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rAKA/src/model/solid_mechanics/materials/material_plastic/material_drucker_prager.hh
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material_drucker_prager.hh
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/**
* Copyright (©) 2010-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This file is part of Akantu
*
* 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 "aka_common.hh"
#include "aka_voigthelper.hh"
#include "material_plastic.hh"
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_MATERIAL_DRUCKER_PRAGER_HH__
#define __AKANTU_MATERIAL_DRUCKER_PRAGER_HH__
namespace akantu {
/**
* Material plastic with a Drucker-pruger yield criterion
*/
template <Int dim> class MaterialDruckerPrager : public MaterialPlastic<dim> {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
using Parent = MaterialPlastic<dim>;
public:
MaterialDruckerPrager(SolidMechanicsModel & model, const ID & id = "");
MaterialDruckerPrager(SolidMechanicsModel & model, Int spatial_dimension,
const Mesh & mesh, FEEngine & fe_engine,
const ID & id = "");
protected:
using voigt_h = VoigtHelper<dim>;
void initialize();
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
/// constitutive law for all element of a type
void computeStress(ElementType el_type,
GhostType ghost_type = _not_ghost) override;
protected:
template <class Args> inline void computeStressOnQuad(Args && args);
inline void computeTangentModuliOnQuad(
Matrix<Real> & tangent, const Matrix<Real> & grad_u,
const Matrix<Real> & previous_grad_u, const Matrix<Real> & sigma_tensor,
const Matrix<Real> & previous_sigma_tensor) const;
inline Real computeYieldFunction(const Matrix<Real> & sigma);
inline Real computeYieldStress(const Matrix<Real> & sigma);
/// rcompute the alpha and k parameters
void updateInternalParameters() override;
public:
// closet point projection method to compute stress state on the
// yield surface
template <typename D1, typename D2, typename D3,
aka::enable_if_t<aka::are_vectors_v<D2, D3>> * = nullptr>
inline void computeGradientAndPlasticMultplier(
const Eigen::MatrixBase<D1> & sigma_trial,
Real & plastic_multiplier_guess, Eigen::MatrixBase<D2> & gradient_f,
Eigen::MatrixBase<D3> & delta_inelastic_strain, Int max_iterations = 100,
Real tolerance = 1e-10);
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
private:
// Internal friction angle of the material
Real phi;
// Compressive strength of the material
Real fc;
// modified friction angle for Drucker-Prager
Real alpha;
// modified compressive strength for Drucker-Prager
Real k;
// radial return mapping
bool radial_return_mapping;
};
} // namespace akantu
#include "material_drucker_prager_inline_impl.hh"
#endif /*__AKANTU_MATERIAL_DRUCKER_PRAGER_HH__ */
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