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test_fe_engine_precomputation_bernoulli_3.cc
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/**
* @file test_fe_engine_precomputation_bernoulli_3.cc
*
* @author Lucas Frerot <lucas.frerot@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Wed Jan 24 2018
* @date last modification: Wed Sep 12 2018
*
* @brief test of the fem class
*
*
* @section LICENSE
*
* Copyright (©) 2016-2021 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 "fe_engine.hh"
#include "integrator_gauss.hh"
#include "shape_structural.hh"
/* -------------------------------------------------------------------------- */
#include <cmath>
#include <functional>
#include <iostream>
/* -------------------------------------------------------------------------- */
using namespace akantu;
/**
* Reference: p. 285, example 5.7 - A First Course in the Finite Elements Method
* Logan, 6th Edition, 2016
* ISBN-13: 978-1-305-63734-4
*/
Matrix<Real> rotationReference() {
return {{3. / 13, 4. / 13, 12. / 13},
{-4. / 5, 3. / 5, 0},
{-36. / 65, -48. / 65, 5. / 13}};
}
int main(int argc, char * argv[]) {
akantu::initialize(argc, argv);
// debug::setDebugLevel(dblTest);
constexpr ElementType type = _bernoulli_beam_3;
UInt dim = ElementClass<type>::getSpatialDimension();
Mesh mesh(dim);
// Pushing nodes
Vector<Real> node = {0, 0, 0};
mesh.getNodes().push_back(node);
node = {3, 4, 12};
mesh.getNodes().push_back(node);
// Pushing connectivity
mesh.addConnectivityType(type);
auto & connectivity = mesh.getConnectivity(type);
Vector<UInt> elem = {0, 1};
connectivity.push_back(elem);
// Pushing normals
auto & normals = mesh.registerElementalData<Real>("extra_normal")
.alloc(0, dim, type, _not_ghost);
Vector<Real> normal = {-36. / 65, -48. / 65, 5. / 13};
normals.push_back(normal);
normals.push_back(normal);
using FE = FEEngineTemplate<IntegratorGauss, ShapeStructural, _ek_structural>;
using ShapeStruct = ShapeStructural<_ek_structural>;
auto fem = std::make_unique<FE>(mesh, dim, "test_fem");
fem->initShapeFunctions();
auto & shape = dynamic_cast<const ShapeStruct &>(fem->getShapeFunctions());
Matrix<Real> rot_ref = rotationReference();
Matrix<Real> solution(6, 6);
solution.block(rot_ref, 0, 0);
solution.block(rot_ref, 3, 3);
for (auto && rot : make_view(shape.getRotations(type), 6, 6)) {
if (!Math::are_vector_equal(6 * 6, solution.storage(), rot.storage()))
return 1;
}
/// TODO check shape functions and shape derivatives
finalize();
return 0;
}
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