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material_crystal_plasticity_finite.cc
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material_crystal_plasticity_finite.cc
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/**
* @file material_crystal_plasticity_finite.cc
*
* @author Till Junge <till.junge@altermail.ch>
* @author Francesco Maresca <francesco.maresca@epfl.ch>
*
* @date 23 Feb 2018
*
* @brief finite strain crystal plasticity implementation
*
* Copyright © 2018 Till Junge, Francesco Maresca
*
* µSpectre is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License as
* published by the Free Software Foundation, either version 3, or (at
* your option) any later version.
*
* µSpectre 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
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with GNU Emacs; see the file COPYING. If not, write to the
* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
* Boston, MA 02111-1307, USA.
*/
#include "materials/material_crystal_plasticity_finite.hh"
#include "common/iterators.hh"
namespace muSpectre {
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM, Int NbSlip>
MaterialCrystalPlasticityFinite<DimS, DimM, NbSlip>::
MaterialCrystalPlasticityFinite(std::string name, Real bulk_m, Real shear_m, Real gamma_dot0, Real m_par, Real tau_y0, Real h0, Real delta_tau_y_max, Real a_par, Real q_n, SlipVecs_ref Slip0, SlipVecs_ref Normal0, Real delta_t, Real tolerance, Int maxiter)
: Parent{name},
FpField("Plastic Deformation Gradient Fₚ(t)",this->internal_fields),
GammaDotField("Plastic slip rates dγᵅ/dt",this->internal_fields),
TauYField("Critical resolved shear stress τᵅy(t)",this->internal_fields),
GammaField{
make_field<MatrixField<LColl_t, Real, NbSlip, 1>>
("Accumulated slips γᵅ(t)",this->internal_fields)},
EulerField{
make_field<MatrixField<LColl_t, Real, NbEuler, 1>>
("Euler angles", this->internal_fields)},
bulk_m{bulk_m}, shear_m{shear_m}, gamma_dot0{gamma_dot0}, m_par{m_par},
tau_y0{tau_y0}, h0{h0}, tau_infty{tau_y0+delta_tau_y_max}, a_par{a_par}, q_n{q_n},
delta_t{delta_t}, tolerance{tolerance}, maxiter{maxiter}, Slip0{Slip0},
Normal0{Normal0},
internal_variables{FpField.get_map(),
GammaDotField.get_map(),
TauYField.get_map(),
ArrayFieldMap<LColl_t, Real, NbEuler, 1, true>(EulerField)}
{
// Enforce n₀ and s₀ to be unit vectors!
auto lambda{MatTB::convert_elastic_modulus<ElasticModulus::lambda,
ElasticModulus::Bulk,
ElasticModulus::Shear>(bulk_m,shear_m)};
this->C_el=Hooke::compute_C_T4(lambda,shear_m);
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM, Int NbSlip>
void MaterialCrystalPlasticityFinite<DimS, DimM, NbSlip>::
add_pixel(const Ccoord_t<DimS> & /*pixel*/) {
throw std::runtime_error
("this material needs pixels with a column vector of Euler angles");
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM, Int NbSlip>
void MaterialCrystalPlasticityFinite<DimS, DimM, NbSlip>::
add_pixel(const Ccoord_t<DimS> & pixel,
const Eigen::Ref<Eigen::Array<Real, NbEuler, 1>> Euler){
this->internal_fields.add_pixel(pixel);
this->EulerField.push_back(Euler);
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM, Int NbSlip>
void MaterialCrystalPlasticityFinite<DimS, DimM, NbSlip>::
initialise() {
if (not this->is_initialised) {
Parent::initialise();
using T2_t = Eigen::Matrix<Real, DimM, DimM>;
this->FpField.get_map().current() = T2_t::Identity();
using ColArray_t = Eigen::Matrix<Real, NbSlip, 1>;
this->GammaDotField.get_map().current() = ColArray_t::Zero();
this->TauYField.get_map().current() = ColArray_t::Constant(this->tau_y0);
this->GammaField.set_zero();
this->FpField.cycle();
this->GammaDotField.cycle();
this->TauYField.cycle();
}
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM, Int NbSlip>
void MaterialCrystalPlasticityFinite<DimS, DimM, NbSlip>::
save_history_variables() {
auto GammaMap = this->GammaField.get_map();
auto GammaDotMap = this->GammaDotField.get_map();
for (auto && tup: akantu::zip(GammaMap, GammaDotMap)) {
auto & gamma = std::get<0>(tup);
auto & gamma_dot = std::get<1>(tup);
gamma += .5 * this->delta_t * (gamma_dot.current() + gamma_dot.old());
}
this->FpField.cycle();
this->GammaDotField.cycle();
this->TauYField.cycle();
}
/* ---------------------------------------------------------------------- */
template class MaterialCrystalPlasticityFinite< twoD, twoD, 3>;
template class MaterialCrystalPlasticityFinite< twoD, threeD, 12>;
template class MaterialCrystalPlasticityFinite<threeD, threeD, 12>;
} // muSpectre

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