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element_class_pentahedron_15_inline_impl.cc
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rAKA akantu
element_class_pentahedron_15_inline_impl.cc
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/**
* @file element_class_pentahedron_15_inline_impl.cc
*
* @author Mauro Corrado <mauro.corrado@epfl.ch>
* @author Sacha Laffely <sacha.laffely@epfl.ch>
* @author Damien Scantamburlo <damien.scantamburlo@epfl.ch>
*
* @date creation: Tue Mar 31 2015
* @date last modification: Wed Sep 16 2015
*
* @brief Specialization of the element_class class for the type _pentahedron_15
*
* @section LICENSE
*
* Copyright (©) 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
| /|\
|/ | \
10 7 6
/ | \
/ | \
4 2--8--0
| \ / /
| \11 /
13 12 9---------->y
| / \ /
|/ \ /
5--14--3
/
/
/
v
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
* N6 -1 0.5 0.5
* N7 -1 0 0.5
* N8 -1 0.5 0
* N9 0 1 0
* N10 0 0 1
* N11 0 0 0
* N12 1 0.5 0.5
* N13 1 0 0.5
* N14 1 0.5 0
*/
/* -------------------------------------------------------------------------- */
AKANTU_DEFINE_ELEMENT_CLASS_PROPERTY
(
_pentahedron_15
,
_gt_pentahedron_15
,
_itp_lagrange_pentahedron_15
,
_ek_regular
,
3
,
_git_pentahedron
,
2
);
/* -------------------------------------------------------------------------- */
template
<>
template
<
class
vector_type
>
inline
void
InterpolationElement
<
_itp_lagrange_pentahedron_15
>::
computeShapes
(
const
vector_type
&
c
,
vector_type
&
N
)
{
// Shape Functions, Natural coordinates
N
(
0
)
=
0.5
*
c
(
1
)
*
(
1
-
c
(
0
))
*
(
2
*
c
(
1
)
-
2
-
c
(
0
));
N
(
1
)
=
0.5
*
c
(
2
)
*
(
1
-
c
(
0
))
*
(
2
*
c
(
2
)
-
2
-
c
(
0
));
N
(
2
)
=
0.5
*
(
c
(
0
)
-
1
)
*
(
1
-
c
(
1
)
-
c
(
2
))
*
(
c
(
0
)
+
2
*
c
(
1
)
+
2
*
c
(
2
));
N
(
3
)
=
0.5
*
c
(
1
)
*
(
1
+
c
(
0
))
*
(
2
*
c
(
1
)
-
2
+
c
(
0
));
N
(
4
)
=
0.5
*
c
(
2
)
*
(
1
+
c
(
0
))
*
(
2
*
c
(
2
)
-
2
+
c
(
0
));
N
(
5
)
=
0.5
*
(
-
c
(
0
)
-
1
)
*
(
1
-
c
(
1
)
-
c
(
2
))
*
(
-
c
(
0
)
+
2
*
c
(
1
)
+
2
*
c
(
2
));
N
(
6
)
=
2.0
*
c
(
1
)
*
c
(
2
)
*
(
1
-
c
(
0
));
N
(
7
)
=
2.0
*
c
(
2
)
*
(
1
-
c
(
1
)
-
c
(
2
))
*
(
1
-
c
(
0
));
N
(
8
)
=
2.0
*
c
(
1
)
*
(
1
-
c
(
0
))
*
(
1
-
c
(
1
)
-
c
(
2
));
N
(
9
)
=
c
(
1
)
*
(
1
-
c
(
0
)
*
c
(
0
));
N
(
10
)
=
c
(
2
)
*
(
1
-
c
(
0
)
*
c
(
0
));
N
(
11
)
=
(
1
-
c
(
1
)
-
c
(
2
))
*
(
1
-
c
(
0
)
*
c
(
0
));
N
(
12
)
=
2.0
*
c
(
1
)
*
c
(
2
)
*
(
1
+
c
(
0
));
N
(
13
)
=
2.0
*
c
(
2
)
*
(
1
-
c
(
1
)
-
c
(
2
))
*
(
1
+
c
(
0
));
N
(
14
)
=
2.0
*
c
(
1
)
*
(
1
-
c
(
1
)
-
c
(
2
))
*
(
1
+
c
(
0
));
}
/* -------------------------------------------------------------------------- */
template
<>
template
<
class
vector_type
,
class
matrix_type
>
inline
void
InterpolationElement
<
_itp_lagrange_pentahedron_15
>::
computeDNDS
(
const
vector_type
&
c
,
matrix_type
&
dnds
)
{
//ddx
dnds
(
0
,
0
)
=
0.5
*
c
(
1
)
*
(
2
*
c
(
0
)
-
2
*
c
(
1
)
+
1
);
dnds
(
0
,
1
)
=
0.5
*
c
(
2
)
*
(
2
*
c
(
0
)
-
2
*
c
(
2
)
+
1
);
dnds
(
0
,
2
)
=
-
0.5
*
(
2
*
c
(
0
)
+
2
*
c
(
1
)
+
2
*
c
(
2
)
-
1
)
*
(
c
(
1
)
+
c
(
2
)
-
1
);
dnds
(
0
,
3
)
=
0.5
*
c
(
1
)
*
(
2
*
c
(
0
)
+
2
*
c
(
1
)
-
1
);
dnds
(
0
,
4
)
=
0.5
*
c
(
2
)
*
(
2
*
c
(
0
)
+
2
*
c
(
2
)
-
1
);
dnds
(
0
,
5
)
=
-
0.5
*
(
c
(
1
)
+
c
(
2
)
-
1
)
*
(
2
*
c
(
0
)
-
2
*
c
(
1
)
-
2
*
c
(
2
)
+
1
);
dnds
(
0
,
6
)
=
-
2.0
*
c
(
1
)
*
c
(
2
);
dnds
(
0
,
7
)
=
2.0
*
c
(
2
)
*
(
c
(
1
)
+
c
(
2
)
-
1
);
dnds
(
0
,
8
)
=
2.0
*
c
(
1
)
*
(
c
(
1
)
+
c
(
2
)
-
1
);
dnds
(
0
,
9
)
=
-
2.0
*
c
(
0
)
*
c
(
1
);
dnds
(
0
,
10
)
=
-
2.0
*
c
(
0
)
*
c
(
2
);
dnds
(
0
,
11
)
=
2.0
*
c
(
0
)
*
(
c
(
1
)
+
c
(
2
)
-
1
);
dnds
(
0
,
12
)
=
2.0
*
c
(
1
)
*
c
(
2
);
dnds
(
0
,
13
)
=
-
2.0
*
c
(
2
)
*
(
c
(
1
)
+
c
(
2
)
-
1
);
dnds
(
0
,
14
)
=
-
2.0
*
c
(
1
)
*
(
c
(
1
)
+
c
(
2
)
-
1
);
//ddy
dnds
(
1
,
0
)
=
-
0.5
*
(
c
(
0
)
-
1
)
*
(
4
*
c
(
1
)
-
c
(
0
)
-
2
);
dnds
(
1
,
1
)
=
0.0
;
dnds
(
1
,
2
)
=
-
0.5
*
(
c
(
0
)
-
1
)
*
(
4
*
c
(
1
)
+
c
(
0
)
+
2
*
(
2
*
c
(
2
)
-
1
));
dnds
(
1
,
3
)
=
0.5
*
(
c
(
0
)
+
1
)
*
(
4
*
c
(
1
)
+
c
(
0
)
-
2
);
dnds
(
1
,
4
)
=
0.0
;
dnds
(
1
,
5
)
=
0.5
*
(
c
(
0
)
+
1
)
*
(
4
*
c
(
1
)
-
c
(
0
)
+
2
*
(
2
*
c
(
2
)
-
1
));
dnds
(
1
,
6
)
=
-
2.0
*
(
c
(
0
)
-
1
)
*
c
(
2
);
dnds
(
1
,
7
)
=
2.0
*
c
(
2
)
*
(
c
(
0
)
-
1
);
dnds
(
1
,
8
)
=
2.0
*
(
2
*
c
(
1
)
+
c
(
2
)
-
1
)
*
(
c
(
0
)
-
1
);
dnds
(
1
,
9
)
=
-
(
c
(
0
)
*
c
(
0
)
-
1
);
dnds
(
1
,
10
)
=
0.0
;
dnds
(
1
,
11
)
=
(
c
(
0
)
*
c
(
0
)
-
1
);
dnds
(
1
,
12
)
=
2.0
*
c
(
2
)
*
(
c
(
0
)
+
1
);
dnds
(
1
,
13
)
=
-
2.0
*
c
(
2
)
*
(
c
(
0
)
+
1
);
dnds
(
1
,
14
)
=
-
2.0
*
(
2
*
c
(
1
)
+
c
(
2
)
-
1
)
*
(
c
(
0
)
+
1
);
//ddz
dnds
(
2
,
0
)
=
0.0
;
dnds
(
2
,
1
)
=
-
0.5
*
(
c
(
0
)
-
1
)
*
(
4
*
c
(
2
)
-
c
(
0
)
-
2
);
dnds
(
2
,
2
)
=
-
0.5
*
(
c
(
0
)
-
1
)
*
(
4
*
c
(
2
)
+
c
(
0
)
+
2
*
(
2
*
c
(
1
)
-
1
));
dnds
(
2
,
3
)
=
0.0
;
dnds
(
2
,
4
)
=
0.5
*
(
c
(
0
)
+
1
)
*
(
4
*
c
(
2
)
+
c
(
0
)
-
2
);
dnds
(
2
,
5
)
=
0.5
*
(
c
(
0
)
+
1
)
*
(
4
*
c
(
2
)
-
c
(
0
)
+
2
*
(
2
*
c
(
1
)
-
1
));
dnds
(
2
,
6
)
=
-
2.0
*
(
c
(
0
)
-
1
)
*
c
(
1
);
dnds
(
2
,
7
)
=
2.0
*
(
c
(
0
)
-
1
)
*
(
2
*
c
(
2
)
+
c
(
1
)
-
1
);
dnds
(
2
,
8
)
=
2.0
*
c
(
1
)
*
(
c
(
0
)
-
1
);
dnds
(
2
,
9
)
=
0.0
;
dnds
(
2
,
10
)
=
-
(
c
(
0
)
*
c
(
0
)
-
1
);
dnds
(
2
,
11
)
=
(
c
(
0
)
*
c
(
0
)
-
1
);
dnds
(
2
,
12
)
=
2.0
*
(
c
(
0
)
+
1
)
*
c
(
1
);
dnds
(
2
,
13
)
=
-
2.0
*
(
c
(
0
)
+
1
)
*
(
2
*
c
(
2
)
+
c
(
1
)
-
1
);
dnds
(
2
,
14
)
=
-
2.0
*
(
c
(
0
)
+
1
)
*
c
(
1
);
}
/* -------------------------------------------------------------------------- */
template
<>
inline
Real
GeometricalElement
<
_gt_pentahedron_15
>::
getInradius
(
const
Matrix
<
Real
>
&
coord
)
{
return
GeometricalElement
<
_gt_pentahedron_6
>::
getInradius
(
coord
);
}
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