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material_drucker_prager.hh
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rAKA akantu
material_drucker_prager.hh
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/**
* @file material_drucker_prager.hh
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Fri Jun 18 2010
* @date last modification: Tue Apr 06 2021
*
* @brief Specialization of the material class for isotropic
* plasticity with Drucker-Pruger yield criterion
*
*
* @section LICENSE
*
* Copyright (©) 2010-2021 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
>
&
inelastic_strain
,
const
Matrix
<
Real
>
&
previous_inelastic_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
>
&
inelastic_strain
,
const
Matrix
<
Real
>
&
previous_inelastic_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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