial;
        QtrialShear.subtract(QN);

        double Qt = QtrialShear.computeNorm();
        double sigf = this->sigf;
        double gamma = this->gamma;
        double mu = this->mu;

        double S = (this->GIc - pow(sigf,2)/(2*this->kn0))/sigf;
        double gammaGf = gamma*(this->GIIc - pow(gamma*sigf,2)/(2*this->ks0))/(this->GIc - pow(sigf,2)/(2*this->kn0));

        double Qn_M = 0.5*(Qn + fabs(Qn));
        double loadFun = sigf*pow(Qt/(gamma*sigf),2) + (sigf/gamma)*(gamma-mu)*pow((Qn_M/sigf),2) - 1/gamma*(gamma*sigf-mu*Qn); // Added support for parameter mu

        Qold = status->giveEffectiveMandelTraction();  
        Qtemp = Qtrial;

        if ( loadFun/sigf < 1e-7 ) {
            dAlpha = 0.0;  // new_alpha=old_alpha
            status->letTempEffectiveMandelTractionBe(Qtemp);
            Qtemp.times(1-oldDamage);
        } else {
            // dalpha = datr
            double Qt1,Qt2;
            Qt1 = Qtemp.at(1);
            Qt2 = Qtemp.at(2);

            FloatArray M(3);                        // M = (/2*Q_t/(sig_f*gamma**2), 2*Q_n/sig_f, 0.d0/)
            M.at(1) = 2*Qt1/(pow(gamma,2)*sigf);    // Qt = sqrt(Qt1^2 + Qt2^2)
            M.at(2) = 2*Qt2/(pow(gamma,2)*sigf);
            M.at(3) = 2*Qn_M/sigf;

            FloatArray dJElastic;
            dJElastic = dJ;                         // dJtn_e(1:2) = dJtn_v(1:2) - S*dalpha*M(1:2)
            dJElastic.add(-S*dAlpha, M);

            FloatMatrix Smat(4,4), Smati(4,4);
            FloatArray R(4), inc(4);

            const double errorTol = 0.0001;
            for( int iter = 1; fabs(loadFun)/sigf > errorTol; iter++) {
                //printf("loadfun = %e \n",loadFun);
                if (iter>40) {
                    OOFEM_ERROR("BilinearCZMaterialFagerstrom :: giveRealStressVector - no convergence in constitutive driver");
                }
                status->letTempDamageDevBe(true);
                Smat.zero();    // S_mat=0.d0

                R.at(1) = dJElastic.at(1) - (dJ.at(1) - gammaGf*S*dAlpha*M.at(1));              // R(1:2) = dJtn_e(1:2) - (dJtn_v(1:2) - S*dalpha*M(1:2))
                R.at(2) = dJElastic.at(2) - (dJ.at(2) - gammaGf*S*dAlpha*M.at(2));
                R.at(3) = dJElastic.at(3) - (dJ.at(3) - S*dAlpha*M.at(3));
                R.at(4) = loadFun;  // R(3) = F/sig_f

                Smat.at(1,1) = 1.0 + gammaGf*dAlpha*S*2*Kstiff.at(1,1)/(pow(gamma,2)*sigf);     // S_mat(1:2,1:2) = eye3(1:2,1:2)+ dalpha*S*dMdJtn_e(1:2,1:2)
                Smat.at(2,2) = 1.0 + gammaGf*dAlpha*S*2*Kstiff.at(2,2)/(pow(gamma,2)*sigf);
                //dJElastic.printYourself();
                if (Qn_M>0) {
                    Smat.at(3,3) = 1.0 + dAlpha*S*2*Kstiff.at(3,3)/(sigf);
                } else {
                    Smat.at(3,3) = 1.0;
                }

                Smat.at(1,4) = gammaGf*S*M.at(1);       // S_mat(1:2,3) = S*M(1:2)
                Smat.at(2,4) = gammaGf*S*M.at(2);
                Smat.at(3,4) = S*M.at(3);
                    
                Smat.at(4,1) = M.at(1)*Kstiff.at(1,1);      // S_mat(3,1:2) = MATMUL(M(1:2),Keye3(1:2,1:2))
                Smat.at(4,2) = M.at(2)*Kstiff.at(2,2);
                //Smat.at(4,3) = M.at(3)*Kstiff.at(3,3);
                Smat.at(4,3) = (2*(gamma-mu)/(gamma*sigf)*Qn_M + mu/gamma)*Kstiff.at(3,3);      //Martin: included parameter mu

                //FloatArray inc;
                //bool transpose = false;
                //Smat.SolveforRhs(R, inc, transpose);

                Smati.beInverseOf(Smat);

                inc.beProductOf(Smati,R);

                dJElastic.at(1) -= inc.at(1);
                dJElastic.at(2) -= inc.at(2);
                dJElastic.at(3) -= inc.at(3);
                dAlpha = dAlpha - inc.at(4);

                Qtemp.at(1) = Qold.at(1) + Kstiff.at(1,1)*dJElastic.at(1);
                Qtemp.at(2) = Qold.at(2) + Kstiff.at(2,2)*dJElastic.at(2);
                Qtemp.at(3) = Qold.at(3) + Kstiff.at(3,3)*dJElastic.at(3);

                Qt1 = Qtemp.at(1);
                Qt2 = Qtemp.at(2);
                Qt = sqrt(pow(Qt1,2) + pow(Qt2,2));
                Qn = Qtemp.at(3);                       // Martin: included parameter mu
                Qn_M = 0.5*(Qtemp.at(3)+fabs(Qtemp.at(3)));

                M.at(1) = 2*Qt1/(pow(gamma,2)*sigf);    // Qt = sqrt(Qt1^2 + Qt2^2)
                M.at(2) = 2*Qt2/(pow(gamma,2)*sigf);
                M.at(3) = 2*Qn_M/sigf;

                //loadFun = sigf*pow(Qt/(gamma*sigf),2) + sigf*pow((Qn_M/sigf),2) - sigf;
                loadFun = sigf*pow(Qt/(gamma*sigf),2) + (sigf/gamma)*(gamma-mu)*pow((Qn_M/sigf),2) - 1/gamma*(gamma*sigf-mu*Qn); //Martin: included parameter mu
            }
            //printf("converged, loadfun = %e, oldDamage = %e \n",loadFun, oldDamage);
            
            if (oldDamage + dAlpha > 1) {
              dAlpha = 1. - oldDamage;
            }

            FloatMatrix Iep(3,3);
            IntArray Indx(3);
            Indx.at(1) = 1;
            Indx.at(2) = 2;
            Indx.at(3) = 3;

            Iep.beSubMatrixOf(Smati,Indx,Indx);
            status->letTempIepBe(Iep);
                                                                    
            FloatArray alpha_v(3);
            alpha_v.at(1) = Smati.at(4,1);          // alpha_v(1:2) = S_mati(3,1:2)
            alpha_v.at(2) = Smati.at(4,2);
            alpha_v.at(3) = Smati.at(4,3);
              
            status->letTempAlphavBe(alpha_v);
            status->letTempEffectiveMandelTractionBe(Qtemp);
            Qtemp.times(1-oldDamage-dAlpha);

        }

        //Qtemp.rotatedWith(Rot,'t');               // Q=Qe
        //status->letTempRotationMatrix(Rot);
    } else {
        dAlpha = 1.0 - oldDamage;
        dJ = status->giveTempJump();
        status->letTempEffectiveMandelTractionBe(Qtemp);    // SHOULD NEVER BE USED!!
        //if (dJ.at(3)<0) {
        //  Qtemp.at(3) = kn0*dJ.at(3);
        //}
    }

    Qtemp.add(Qtemp_comp);


    answer.beTProductOf(Finv, Qtemp);                // t_1_hat = MATMUL(TRANSPOSE(Fci),Q)
    //answer.times(1-oldDamage-dAlpha);             // t1_s = (1-al)*t_1_hat

        
    status->letTempDamageBe(oldDamage + dAlpha);
    //status->letTempEffectiveMandelTractionBe(Qtemp);  // NEW!

    status->letTempJumpBe(d);
    status->letTempFirstPKTractionBe(answer);
    status->letTempFBe(F);
}


void

IntMatBilinearCZFagerstrom :: give3dStiffnessMatrix_dTdj(FloatMatrix &answer, MatResponseMode rMode, GaussPoint *gp, TimeStep *tStep)
{
    IntMatBilinearCZFagerstromStatus *status = static_cast< IntMatBilinearCZFagerstromStatus * >( this->giveStatus(gp) );

    if (status->giveOldDamageDev()) {
        answer = status->giveOlddTdJ();
        //answer.printYourself();
        status->letOldDamageDevBe(false);
    } else {

        double damage = status->giveTempDamage();
        const FloatMatrix &Finv = status->giveTempInverseDefGrad();
        const FloatArray &J = status->giveTempJump();
        FloatMatrix help;
        FloatMatrix Kstiff(3,3);

        //FloatMatrix Rot = status->giveTempRotationMatrix();
        Kstiff.zero();
        Kstiff.at(1,1) = this->ks0;
        Kstiff.at(2,2) = this->ks0;
        Kstiff.at(3,3) = this->kn0;
        //Kstiff.rotatedWith(Rot);

        if ( damage >= 1.0 ) {
            answer.resize(3,3);
            answer.zero();
            if ( J.at(3) < 0 ) {
                Kstiff.at(1,1) = 0.0;
                Kstiff.at(2,2) = 0.0;
                Kstiff.at(3,3) = this->knc;
                help.beProductOf(Kstiff, Finv);
                answer.beTProductOf(Finv, help);
                //printf("fully damaged");
                //answer.printYourself();
            }
        } else {
        
            if ( status->giveTempDamage() - status->giveDamage()==0.0 ) {

                if ( J.at(3) < 0 ) {
                    Kstiff.at(3,3) = Kstiff.at(3,3) + (this->knc)/(1-damage);
                }

                help.beProductOf(Kstiff, Finv);
                answer.beTProductOf(Finv, help);
                answer.times(1-damage); // Ea=(1-new_alpha)*MATMUL(TRANSPOSE(Fci),MATMUL(Keye3,Fci))

                //printf("elastic step");
            } else {

                FloatMatrix Iep = status->giveTempIep();
                //Iep.ourselfourself();

                //if (J.at(3)<0) {
                //Kstiff.at(1,1) = (1-damage)*Kstiff.at(1,1);
                //Kstiff.at(2,2) = (1-damage)*Kstiff.at(2,2);
                //Kstiff.at(3,3) = Kstiff.at(3,3);
                //} else {
                //Kstiff.times((1-damage));
                //}

                Kstiff.times((1-damage));
                answer.beProductOf(Kstiff, Iep);
                //answer.rotatedWith(Rot);
                // Ea_h = MATMUL(TRANSPOSE(Rot),MATMUL(Keye3,Iep))
                // Ea_h = MATMUL(Ea_h,Rot)

                FloatArray alpha_v = status->giveTempAlphav();
                //alpha_v.rotatedWith(Rot, 't');    // alpha_v = MATMUL(TRANSPOSE(Rot),alpha_v)

                FloatMatrix t1hatFinvOpen;
                FloatArray temp1, temp2, Qtemp;
                Qtemp = status->giveTempEffectiveMandelTraction();

                temp1.beTProductOf(Finv,Qtemp);     // CALL gmopen33(MATMUL(TRANSPOSE(Fci),Q),MATMUL(alpha_v,Fci),t1halFci_o)
                temp2.beTProductOf(Finv,alpha_v);

                t1hatFinvOpen.beDyadicProductOf(temp1,temp2);

                if ( J.at(3) < 0 ) {
                    answer.at(3,3) = answer.at(3,3) + this->knc;
                }

                //printf("plastic step");
                help.beProductOf(answer, Finv); // Ea = (1-new_alpha)*MATMUL(TRANSPOSE(Fci),MATMUL(Ea_h,Fci)) -&
                answer.beTProductOf(Finv, help); // t1halFci_o
                answer.subtract(t1hatFinvOpen);
            }
        }
    }
    status->letTempdTdJBe(answer);

}

int
IntMatBilinearCZFagerstrom :: giveIPValue(FloatArray &answer, GaussPoint *gp, InternalStateType type, TimeStep *tStep)
{
    IntMatBilinearCZFagerstromStatus *status = static_cast< IntMatBilinearCZFagerstromStatus * >( this->giveStatus(gp) );
    if ( type == IST_DamageScalar ) {     
        answer.resize(1);
        answer.at(1) = status->giveDamage();
        return 1;
    } else {
        return StructuralInterfaceMaterial :: giveIPValue(answer, gp, type, tStep);
    }

}

//const double tolerance = 1.0e-12; // small number
IRResultType
IntMatBilinearCZFagerstrom :: initializeFrom(InputRecord *ir)
{
    IRResultType result;                    // Required by IR_GIVE_FIELD macro

    IR_GIVE_FIELD(ir, kn0, _IFT_IntMatBilinearCZFagerstrom_kn);
    this->knc = kn0;                        // Defaults to the same stiffness in compression and tension
    IR_GIVE_OPTIONAL_FIELD(ir, this->knc, _IFT_IntMatBilinearCZFagerstrom_knc);

    this->ks0 = kn0;                        // Defaults to kn0
    IR_GIVE_OPTIONAL_FIELD(ir, ks0, _IFT_IntMatBilinearCZFagerstrom_ks);

    IR_GIVE_FIELD(ir, GIc, _IFT_IntMatBilinearCZFagerstrom_g1c);

    this->GIIc = GIc;                       //Defaults to GIc
    IR_GIVE_OPTIONAL_FIELD(ir, GIIc, _IFT_IntMatBilinearCZFagerstrom_g2c);

    IR_GIVE_FIELD(ir, sigf, _IFT_IntMatBilinearCZFagerstrom_sigf);

    IR_GIVE_FIELD(ir, mu, _IFT_IntMatBilinearCZFagerstrom_mu);

    IR_GIVE_FIELD(ir, gamma, _IFT_IntMatBilinearCZFagerstrom_gamma);

    result = StructuralInterfaceMaterial ::initializeFrom(ir);
    if ( result != IRRT_OK ) return result;

    // check validity of the material paramters
    if ( this->kn0 < 0.0 ) {
        OOFEM_WARNING("Stiffness kn0 is negative (%.2e)", this->kn0);
        return IRRT_BAD_FORMAT;
    } else if ( this->ks0 < 0.0 ) {
        OOFEM_WARNING("Stiffness ks0 is negative (%.2e)", this->ks0);
        return IRRT_BAD_FORMAT;
    } else if ( this->GIc < 0.0 ) {
        OOFEM_WARNING("GIc is negative (%.2e)", this->GIc);
        return IRRT_BAD_FORMAT;
    } else if ( this->GIIc < 0.0 ) {
        OOFEM_WARNING("GIIc is negative (%.2e)", this->GIIc);
        return IRRT_BAD_FORMAT;
    } else if ( this->gamma < 0.0  ) { 
        OOFEM_WARNING("gamma (%.2e) is below zero which is unphysical",
            this->gamma);
        return IRRT_BAD_FORMAT;
    }
    return IRRT_OK;
}

void IntMatBilinearCZFagerstrom :: giveInputRecord(DynamicInputRecord &input)
{
    StructuralInterfaceMaterial::giveInputRecord(input);

    input.setField(kn0, _IFT_IntMatBilinearCZFagerstrom_kn);
    input.setField(knc, _IFT_IntMatBilinearCZFagerstrom_knc);
    input.setField(ks0, _IFT_IntMatBilinearCZFagerstrom_ks);

    input.setField(GIc, _IFT_IntMatBilinearCZFagerstrom_g1c);
    input.setField(GIIc, _IFT_IntMatBilinearCZFagerstrom_g2c);

    input.setField(sigf, _IFT_IntMatBilinearCZFagerstrom_sigf);
    input.setField(mu, _IFT_IntMatBilinearCZFagerstrom_mu);
    input.setField(gamma, _IFT_IntMatBilinearCZFagerstrom_gamma);

}

int
IntMatBilinearCZFagerstrom :: checkConsistency()
{
    return 1;
}

void
IntMatBilinearCZFagerstrom  :: printYourself()
{
    printf("Parameters for BilinearCZMaterial: \n");

    printf("-Strength paramters \n");
    printf("  sigf  = %e \n", this->sigf);
    printf("  GIc   = %e \n", this->GIc);
    printf("  GIIc  = %e \n", this->GIIc);
    printf("  gamma = sigfs/sigfn = %e \n", this->gamma);
    printf("  mu    = %e \n", this->mu);

    printf("-Stiffness parameters \n");
    printf("  kn0  = %e \n", this->kn0);
    printf("  ks0  = %e \n", this->ks0);
    printf("  knc  = %e \n", this->knc);

}


IntMatBilinearCZFagerstromStatus :: IntMatBilinearCZFagerstromStatus(int n, Domain *d, GaussPoint *g) : StructuralInterfaceMaterialStatus(n, d, g)
{
    oldMaterialJump.resize(3);
    oldMaterialJump.zero();
    tempMaterialJump = oldMaterialJump;

    damage = tempDamage = 0.0;

    QEffective = oldMaterialJump;
    tempQEffective = oldMaterialJump;

    tempFInv.resize(3,3);
    tempFInv.beUnitMatrix();

    old_dTdJ.resize(3,3);

    oldDamageDev = false;

    Iep = tempFInv;
    alphav = oldMaterialJump;
}


IntMatBilinearCZFagerstromStatus :: ~IntMatBilinearCZFagerstromStatus()
{ }


void
IntMatBilinearCZFagerstromStatus :: printOutputAt(FILE *file, TimeStep *tStep)
{
    StructuralInterfaceMaterialStatus :: printOutputAt(file, tStep);
    /*
    fprintf(file, "status { ");
    if ( this->damage > 0.0 ) {
    fprintf(file, "kappa %f, damage %f ", this->kappa, this->damage);
    }

    fprintf(file, "}\n");
    */
}


void
IntMatBilinearCZFagerstromStatus :: initTempStatus()
{
    StructuralInterfaceMaterialStatus :: initTempStatus();

    tempMaterialJump = oldMaterialJump;
    tempDamage = damage;
    tempQEffective = QEffective;

    tempFInv.resize(3,3);
    tempFInv.beUnitMatrix();

    Iep = tempFInv;
    alphav = oldMaterialJump;

    tempDamageDev = false;
}

void
IntMatBilinearCZFagerstromStatus :: updateYourself(TimeStep *tStep)
{
    StructuralInterfaceMaterialStatus :: updateYourself(tStep);
    damage = tempDamage;
    oldMaterialJump = tempMaterialJump;
    QEffective = tempQEffective;
    old_dTdJ = temp_dTdJ;
    oldDamageDev = tempDamageDev;
}


} // end namespace oofem