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rAKA/extra_packages/igfem/test/test_solid_mechanics_model_igfem/test_material_igfem_iterative_stiffness_reduction_tangent_transfer.cc
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test_material_igfem_iterative_stiffness_reduction_tangent_transfer.cc
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/**
* @file test_material_igfem_iterative_stiffness_reduction_tangent_transfer.cc
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
* @date Thu Nov 26 12:20:15 2015
*
* @brief test the tangent transfer for the material iterative
* stiffness reduction
*
* @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 "material_igfem_saw_tooth_damage.hh"
#include "material_iterative_stiffness_reduction.hh"
#include "solid_mechanics_model_igfem.hh"
/* -------------------------------------------------------------------------- */
using namespace akantu;
class TestMaterialSelector : public MaterialSelector {
public:
TestMaterialSelector(SolidMechanicsModelIGFEM & model)
: MaterialSelector(), model(model),
spatial_dimension(model.getSpatialDimension()) {}
UInt operator()(const Element & element) {
if (Mesh::getKind(element.type) == _ek_igfem)
return 2;
else {
/// regular elements
const Mesh & mesh = model.getMesh();
Vector<Real> barycenter(this->spatial_dimension);
mesh.getBarycenter(element, barycenter);
/// check if element belongs to ASR gel
if (model.isInside(barycenter))
return 1;
}
return 0;
}
protected:
SolidMechanicsModelIGFEM & model;
UInt spatial_dimension;
};
/* -------------------------------------------------------------------------- */
/* Main */
/* -------------------------------------------------------------------------- */
int main(int argc, char * argv[]) {
Math::setTolerance(1e-13);
debug::setDebugLevel(dblWarning);
initialize("material_stiffness_reduction_2.dat", argc, argv);
const UInt spatial_dimension = 2;
StaticCommunicator & comm =
akantu::StaticCommunicator::getStaticCommunicator();
Int psize = comm.getNbProc();
Int prank = comm.whoAmI();
/// read the mesh and partion it
Mesh mesh(spatial_dimension);
akantu::MeshPartition * partition = NULL;
if (prank == 0) {
mesh.read("test_damage_transfer.msh");
/// partition the mesh
partition = new MeshPartitionScotch(mesh, spatial_dimension);
partition->partitionate(psize);
}
/// model creation
SolidMechanicsModelIGFEM model(mesh);
model.initParallel(partition);
delete partition;
Math::setTolerance(1.e-14);
/// intialize the geometry and set the material selector
std::list<SK::Sphere_3> inclusions_list;
model.registerGeometryObject(inclusions_list, "inclusion");
Real val = 1000000000;
Real radius_squared = (val - 0.6) * (val - 0.6);
Vector<Real> center(spatial_dimension);
center(0) = 0;
center(1) = val;
SK::Sphere_3 sphere(SK::Point_3(center(0), center(1), 0.), radius_squared);
inclusions_list.push_back(sphere);
TestMaterialSelector * mat_selector = new TestMaterialSelector(model);
model.setMaterialSelector(*mat_selector);
/// initialization of the model
model.initFull();
/// boundary conditions
mesh.computeBoundingBox();
const Vector<Real> & lowerBounds = mesh.getLowerBounds();
const Vector<Real> & upperBounds = mesh.getUpperBounds();
Real bottom = lowerBounds(1);
Real top = upperBounds(1);
Real left = lowerBounds(0);
Real eps = std::abs((top - bottom) * 1e-6);
const Array<Real> & pos = mesh.getNodes();
Array<bool> & boun = model.getBlockedDOFs();
Array<Real> & disp = model.getDisplacement();
for (UInt n = 0; n < mesh.getNbNodes(); ++n) {
if (std::abs(pos(n, 1) - bottom) < eps) {
boun(n, 1) = true;
disp(n, 1) = 0.;
}
if (std::abs(pos(n, 1) - top) < eps) {
boun(n, 1) = true;
disp(n, 1) = 1.e-3;
}
if (std::abs(pos(n, 0) - left) < eps) {
boun(n, 0) = true;
disp(n, 0) = 0.;
}
}
/// add fields that should be dumped
model.setBaseName("regular");
model.addDumpField("material_index");
model.addDumpFieldVector("displacement");
;
model.addDumpField("stress");
model.addDumpField("blocked_dofs");
model.addDumpField("residual");
model.addDumpField("grad_u");
model.addDumpField("damage");
model.addDumpField("partitions");
model.addDumpField("Sc");
model.addDumpField("force");
model.addDumpField("equivalent_stress");
model.addDumpField("ultimate_strain");
model.setBaseNameToDumper("igfem elements", "igfem elements");
model.addDumpFieldToDumper("igfem elements", "material_index");
model.addDumpFieldVectorToDumper("igfem elements", "displacement");
;
model.addDumpFieldToDumper("igfem elements", "stress");
model.addDumpFieldToDumper("igfem elements", "blocked_dofs");
model.addDumpFieldToDumper("igfem elements", "residual");
model.addDumpFieldToDumper("igfem elements", "grad_u");
model.addDumpFieldToDumper("igfem elements", "damage");
model.addDumpFieldToDumper("igfem elements", "partitions");
model.addDumpFieldToDumper("igfem elements", "Sc");
model.addDumpFieldToDumper("igfem elements", "force");
model.addDumpFieldToDumper("igfem elements", "equivalent_stress");
model.addDumpFieldToDumper("igfem elements", "ultimate_strain");
model.dump();
model.dump("igfem elements");
/// get a reference to the damage materials
MaterialIterativeStiffnessReduction<spatial_dimension> & material =
dynamic_cast<MaterialIterativeStiffnessReduction<spatial_dimension> &>(
model.getMaterial(0));
MaterialIGFEMSawToothDamage<spatial_dimension> & igfem_material =
dynamic_cast<MaterialIGFEMSawToothDamage<spatial_dimension> &>(
model.getMaterial(2));
/// check that the tangent of the softening law has been computed correctly
const Array<Real> & Sc =
material.getInternal<Real>("Sc")(_triangle_3, _not_ghost);
Array<Real>::const_scalar_iterator Sc_it = Sc.begin();
const Array<Real> & D =
material.getInternal<Real>("tangent")(_triangle_3, _not_ghost);
Array<Real>::const_scalar_iterator D_it = D.begin();
Real E = material.getParam<Real>("E");
Real Gf = 20.;
Real ultimate_strain = 0;
Real crack_band_width = 0.25;
Real D_exact = 0.;
Math::setTolerance(1.e-13);
for (UInt i = 0; i < Sc.getSize(); ++i, ++Sc_it, ++D_it) {
ultimate_strain = 2. * Gf / (*Sc_it * crack_band_width);
D_exact = *Sc_it / (ultimate_strain - (*Sc_it / E));
if (!Math::are_float_equal(*D_it, D_exact)) {
std::cout << "error in the tangent or ultimate strain" << std::endl;
finalize();
return EXIT_FAILURE;
}
}
/// regular elements are linear triganle elements -> only one integration
/// point
const Array<Real> & eps_u =
material.getInternal<Real>("ultimate_strain")(_triangle_3, _not_ghost);
Real D_el_27 = D(27);
Real D_el_19 = D(19);
Real epsu_el_27 = eps_u(27);
Real epsu_el_19 = eps_u(19);
/// create the interface
Real new_radius = (val - 0.1);
model.moveInterface(new_radius);
model.dump();
model.dump("igfem elements");
/// check that the damage reduction step has been correctly computed
/// regular element id -> igfem element id
/// 27 -> 7; 19 -> 5
const Array<Real> & epsu_igfem = igfem_material.getInternal<Real>(
"ultimate_strain")(_igfem_triangle_5, _not_ghost);
Array<Real>::const_scalar_iterator epsu_igfem_it = epsu_igfem.begin();
const Array<Real> & D_igfem = igfem_material.getInternal<Real>("tangent")(
_igfem_triangle_5, _not_ghost);
Array<Real>::const_scalar_iterator D_igfem_it = D_igfem.begin();
/// check the igfem elements
UInt nb_igfem_elements = mesh.getNbElement(_igfem_triangle_5, _not_ghost);
UInt nb_quads = model.getFEEngine("IGFEMFEEngine")
.getNbIntegrationPoints(_igfem_triangle_5, _not_ghost);
const Array<UInt> & sub_material = igfem_material.getInternal<UInt>(
"sub_material")(_igfem_triangle_5, _not_ghost);
Array<UInt>::const_scalar_iterator sub_it = sub_material.begin();
for (UInt e = 0; e < nb_igfem_elements; ++e) {
for (UInt q = 0; q < nb_quads;
++q, ++sub_it, ++D_igfem_it, ++epsu_igfem_it) {
if (!*sub_it) {
if (!Math::are_float_equal(*epsu_igfem_it, 0.) ||
!Math::are_float_equal(*D_igfem_it, 0.)) {
std::cout << "the tangent and ultimate strain of a sub-element must "
"be zero!!"
<< std::endl;
finalize();
return EXIT_FAILURE;
}
} else {
if (e == 7) {
if (!Math::are_float_equal(*epsu_igfem_it, epsu_el_27) ||
!Math::are_float_equal(*D_igfem_it, D_el_27)) {
std::cout << "error in tangent or ultimate strain!!" << std::endl;
finalize();
return EXIT_FAILURE;
}
} else if (e == 5) {
if (!Math::are_float_equal(*epsu_igfem_it, epsu_el_19) ||
!Math::are_float_equal(*D_igfem_it, D_el_19)) {
std::cout << "error in tangent or ultimate strain!!" << std::endl;
finalize();
return EXIT_FAILURE;
}
}
}
}
}
finalize();
return EXIT_SUCCESS;
}
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