enrichmentfunction.C

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/*
 *
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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 "enrichmentfunction.h"
#include "gausspoint.h"
#include "mathfem.h"
#include "feinterpol.h"
#include "classfactory.h"
#include "dynamicinputrecord.h"
 
namespace oofem {
REGISTER_EnrichmentFunction(DiscontinuousFunction)
REGISTER_EnrichmentFunction(HeavisideFunction)
REGISTER_EnrichmentFunction(RampFunction)
 
void EnrichmentFunction :: initializeFrom(InputRecord &ir)
{
}
 
void EnrichmentFunction :: giveInputRecord(DynamicInputRecord &input)
{
    FEMComponent :: giveInputRecord(input);
}
 
void DiscontinuousFunction :: evaluateEnrFuncAt(double &oEnrFunc, const FloatArray &iPos, const double &iLevelSet) const
{
    oEnrFunc = sgn(iLevelSet);
}
 
void HeavisideFunction :: evaluateEnrFuncDerivAt(FloatArray &oEnrFuncDeriv, const FloatArray &iPos, const double &iLevelSet, const FloatArray &iGradLevelSet) const
{
    oEnrFuncDeriv.resize(2);
    oEnrFuncDeriv.zero();
}
 
void HeavisideFunction :: evaluateEnrFuncAt(double &oEnrFunc, const FloatArray &iPos, const double &iLevelSet) const
{
    if ( iLevelSet > 0.0 ) {
        oEnrFunc = 1.0;
    } else {
        oEnrFunc = 0.0;
    }
}
 
void DiscontinuousFunction :: evaluateEnrFuncDerivAt(FloatArray &oEnrFuncDeriv, const FloatArray &iPos, const double &iLevelSet, const FloatArray &iGradLevelSet) const
{
    oEnrFuncDeriv.resize(2);
    oEnrFuncDeriv.zero();
}
 
void RampFunction :: evaluateEnrFuncAt(double &oEnrFunc, const FloatArray &iPos, const double &iLevelSet) const
{
    oEnrFunc = fabs(iLevelSet);
}
 
void RampFunction :: evaluateEnrFuncDerivAt(FloatArray &oEnrFuncDeriv, const FloatArray &iPos, const double &iLevelSet, const FloatArray &iGradLevelSet) const
{
    oEnrFuncDeriv.resize(2);
    oEnrFuncDeriv.zero();
    oEnrFuncDeriv.at(1) = iGradLevelSet.at(1) * sgn(iLevelSet);
    oEnrFuncDeriv.at(2) = iGradLevelSet.at(2) * sgn(iLevelSet);
}
 
void LinElBranchFunction :: evaluateEnrFuncAt(std :: vector< double > &oEnrFunc, const double &iR, const double &iTheta) const
{
    oEnrFunc.push_back( sqrt(iR) * sin(0.5 * iTheta) );
    oEnrFunc.push_back( sqrt(iR) * sin(0.5 * iTheta) * sin(iTheta) );
    oEnrFunc.push_back( sqrt(iR) * cos(0.5 * iTheta) );
    oEnrFunc.push_back( sqrt(iR) * cos(0.5 * iTheta) * sin(iTheta) );
}
 
void LinElBranchFunction :: evaluateEnrFuncDerivAt(std :: vector< FloatArray > &oEnrFuncDeriv, const double &iR, const double &iTheta) const
{
    // Evaluate the enrichment function derivatives using the chain rule:
    // dPdx = dPdr*drdx + dPdt*dtdx
    // dPdy = dPdr*drdy + dPdt*dtdy
 
    const double drdx =  cos(iTheta);
    const double drdy =  sin(iTheta);
    const double dtdx = -( 1.0 / iR ) * sin(iTheta);
    const double dtdy =  ( 1.0 / iR ) * cos(iTheta);
 
    FloatArray dP;
 
    /*
     *      double dtdy = 0.0;
     *      double eps = 1.0e-12;
     *      if( fabs(cos(iTheta)) < eps )
     *      {
     *              dtdy = 0.0;
     *      }
     *      else
     *      {
     *              dtdy = 1.0/(iR*iR);
     *      }
     */
    // Psi 1
    const double dP1dr = ( 1.0 / ( 2.0 * sqrt(iR) ) ) * sin(0.5 * iTheta);
    const double dP1dt = 0.5 * sqrt(iR) * cos(0.5 * iTheta);
    oEnrFuncDeriv.push_back(Vec2( dP1dr *drdx + dP1dt *dtdx, dP1dr *drdy + dP1dt *dtdy ));
 
    // Psi 2
    const double dP2dr = ( 1.0 / ( 2.0 * sqrt(iR) ) ) * sin(0.5 * iTheta) * sin(iTheta);
    const double dP2dt = 0.5 * sqrt(iR) * cos(0.5 * iTheta) * sin(iTheta) + sqrt(iR) * sin(0.5 * iTheta) * cos(iTheta);
    oEnrFuncDeriv.push_back(Vec2( dP2dr *drdx + dP2dt *dtdx, dP2dr *drdy + dP2dt *dtdy ));
 
    // Psi 3
    const double dP3dr = ( 1.0 / ( 2.0 * sqrt(iR) ) ) * cos(0.5 * iTheta);
    const double dP3dt = -0.5 * sqrt(iR) * sin(0.5 * iTheta);
    oEnrFuncDeriv.push_back(Vec2( dP3dr *drdx + dP3dt *dtdx, dP3dr *drdy + dP3dt *dtdy ));
 
    // Psi 4
    const double dP4dr = ( 1.0 / ( 2.0 * sqrt(iR) ) ) * cos(0.5 * iTheta) * sin(iTheta);
    const double dP4dt = -0.5 * sqrt(iR) * sin(0.5 * iTheta) * sin(iTheta) + sqrt(iR) * cos(0.5 * iTheta) * cos(iTheta);
    oEnrFuncDeriv.push_back(Vec2( dP4dr *drdx + dP4dt *dtdx, dP4dr *drdy + dP4dt *dtdy ));
}
 
void LinElBranchFunction :: giveJump(std :: vector< double > &oJumps) const
{
    OOFEM_ERROR("The radius is needed to compute the jump for branch functions.")
}
 
void LinElBranchFunction :: giveJump(std :: vector< double > &oJumps, const double &iRadius) const
{
 
    oJumps.clear();
    oJumps.push_back( 2.0 * sqrt(iRadius) );
    oJumps.push_back(0.0);
    oJumps.push_back(0.0);
    oJumps.push_back(0.0);
}
 
void CohesiveBranchFunction :: evaluateEnrFuncAt(std :: vector< double > &oEnrFunc, const double &iR, const double &iTheta) const
{
    oEnrFunc.push_back( pow(iR,mExponent) * sin(0.5 * iTheta) );
}
 
void CohesiveBranchFunction :: evaluateEnrFuncDerivAt(std :: vector< FloatArray > &oEnrFuncDeriv, const double &iR, const double &iTheta) const
{
    // Evaluate the enrichment function derivatives using the chain rule:
    // dPdx = dPdr*drdx + dPdt*dtdx
    // dPdy = dPdr*drdy + dPdt*dtdy
 
    const double drdx =  cos(iTheta);
    const double drdy =  sin(iTheta);
    const double dtdx = -( 1.0 / iR ) * sin(iTheta);
    const double dtdy =  ( 1.0 / iR ) * cos(iTheta);
 
    FloatArray dP;
 
    // Psi 1
    const double dP1dr = mExponent*pow(iR, mExponent-1.0) * sin(0.5 * iTheta);
    const double dP1dt = 0.5 * pow(iR,mExponent) * cos(0.5 * iTheta);
    oEnrFuncDeriv.push_back(Vec2( dP1dr *drdx + dP1dt *dtdx, dP1dr *drdy + dP1dt *dtdy ));
}
 
void CohesiveBranchFunction :: giveJump(std :: vector< double > &oJumps) const
{
    OOFEM_ERROR("The radius is needed to compute the jump for branch functions.")
}
 
void CohesiveBranchFunction :: giveJump(std :: vector< double > &oJumps, const double &iRadius) const
{
 
    oJumps.clear();
    oJumps.push_back( 2.0 * pow(iRadius,mExponent) );
}
 
} // end namespace oofem