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test_structural_mechanics_model_bernoulli_beam_2_complicated.cc
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test_structural_mechanics_model_bernoulli_beam_2_complicated.cc

/**
* @file test_structural_mechanics_model_bernoulli_beam_2_complicated.cc
*
* @author Fabian Barras <fabian.barras@epfl.ch>
*
* @date creation: Fri Jul 15 2011
* @date last modification: Sun Oct 19 2014
*
* @brief A very complicated structure
*
* @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 <limits>
#include <fstream>
/* -------------------------------------------------------------------------- */
#include "aka_common.hh"
#include "mesh.hh"
#include "mesh_io.hh"
#include "mesh_io_msh_struct.hh"
#include "structural_mechanics_model.hh"
#include "material.hh"
/* -------------------------------------------------------------------------- */
#define TYPE _bernoulli_beam_2
using namespace akantu;
//Linear load function
static void lin_load(double * position, double * load,
__attribute__ ((unused)) Real * normal, __attribute__ ((unused)) UInt surface_id){
memset(load,0,sizeof(Real)*3);
if(position[1]>=0.-Math::getTolerance()) {
if ((position[0]<=10.)){
load[1]= -100;
} else if (position[0]<=20.){
load[1]= -70;
}
}
}
int main(int argc, char *argv[]){
initialize(argc, argv);
Mesh beams(2);
debug::setDebugLevel(dblWarning);
/* -------------------------------------------------------------------------- */
// Defining the mesh
akantu::MeshIOMSHStruct mesh_io;
mesh_io.read("complicated.msh", beams);
/* -------------------------------------------------------------------------- */
// Defining the material
const akantu::ElementType type = akantu::_bernoulli_beam_2;
akantu::StructuralMechanicsModel model(beams);
StructuralMaterial mat1;
mat1.E=3e10;
mat1.I=0.0025;
mat1.A=0.01;
model.addMaterial(mat1);
StructuralMaterial mat2 ;
mat2.E=3e10;
mat2.I=0.003125;
mat2.A=0.01;
model.addMaterial(mat2);
/* -------------------------------------------------------------------------- */
// Defining the forces
model.initFull();
UInt nb_element = beams.getNbElement(type);
for (unsigned int i = 0; i < nb_element; ++i) {
model.getElementMaterial(type)(i,0) = beams.getData<UInt>("tag_0", type)(i,0) - 1;
}
Array<Real> & forces = model.getForce();
Array<Real> & displacement = model.getDisplacement();
Array<bool> & boundary = model.getBlockedDOFs();
forces.clear();
displacement.clear();
model.computeForcesFromFunction<_bernoulli_beam_2>(lin_load, akantu::_bft_traction);
/* -------------------------------------------------------------------------- */
// Defining the boundary conditions
boundary(0,0) = true;
boundary(0,1) = true;
boundary(3,0) = true;
boundary(3,1) = true;
boundary(4,0) = true;
boundary(4,1) = true;
boundary(4,2) = true;
boundary(5,0) = true;
boundary(5,1) = true;
boundary(5,2) = true;
boundary(2,1) = true;
boundary(2,0) = true;
boundary(1,1) = true;
boundary(1,0) = true;
/* -------------------------------------------------------------------------- */
// Solve
Real error;
model.assembleStiffnessMatrix();
model.getStiffnessMatrix().saveMatrix("Kb.mtx");
UInt count = 0;
model.addDumpFieldVector("displacement");
model.addDumpField("rotation");
model.addDumpField("force");
model.addDumpField("momentum");
do {
if(count != 0) std::cerr << count << " - " << error << std::endl;
model.updateResidual();
model.solve();
count++;
} while (!model.testConvergenceIncrement(1e-10, error) && count < 10);
std::cerr << count << " - " << error << std::endl;
/* -------------------------------------------------------------------------- */
// Post-Processing
model.computeStresses();
model.getStiffnessMatrix().saveMatrix("Ka.mtx");
std::cout<< " x1 = " << displacement(1,2) << std::endl;
std::cout<< " x2 = " << displacement(2,2) << std::endl;
model.dump();
}

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