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test_finite_deformation.cc
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test_finite_deformation.cc
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/**
* @file test_finite_deformation.cc
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Mon Nov 11 2019
* @date last modification: Wed May 27 2020
*
* @brief Test for dinite deformation
*
*
* @section LICENSE
*
* Copyright (©) 2018-2021 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 <solid_mechanics_model.hh>
/* -------------------------------------------------------------------------- */
#include <gtest/gtest.h>
#include <type_traits>
/* -------------------------------------------------------------------------- */
using namespace akantu;
TEST(TestFiniteDeformation, NotUnit) {
getStaticParser().parse("material_finite_deformation.dat");
const double pi = std::atan(1) * 4;
constexpr int dim = 3;
Mesh mesh(dim);
mesh.read("1_tetrahedron.msh");
SolidMechanicsModel model(mesh);
model.initFull(_analysis_method = _static);
#if DEBUG_TEST
model.addDumpField("displacement");
model.addDumpField("internal_force");
model.addDumpField("stress");
model.addDumpField("strain");
model.dump();
#endif
Matrix<Real> alpha{{0.00, 0.02, 0.03, 0.04},
{0.00, 0.06, 0.07, 0.08},
{0.00, 0.10, 0.11, 0.12}};
auto impose_disp = [&] {
model.getDisplacement().zero();
for (auto data : zip(make_view(mesh.getNodes(), dim),
make_view(model.getDisplacement(), dim),
make_view(model.getBlockedDOFs(), dim))) {
auto & pos = std::get<0>(data);
auto & dis = std::get<1>(data);
auto & blocked = std::get<2>(data);
blocked.set(true);
dis += alpha(0);
for (auto p : arange(dim)) {
dis += alpha(1 + p) * pos(p);
}
}
};
impose_disp();
model.solveStep();
#if DEBUG_TEST
model.dump();
#endif
auto stesses0 = model.getMaterial(0).getStress();
auto displacement0 = model.getDisplacement();
auto internal_force0 = model.getInternalForce();
auto theta = pi / 4;
Matrix<Real> R{{1., 0., 0.},
{0., std::cos(theta), -std::sin(theta)},
{0., std::sin(theta), std::cos(theta)}};
impose_disp();
for (auto data : zip(make_view(mesh.getNodes(), dim),
make_view(model.getDisplacement(), dim))) {
auto & X = std::get<0>(data);
auto & u = std::get<1>(data);
u = R * (X + u) - X;
}
model.solveStep();
#if DEBUG_TEST
model.dump();
#endif
for (auto data : zip(make_view(mesh.getNodes(), dim),
make_view(model.getDisplacement(), dim),
make_view(displacement0, dim),
make_view(model.getInternalForce(), dim),
make_view(internal_force0, dim))) {
auto pos = std::get<0>(data);
Vector<Real> refdis(dim);
refdis = alpha(0);
for (auto p : arange(dim)) {
refdis += alpha(1 + p) * pos(p);
}
auto dis = std::get<1>(data);
auto dis0 = std::get<2>(data);
auto err = refdis.distance(dis0);
EXPECT_NEAR(err, 0, 1e-14);
auto err1 = dis.distance(R * (pos + dis0) - pos);
EXPECT_NEAR(err1, 0, 1e-14);
auto f = std::get<3>(data);
auto f0 = std::get<4>(data);
auto err3 = f.distance(R * f0);
EXPECT_NEAR(err3, 0, 1e-5);
}
}

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