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test_material_linear_elastic4.cc
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test_material_linear_elastic4.cc
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/**
* @file test_material_linear_elastic4.cc
*
* @author Richard Leute <richard.leute@imtek.uni-freiburg.de>
*
* @date 27 Mar 2018
*
* @brief description
*
* Copyright © 2018 Richard Leute
*
* µSpectre 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, or (at
* your option) any later version.
*
* µSpectre 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
* General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with µSpectre; see the file COPYING. If not, write to the
* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
* * Boston, MA 02111-1307, USA.
*
* Additional permission under GNU GPL version 3 section 7
*
* If you modify this Program, or any covered work, by linking or combining it
* with proprietary FFT implementations or numerical libraries, containing parts
* covered by the terms of those libraries' licenses, the licensors of this
* Program grant you additional permission to convey the resulting work.
*/
#include <boost/mpl/list.hpp>
#include "tests.hh"
#include "materials/material_linear_elastic4.hh"
#include "materials/materials_toolbox.hh"
#include "common/T4_map_proxy.hh"
#include "cmath"
namespace muSpectre {
BOOST_AUTO_TEST_SUITE(material_linear_elastic_4);
template <class Mat_t>
struct MaterialFixture {
using Material_t = Mat_t;
Material_t mat;
MaterialFixture() : mat("name") {
mat.add_pixel({0}, Youngs_modulus, Poisson_ratio);
}
Real Youngs_modulus{10};
Real Poisson_ratio{0.3};
};
using mat_list =
boost::mpl::list<MaterialFixture<MaterialLinearElastic4<twoD, twoD>>,
MaterialFixture<MaterialLinearElastic4<twoD, threeD>>,
MaterialFixture<MaterialLinearElastic4<threeD, threeD>>>;
BOOST_FIXTURE_TEST_CASE_TEMPLATE(test_constructor, Fix, mat_list, Fix){};
BOOST_FIXTURE_TEST_CASE_TEMPLATE(test_response, Fix, mat_list, Fix) {
constexpr Dim_t Dim{Fix::Material_t::Parent::Parent::mdim()};
Eigen::Matrix<Real, Dim, Dim> E;
E.setZero();
E(0, 0) = 0.001;
E(1, 0) = E(0, 1) = 0.005;
using Hooke =
MatTB::Hooke<Dim, Eigen::Matrix<Real, Dim, Dim>, T4Mat<Real, Dim>>;
Real lambda =
Hooke::compute_lambda(Fix::Youngs_modulus, Fix::Poisson_ratio);
Real mu = Hooke::compute_mu(Fix::Youngs_modulus, Fix::Poisson_ratio);
Eigen::Matrix<Real, Dim, Dim> stress =
Fix::mat.evaluate_stress(E, lambda, mu);
Real sigma00 = lambda * E(0, 0) + 2 * mu * E(0, 0);
Real sigma01 = 2 * mu * E(0, 1);
Real sigma11 = lambda * E(0, 0);
BOOST_CHECK_LT(std::abs(stress(0, 0) - sigma00), tol);
BOOST_CHECK_LT(std::abs(stress(0, 1) - sigma01), tol);
BOOST_CHECK_LT(std::abs(stress(1, 0) - sigma01), tol);
BOOST_CHECK_LT(std::abs(stress(1, 1) - sigma11), tol);
if (Dim == threeD) {
for (int i = 0; i < Dim - 1; ++i) {
BOOST_CHECK_LT(std::abs(stress(2, i)), tol);
BOOST_CHECK_LT(std::abs(stress(i, 2)), tol);
}
BOOST_CHECK_LT(std::abs(stress(2, 2) - sigma11), tol);
}
};
BOOST_AUTO_TEST_SUITE_END();
} // namespace muSpectre

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