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material_drucker_prager.cc
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rAKA akantu
material_drucker_prager.cc
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/**
* @file material_drucker_prager.cc
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Mon Apr 07 2014
* @date last modification: Tue Apr 06 2021
*
* @brief Implementation of the akantu::MaterialDruckerPrager class
*
*
* @section LICENSE
*
* Copyright (©) 2014-2021 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 "material_drucker_prager.hh"
/* -------------------------------------------------------------------------- */
namespace
akantu
{
template
<
UInt
spatial_dimension
>
MaterialDruckerPrager
<
spatial_dimension
>::
MaterialDruckerPrager
(
SolidMechanicsModel
&
model
,
const
ID
&
id
)
:
MaterialPlastic
<
spatial_dimension
>
(
model
,
id
)
{
AKANTU_DEBUG_IN
();
this
->
initialize
();
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
MaterialDruckerPrager
<
spatial_dimension
>::
MaterialDruckerPrager
(
SolidMechanicsModel
&
model
,
UInt
dim
,
const
Mesh
&
mesh
,
FEEngine
&
fe_engine
,
const
ID
&
id
)
:
MaterialPlastic
<
spatial_dimension
>
(
model
,
dim
,
mesh
,
fe_engine
,
id
)
{
AKANTU_DEBUG_IN
();
this
->
initialize
();
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
void
MaterialDruckerPrager
<
spatial_dimension
>::
initialize
()
{
this
->
registerParam
(
"phi"
,
phi
,
Real
(
0.
),
_pat_parsable
|
_pat_modifiable
,
"Internal friction angle in degrees"
);
this
->
registerParam
(
"fc"
,
fc
,
Real
(
1.
),
_pat_parsable
|
_pat_modifiable
,
"Compressive strength"
);
this
->
registerParam
(
"radial_return"
,
radial_return_mapping
,
bool
(
true
),
_pat_parsable
|
_pat_modifiable
,
"Radial return mapping"
);
this
->
updateInternalParameters
();
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
void
MaterialDruckerPrager
<
spatial_dimension
>::
updateInternalParameters
()
{
MaterialElastic
<
spatial_dimension
>::
updateInternalParameters
();
// compute alpha and k parameters for Drucker-Prager
Real
phi_radian
=
this
->
phi
*
M_PI
/
180.
;
this
->
alpha
=
(
6.
*
sin
(
phi_radian
))
/
(
3.
-
sin
(
phi_radian
));
Real
cohesion
=
this
->
fc
*
(
1.
-
sin
(
phi_radian
))
/
(
2.
*
cos
(
phi_radian
));
this
->
k
=
(
6.
*
cohesion
*
cos
(
phi_radian
))
/
(
3.
-
sin
(
phi_radian
));
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
void
MaterialDruckerPrager
<
spatial_dimension
>::
computeStress
(
ElementType
el_type
,
GhostType
ghost_type
)
{
AKANTU_DEBUG_IN
();
MaterialThermal
<
spatial_dimension
>::
computeStress
(
el_type
,
ghost_type
);
// infinitesimal and finite deformation
auto
sigma_th_it
=
this
->
sigma_th
(
el_type
,
ghost_type
).
begin
();
auto
previous_sigma_th_it
=
this
->
sigma_th
.
previous
(
el_type
,
ghost_type
).
begin
();
auto
previous_gradu_it
=
this
->
gradu
.
previous
(
el_type
,
ghost_type
)
.
begin
(
spatial_dimension
,
spatial_dimension
);
auto
previous_stress_it
=
this
->
stress
.
previous
(
el_type
,
ghost_type
)
.
begin
(
spatial_dimension
,
spatial_dimension
);
auto
inelastic_strain_it
=
this
->
inelastic_strain
(
el_type
,
ghost_type
)
.
begin
(
spatial_dimension
,
spatial_dimension
);
auto
previous_inelastic_strain_it
=
this
->
inelastic_strain
.
previous
(
el_type
,
ghost_type
)
.
begin
(
spatial_dimension
,
spatial_dimension
);
//
// Finite Deformations
//
if
(
this
->
finite_deformation
)
{
auto
previous_piola_kirchhoff_2_it
=
this
->
piola_kirchhoff_2
.
previous
(
el_type
,
ghost_type
)
.
begin
(
spatial_dimension
,
spatial_dimension
);
auto
green_strain_it
=
this
->
green_strain
(
el_type
,
ghost_type
)
.
begin
(
spatial_dimension
,
spatial_dimension
);
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN
(
el_type
,
ghost_type
);
auto
&
inelastic_strain_tensor
=
*
inelastic_strain_it
;
auto
&
previous_inelastic_strain_tensor
=
*
previous_inelastic_strain_it
;
auto
&
previous_grad_u
=
*
previous_gradu_it
;
auto
&
previous_sigma
=
*
previous_piola_kirchhoff_2_it
;
auto
&
green_strain
=
*
green_strain_it
;
this
->
template
gradUToE
<
spatial_dimension
>
(
grad_u
,
green_strain
);
Matrix
<
Real
>
previous_green_strain
(
spatial_dimension
,
spatial_dimension
);
this
->
template
gradUToE
<
spatial_dimension
>
(
previous_grad_u
,
previous_green_strain
);
Matrix
<
Real
>
F_tensor
(
spatial_dimension
,
spatial_dimension
);
this
->
template
gradUToF
<
spatial_dimension
>
(
grad_u
,
F_tensor
);
computeStressOnQuad
(
green_strain
,
previous_green_strain
,
sigma
,
previous_sigma
,
inelastic_strain_tensor
,
previous_inelastic_strain_tensor
,
*
sigma_th_it
,
*
previous_sigma_th_it
,
F_tensor
);
++
sigma_th_it
;
++
inelastic_strain_it
;
++
previous_sigma_th_it
;
//++previous_stress_it;
++
previous_gradu_it
;
++
green_strain_it
;
++
previous_inelastic_strain_it
;
++
previous_piola_kirchhoff_2_it
;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END
;
}
// Infinitesimal deformations
else
{
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN
(
el_type
,
ghost_type
);
auto
&
inelastic_strain_tensor
=
*
inelastic_strain_it
;
auto
&
previous_inelastic_strain_tensor
=
*
previous_inelastic_strain_it
;
auto
&
previous_grad_u
=
*
previous_gradu_it
;
auto
&
previous_sigma
=
*
previous_stress_it
;
computeStressOnQuad
(
grad_u
,
previous_grad_u
,
sigma
,
previous_sigma
,
inelastic_strain_tensor
,
previous_inelastic_strain_tensor
,
*
sigma_th_it
,
*
previous_sigma_th_it
);
++
sigma_th_it
;
++
inelastic_strain_it
;
++
previous_sigma_th_it
;
++
previous_stress_it
;
++
previous_gradu_it
;
++
previous_inelastic_strain_it
;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END
;
}
AKANTU_DEBUG_OUT
();
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
void
MaterialDruckerPrager
<
spatial_dimension
>::
computeTangentModuli
(
ElementType
/*el_type*/
,
Array
<
Real
>
&
/*tangent_matrix*/
,
GhostType
/*ghost_type*/
)
{
AKANTU_DEBUG_IN
();
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
INSTANTIATE_MATERIAL
(
plastic_drucker_prager
,
MaterialDruckerPrager
);
}
// namespace akantu
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