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material_damage_tmpl.hh
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Wed, Sep 25, 02:08
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rAKA akantu
material_damage_tmpl.hh
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/**
* @file material_damage_tmpl.hh
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Marion Estelle Chambart <mchambart@stucky.ch>
* @author Marion Estelle Chambart <marion.chambart@epfl.ch>
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
* @author Daniel Pino Muñoz <daniel.pinomunoz@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Jun 18 2010
* @date last modification: Sun Dec 03 2017
*
* @brief Specialization of the material class for the damage material
*
*
* 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 "material_damage.hh"
#include "solid_mechanics_model.hh"
namespace
akantu
{
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
,
template
<
UInt
>
class
Parent
>
MaterialDamage
<
spatial_dimension
,
Parent
>::
MaterialDamage
(
SolidMechanicsModel
&
model
,
const
ID
&
id
)
:
Parent
<
spatial_dimension
>
(
model
,
id
),
damage
(
"damage"
,
*
this
),
dissipated_energy
(
"damage dissipated energy"
,
*
this
),
int_sigma
(
"integral of sigma"
,
*
this
)
{
AKANTU_DEBUG_IN
();
this
->
is_non_local
=
false
;
this
->
use_previous_stress
=
true
;
this
->
use_previous_gradu
=
true
;
this
->
damage
.
initialize
(
1
);
this
->
dissipated_energy
.
initialize
(
1
);
this
->
int_sigma
.
initialize
(
1
);
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
,
template
<
UInt
>
class
Parent
>
void
MaterialDamage
<
spatial_dimension
,
Parent
>::
initMaterial
()
{
AKANTU_DEBUG_IN
();
Parent
<
spatial_dimension
>::
initMaterial
();
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
/**
* Compute the dissipated energy in each element by a trapezoidal approximation
* of
* @f$ Ed = \int_0^{\epsilon}\sigma(\omega)d\omega -
* \frac{1}{2}\sigma:\epsilon@f$
*/
template
<
UInt
spatial_dimension
,
template
<
UInt
>
class
Parent
>
void
MaterialDamage
<
spatial_dimension
,
Parent
>::
updateEnergies
(
ElementType
el_type
)
{
Parent
<
spatial_dimension
>::
updateEnergies
(
el_type
);
this
->
computePotentialEnergy
(
el_type
);
auto
epsilon_p
=
this
->
gradu
.
previous
(
el_type
).
begin
(
spatial_dimension
,
spatial_dimension
);
auto
sigma_p
=
this
->
stress
.
previous
(
el_type
).
begin
(
spatial_dimension
,
spatial_dimension
);
auto
epot
=
this
->
potential_energy
(
el_type
).
begin
();
auto
ints
=
this
->
int_sigma
(
el_type
).
begin
();
auto
ed
=
this
->
dissipated_energy
(
el_type
).
begin
();
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN
(
el_type
,
_not_ghost
);
Matrix
<
Real
>
delta_gradu
(
grad_u
);
delta_gradu
-=
*
epsilon_p
;
Matrix
<
Real
>
sigma_h
(
sigma
);
sigma_h
+=
*
sigma_p
;
Real
dint
=
.5
*
sigma_h
.
doubleDot
(
delta_gradu
);
*
ints
+=
dint
;
*
ed
=
*
ints
-
*
epot
;
++
epsilon_p
;
++
sigma_p
;
++
epot
;
++
ints
;
++
ed
;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END
;
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
,
template
<
UInt
>
class
Parent
>
void
MaterialDamage
<
spatial_dimension
,
Parent
>::
computeTangentModuli
(
const
ElementType
&
el_type
,
Array
<
Real
>
&
tangent_matrix
,
GhostType
ghost_type
)
{
AKANTU_DEBUG_IN
();
Parent
<
spatial_dimension
>::
computeTangentModuli
(
el_type
,
tangent_matrix
,
ghost_type
);
Real
*
dam
=
this
->
damage
(
el_type
,
ghost_type
).
storage
();
MATERIAL_TANGENT_QUADRATURE_POINT_LOOP_BEGIN
(
tangent_matrix
);
computeTangentModuliOnQuad
(
tangent
,
*
dam
);
++
dam
;
MATERIAL_TANGENT_QUADRATURE_POINT_LOOP_END
;
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
,
template
<
UInt
>
class
Parent
>
void
MaterialDamage
<
spatial_dimension
,
Parent
>::
computeTangentModuliOnQuad
(
Matrix
<
Real
>
&
tangent
,
Real
&
dam
)
{
tangent
*=
(
1
-
dam
);
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
,
template
<
UInt
>
class
Parent
>
Real
MaterialDamage
<
spatial_dimension
,
Parent
>::
getDissipatedEnergy
()
const
{
AKANTU_DEBUG_IN
();
Real
de
=
0.
;
/// integrate the dissipated energy for each type of elements
for
(
auto
&
type
:
this
->
element_filter
.
elementTypes
(
spatial_dimension
,
_not_ghost
))
{
de
+=
this
->
fem
.
integrate
(
dissipated_energy
(
type
,
_not_ghost
),
type
,
_not_ghost
,
this
->
element_filter
(
type
,
_not_ghost
));
}
AKANTU_DEBUG_OUT
();
return
de
;
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
,
template
<
UInt
>
class
Parent
>
Real
MaterialDamage
<
spatial_dimension
,
Parent
>::
getEnergy
(
const
std
::
string
&
type
)
{
if
(
type
==
"dissipated"
)
return
getDissipatedEnergy
();
else
return
Parent
<
spatial_dimension
>::
getEnergy
(
type
);
}
/* -------------------------------------------------------------------------- */
}
// namespace akantu
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