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Sat, Sep 21, 04:05
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rAKA akantu
material_neohookean.cc
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/**
* @file material_neohookean.cc
*
* @author Daniel Pino Muñoz <daniel.pinomunoz@epfl.ch>
*
* @date creation: Mon Apr 08 2013
* @date last modification: Wed Nov 08 2017
*
* @brief Specialization of the material class for finite deformation
* neo-hookean material
*
*
* Copyright (©) 2014-2018 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_neohookean.hh"
#include "solid_mechanics_model.hh"
namespace
akantu
{
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
MaterialNeohookean
<
spatial_dimension
>::
MaterialNeohookean
(
SolidMechanicsModel
&
model
,
const
ID
&
id
)
:
PlaneStressToolbox
<
spatial_dimension
>
(
model
,
id
)
{
AKANTU_DEBUG_IN
();
this
->
registerParam
(
"E"
,
E
,
Real
(
0.
),
_pat_parsable
|
_pat_modifiable
,
"Young's modulus"
);
this
->
registerParam
(
"nu"
,
nu
,
Real
(
0.5
),
_pat_parsable
|
_pat_modifiable
,
"Poisson's ratio"
);
this
->
registerParam
(
"lambda"
,
lambda
,
_pat_readable
,
"First Lamé coefficient"
);
this
->
registerParam
(
"mu"
,
mu
,
_pat_readable
,
"Second Lamé coefficient"
);
this
->
registerParam
(
"kapa"
,
kpa
,
_pat_readable
,
"Bulk coefficient"
);
this
->
finite_deformation
=
true
;
this
->
initialize_third_axis_deformation
=
true
;
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
void
MaterialNeohookean
<
spatial_dimension
>::
initMaterial
()
{
AKANTU_DEBUG_IN
();
PlaneStressToolbox
<
spatial_dimension
>::
initMaterial
();
if
(
spatial_dimension
==
1
)
{
nu
=
0.
;
}
this
->
updateInternalParameters
();
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<>
void
MaterialNeohookean
<
2
>::
initMaterial
()
{
AKANTU_DEBUG_IN
();
PlaneStressToolbox
<
2
>::
initMaterial
();
this
->
updateInternalParameters
();
if
(
this
->
plane_stress
)
{
this
->
third_axis_deformation
.
setDefaultValue
(
1.
);
}
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
void
MaterialNeohookean
<
spatial_dimension
>::
updateInternalParameters
()
{
lambda
=
nu
*
E
/
((
1
+
nu
)
*
(
1
-
2
*
nu
));
mu
=
E
/
(
2
*
(
1
+
nu
));
kpa
=
lambda
+
2.
/
3.
*
mu
;
}
/* -------------------------------------------------------------------------- */
template
<
UInt
dim
>
void
MaterialNeohookean
<
dim
>::
computeCauchyStressPlaneStress
(
ElementType
el_type
,
GhostType
ghost_type
)
{
AKANTU_DEBUG_IN
();
PlaneStressToolbox
<
dim
>::
computeCauchyStressPlaneStress
(
el_type
,
ghost_type
);
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<>
void
MaterialNeohookean
<
2
>::
computeCauchyStressPlaneStress
(
ElementType
el_type
,
GhostType
ghost_type
)
{
AKANTU_DEBUG_IN
();
auto
gradu_it
=
this
->
gradu
(
el_type
,
ghost_type
).
begin
(
2
,
2
);
auto
gradu_end
=
this
->
gradu
(
el_type
,
ghost_type
).
end
(
2
,
2
);
auto
piola_it
=
this
->
piola_kirchhoff_2
(
el_type
,
ghost_type
).
begin
(
2
,
2
);
auto
stress_it
=
this
->
stress
(
el_type
,
ghost_type
).
begin
(
2
,
2
);
auto
c33_it
=
this
->
third_axis_deformation
(
el_type
,
ghost_type
).
begin
();
for
(;
gradu_it
!=
gradu_end
;
++
gradu_it
,
++
piola_it
,
++
stress_it
,
++
c33_it
)
{
Matrix
<
Real
>
&
grad_u
=
*
gradu_it
;
Matrix
<
Real
>
&
piola
=
*
piola_it
;
Matrix
<
Real
>
&
sigma
=
*
stress_it
;
StoCauchy
<
2
>
(
gradUToF
<
2
>
(
grad_u
),
piola
,
sigma
,
*
c33_it
);
}
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
UInt
dim
>
void
MaterialNeohookean
<
dim
>::
computeStress
(
ElementType
el_type
,
GhostType
ghost_type
)
{
AKANTU_DEBUG_IN
();
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN
(
el_type
,
ghost_type
);
computeStressOnQuad
(
grad_u
,
sigma
);
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END
;
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<>
void
MaterialNeohookean
<
2
>::
computeStress
(
ElementType
el_type
,
GhostType
ghost_type
)
{
AKANTU_DEBUG_IN
();
if
(
this
->
plane_stress
)
{
PlaneStressToolbox
<
2
>::
computeStress
(
el_type
,
ghost_type
);
auto
c33_it
=
this
->
third_axis_deformation
(
el_type
,
ghost_type
).
begin
();
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN
(
el_type
,
ghost_type
);
computeStressOnQuad
(
grad_u
,
sigma
,
*
c33_it
);
++
c33_it
;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END
;
}
else
{
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN
(
el_type
,
ghost_type
);
computeStressOnQuad
(
grad_u
,
sigma
);
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END
;
}
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
UInt
dim
>
void
MaterialNeohookean
<
dim
>::
computeThirdAxisDeformation
(
ElementType
/*el_type*/
,
GhostType
/*ghost_type*/
)
{}
/* -------------------------------------------------------------------------- */
template
<>
void
MaterialNeohookean
<
2
>::
computeThirdAxisDeformation
(
ElementType
el_type
,
GhostType
ghost_type
)
{
AKANTU_DEBUG_IN
();
AKANTU_DEBUG_ASSERT
(
this
->
plane_stress
,
"The third component of the strain "
"can only be computed for 2D "
"problems in Plane Stress!!"
);
Array
<
Real
>::
scalar_iterator
c33_it
=
this
->
third_axis_deformation
(
el_type
,
ghost_type
).
begin
();
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN
(
el_type
,
ghost_type
);
computeThirdAxisDeformationOnQuad
(
grad_u
,
*
c33_it
);
++
c33_it
;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END
;
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
void
MaterialNeohookean
<
spatial_dimension
>::
computePotentialEnergy
(
ElementType
el_type
)
{
AKANTU_DEBUG_IN
();
Material
::
computePotentialEnergy
(
el_type
);
Array
<
Real
>::
scalar_iterator
epot
=
this
->
potential_energy
(
el_type
).
begin
();
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN
(
el_type
,
_not_ghost
);
computePotentialEnergyOnQuad
(
grad_u
,
*
epot
);
++
epot
;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END
;
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
void
MaterialNeohookean
<
spatial_dimension
>::
computeTangentModuli
(
__attribute__
((
unused
))
ElementType
el_type
,
Array
<
Real
>
&
tangent_matrix
,
__attribute__
((
unused
))
GhostType
ghost_type
)
{
AKANTU_DEBUG_IN
();
MATERIAL_TANGENT_QUADRATURE_POINT_LOOP_BEGIN
(
tangent_matrix
);
computeTangentModuliOnQuad
(
tangent
,
grad_u
);
MATERIAL_TANGENT_QUADRATURE_POINT_LOOP_END
;
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<>
void
MaterialNeohookean
<
2
>::
computeTangentModuli
(
__attribute__
((
unused
))
ElementType
el_type
,
Array
<
Real
>
&
tangent_matrix
,
__attribute__
((
unused
))
GhostType
ghost_type
)
{
AKANTU_DEBUG_IN
();
if
(
this
->
plane_stress
)
{
PlaneStressToolbox
<
2
>::
computeStress
(
el_type
,
ghost_type
);
Array
<
Real
>::
const_scalar_iterator
c33_it
=
this
->
third_axis_deformation
(
el_type
,
ghost_type
).
begin
();
MATERIAL_TANGENT_QUADRATURE_POINT_LOOP_BEGIN
(
tangent_matrix
);
computeTangentModuliOnQuad
(
tangent
,
grad_u
,
*
c33_it
);
++
c33_it
;
MATERIAL_TANGENT_QUADRATURE_POINT_LOOP_END
;
}
else
{
MATERIAL_TANGENT_QUADRATURE_POINT_LOOP_BEGIN
(
tangent_matrix
);
computeTangentModuliOnQuad
(
tangent
,
grad_u
);
MATERIAL_TANGENT_QUADRATURE_POINT_LOOP_END
;
}
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
Real
MaterialNeohookean
<
spatial_dimension
>::
getPushWaveSpeed
(
__attribute__
((
unused
))
const
Element
&
element
)
const
{
return
sqrt
((
this
->
lambda
+
2
*
this
->
mu
)
/
this
->
rho
);
}
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
Real
MaterialNeohookean
<
spatial_dimension
>::
getShearWaveSpeed
(
__attribute__
((
unused
))
const
Element
&
element
)
const
{
return
sqrt
(
this
->
mu
/
this
->
rho
);
}
/* -------------------------------------------------------------------------- */
INSTANTIATE_MATERIAL
(
neohookean
,
MaterialNeohookean
);
}
// namespace akantu
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