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rAKA/src/model/solid_mechanics/materials/material_finite_deformation/material_neohookean.cc
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/**
* Copyright (©) 2013-2023 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_neohookean.hh"
#include "solid_mechanics_model.hh"
namespace akantu {
/* -------------------------------------------------------------------------- */
template <Int spatial_dimension>
MaterialNeohookean<spatial_dimension>::MaterialNeohookean(
SolidMechanicsModel & model, const ID & id)
: Parent(model, id) {
this->registerParam("E", E, Real(0.), _pat_parsable | _pat_modifiable,
"Young's modulus");
this->registerParam("nu", nu, Real(0.5), _pat_parsable | _pat_modifiable,
"Poisson's ratio");
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");
this->finite_deformation = true;
}
/* -------------------------------------------------------------------------- */
template <Int spatial_dimension>
void MaterialNeohookean<spatial_dimension>::initMaterial() {
PlaneStressToolbox<spatial_dimension>::initMaterial();
if (spatial_dimension == 1) {
nu = 0.;
}
this->updateInternalParameters();
}
/* -------------------------------------------------------------------------- */
template <> void MaterialNeohookean<2>::initMaterial() {
PlaneStressToolbox<2>::initMaterial();
this->updateInternalParameters();
}
/* -------------------------------------------------------------------------- */
template <Int spatial_dimension>
void MaterialNeohookean<spatial_dimension>::updateInternalParameters() {
lambda = nu * E / ((1 + nu) * (1 - 2 * nu));
mu = E / (2 * (1 + nu));
kpa = lambda + 2. / 3. * mu;
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void MaterialNeohookean<dim>::computeCauchyStressPlaneStress(
ElementType el_type, GhostType ghost_type) {
PlaneStressToolbox<dim>::computeCauchyStressPlaneStress(el_type, ghost_type);
}
/* -------------------------------------------------------------------------- */
template <>
void MaterialNeohookean<2>::computeCauchyStressPlaneStress(
ElementType el_type, GhostType ghost_type) {
for (auto && [grad_u, piola, sigma, c33] :
zip(make_view<2, 2>(this->gradu(el_type, ghost_type)),
make_view<2, 2>((*this->piola_kirchhoff_2)(el_type, ghost_type)),
make_view<2, 2>(this->stress(el_type, ghost_type)),
make_view(this->third_axis_deformation(el_type, ghost_type)))) {
StoCauchy<2>(gradUToF<2>(grad_u), piola, sigma, c33);
}
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void MaterialNeohookean<dim>::computeStress(ElementType el_type,
GhostType ghost_type) {
PlaneStressToolbox<dim>::computeStress(el_type, ghost_type);
for (auto && args : this->getArguments(el_type, ghost_type)) {
computeStressOnQuad(args);
}
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void MaterialNeohookean<dim>::computeThirdAxisDeformation(
ElementType /*el_type*/, GhostType /*ghost_type*/) {}
/* -------------------------------------------------------------------------- */
template <>
void MaterialNeohookean<2>::computeThirdAxisDeformation(ElementType el_type,
GhostType ghost_type) {
AKANTU_DEBUG_ASSERT(this->plane_stress, "The third component of the strain "
"can only be computed for 2D "
"problems in Plane Stress!!");
for (auto && args : getArguments(el_type, ghost_type)) {
computeThirdAxisDeformationOnQuad(args);
}
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void MaterialNeohookean<dim>::computePotentialEnergy(ElementType el_type) {
Parent::computePotentialEnergy(el_type);
auto && arguments = Parent::getArguments(el_type, _not_ghost);
for (auto && [args, epot] :
zip(arguments, this->potential_energy(el_type, _not_ghost))) {
this->computePotentialEnergyOnQuad(args, epot);
}
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void MaterialNeohookean<dim>::computeTangentModuli(ElementType el_type,
Array<Real> & tangent_matrix,
GhostType ghost_type) {
auto && arguments =
Parent::getArgumentsTangent(tangent_matrix, el_type, ghost_type);
Parent::computeStress(el_type, ghost_type);
for (auto && args : arguments) {
computeTangentModuliOnQuad(args);
}
}
/* -------------------------------------------------------------------------- */
template <Int dim>
Real MaterialNeohookean<dim>::getPushWaveSpeed(
const Element & /*element*/) const {
return std::sqrt((this->lambda + 2 * this->mu) / this->rho);
}
/* -------------------------------------------------------------------------- */
template <Int dim>
Real MaterialNeohookean<dim>::getShearWaveSpeed(
const Element & /*element*/) const {
return std::sqrt(this->mu / this->rho);
}
/* -------------------------------------------------------------------------- */
template class MaterialNeohookean<1>;
template class MaterialNeohookean<2>;
template class MaterialNeohookean<3>;
const bool material_is_allocated_neohookean [[maybe_unused]] =
instantiateMaterial<MaterialNeohookean>("neohookean");
} // namespace akantu
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