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rAKA/examples/implicit/implicit_dynamic.cc
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implicit_dynamic.cc
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/**
* @file implicit_dynamic.cc
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Feb 24 2012
* @date last modification: Thu Jun 05 2014
*
* @brief This code refers to the implicit dynamic example from the user manual
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014 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 <iostream>
using namespace akantu;
/* -------------------------------------------------------------------------- */
const Real bar_length = 10.;
const Real bar_height = 1.;
const Real bar_depth = 1.;
const Real F = 5e3;
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.);
}
const UInt spatial_dimension = 2;
const Real time_step = 1e-4;
const Real max_time = 0.62;
/* -------------------------------------------------------------------------- */
int main(int argc, char *argv[]) {
initialize("material_dynamic.dat", argc, argv);
Mesh mesh(spatial_dimension);
StaticCommunicator & comm = StaticCommunicator::getStaticCommunicator();
Int psize = comm.getNbProc();
Int prank = comm.whoAmI();
MeshPartition * partition = NULL;
if(prank == 0) {
mesh.read("beam.msh");
partition = new MeshPartitionScotch(mesh, spatial_dimension);
partition->partitionate(psize);
}
SolidMechanicsModel model(mesh);
model.initParallel(partition);
mesh.createGroupsFromMeshData<std::string>("physical_names");
/// model initialization
model.initFull(SolidMechanicsModelOptions(_implicit_dynamic));
Material &mat = model.getMaterial(0);
mat.setParam("E", E);
mat.setParam("rho", rho);
model.getMassMatrix().saveMatrix("M.mtx");
Array<Real> & force = model.getForce();
Array<Real> & displacment = model.getDisplacement();
// boundary conditions
model.applyBC(BC::Dirichlet::FixedValue(0.0, _x), "blocked");
model.applyBC(BC::Dirichlet::FixedValue(0.0, _y), "blocked");
model.applyBC(BC::Dirichlet::FixedValue(0.0, _y), "roller");
const Array<UInt> & trac_nodes = mesh.getElementGroup("traction").getNodes();
bool dump_node = false;
if(trac_nodes.getSize() > 0 && mesh.isLocalOrMasterNode(trac_nodes(0))) {
force(trac_nodes(0), 1) = F;
dump_node = true;
}
// output setup
std::ofstream pos;
pos.open("position.csv");
if(!pos.good()) AKANTU_DEBUG_ERROR("Cannot open file \"position.csv\"");
pos << "id,time,position,solution" << std::endl;
model.setBaseName("dynamic");
model.addDumpFieldVector("displacement");
model.addDumpField("velocity" );
model.addDumpField("acceleration");
model.addDumpField("force" );
model.addDumpField("residual" );
model.dump();
model.setTimeStep(time_step);
/// time loop
Real time = 0.;
for (UInt s = 1; time < max_time; ++s, time += time_step) {
if(prank == 0)
std::cout << s << "\r" << std::flush;
model.solveStep<_scm_newton_raphson_tangent_modified, _scc_increment>(1e-12, 100);
if(dump_node)
pos << s << ","
<< time << ","
<< displacment(trac_nodes(0), 1) << ","
<< analytical_solution(s*time_step) << std::endl;
if(s % 100 == 0)
model.dump();
}
std::cout << std::endl;
pos.close();
finalize();
return EXIT_SUCCESS;
}
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