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rAKA/model/solid_mechanics/materials/material_elastic.cc
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material_elastic.cc
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/**
* @file material_elastic.cc
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @date Tue Jul 27 11:53:52 2010
*
* @brief Specialization of the material class for the elastic material
*
* @section LICENSE
*
* Copyright (©) 2010-2011 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* Akantu 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 3 of the License, or (at your option) any
* later version.
*
* Akantu 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 Akantu. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "material_elastic.hh"
#include "solid_mechanics_model.hh"
__BEGIN_AKANTU__
/* -------------------------------------------------------------------------- */
MaterialElastic::MaterialElastic(SolidMechanicsModel & model, const MaterialID & id) :
Material(model, id) {
AKANTU_DEBUG_IN();
rho = 0;
E = 0;
nu = 1./2.;
plain_stress = false;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MaterialElastic::initMaterial() {
AKANTU_DEBUG_IN();
Material::initMaterial();
lambda = nu * E / ((1 + nu) * (1 - 2*nu));
mu = E / (2 * (1 + nu));
if(plain_stress)
lambda = 2 * lambda * mu / (lambda + 2 * mu);
kpa = lambda + 2./3. * mu;
is_init = true;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MaterialElastic::computeStress(ElementType el_type, GhostType ghost_type) {
AKANTU_DEBUG_IN();
Real F[3*3];
Real sigma[3*3];
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN;
memset(F, 0, 3 * 3 * sizeof(Real));
for (UInt i = 0; i < spatial_dimension; ++i)
for (UInt j = 0; j < spatial_dimension; ++j)
F[3*i + j] = strain_val[spatial_dimension * i + j];
for (UInt i = 0; i < spatial_dimension; ++i) F[i*3 + i] -= 1;
computeStress(F, sigma);
for (UInt i = 0; i < spatial_dimension; ++i)
for (UInt j = 0; j < spatial_dimension; ++j)
stress_val[spatial_dimension*i + j] = sigma[3 * i + j];
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MaterialElastic::computeTangentStiffness(const ElementType & el_type,
Vector<Real> & tangent_matrix,
GhostType ghost_type) {
switch(spatial_dimension) {
case 1: { computeTangentStiffnessByDim<1>(el_type, tangent_matrix, ghost_type); break; }
case 2: { computeTangentStiffnessByDim<2>(el_type, tangent_matrix, ghost_type); break; }
case 3: { computeTangentStiffnessByDim<3>(el_type, tangent_matrix, ghost_type); break; }
}
};
/* -------------------------------------------------------------------------- */
void MaterialElastic::computePotentialEnergy(ElementType el_type, GhostType ghost_type) {
AKANTU_DEBUG_IN();
if(ghost_type != _not_ghost) return;
Real * epot = potential_energy[el_type]->values;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN;
computePotentialEnergy(strain_val, stress_val, epot);
epot++;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MaterialElastic::setParam(const std::string & key, const std::string & value,
const MaterialID & id) {
std::stringstream sstr(value);
if(key == "rho") { sstr >> rho; }
else if(key == "E") { sstr >> E; }
else if(key == "nu") { sstr >> nu; }
else if(key == "Plain_Stress") { sstr >> plain_stress; }
else { Material::setParam(key, value, id); }
}
/* -------------------------------------------------------------------------- */
void MaterialElastic::printself(std::ostream & stream, int indent) const {
std::string space;
for(Int i = 0; i < indent; i++, space += AKANTU_INDENT);
stream << space << "Material<_elastic> [" << std::endl;
if(!plain_stress)
stream << space << " + Plain strain" << std::endl;
else
stream << space << " + Plain stress" << std::endl;
stream << space << " + id : " << id << std::endl;
stream << space << " + name : " << name << std::endl;
stream << space << " + density : " << rho << std::endl;
stream << space << " + Young's modulus : " << E << std::endl;
stream << space << " + Poisson's ratio : " << nu << std::endl;
if(is_init) {
stream << space << " + First Lamé coefficient : " << lambda << std::endl;
stream << space << " + Second Lamé coefficient : " << mu << std::endl;
stream << space << " + Bulk coefficient : " << kpa << std::endl;
}
stream << space << "]" << std::endl;
}
/* -------------------------------------------------------------------------- */
__END_AKANTU__
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