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patch_test_linear_anisotropic.cc
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/**
* @file patch_test_linear_anisotropic_explicit.cc
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Till Junge <till.junge@epfl.ch>
* @author David Simon Kammer <david.kammer@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Cyprien Wolff <cyprien.wolff@epfl.ch>
*
* @date creation: Tue Dec 05 2017
* @date last modification: Tue Feb 13 2018
*
* @brief patch test for elastic material in solid mechanics model
*
* @section LICENSE
*
* Copyright (©) 2016-2018 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 "non_linear_solver.hh"
#include "patch_test_linear_solid_mechanics_fixture.hh"
/* -------------------------------------------------------------------------- */
using namespace akantu;
// Stiffness tensor, rotated by hand
/* -------------------------------------------------------------------------- */
TYPED_TEST(TestPatchTestSMMLinear, AnisotropicExplicit) {
Real C[3][3][3][3] = {
{{{112.93753505, 1.85842452538e-10, -4.47654358027e-10},
{1.85847317471e-10, 54.2334345331, -3.69840984824},
{-4.4764768395e-10, -3.69840984824, 56.848605217}},
{{1.85847781609e-10, 25.429294233, -3.69840984816},
{25.429294233, 3.31613847493e-10, -8.38797920011e-11},
{-3.69840984816, -8.38804581349e-11, -1.97875715813e-10}},
{{-4.47654358027e-10, -3.69840984816, 28.044464917},
{-3.69840984816, 2.09374961813e-10, 9.4857455224e-12},
{28.044464917, 9.48308098714e-12, -2.1367885239e-10}}},
{{{1.85847781609e-10, 25.429294233, -3.69840984816},
{25.429294233, 3.31613847493e-10, -8.38793479119e-11},
{-3.69840984816, -8.38795699565e-11, -1.97876381947e-10}},
{{54.2334345331, 3.31617400207e-10, 2.09372075233e-10},
{3.3161562385e-10, 115.552705733, -3.15093728886e-10},
{2.09372075233e-10, -3.15090176173e-10, 54.2334345333}},
{{-3.69840984824, -8.38795699565e-11, 9.48219280872e-12},
{-8.38795699565e-11, -3.1509195253e-10, 25.4292942335},
{9.48441325477e-12, 25.4292942335, 3.69840984851}}},
{{{-4.47653469848e-10, -3.69840984816, 28.044464917},
{-3.69840984816, 2.09374073634e-10, 9.48752187924e-12},
{28.044464917, 9.48552347779e-12, -2.1367885239e-10}},
{{-3.69840984824, -8.3884899027e-11, 9.48219280872e-12},
{-8.3884899027e-11, -3.150972816e-10, 25.4292942335},
{9.48041645188e-12, 25.4292942335, 3.69840984851}},
{{56.848605217, -1.97875493768e-10, -2.13681516925e-10},
{-1.97877270125e-10, 54.2334345333, 3.69840984851},
{-2.13683293282e-10, 3.69840984851, 112.93753505}}}};
if (this->dim == 2) {
for (UInt i = 0; i < this->dim; ++i) {
for (UInt j = 0; j < this->dim; ++j) {
for (UInt k = 0; k < this->dim; ++k) {
for (UInt l = 0; l < this->dim; ++l) {
C[i][j][k][l] = 0;
}
}
}
}
C[0][0][0][0] = C[1][1][1][1] = 112.93753504999995;
C[0][0][1][1] = C[1][1][0][0] = 51.618263849999984;
C[0][1][0][1] = C[1][0][0][1] = C[0][1][1][0] = C[1][0][1][0] =
22.814123549999987;
}
if (this->dim == 1) {
C[0][0][0][0] = 105.092023;
}
this->initModel(_explicit_lumped_mass,
"material_anisotropic_" + std::to_string(this->dim) + ".dat");
const auto & coordinates = this->mesh->getNodes();
auto & displacement = this->model->getDisplacement();
// set the position of all nodes to the static solution
for (auto && tuple : zip(make_view(coordinates, this->dim),
make_view(displacement, this->dim))) {
this->setLinearDOF(std::get<1>(tuple), std::get<0>(tuple));
}
for (UInt s = 0; s < 100; ++s) {
this->model->solveStep();
}
auto ekin = this->model->getEnergy("kinetic");
EXPECT_NEAR(0, ekin, 1e-16);
auto & mat = this->model->getMaterial(0);
this->checkDOFs(displacement);
this->checkGradient(mat.getGradU(this->type), displacement);
this->result_tolerance = 1e-11;
this->checkResults(
[&](const Matrix<Real> & pstrain) {
auto strain = (pstrain + pstrain.transpose()) / 2.;
decltype(strain) stress(this->dim, this->dim);
for (UInt i = 0; i < this->dim; ++i) {
for (UInt j = 0; j < this->dim; ++j) {
stress(i, j) = 0;
for (UInt k = 0; k < this->dim; ++k) {
for (UInt l = 0; l < this->dim; ++l) {
stress(i, j) += C[i][j][k][l] * strain(k, l);
}
}
}
}
return stress;
},
mat.getStress(this->type), displacement);
}
TYPED_TEST(TestPatchTestSMMLinear, AnisotropicStatic) {
Real C[3][3][3][3] = {
{{{112.93753505, 1.85842452538e-10, -4.47654358027e-10},
{1.85847317471e-10, 54.2334345331, -3.69840984824},
{-4.4764768395e-10, -3.69840984824, 56.848605217}},
{{1.85847781609e-10, 25.429294233, -3.69840984816},
{25.429294233, 3.31613847493e-10, -8.38797920011e-11},
{-3.69840984816, -8.38804581349e-11, -1.97875715813e-10}},
{{-4.47654358027e-10, -3.69840984816, 28.044464917},
{-3.69840984816, 2.09374961813e-10, 9.4857455224e-12},
{28.044464917, 9.48308098714e-12, -2.1367885239e-10}}},
{{{1.85847781609e-10, 25.429294233, -3.69840984816},
{25.429294233, 3.31613847493e-10, -8.38793479119e-11},
{-3.69840984816, -8.38795699565e-11, -1.97876381947e-10}},
{{54.2334345331, 3.31617400207e-10, 2.09372075233e-10},
{3.3161562385e-10, 115.552705733, -3.15093728886e-10},
{2.09372075233e-10, -3.15090176173e-10, 54.2334345333}},
{{-3.69840984824, -8.38795699565e-11, 9.48219280872e-12},
{-8.38795699565e-11, -3.1509195253e-10, 25.4292942335},
{9.48441325477e-12, 25.4292942335, 3.69840984851}}},
{{{-4.47653469848e-10, -3.69840984816, 28.044464917},
{-3.69840984816, 2.09374073634e-10, 9.48752187924e-12},
{28.044464917, 9.48552347779e-12, -2.1367885239e-10}},
{{-3.69840984824, -8.3884899027e-11, 9.48219280872e-12},
{-8.3884899027e-11, -3.150972816e-10, 25.4292942335},
{9.48041645188e-12, 25.4292942335, 3.69840984851}},
{{56.848605217, -1.97875493768e-10, -2.13681516925e-10},
{-1.97877270125e-10, 54.2334345333, 3.69840984851},
{-2.13683293282e-10, 3.69840984851, 112.93753505}}}};
if (this->dim == 2) {
for (UInt i = 0; i < this->dim; ++i) {
for (UInt j = 0; j < this->dim; ++j) {
for (UInt k = 0; k < this->dim; ++k) {
for (UInt l = 0; l < this->dim; ++l) {
C[i][j][k][l] = 0;
}
}
}
}
C[0][0][0][0] = C[1][1][1][1] = 112.93753504999995;
C[0][0][1][1] = C[1][1][0][0] = 51.618263849999984;
C[0][1][0][1] = C[1][0][0][1] = C[0][1][1][0] = C[1][0][1][0] =
22.814123549999987;
}
if (this->dim == 1) {
C[0][0][0][0] = 105.092023;
}
this->initModel(_static,
"material_anisotropic_" + std::to_string(this->dim) + ".dat");
auto & solver = this->model->getNonLinearSolver();
solver.set("max_iterations", 2);
solver.set("threshold", 2e-4);
solver.set("convergence_type", SolveConvergenceCriteria::_residual);
this->model->solveStep();
auto & mat = this->model->getMaterial(0);
const auto & displacement = this->model->getDisplacement();
this->checkDOFs(displacement);
this->checkGradient(mat.getGradU(this->type), displacement);
this->result_tolerance = 1e-11;
this->checkResults(
[&](const Matrix<Real> & pstrain) {
auto strain = (pstrain + pstrain.transpose()) / 2.;
decltype(strain) stress(this->dim, this->dim);
for (UInt i = 0; i < this->dim; ++i) {
for (UInt j = 0; j < this->dim; ++j) {
stress(i, j) = 0;
for (UInt k = 0; k < this->dim; ++k) {
for (UInt l = 0; l < this->dim; ++l) {
stress(i, j) += C[i][j][k][l] * strain(k, l);
}
}
}
}
return stress;
},
mat.getStress(this->type), displacement);
}
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