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test_solid_mechanics_model_implicit_dynamic_2d.cc
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test_solid_mechanics_model_implicit_dynamic_2d.cc
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/**
* @file test_solid_mechanics_model_implicit_dynamic_2d.cc
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Wed May 11 2011
* @date last modification: Sun Oct 19 2014
*
* @brief test of the dynamic implicit code
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014, 2015 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 <fstream>
#include <limits>
/* -------------------------------------------------------------------------- */
#include "solid_mechanics_model.hh"
#include "communicator.hh"
/* -------------------------------------------------------------------------- */
using namespace akantu;
/* -------------------------------------------------------------------------- */
#define bar_length 10.
#define bar_height 1.
#define bar_depth 1.
const ElementType TYPE = _triangle_6;
// const ElementType TYPE = _tetrahedron_10;
const UInt spatial_dimension = 2;
Real time_step = 1e-4;
const Real F = 0.5e4;
const Real L = bar_length;
const Real I = bar_depth * bar_height * bar_height * bar_height / 12.;
const Real E = 12e7;
const Real rho = 1000;
const Real m = rho * bar_height * bar_depth;
static Real w(UInt n) {
return n * n * M_PI * M_PI / (L * L) * sqrt(E * I / m);
}
static Real analytical_solution(Real time) {
return 2 * F * L * L * L / (pow(M_PI, 4) * E * I) *
((1. - cos(w(1) * time)) + (1. - cos(w(3) * time)) / 81. +
(1. - cos(w(5) * time)) / 625.);
}
/* -------------------------------------------------------------------------- */
int main(int argc, char * argv[]) {
debug::setDebugLevel(dblError);
initialize("material_implicit_dynamic.dat", argc, argv);
Mesh mesh(spatial_dimension);
const auto & comm = Communicator::getStaticCommunicator();
Int prank = comm.whoAmI();
if (prank == 0) {
mesh.read("beam_2d_quad.msh");
}
mesh.distribute();
SolidMechanicsModel model(mesh);
/// model initialization
model.initFull(_analysis_method = _implicit_dynamic);
Material & mat = model.getMaterial(0);
mat.setParam("E", E);
mat.setParam("rho", rho);
// boundary conditions
const Array<Real> & position = mesh.getNodes();
Array<bool> & boundary = model.getBlockedDOFs();
Array<Real> & force = model.getForce();
Array<Real> & displacment = model.getDisplacement();
// initial conditions
UInt node_to_print = UInt(-1);
bool print_node = false;
Array<UInt> node_to_displace;
for (UInt n = 0; n < mesh.getNbNodes(); ++n) {
Real x = position(n, 0);
Real y = position(n, 1);
Real z = 0;
if (spatial_dimension == 3)
z = position(n, 2);
if (Math::are_float_equal(x, 0.) &&
Math::are_float_equal(y, bar_height / 2.)) {
boundary(n, 0) = true;
boundary(n, 1) = true;
if (spatial_dimension == 3 && Math::are_float_equal(z, bar_depth / 2.))
boundary(n, 2) = true;
}
if (Math::are_float_equal(x, bar_length) &&
Math::are_float_equal(y, bar_height / 2.)) {
boundary(n, 1) = true;
if (spatial_dimension == 3 && Math::are_float_equal(z, bar_depth / 2.))
boundary(n, 2) = true;
}
if (Math::are_float_equal(x, bar_length / 2.) &&
Math::are_float_equal(y, bar_height / 2.)) {
if (spatial_dimension < 3 || (spatial_dimension == 3 &&
Math::are_float_equal(z, bar_depth / 2.))) {
force(n, 1) = F;
if (mesh.isLocalOrMasterNode(n)) {
print_node = true;
node_to_print = n;
std::cout << "I, proc " << prank + 1 << " handle the print of node "
<< n << "(" << x << ", " << y << ", " << z << ")"
<< std::endl;
}
}
}
}
model.setTimeStep(time_step);
std::stringstream out;
out << "position-" << TYPE << "_" << std::scientific << time_step << ".csv";
model.setBaseName("implicit_dynamic");
model.addDumpField("displacement");
model.addDumpField("velocity");
model.addDumpField("acceleration");
model.addDumpField("external_force");
model.addDumpField("internal_force");
model.addDumpField("stress");
model.addDumpField("strain");
std::ofstream pos;
if (print_node) {
pos.open(out.str().c_str());
if (!pos.good()) {
std::cerr << "Cannot open file " << out.str() << std::endl;
exit(EXIT_FAILURE);
}
pos << "id,time,position,solution" << std::endl;
}
Real time = 0;
/// time loop
for (UInt s = 1; time < 0.0062; ++s) {
model.solveStep();
if (prank == 0)
std::cout << "passing step " << s << " " << s * time_step << "s\r"
<< std::flush;
if (print_node)
pos << s << "," << s * time_step << "," << displacment(node_to_print, 1)
<< "," << analytical_solution(s * time_step) << std::endl;
// if (s % 10 == 0) {
// model.computeStresses();
// }
time += time_step;
}
if (print_node)
pos.close();
finalize();
return EXIT_SUCCESS;
}

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