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test_structural_mechanics_model_bernoulli_beam_2_exemple_1_1.cc
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Mon, Jul 1, 09:10
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rAKA akantu
test_structural_mechanics_model_bernoulli_beam_2_exemple_1_1.cc
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/**
* @file test_structural_mechanics_model_bernoulli_beam_2_exemple_1_1.cc
* @author Fabian Barras <fabian.barras@epfl.ch>
* @date Tue May 31 19:10:26 2011
*
* @brief Computation of the analytical exemple 1.1 in the TGC vol 6
*
* @section LICENSE
*
* Copyright (©) 2010-2011 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.hh"
#include "structural_mechanics_model.hh"
#include "material.hh"
/* -------------------------------------------------------------------------- */
#define TYPE _bernoulli_beam_2
using namespace akantu;
#ifdef AKANTU_USE_IOHELPER
# include "io_helper.hh"
static void paraviewInit(iohelper::Dumper & dumper, const StructuralMechanicsModel & model);
static void paraviewDump(iohelper::Dumper & dumper);
#endif
//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[0]<=10){
load[1]= -6000;
}
}
int main(int argc, char *argv[]){
initialize(argc, argv);
Mesh beams(2);
debug::setDebugLevel(dblWarning);
/* -------------------------------------------------------------------------- */
// Defining the mesh
UInt nb_nodes=401;
UInt nb_nodes_1=200;
UInt nb_nodes_2=nb_nodes-nb_nodes_1 - 1;
UInt nb_element=nb_nodes-1;
Vector<Real> & nodes = const_cast<Vector<Real> &>(beams.getNodes());
nodes.resize(nb_nodes);
beams.addConnectivityType(_bernoulli_beam_2);
Vector<UInt> & connectivity = const_cast<Vector<UInt> &>(beams.getConnectivity(_bernoulli_beam_2));
connectivity.resize(nb_element);
for(UInt i=0; i<nb_nodes; ++i) {
nodes(i,1)=0;
}
for (UInt i = 0; i < nb_nodes_1; ++i) {
nodes(i,0)=10.*i/((Real)nb_nodes_1);
}
nodes(nb_nodes_1,0)=10;
for (UInt i = 0; i < nb_nodes_2; ++i) {
nodes(nb_nodes_1 + i + 1,0)=10+ 8.*(i+1)/((Real)nb_nodes_2);
}
for(UInt i=0; i<nb_element; ++i) {
connectivity(i,0)=i;
connectivity(i,1)=i+1;
}
akantu::MeshIOMSH mesh_io;
mesh_io.write("b_beam_2.msh", beams);
/* -------------------------------------------------------------------------- */
// Defining the materials
// akantu::ElementType type = akantu::_bernoulli_beam_2;
akantu::StructuralMechanicsModel * model;
model = new akantu::StructuralMechanicsModel(beams);
StructuralMaterial mat1;
mat1.E=3e10;
mat1.I=0.0025;
mat1.A=0.01;
model->addMaterial(mat1);
StructuralMaterial mat2 ;
mat2.E=3e10;
mat2.I=0.00128;
mat2.A=0.01;
model->addMaterial(mat2);
/* -------------------------------------------------------------------------- */
// Defining the forces
model->initModel();
model->initVectors();
const Real M = -3600; // Momentum at 3
Vector<Real> & forces = model->getForce();
Vector<Real> & displacement = model->getDisplacement();
Vector<bool> & boundary = model->getBoundary();
const Vector<Real> & N_M = model->getStress(_bernoulli_beam_2);
Vector<UInt> & element_material = model->getElementMaterial(_bernoulli_beam_2);
forces.clear();
displacement.clear();
for (UInt i = 0; i < nb_nodes_2; ++i) {
element_material(i+nb_nodes_1)=1;
}
forces(nb_nodes-1,2) += M;
model->computeForcesFromFunction(lin_load, akantu::_bft_traction);
/* -------------------------------------------------------------------------- */
// Defining the boundary conditions
boundary(0,0) = true;
boundary(0,1) = true;
boundary(0,2) = true;
boundary(nb_nodes_1,1) = true;
boundary(nb_nodes-1,1) = true;
/* -------------------------------------------------------------------------- */
// Solve
model->initImplicitSolver();
Real error;
model->assembleStiffnessMatrix();
model->getStiffnessMatrix().saveMatrix("Kb.mtx");
UInt count = 0;
#ifdef AKANTU_USE_IOHELPER
iohelper::DumperParaview dumper;
paraviewInit(dumper, *model);
#endif
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->computeStressOnQuad();
model->getStiffnessMatrix().saveMatrix("Ka.mtx");
std::cout<< " d1 = " << displacement(nb_nodes_1,2) << std::endl;
std::cout<< " d2 = " << displacement(nb_nodes-1,2) << std::endl;
std::cout<< " M1 = " << N_M(0,1) << std::endl;
std::cout<< " M2 = " << N_M(2*(nb_nodes-2),1) << std::endl;
#ifdef AKANTU_USE_IOHELPER
paraviewDump(dumper);
#endif
}
/* -------------------------------------------------------------------------- */
/* iohelper::Dumper vars */
/* -------------------------------------------------------------------------- */
#ifdef AKANTU_USE_IOHELPER
/* -------------------------------------------------------------------------- */
template <ElementType type> static iohelper::ElemType paraviewType();
template <> static iohelper::ElemType paraviewType<_segment_2>() { return iohelper::LINE1; }
template <> static iohelper::ElemType paraviewType<_segment_3>() { return iohelper::LINE2; }
template <> static iohelper::ElemType paraviewType<_triangle_3>() { return iohelper::TRIANGLE1; }
template <> static iohelper::ElemType paraviewType<_triangle_6>() { return iohelper::TRIANGLE2; }
template <> static iohelper::ElemType paraviewType<_quadrangle_4>() { return iohelper::QUAD1; }
template <> static iohelper::ElemType paraviewType<_tetrahedron_4>() { return iohelper::TETRA1; }
template <> static iohelper::ElemType paraviewType<_tetrahedron_10>() { return iohelper::TETRA2; }
template <> static iohelper::ElemType paraviewType<_hexahedron_8>() { return iohelper::HEX1; }
template <> static iohelper::ElemType paraviewType<_bernoulli_beam_2>(){ return iohelper::BEAM2; }
/* -------------------------------------------------------------------------- */
void paraviewInit(iohelper::Dumper & dumper, const StructuralMechanicsModel & model) {
UInt spatial_dimension = ElementClass<TYPE>::getSpatialDimension();
UInt nb_nodes = model.getFEM().getMesh().getNbNodes();
UInt nb_element = model.getFEM().getMesh().getNbElement(TYPE);
std::stringstream filename; filename << "beam";
dumper.SetMode(iohelper::TEXT);
dumper.SetPoints(model.getFEM().getMesh().getNodes().values,
spatial_dimension, nb_nodes, filename.str().c_str());
dumper.SetConnectivity((int *)model.getFEM().getMesh().getConnectivity(TYPE).values,
paraviewType<TYPE>(), nb_element, iohelper::C_MODE);
dumper.AddNodeDataField(model.getDisplacement().values,
3, "displacements");
dumper.AddNodeDataField(model.getForce().values,
3, "applied_force");
dumper.AddElemDataField(model.getStress(_bernoulli_beam_2).values,
2, "stress");
dumper.SetPrefix("paraview/");
dumper.Init();
dumper.Dump();
}
/* -------------------------------------------------------------------------- */
void paraviewDump(iohelper::Dumper & dumper) {
dumper.Dump();
}
/* -------------------------------------------------------------------------- */
#endif
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