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cohesive_extrinsic_ig_tg.cc
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cohesive_extrinsic_ig_tg.cc
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/**
* @file cohesive_extrinsic_ig_tg.cc
*
* @author Seyedeh Mohadeseh Taheri Mousavi <mohadeseh.taherimousavi@epfl.ch>
* @author Marco Vocialta <marco.vocialta@epfl.ch>
*
* @date creation: Mon Jan 18 2016
*
* @brief Test for considering different cohesive properties for intergranular
* (IG) and
* transgranular (TG) fractures in extrinsic cohesive elements
*
* @section LICENSE
*
* Copyright (©) 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 "solid_mechanics_model_cohesive.hh"
/* -------------------------------------------------------------------------- */
#include <iostream>
/* -------------------------------------------------------------------------- */
using namespace akantu;
class MultiGrainMaterialSelector : public DefaultMaterialCohesiveSelector {
public:
MultiGrainMaterialSelector(const SolidMechanicsModelCohesive & model,
const ID & transgranular_id,
const ID & intergranular_id)
: DefaultMaterialCohesiveSelector(model),
transgranular_id(transgranular_id), intergranular_id(intergranular_id),
model(model), mesh(model.getMesh()), mesh_facets(model.getMeshFacets()),
spatial_dimension(model.getSpatialDimension()), nb_IG(0), nb_TG(0) {}
UInt operator()(const Element & element) {
if (mesh_facets.getSpatialDimension(element.type) ==
(spatial_dimension - 1)) {
const std::vector<Element> & element_to_subelement =
mesh_facets.getElementToSubelement(element.type, element.ghost_type)(
element.element);
const Element & el1 = element_to_subelement[0];
const Element & el2 = element_to_subelement[1];
UInt grain_id1 =
mesh.getData<UInt>("tag_0", el1.type, el1.ghost_type)(el1.element);
if (el2 != ElementNull) {
UInt grain_id2 =
mesh.getData<UInt>("tag_0", el2.type, el2.ghost_type)(el2.element);
if (grain_id1 == grain_id2) {
// transgranular = 0 indicator
nb_TG++;
return model.getMaterialIndex(transgranular_id);
} else {
// intergranular = 1 indicator
nb_IG++;
return model.getMaterialIndex(intergranular_id);
}
} else {
// transgranular = 0 indicator
nb_TG++;
return model.getMaterialIndex(transgranular_id);
}
} else {
return DefaultMaterialCohesiveSelector::operator()(element);
}
}
private:
ID transgranular_id, intergranular_id;
const SolidMechanicsModelCohesive & model;
const Mesh & mesh;
const Mesh & mesh_facets;
UInt spatial_dimension;
UInt nb_IG;
UInt nb_TG;
};
/* -------------------------------------------------------------------------- */
int main(int argc, char * argv[]) {
initialize("material.dat", argc, argv);
const UInt spatial_dimension = 2;
const UInt max_steps = 1000;
Mesh mesh(spatial_dimension);
mesh.read("square.msh");
SolidMechanicsModelCohesive model(mesh);
/// model initialization
auto material_selector = std::make_shared<MultiGrainMaterialSelector>(
model, "tg_cohesive", "ig_cohesive");
model.setMaterialSelector(material_selector);
model.initFull(_analysis_method = _explicit_lumped_mass,
_is_extrinsic = true);
Real time_step = model.getStableTimeStep() * 0.05;
model.setTimeStep(time_step);
std::cout << "Time step: " << time_step << std::endl;
model.assembleMassLumped();
Array<Real> & position = mesh.getNodes();
Array<Real> & velocity = model.getVelocity();
Array<bool> & boundary = model.getBlockedDOFs();
Array<Real> & displacement = model.getDisplacement();
UInt nb_nodes = mesh.getNbNodes();
/// boundary conditions
for (UInt n = 0; n < nb_nodes; ++n) {
if (position(n, 1) > 0.99 || position(n, 1) < -0.99)
boundary(n, 1) = true;
if (position(n, 0) > 0.99 || position(n, 0) < -0.99)
boundary(n, 0) = true;
}
model.setBaseName("extrinsic");
model.addDumpFieldVector("displacement");
model.addDumpField("velocity");
model.addDumpField("acceleration");
model.addDumpField("internal_force");
model.addDumpField("stress");
model.addDumpField("grad_u");
model.dump();
/// initial conditions
Real loading_rate = 0.1;
// bar_height = 2
Real VI = loading_rate * 2 * 0.5;
for (UInt n = 0; n < nb_nodes; ++n) {
velocity(n, 1) = loading_rate * position(n, 1);
velocity(n, 0) = loading_rate * position(n, 0);
}
model.dump();
Real dispy = 0;
/// Main loop
for (UInt s = 1; s <= max_steps; ++s) {
dispy += VI * time_step;
/// update displacement on extreme nodes
for (UInt n = 0; n < mesh.getNbNodes(); ++n) {
if (position(n, 1) > 0.99) {
displacement(n, 1) = dispy;
velocity(n, 1) = VI;
}
if (position(n, 1) < -0.99) {
displacement(n, 1) = -dispy;
velocity(n, 1) = -VI;
}
if (position(n, 0) > 0.99) {
displacement(n, 0) = dispy;
velocity(n, 0) = VI;
}
if (position(n, 0) < -0.99) {
displacement(n, 0) = -dispy;
velocity(n, 0) = -VI;
}
}
model.checkCohesiveStress();
model.solveStep();
if (s % 10 == 0) {
model.dump();
std::cout << "passing step " << s << "/" << max_steps << std::endl;
}
}
finalize();
return EXIT_SUCCESS;
}

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