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kelvin.cpp
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Tue, Jul 2, 20:05
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rTAMAAS tamaas
kelvin.cpp
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/**
* @file
*
* @author Lucas Frérot <lucas.frerot@epfl.ch>
*
* @section LICENSE
*
* Copyright (©) 2017 EPFL (Ecole Polytechnique Fédérale de
* Lausanne) Laboratory (LSMS - Laboratoire de Simulation en Mécanique des
* Solides)
*
* Tamaas 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.
*
* Tamaas 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 Tamaas. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "kelvin.hh"
#include "elasto_plastic_model.hh"
#include "influence.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_TAMAAS__
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
/* Volume 2D implementation */
/* -------------------------------------------------------------------------- */
template
<>
void
Kelvin
<
model_type
::
volume_2d
>::
applyVolumeForcePotential
(
GridBase
<
Real
>&
source
,
GridBase
<
Real
>&
out
)
const
{
Real
nu
=
model
->
getPoissonRatio
(),
mu
=
model
->
getShearModulus
();
VectorProxy
<
const
Real
,
trait
::
dimension
>
domain
(
model
->
getSystemSize
()[
0
]);
influence
::
Kelvin
<
trait
::
dimension
,
0
>
kelvin
(
mu
,
nu
,
domain
);
auto
apply
=
[
this
,
&
kelvin
](
decltype
(
source_buffers
)
&
source_buffers
,
decltype
(
disp_buffers
)
&
disp_buffers
)
{
constexpr
UInt
dim
=
trait
::
dimension
;
const
Real
L
=
this
->
model
->
getSystemSize
().
front
();
const
UInt
N
=
this
->
model
->
getDiscretization
().
front
();
const
Real
dl
=
L
/
N
;
// Do the matrix vector product
for
(
UInt
i
=
0
;
i
<
N
;
++
i
)
{
const
Real
xi
=
i
*
dl
;
// Compute displacements u_i
auto
&
displacement
=
disp_buffers
[
i
];
displacement
=
0
;
for
(
UInt
j
=
0
;
j
<
N
;
++
j
)
{
const
Real
yj
=
j
*
dl
;
auto
&
source
=
source_buffers
[
j
];
#define VOLUME_FORCE_POTENTIAL(yj_xi) \
Loop::stridedLoop( \
[&kelvin, xi, yj, dl](VectorProxy<Complex, dim>&& u, \
VectorProxy<Complex, dim>&& f, \
VectorProxy<const Real, dim - 1>&& q) { \
constexpr UInt dim = trait::dimension; \
Matrix<Complex, dim, dim> F; \
influence::KelvinIntegrator::integrate<dim, 0, yj_xi>(kelvin, yj, xi, \
dl, q, F); \
u += F * f; \
}, \
displacement, source, this->wavevectors)
if
(
j
>
i
)
{
VOLUME_FORCE_POTENTIAL
(
1
);
}
else
if
(
j
==
i
)
{
VOLUME_FORCE_POTENTIAL
(
0
);
}
else
{
VOLUME_FORCE_POTENTIAL
(
-
1
);
}
#undef VOLUME_FORCE_POTENTIAL
}
// Setting fundamental frequency to zero
VectorProxy
<
Complex
,
dim
>
u_fundamental
(
displacement
(
0
));
u_fundamental
=
0
;
}
};
this
->
fourierApply
(
apply
,
source
,
out
);
}
template
<>
void
Kelvin
<
model_type
::
volume_2d
>::
applyVolumeStressPotential
(
GridBase
<
Real
>&
source
,
GridBase
<
Real
>&
out
)
const
{
//
}
template
<>
void
Kelvin
<
model_type
::
volume_2d
>::
applyHypersingularStressPotential
(
GridBase
<
Real
>&
source
,
GridBase
<
Real
>&
out
)
const
{
//
}
/* -------------------------------------------------------------------------- */
/* Volume 1D implementation */
/* -------------------------------------------------------------------------- */
template
<>
void
Kelvin
<
model_type
::
volume_1d
>::
applyVolumeForcePotential
(
GridBase
<
Real
>&
source
,
GridBase
<
Real
>&
out
)
const
{
//
}
template
<>
void
Kelvin
<
model_type
::
volume_1d
>::
applyVolumeStressPotential
(
GridBase
<
Real
>&
source
,
GridBase
<
Real
>&
out
)
const
{
//
}
template
<>
void
Kelvin
<
model_type
::
volume_1d
>::
applyHypersingularStressPotential
(
GridBase
<
Real
>&
source
,
GridBase
<
Real
>&
out
)
const
{
//
}
/* -------------------------------------------------------------------------- */
/* Template instanciation */
/* -------------------------------------------------------------------------- */
template
class
Kelvin
<
model_type
::
volume_1d
>
;
template
class
Kelvin
<
model_type
::
volume_2d
>
;
/* -------------------------------------------------------------------------- */
__END_TAMAAS__
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