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test_structural_mechanics_model_kirchhoff_shell_patch_test_4_5_5.cc
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rAKA akantu
test_structural_mechanics_model_kirchhoff_shell_patch_test_4_5_5.cc
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/**
* @file test_structural_mechanics_model_kirchhoff_shell_patch_test_4_5_5.cc
*
* @author Damien Spielmann <damien.spielmann@epfl.ch>
*
* @date creation: Thu Feb 21 2013
* @date last modification: Sun Oct 19 2014
*
* @brief patch test exemple 4.5.5 c.f. modelisation des structures par éléments finis J.-L. Batoz/G Dhatt
*
* @section LICENSE
*
* Copyright (©) 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.hh"
#include "structural_mechanics_model.hh"
#include "material.hh"
/* -------------------------------------------------------------------------- */
#define TYPE _kirchhoff_shell
using namespace akantu;
int main(int argc, char *argv[]){
initialize(argc, argv);
Mesh shell(3);
debug::setDebugLevel(dblWarning);
std::cout<<"Initialisation"<<std::endl;
/* -------------------------------------------------------------------------- */
// Defining the mesh
UInt nb_nodes=5;
UInt nb_element=4;
Array<Real> & nodes = const_cast<Array<Real> &>(shell.getNodes());
nodes.resize(nb_nodes);
Real a=20.;
Real b=10.;
nodes(0,0)=0.;
nodes(0,1)=0.;
nodes(0,2)=0.;
nodes(1,0)=2*a;
nodes(1,1)=0.;
nodes(1,2)=0.;
nodes(2,0)=0.;
nodes(2,1)=2*b;
nodes(2,2)=0.;
nodes(3,0)=2*a;
nodes(3,1)=2*b;
nodes(3,2)=0.;
nodes(4,0)=15.;
nodes(4,1)=15.;
nodes(4,2)=0.;
shell.addConnectivityType(TYPE);
Array<UInt> & connectivity = const_cast<Array<UInt> &>(shell.getConnectivity(TYPE));
connectivity.resize(nb_element);
connectivity(0,0)=1;
connectivity(0,1)=3;
connectivity(0,2)=4;
connectivity(1,0)=3;
connectivity(1,1)=2;
connectivity(1,2)=4;
connectivity(2,0)=2;
connectivity(2,1)=4;
connectivity(2,2)=0;
connectivity(3,0)=0;
connectivity(3,1)=1;
connectivity(3,2)=4;
akantu::MeshIOMSH mesh_io;
mesh_io.write("b_beam_3_12_10_13.msh", shell);
std::cout<<"Mesh definition"<<std::endl;
/* -------------------------------------------------------------------------- */
// Defining the materials
akantu::StructuralMechanicsModel model(shell); // ä döfinir
StructuralMaterial mat1;
mat1.E=1000;
mat1.nu=0.3;
mat1.t=1;
model.addMaterial(mat1);
std::cout<<"Material Definition"<<std::endl;
/* -------------------------------------------------------------------------- */
// Defining the deplacement
model.initFull();
// Array<Real> & forces = model.getForce();
Array<Real> & displacement = model.getDisplacement();
Array<bool> & boundary = model.getBlockedDOFs();
displacement(0,0)=0;
displacement(0,1)=0;
displacement(0,2)=0;
displacement(0,3)=0;
displacement(0,4)=0;
displacement(1,0)=0;
displacement(1,1)=0;
displacement(1,2)=-800;
displacement(1,3)=-40;
displacement(1,4)=-20;
displacement(2,0)=0;
displacement(2,1)=0;
displacement(2,2)=-200;
displacement(2,3)=-10;
displacement(2,4)=-20;
displacement(3,0)=0;
displacement(3,1)=0;
displacement(3,2)=-1400;
displacement(3,3)=-50;
displacement(3,4)=-40;
/*displacement(4,0)=0;
displacement(4,1)=0;*/
/* displacement(4,2)=;
displacement(4,3)=;
displacement(4,4)=;*/
/* -------------------------------------------------------------------------- */
// Defining the boundary conditions
boundary(0,0) = true;
boundary(0,1) = true;
boundary(0,2) = true;
boundary(0,3) = true;
boundary(0,4) = true;
boundary(0,5) = true;
boundary(1,0) = true;
boundary(1,1) = true;
boundary(1,2) = true;
boundary(1,3) = true;
boundary(1,4) = true;
boundary(1,5) = true;
boundary(2,0) = true;
boundary(2,1) = true;
boundary(2,2) = true;
boundary(2,3) = true;
boundary(2,4) = true;
boundary(2,5) = true;
boundary(3,0) = true;
boundary(3,1) = true;
boundary(3,2) = true;
boundary(3,3) = true;
boundary(3,4) = true;
boundary(3,5) = true;
// boundary(4,0) = true;
// boundary(4,1) = true;
// boundary(4,2) = true;
// boundary(4,3) = true;
// boundary(4,4) = true;
boundary(4,5) = true;
std::cout<<"BC Definition"<<std::endl;
/* -------------------------------------------------------------------------- */
// Solve
Real error;
model.assembleStiffnessMatrix();
std::cout<<"Assemble Done"<<std::endl;
model.getStiffnessMatrix().saveMatrix("K_4_5_5.mtx");
UInt count = 0;
std::cout<<"Matrix saved"<<std::endl;
model.addDumpField("displacement");
model.addDumpField("rotation");
model.addDumpField("force");
model.addDumpField("momentum");
do {
model.updateResidual();
model.solve();
count++;
} while (!model.testConvergenceIncrement(1e-10, error) && count < 10);
/* -------------------------------------------------------------------------- */
// Post-Processing
model.computeStresses();
//const SparseMatrix = model.getStiffnessMatrix();
std::cout<< "u = " << displacement(4,0) << std::endl;
std::cout<< "v = " << displacement(4,1) << std::endl;
std::cout<< "w5 = " << displacement(4,2) << std::endl;
std::cout<< "betax = " << displacement(4,3) << std::endl;
std::cout<< "betay = " << displacement(4,4) << std::endl;
std::cout<< "betaz = " << displacement(4,5) << std::endl;
//model.dump();
}
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