bool Elasticity::evalSol (Vector& s, const Vectors& eV, const FiniteElement& fe,
const Vec3& X, bool toLocal, Vec3* pdir) const
{
if (eV.empty())
{
std::cerr <<" *** Elasticity::evalSol: No solutions vector."<< std::endl;
return false;
}
else if (!eV.front().empty() && eV.front().size() != fe.dNdX.rows()*nsd)
{
std::cerr <<" *** Elasticity::evalSol: Invalid displacement vector."
<<"\n size(eV) = "<< eV.front().size() <<" size(dNdX) = "
<< fe.dNdX.rows() <<","<< fe.dNdX.cols() << std::endl;
return false;
}
// Evaluate the deformation gradient, dUdX, and/or the strain tensor, eps
Matrix Bmat;
Tensor dUdX(nDF);
SymmTensor eps(nsd,axiSymmetry);
if (!this->kinematics(eV.front(),fe.N,fe.dNdX,X.x,Bmat,dUdX,eps))
return false;
// Add strains due to temperature expansion, if any
double epsT = this->getThermalStrain(eV.back(),fe.N,X);
if (epsT != 0.0) eps -= epsT;
// Calculate the stress tensor through the constitutive relation
Matrix Cmat;
SymmTensor sigma(nsd, axiSymmetry || material->isPlaneStrain()); double U;
if (!material->evaluate(Cmat,sigma,U,fe,X,dUdX,eps))
return false;
else if (epsT != 0.0 && nsd == 2 && material->isPlaneStrain())
sigma(3,3) -= material->getStiffness(X)*epsT;
Vec3 p;
bool havePval = false;
if (toLocal && wantPrincipalStress)
{
// Calculate principal stresses and associated direction vectors
if (sigma.size() == 4)
{
SymmTensor tmp(2); tmp = sigma; // discard the sigma_zz component
havePval = pdir ? tmp.principal(p,pdir,2) : tmp.principal(p);
}
else
havePval = pdir ? sigma.principal(p,pdir,2) : sigma.principal(p);
// Congruence transformation to local coordinate system at current point
if (locSys) sigma.transform(locSys->getTmat(X));
}
s = sigma;
if (toLocal)
s.push_back(sigma.vonMises());
if (havePval)
{
s.push_back(p.x);
s.push_back(p.y);
if (sigma.dim() == 3)
s.push_back(p.z);
}
return true;
}
