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material_drucker_prager.hh
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material_drucker_prager.hh
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/**
* @file material_drucker_pruger.hh
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Wed Sep 09 2020
* @date last modification: Wed Sep 09 2020
*
* @brief Specialization of the material class for isotropic
* plasticity with Drucker-Pruger yield criterion
*
*
* Copyright (©) 2010-2018 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 "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<UInt spatial_dimension>
class MaterialDruckerPrager
: public MaterialPlastic<spatial_dimension> {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
MaterialDruckerPrager(SolidMechanicsModel & model,
const ID & id = "");
MaterialDruckerPrager(SolidMechanicsModel & model, UInt dim,
const Mesh & mesh, FEEngine & fe_engine,
const ID & id = "");
protected:
using voigt_h = VoigtHelper<spatial_dimension>;
void initialize();
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
/// constitutive law for all element of a type
void computeStress(ElementType el_type,
GhostType ghost_type = _not_ghost) override;
/// compute the tangent stiffness matrix for an element type
void computeTangentModuli(ElementType el_type,
Array<Real> & tangent_matrix,
GhostType ghost_type = _not_ghost) override;
protected:
/// Infinitesimal deformations
inline void computeStressOnQuad(
const Matrix<Real> & grad_u, const Matrix<Real> & previous_grad_u,
Matrix<Real> & sigma, const Matrix<Real> & previous_sigma,
Matrix<Real> & inelas_strain, const Matrix<Real> & previous_inelas_strain,
const Real & sigma_th, const Real & previous_sigma_th);
/// Finite deformations
inline void computeStressOnQuad(
const Matrix<Real> & grad_u, const Matrix<Real> & previous_grad_u,
Matrix<Real> & sigma, const Matrix<Real> & previous_sigma,
Matrix<Real> & inelas_strain, const Matrix<Real> & previous_inelas_strain,
const Real & sigma_th, const Real & previous_sigma_th,
const Matrix<Real> & F_tensor);
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);
inline void computeDeviatoricStress(const Matrix<Real> & sigma,
Matrix<Real> & sigma_dev);
/// rcompute the alpha and k parameters
void updateInternalParameters() override;
public:
// closet point projection method to compute stress state on the
// yield surface
inline void computeGradientAndPlasticMultplier(
const Matrix<Real> & sigma_tr, Real & plastic_multiplier_guess,
Vector<Real> & gradient_f, Vector<Real> & delta_inelastic_strain,
UInt 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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