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element_class_pentahedron_6_inline_impl.cc
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rAKA akantu
element_class_pentahedron_6_inline_impl.cc
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/**
* @file element_class_pentahedron_6_inline_impl.cc
*
* @author Marion Estelle Chambart <mchambart@stucky.ch>
* @author Mauro Corrado <mauro.corrado@epfl.ch>
* @author Thomas Menouillard <tmenouillard@stucky.ch>
*
* @date creation: Mon Mar 14 2011
* @date last modification: Tue Sep 01 2015
*
* @brief Specialization of the element_class class for the type _pentahedron_6
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014, 2015 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/>.
*
* @section DESCRIPTION
*
* @verbatim
/z
|
|
| 1
| /|\
|/ | \
/ | \
/ | \
/ | \
4 2-----0
| \ / /
| \/ /
| \ /----------/y
| / \ /
|/ \ /
5---.--3
/
/
/
\x
x y z
* N0 -1 1 0
* N1 -1 0 1
* N2 -1 0 0
* N3 1 1 0
* N4 1 0 1
* N5 1 0 0
*/
/* -------------------------------------------------------------------------- */
AKANTU_DEFINE_ELEMENT_CLASS_PROPERTY
(
_pentahedron_6
,
_gt_pentahedron_6
,
_itp_lagrange_pentahedron_6
,
_ek_regular
,
3
,
_git_pentahedron
,
1
);
AKANTU_DEFINE_SHAPE
(
_gt_pentahedron_6
,
_gst_prism
);
/* -------------------------------------------------------------------------- */
template
<>
template
<
class
vector_type
>
inline
void
InterpolationElement
<
_itp_lagrange_pentahedron_6
>::
computeShapes
(
const
vector_type
&
c
,
vector_type
&
N
)
{
/// Natural coordinates
N
(
0
)
=
0.5
*
c
(
1
)
*
(
1
-
c
(
0
));
// N1(q)
N
(
1
)
=
0.5
*
c
(
2
)
*
(
1
-
c
(
0
));
// N2(q)
N
(
2
)
=
0.5
*
(
1
-
c
(
1
)
-
c
(
2
))
*
(
1
-
c
(
0
));
// N3(q)
N
(
3
)
=
0.5
*
c
(
1
)
*
(
1
+
c
(
0
));
// N4(q)
N
(
4
)
=
0.5
*
c
(
2
)
*
(
1
+
c
(
0
));
// N5(q)
N
(
5
)
=
0.5
*
(
1
-
c
(
1
)
-
c
(
2
))
*
(
1
+
c
(
0
));
// N6(q)
}
/* -------------------------------------------------------------------------- */
template
<>
template
<
class
vector_type
,
class
matrix_type
>
inline
void
InterpolationElement
<
_itp_lagrange_pentahedron_6
>::
computeDNDS
(
const
vector_type
&
c
,
matrix_type
&
dnds
)
{
dnds
(
0
,
0
)
=
-
0.5
*
c
(
1
);
dnds
(
0
,
1
)
=
-
0.5
*
c
(
2
);
dnds
(
0
,
2
)
=
-
0.5
*
(
1
-
c
(
1
)
-
c
(
2
));
dnds
(
0
,
3
)
=
0.5
*
c
(
1
);
dnds
(
0
,
4
)
=
0.5
*
c
(
2
);
dnds
(
0
,
5
)
=
0.5
*
(
1
-
c
(
1
)
-
c
(
2
));
dnds
(
1
,
0
)
=
0.5
*
(
1
-
c
(
0
));
dnds
(
1
,
1
)
=
0.0
;
dnds
(
1
,
2
)
=
-
0.5
*
(
1
-
c
(
0
));
dnds
(
1
,
3
)
=
0.5
*
(
1
+
c
(
0
));
dnds
(
1
,
4
)
=
0.0
;
dnds
(
1
,
5
)
=
-
0.5
*
(
1
+
c
(
0
));
dnds
(
2
,
0
)
=
0.0
;
dnds
(
2
,
1
)
=
0.5
*
(
1
-
c
(
0
));
dnds
(
2
,
2
)
=
-
0.5
*
(
1
-
c
(
0
));
dnds
(
2
,
3
)
=
0.0
;
dnds
(
2
,
4
)
=
0.5
*
(
1
+
c
(
0
));
dnds
(
2
,
5
)
=
-
0.5
*
(
1
+
c
(
0
));
}
/* -------------------------------------------------------------------------- */
template
<>
inline
Real
GeometricalElement
<
_gt_pentahedron_6
>::
getInradius
(
const
Matrix
<
Real
>
&
coord
)
{
Vector
<
Real
>
u0
=
coord
(
0
);
Vector
<
Real
>
u1
=
coord
(
1
);
Vector
<
Real
>
u2
=
coord
(
2
);
Vector
<
Real
>
u3
=
coord
(
3
);
Real
a
=
u0
.
distance
(
u1
);
Real
b
=
u1
.
distance
(
u2
);
Real
c
=
u2
.
distance
(
u3
);
Real
d
=
u3
.
distance
(
u0
);
Real
s
=
(
a
+
b
+
c
)
/
2
;
Real
A
=
std
::
sqrt
(
s
*
(
s
-
a
)
*
(
s
-
b
)
*
(
s
-
c
));
Real
ra
=
2
*
s
/
A
;
Real
p
=
std
::
min
(
ra
,
d
);
return
p
;
}
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