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mindlin.cpp
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rTAMAAS tamaas
mindlin.cpp
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/**
* @file
* @section LICENSE
*
* Copyright (©) 2016-2020 EPFL (École Polytechnique Fédérale de Lausanne),
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU Affero General Public License as published
* by the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program 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 Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public License
* along with this program. If not, see <https://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "mindlin.hh"
#include "boussinesq_helper.hh"
#include "influence.hh"
#include "kelvin_helper.hh"
#include "model_type.hh"
/* -------------------------------------------------------------------------- */
namespace
tamaas
{
/* -------------------------------------------------------------------------- */
template
<
model_type
type
,
UInt
derivative
>
Mindlin
<
type
,
derivative
>::
Mindlin
(
Model
*
model
)
:
parent
(
model
)
{
surface_tractions
.
setNbComponents
(
trait
::
components
);
surface_tractions
.
resize
(
this
->
source_buffer
.
front
().
sizes
());
}
/* -------------------------------------------------------------------------- */
template
<
model_type
type
,
UInt
derivative
>
void
Mindlin
<
type
,
derivative
>::
applyIf
(
GridBase
<
Real
>&
source
,
GridBase
<
Real
>&
out
,
filter_t
pred
)
const
{
Real
nu
=
this
->
model
->
getPoissonRatio
(),
mu
=
this
->
model
->
getShearModulus
();
influence
::
Kelvin
<
trait
::
dimension
,
2
>
kelvin_strain
(
mu
,
nu
);
influence
::
ElasticHelper
<
trait
::
dimension
>
elasticity
(
mu
,
nu
);
detail
::
SurfaceTractionHelper
<
type
>
thelper
;
const
Real
L
=
this
->
model
->
getSystemSize
().
front
();
parent
::
transformSource
(
source
,
pred
);
// Reset buffer values
for
(
auto
&&
layer
:
this
->
out_buffer
)
layer
=
0
;
// computing surface tractions (q power cancelled with
// boussinesq)
surface_tractions
=
0
;
thelper
.
template
computeSurfaceTractions
<
true
>
(
this
->
source_buffer
,
surface_tractions
,
this
->
wavevectors
,
L
,
kelvin_strain
,
elasticity
);
surface_tractions
*=
-
1
;
if
(
this
->
method
==
integration_method
::
linear
)
linearIntegral
(
out
);
else
cutoffIntegral
(
out
);
}
template
<
model_type
type
,
UInt
derivative
>
void
Mindlin
<
type
,
derivative
>::
linearIntegral
(
GridBase
<
Real
>&
out
)
const
{
Real
nu
=
this
->
model
->
getPoissonRatio
(),
mu
=
this
->
model
->
getShearModulus
();
Real
L
=
this
->
model
->
getSystemSize
().
front
();
influence
::
Kelvin
<
trait
::
dimension
,
derivative
>
kelvin
(
mu
,
nu
);
influence
::
Boussinesq
<
trait
::
dimension
,
derivative
-
1
>
boussinesq
(
mu
,
nu
);
influence
::
ElasticHelper
<
trait
::
dimension
>
elasticity
(
mu
,
nu
);
detail
::
KelvinHelper
<
type
,
decltype
(
kelvin
)
>
helper
;
detail
::
SurfaceTractionHelper
<
type
>
thelper
;
detail
::
BoussinesqHelper
<
type
,
decltype
(
boussinesq
)
>
bhelper
;
// apply kelvin
helper
.
applyIntegral
(
this
->
source_buffer
,
this
->
out_buffer
,
this
->
wavevectors
,
L
,
kelvin
);
helper
.
applyFreeTerm
(
this
->
source_buffer
,
this
->
out_buffer
,
kelvin
);
// no need for fundamental correction
// apply boussinesq (q power cancelled with mindlin 2-grad)
bhelper
.
template
apply
<
true
>
(
surface_tractions
,
this
->
out_buffer
,
this
->
wavevectors
,
L
,
boussinesq
);
// Correcting for fundamental mode
Vector
<
Real
,
trait
::
dimension
>
n
{{{
0
,
0
,
-
1
}}};
for
(
UInt
i
:
Loop
::
range
(
this
->
source_buffer
.
size
()))
{
typename
detail
::
KelvinTrait
<
decltype
(
kelvin
)
>::
source_t
w
(
this
->
source_buffer
[
i
](
0
));
typename
detail
::
KelvinTrait
<
decltype
(
kelvin
)
>::
out_t
u
(
this
->
out_buffer
[
i
](
0
));
auto
t
=
dense
(
w
)
*
n
;
bhelper
.
makeFundamentalModeGreatAgain
(
t
,
u
,
elasticity
);
}
parent
::
transformOutput
(
[](
auto
&&
out_buffer
,
auto
layer
)
->
typename
parent
::
BufferType
&
{
return
out_buffer
[
layer
];
},
out
);
}
template
<
model_type
type
,
UInt
derivative
>
void
Mindlin
<
type
,
derivative
>::
cutoffIntegral
(
GridBase
<
Real
>&
out
)
const
{
Real
nu
=
this
->
model
->
getPoissonRatio
(),
mu
=
this
->
model
->
getShearModulus
();
Real
L
=
this
->
model
->
getSystemSize
().
front
();
influence
::
Kelvin
<
trait
::
dimension
,
derivative
>
kelvin
(
mu
,
nu
);
influence
::
Boussinesq
<
trait
::
dimension
,
derivative
-
1
>
boussinesq
(
mu
,
nu
);
influence
::
ElasticHelper
<
trait
::
dimension
>
elasticity
(
mu
,
nu
);
detail
::
KelvinHelper
<
type
,
decltype
(
kelvin
)
>
helper
;
detail
::
SurfaceTractionHelper
<
type
>
thelper
;
detail
::
BoussinesqHelper
<
type
,
decltype
(
boussinesq
)
>
bhelper
;
Vector
<
Real
,
trait
::
dimension
>
n
{{{
0
,
0
,
-
1
}}};
auto
func
=
[
&
](
auto
&&
out_buffer
,
auto
layer
)
->
typename
parent
::
BufferType
&
{
auto
&&
out
=
out_buffer
.
front
();
// Reset previous values
out
=
0
;
// Apply kelvin
helper
.
applyIntegral
(
this
->
source_buffer
,
out
,
layer
,
this
->
wavevectors
,
L
,
this
->
cutoff
,
kelvin
);
helper
.
applyFreeTerm
(
this
->
source_buffer
[
layer
],
out
,
kelvin
);
helper
.
makeFundamentalGreatAgain
(
out
);
// Apply boussinesq to cancel surface tractions
bhelper
.
template
apply
<
true
>
(
surface_tractions
,
out
,
layer
,
this
->
wavevectors
,
this
->
source_buffer
.
size
(),
L
,
boussinesq
);
// Take care of fundamental mode
typename
detail
::
KelvinTrait
<
decltype
(
kelvin
)
>::
source_t
w
(
this
->
source_buffer
[
layer
](
0
));
typename
detail
::
KelvinTrait
<
decltype
(
kelvin
)
>::
out_t
u
(
out
(
0
));
auto
t
=
dense
(
w
)
*
n
;
bhelper
.
makeFundamentalModeGreatAgain
(
t
,
u
,
elasticity
);
return
out
;
};
parent
::
transformOutput
(
func
,
out
);
}
/* -------------------------------------------------------------------------- */
/* Template instanciation */
/* -------------------------------------------------------------------------- */
template
class
Mindlin
<
model_type
::
volume_2d
,
1
>
;
template
class
Mindlin
<
model_type
::
volume_2d
,
2
>
;
}
// namespace tamaas
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