예제 #1
0
void
ZZErrorEstimatorInterface :: ZZErrorEstimatorI_computeElementContributions(double &eNorm, double &sNorm,
                                                                           ZZErrorEstimator :: NormType norm,
                                                                           InternalStateType type,
                                                                           TimeStep *tStep)
{
    int nDofMans;
    FEInterpolation *interpol = element->giveInterpolation();
    const FloatArray *recoveredStress;
    FloatArray sig, lsig, diff, ldiff, n;
    FloatMatrix nodalRecoveredStreses;

    nDofMans = element->giveNumberOfDofManagers();
    // assemble nodal recovered stresses
    for ( int i = 1; i <= element->giveNumberOfNodes(); i++ ) {
        element->giveDomain()->giveSmoother()->giveNodalVector( recoveredStress,
                                                            element->giveDofManager(i)->giveNumber() );
        if ( i == 1 ) {
            nodalRecoveredStreses.resize( nDofMans, recoveredStress->giveSize() );
        }
        for ( int j = 1; j <= recoveredStress->giveSize(); j++ ) {
            nodalRecoveredStreses.at(i, j) = recoveredStress->at(j);
        }
    }
    /* Note: The recovered stresses should be in global coordinate system. This is important for shells, for example, to make
     * sure that forces and moments in the same directions are averaged. For elements where local and global coordina systems
     * are the same this does not matter.
     */

    eNorm = sNorm = 0.0;

    // compute  the e-norm and s-norm
    if ( norm == ZZErrorEstimator :: L2Norm ) {
        for ( GaussPoint *gp: *this->ZZErrorEstimatorI_giveIntegrationRule() ) {
            double dV = element->computeVolumeAround(gp);
            interpol->evalN( n, * gp->giveNaturalCoordinates(), FEIElementGeometryWrapper(element) );

            diff.beTProductOf(nodalRecoveredStreses, n);

            element->giveIPValue(sig, gp, type, tStep);
            /* the internal stress difference is in global coordinate system */
            diff.subtract(sig);

            eNorm += diff.computeSquaredNorm() * dV;
            sNorm += sig.computeSquaredNorm() * dV;
        }
    } else if ( norm == ZZErrorEstimator :: EnergyNorm ) {
        FloatArray help, ldiff_reduced, lsig_reduced;
        FloatMatrix D, DInv;
        StructuralElement *selem = static_cast< StructuralElement * >(element);

        for ( GaussPoint *gp: *this->ZZErrorEstimatorI_giveIntegrationRule() ) {
            double dV = element->computeVolumeAround(gp);
            interpol->evalN( n, * gp->giveNaturalCoordinates(), FEIElementGeometryWrapper(element) );
            selem->computeConstitutiveMatrixAt(D, TangentStiffness, gp, tStep);
            DInv.beInverseOf(D);

            diff.beTProductOf(nodalRecoveredStreses, n);

            element->giveIPValue(sig, gp, type, tStep); // returns full value now
            diff.subtract(sig);
            /* the internal stress difference is in global coordinate system */
            /* needs to be transformed into local system to compute associated energy */
            this->ZZErrorEstimatorI_computeLocalStress(ldiff, diff);
            StructuralMaterial :: giveReducedSymVectorForm( ldiff_reduced, ldiff, gp->giveMaterialMode() );

            help.beProductOf(DInv, ldiff_reduced);
            eNorm += ldiff_reduced.dotProduct(help) * dV;
            this->ZZErrorEstimatorI_computeLocalStress(lsig, sig);
            StructuralMaterial :: giveReducedSymVectorForm( lsig_reduced, lsig, gp->giveMaterialMode() );
            help.beProductOf(DInv, lsig_reduced);
            sNorm += lsig_reduced.dotProduct(help) * dV;
        }
    } else {
        OOFEM_ERROR("unsupported norm type");
    }

    eNorm = sqrt(eNorm);
    sNorm = sqrt(sNorm);
}