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rAKA/src/model/solid_mechanics/materials/material_elastic.cc
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material_elastic.cc
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/**
* Copyright (©) 2010-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This file is part of Akantu
*
* 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"
/* -------------------------------------------------------------------------- */
namespace akantu {
/* -------------------------------------------------------------------------- */
template <Int dim>
MaterialElastic<dim>::MaterialElastic(SolidMechanicsModel & model,
const ID & id)
: Parent(model, id), was_stiffness_assembled(false) {
AKANTU_DEBUG_IN();
this->initialize();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <Int dim>
MaterialElastic<dim>::MaterialElastic(SolidMechanicsModel & model,
Int /*a_dim*/, const Mesh & mesh,
FEEngine & fe_engine, const ID & id)
: Parent(model, dim, mesh, fe_engine, id), was_stiffness_assembled(false) {
AKANTU_DEBUG_IN();
this->initialize();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <Int dim> void MaterialElastic<dim>::initialize() {
this->registerParam("lambda", lambda, _pat_readable,
"First Lamé coefficient");
this->registerParam("mu", mu, _pat_readable, "Second Lamé coefficient");
this->registerParam("kapa", kpa, _pat_readable, "Bulk coefficient");
}
/* -------------------------------------------------------------------------- */
template <Int dim> void MaterialElastic<dim>::initMaterial() {
AKANTU_DEBUG_IN();
Parent::initMaterial();
if (dim == 1) {
this->nu = 0.;
}
this->updateInternalParameters();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <Int dim> void MaterialElastic<dim>::updateInternalParameters() {
MaterialThermal<dim>::updateInternalParameters();
this->lambda = this->nu * this->E / ((1 + this->nu) * (1 - 2 * this->nu));
this->mu = this->E / (2 * (1 + this->nu));
this->kpa = this->lambda + 2. / 3. * this->mu;
this->was_stiffness_assembled = false;
}
/* -------------------------------------------------------------------------- */
template <> void MaterialElastic<2>::updateInternalParameters() {
MaterialThermal<2>::updateInternalParameters();
this->lambda = this->nu * this->E / ((1 + this->nu) * (1 - 2 * this->nu));
this->mu = this->E / (2 * (1 + this->nu));
if (this->plane_stress) {
this->lambda = this->nu * this->E / ((1 + this->nu) * (1 - this->nu));
}
this->kpa = this->lambda + 2. / 3. * this->mu;
this->was_stiffness_assembled = false;
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void MaterialElastic<dim>::computeStress(ElementType el_type,
GhostType ghost_type) {
AKANTU_DEBUG_IN();
Parent::computeStress(el_type, ghost_type);
auto && arguments = Parent::getArguments(el_type, ghost_type);
if (not this->finite_deformation) {
for (auto && args : arguments) {
this->computeStressOnQuad(args);
}
} else {
for (auto && args : arguments) {
auto && E = this->template gradUToE<dim>(args["grad_u"_n]);
this->computeStressOnQuad(tuple::replace(args, "grad_u"_n = E));
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void MaterialElastic<dim>::computeTangentModuli(ElementType el_type,
Array<Real> & tangent_matrix,
GhostType ghost_type) {
AKANTU_DEBUG_IN();
auto && arguments =
Parent::getArgumentsTangent(tangent_matrix, el_type, ghost_type);
for (auto && args : arguments) {
this->computeTangentModuliOnQuad(args);
}
this->was_stiffness_assembled = true;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <Int dim>
Real MaterialElastic<dim>::getPushWaveSpeed(const Element &) const {
return sqrt((lambda + 2 * mu) / this->rho);
}
/* -------------------------------------------------------------------------- */
template <Int dim>
Real MaterialElastic<dim>::getShearWaveSpeed(const Element &) const {
return sqrt(mu / this->rho);
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void MaterialElastic<dim>::computePotentialEnergy(ElementType el_type) {
AKANTU_DEBUG_IN();
// needs to be implemented
// MaterialThermal<dim>::computePotentialEnergy(el_type);
auto epot = this->potential_energy(el_type, _not_ghost).begin();
auto && arguments = Parent::getArguments(el_type, _not_ghost);
if (not this->finite_deformation) {
for (auto && [args, epot] :
zip(arguments, this->potential_energy(el_type, _not_ghost))) {
this->computePotentialEnergyOnQuad(args, epot);
}
} else {
for (auto && [args, epot] :
zip(arguments, this->potential_energy(el_type, _not_ghost))) {
auto && E = this->template gradUToE<dim>(args["grad_u"_n]);
this->computePotentialEnergyOnQuad(tuple::replace(args, "grad_u"_n = E),
epot);
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void MaterialElastic<dim>::computePotentialEnergyByElement(
const Element & element, Vector<Real> & epot_on_quad_points) {
auto type = element.type;
auto gradu_view = make_view<dim, dim>(this->gradu(type));
auto stress_view = make_view<dim, dim>(this->stress(type));
if (this->finite_deformation) {
stress_view = make_view<dim, dim>(this->piola_kirchhoff_2(type));
}
auto nb_quadrature_points = this->fem.getNbIntegrationPoints(type);
auto gradu_it = gradu_view.begin() + element.element * nb_quadrature_points;
auto gradu_end = gradu_it + nb_quadrature_points;
auto stress_it = stress_view.begin() + element.element * nb_quadrature_points;
auto stress_end = stress_it + nb_quadrature_points;
auto epot_quad = epot_on_quad_points.begin();
Matrix<Real> grad_u(dim, dim);
if (this->finite_deformation) {
for (auto && data : zip("grad_u"_n = range(gradu_it, gradu_end),
"sigma"_n = range(stress_it, stress_end),
"Epot"_n = epot_on_quad_points)) {
auto E = this->template gradUToE<dim>(data["grad_u"_n]);
this->computePotentialEnergyOnQuad(tuple::replace(data, "grad_u"_n = E),
data["Epot"_n]);
}
} else {
for (auto && data : zip("grad_u"_n = range(gradu_it, gradu_end),
"sigma"_n = range(stress_it, stress_end),
"Epot"_n = epot_on_quad_points)) {
this->computePotentialEnergyOnQuad(data, data["Epot"_n]);
}
}
}
/* -------------------------------------------------------------------------- */
template <>
Real MaterialElastic<1>::getPushWaveSpeed(const Element & /*element*/) const {
return std::sqrt(this->E / this->rho);
}
template <>
Real MaterialElastic<1>::getShearWaveSpeed(const Element & /*element*/) const {
AKANTU_EXCEPTION("There is no shear wave speed in 1D");
}
/* -------------------------------------------------------------------------- */
template class MaterialElastic<1>;
template class MaterialElastic<2>;
template class MaterialElastic<3>;
static bool material_is_allocated_elastic =
instantiateMaterial<MaterialElastic>("elastic");
} // namespace akantu
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