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// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
#ifndef ELASTICITY_TERM_H
#define ELASTICITY_TERM_H
#include "femTerm.h"
#include "GmshGlobal.h"
#include "GModel.h"
#include "polynomialBasis.h"
#include "SElement.h"
#include "fullMatrix.h"
struct elasticityDataAtGaussPoint {
std::vector<fullMatrix<double> > gradSF;
std::vector<double> u, v, w, weight;
};
class elasticityTerm : public femTerm<double> {
protected:
double _e, _nu;
int _iFieldR, _iFieldC;
SVector3 _volumeForce;
mutable std::map<int, elasticityDataAtGaussPoint> _data;
void createData(MElement *) const;
public:
void setFieldC(int i) { _iFieldC = i; }
void setFieldR(int i) { _iFieldR = i; }
// element matrix size : 3 dofs per vertex
virtual int sizeOfR(SElement *se) const
{
return 3 * se->getMeshElement()->getNumShapeFunctions();
}
virtual int sizeOfC(SElement *se) const
{
return 3 * se->getMeshElement()->getNumShapeFunctions();
}
// order dofs in the local matrix :
// dx1, dx2 ... dxn, dy1, ..., dyn, dz1, ... dzn
Dof getLocalDofR(SElement *se, int iRow) const
{
MElement *e = se->getMeshElement();
int iCompR = iRow / (int)e->getNumShapeFunctions();
int ithLocalVertex = iRow % (int)e->getNumShapeFunctions();
return Dof(e->getShapeFunctionNode(ithLocalVertex)->getNum(),
Dof::createTypeWithTwoInts(iCompR, _iFieldR));
}
Dof getLocalDofC(SElement *se, int iCol) const
{
MElement *e = se->getMeshElement();
int iCompC = iCol / (int)e->getNumShapeFunctions();
int ithLocalVertex = iCol % (int)e->getNumShapeFunctions();
return Dof(e->getShapeFunctionNode(ithLocalVertex)->getNum(),
Dof::createTypeWithTwoInts(iCompC, _iFieldC));
}
public:
elasticityTerm(GModel *gm, double E, double nu, int fieldr, int fieldc)
: femTerm<double>(gm), _e(E), _nu(nu), _iFieldR(fieldr), _iFieldC(fieldc)
{
}
elasticityTerm(GModel *gm, double E, double nu, int fieldr)
: femTerm<double>(gm), _e(E), _nu(nu), _iFieldR(fieldr), _iFieldC(fieldr)
{
}
void setVector(const SVector3 &f) { _volumeForce = f; }
void elementMatrix(SElement *se, fullMatrix<double> &m) const;
void elementVector(SElement *se, fullVector<double> &m) const;
};
/*
Formulation of elasticity with 3 fields
-) displacement U
-) lagrange multipliers p and g
g = trace (epsilon)
p = trace (epsilon)
*/
class elasticityMixedTerm : public femTerm<double> {
protected:
double _e, _nu;
mutable int _iField, _polyOrderN, _polyOrderM, _sizeN, _sizeM;
mutable polynomialBasis *_pN, *_pM;
void setPolynomialBasis(SElement *se) const
{
_polyOrderN = se->getMeshElement()->getPolynomialOrder();
_polyOrderM = se->getMeshElement()->getPolynomialOrder();
_pN =
(polynomialBasis *)se->getMeshElement()->getFunctionSpace(_polyOrderN);
_pM =
(polynomialBasis *)se->getMeshElement()->getFunctionSpace(_polyOrderM);
_sizeN = _pN->coefficients.size1();
_sizeM = _pM->coefficients.size1();
}
public:
void setField(int i) { _iField = i; }
// element matrix size : 3 dofs per vertex
virtual int sizeOfR(SElement *se) const
{
setPolynomialBasis(se);
return 3 * _sizeN + 2 * _sizeM;
}
virtual int sizeOfC(SElement *se) const { return sizeOfR(se); }
// order dofs in the local matrix :
// dx1, dx2 ... dxn, dy1, ..., dyn, dz1, ... dzn ,
// p1,p2,...,pm, g1,g2,...,gm
Dof getLocalDofR(SElement *se, int iRow) const
{
setPolynomialBasis(se);
MElement *e = se->getMeshElement();
int iComp;
int ithLocalVertex;
if(iRow < 3 * _sizeN) {
iComp = iRow / _sizeN;
ithLocalVertex = iRow % _sizeN;
}
else {
iRow -= 3 * _sizeN;
iComp = 3 + iRow / _sizeM;
ithLocalVertex = iRow % _sizeM;
}
return Dof(e->getShapeFunctionNode(ithLocalVertex)->getNum(),
Dof::createTypeWithTwoInts(iComp, _iField));
}
Dof getLocalDofC(SElement *se, int iCol) const
{
return getLocalDofR(se, iCol);
}
public:
elasticityMixedTerm(GModel *gm, double E, double nu, int field)
: femTerm<double>(gm), _e(E), _nu(nu), _iField(field)
{
}
void elementMatrix(SElement *se, fullMatrix<double> &m) const;
void elementVector(SElement *se, fullVector<double> &m) const {}
void setYoung(double E) { _e = E; }
};
#endif
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