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material_FE2.cc
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/**
* @file material_FE2.cc
*
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
*
* @brief Material for multi-scale simulations. It stores an
* underlying RVE on each integration point of the material.
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
*/
/* -------------------------------------------------------------------------- */
#include "material_FE2.hh"
#include "communicator.hh"
#include "solid_mechanics_model_RVE.hh"
/* -------------------------------------------------------------------------- */
namespace akantu {
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
MaterialFE2<spatial_dimension>::MaterialFE2(SolidMechanicsModel & model,
const ID & id)
: Parent(model, id), C("material_stiffness", *this) {
AKANTU_DEBUG_IN();
this->C.initialize(voigt_h::size * voigt_h::size);
this->initialize();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
MaterialFE2<spatial_dimension>::~MaterialFE2() = default;
/* -------------------------------------------------------------------------- */
template <UInt dim> void MaterialFE2<dim>::initialize() {
this->registerParam("element_type", el_type, _triangle_3,
_pat_parsable | _pat_modifiable,
"element type in RVE mesh");
this->registerParam("mesh_file", mesh_file, _pat_parsable | _pat_modifiable,
"the mesh file for the RVE");
this->registerParam("nb_gel_pockets", nb_gel_pockets,
_pat_parsable | _pat_modifiable,
"the number of gel pockets in each RVE");
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialFE2<spatial_dimension>::initMaterial() {
AKANTU_DEBUG_IN();
Parent::initMaterial();
/// create a Mesh and SolidMechanicsModel on each integration point of the
/// material
auto C_it = this->C(this->el_type).begin(voigt_h::size, voigt_h::size);
for (auto && data :
enumerate(make_view(C(this->el_type), voigt_h::size, voigt_h::size))) {
auto q = std::get<0>(data);
auto & C = std::get<1>(data);
meshes.emplace_back(std::make_unique<Mesh>(
spatial_dimension, "RVE_mesh_" + std::to_string(q), q + 1));
auto & mesh = *meshes.back();
mesh.read(mesh_file);
RVEs.emplace_back(std::make_unique<SolidMechanicsModelRVE>(
mesh, true, this->nb_gel_pockets, _all_dimensions,
"SMM_RVE_" + std::to_string(q), q + 1));
auto & RVE = *RVEs.back();
RVE.initFull(_analysis_method = _static);
/// compute intial stiffness of the RVE
RVE.homogenizeStiffness(C);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialFE2<spatial_dimension>::computeStress(ElementType el_type,
GhostType ghost_type) {
AKANTU_DEBUG_IN();
// Compute thermal stresses first
Parent::computeStress(el_type, ghost_type);
Array<Real>::const_scalar_iterator sigma_th_it =
this->sigma_th(el_type, ghost_type).begin();
// Wikipedia convention:
// 2*eps_ij (i!=j) = voigt_eps_I
// http://en.wikipedia.org/wiki/Voigt_notation
Array<Real>::const_matrix_iterator C_it =
this->C(el_type, ghost_type).begin(voigt_h::size, voigt_h::size);
// create vectors to store stress and strain in Voigt notation
// for efficient computation of stress
Vector<Real> voigt_strain(voigt_h::size);
Vector<Real> voigt_stress(voigt_h::size);
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN(el_type, ghost_type);
const Matrix<Real> & C_mat = *C_it;
const Real & sigma_th = *sigma_th_it;
/// copy strains in Voigt notation
for (UInt I = 0; I < voigt_h::size; ++I) {
/// copy stress in
Real voigt_factor = voigt_h::factors[I];
UInt i = voigt_h::vec[I][0];
UInt j = voigt_h::vec[I][1];
voigt_strain(I) = voigt_factor * (grad_u(i, j) + grad_u(j, i)) / 2.;
}
// compute stresses in Voigt notation
voigt_stress.mul<false>(C_mat, voigt_strain);
/// copy stresses back in full vectorised notation
for (UInt I = 0; I < voigt_h::size; ++I) {
UInt i = voigt_h::vec[I][0];
UInt j = voigt_h::vec[I][1];
sigma(i, j) = sigma(j, i) = voigt_stress(I) + (i == j) * sigma_th;
}
++C_it;
++sigma_th_it;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialFE2<spatial_dimension>::computeTangentModuli(
const ElementType & el_type, Array<Real> & tangent_matrix,
GhostType ghost_type) {
AKANTU_DEBUG_IN();
Array<Real>::const_matrix_iterator C_it =
this->C(el_type, ghost_type).begin(voigt_h::size, voigt_h::size);
MATERIAL_TANGENT_QUADRATURE_POINT_LOOP_BEGIN(tangent_matrix);
tangent.copy(*C_it);
++C_it;
MATERIAL_TANGENT_QUADRATURE_POINT_LOOP_END;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialFE2<spatial_dimension>::advanceASR(
const Matrix<Real> & prestrain) {
AKANTU_DEBUG_IN();
for (auto && data :
zip(RVEs, make_view(this->gradu(this->el_type), spatial_dimension,
spatial_dimension),
make_view(this->eigengradu(this->el_type), spatial_dimension,
spatial_dimension),
make_view(this->C(this->el_type), voigt_h::size, voigt_h::size),
this->delta_T(this->el_type))) {
auto & RVE = *(std::get<0>(data));
/// apply boundary conditions based on the current macroscopic displ.
/// gradient
RVE.applyBoundaryConditions(std::get<1>(data));
/// apply homogeneous temperature field to each RVE to obtain thermoelastic
/// effect
RVE.applyHomogeneousTemperature(std::get<4>(data));
/// advance the ASR in every RVE
RVE.advanceASR(prestrain);
/// compute the average eigen_grad_u
RVE.homogenizeEigenGradU(std::get<2>(data));
/// compute the new effective stiffness of the RVE
RVE.homogenizeStiffness(std::get<3>(data));
}
AKANTU_DEBUG_OUT();
}
INSTANTIATE_MATERIAL(material_FE2, MaterialFE2);
} // namespace akantu
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