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muSpectre/src/materials/stress_transformations_PK2_impl.hh
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stress_transformations_PK2_impl.hh
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/**
* @file stress_transformations_PK2_impl.hh
*
* @author Till Junge <till.junge@altermail.ch>
*
* @date 29 Oct 2018
*
* @brief Implementation of stress conversions for PK2 stress
*
* Copyright © 2018 Till Junge
*
* 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 µSpectre; see the file COPYING. If not, write to the
* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
* Boston, MA 02111-1307, USA.
*/
#ifndef SRC_MATERIALS_STRESS_TRANSFORMATIONS_PK2_IMPL_HH_
#define SRC_MATERIALS_STRESS_TRANSFORMATIONS_PK2_IMPL_HH_
namespace muSpectre {
namespace MatTB {
namespace internal {
/* ----------------------------------------------------------------------
*/
/**
* Specialisation for the case where we get material stress
* (Piola-Kirchhoff-2, PK2)
*/
template <Dim_t Dim, StrainMeasure StrainM>
struct PK1_stress<Dim, StressMeasure::PK2, StrainM>
: public PK1_stress<Dim, StressMeasure::no_stress_,
StrainMeasure::no_strain_> {
//! returns the converted stress
template <class Strain_t, class Stress_t>
inline static decltype(auto) compute(Strain_t && F, Stress_t && S) {
return F * S;
}
};
/* ----------------------------------------------------------------------
*/
/**
* Specialisation for the case where we get material stress
* (Piola-Kirchhoff-2, PK2) derived with respect to
* Green-Lagrange strain
*/
template <Dim_t Dim>
struct PK1_stress<Dim, StressMeasure::PK2, StrainMeasure::GreenLagrange>
: public PK1_stress<Dim, StressMeasure::PK2,
StrainMeasure::no_strain_> {
//! base class
using Parent =
PK1_stress<Dim, StressMeasure::PK2, StrainMeasure::no_strain_>;
using Parent::compute;
//! returns the converted stress and stiffness
template <class Strain_t, class Stress_t, class Tangent_t>
inline static decltype(auto) compute(Strain_t && F, Stress_t && S,
Tangent_t && C) {
using T4 = typename std::remove_reference_t<Tangent_t>::PlainObject;
using Tmap = T4MatMap<Real, Dim>;
T4 K;
Tmap Kmap{K.data()};
K.setZero();
for (int i = 0; i < Dim; ++i) {
for (int m = 0; m < Dim; ++m) {
for (int n = 0; n < Dim; ++n) {
get(Kmap, i, m, i, n) += S(m, n);
for (int j = 0; j < Dim; ++j) {
for (int r = 0; r < Dim; ++r) {
for (int s = 0; s < Dim; ++s) {
get(Kmap, i, m, j, n) +=
F(i, r) * get(C, r, m, s, n) * (F(j, s));
}
}
}
}
}
}
auto && P =
compute(std::forward<Strain_t>(F), std::forward<Stress_t>(S));
return std::make_tuple(std::move(P), std::move(K));
}
};
/* ----------------------------------------------------------------------
*/
/**
* Specialisation for the case where we get material stress
* (Piola-Kirchhoff-2, PK2) derived with respect to
* the placement Gradient (F)
*/
template <Dim_t Dim>
struct PK1_stress<Dim, StressMeasure::PK2, StrainMeasure::Gradient>
: public PK1_stress<Dim, StressMeasure::PK2,
StrainMeasure::no_strain_> {
//! base class
using Parent =
PK1_stress<Dim, StressMeasure::PK2, StrainMeasure::no_strain_>;
using Parent::compute;
//! returns the converted stress and stiffness
template <class Strain_t, class Stress_t, class Tangent_t>
inline static decltype(auto) compute(Strain_t && F, Stress_t && S,
Tangent_t && C) {
using T4 = typename std::remove_reference_t<Tangent_t>::PlainObject;
using Tmap = T4MatMap<Real, Dim>;
T4 K;
Tmap Kmap{K.data()};
K.setZero();
for (int i = 0; i < Dim; ++i) {
for (int m = 0; m < Dim; ++m) {
for (int n = 0; n < Dim; ++n) {
get(Kmap, i, m, i, n) += S(m, n);
for (int j = 0; j < Dim; ++j) {
for (int r = 0; r < Dim; ++r) {
get(Kmap, i, m, j, n) += F(i, r) * get(C, r, m, j, n);
}
}
}
}
}
auto && P =
compute(std::forward<Strain_t>(F), std::forward<Stress_t>(S));
return std::make_tuple(std::move(P), std::move(K));
}
};
} // namespace internal
} // namespace MatTB
} // namespace muSpectre
#endif // SRC_MATERIALS_STRESS_TRANSFORMATIONS_PK2_IMPL_HH_
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