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geometrical_element_property.hh
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rAKA akantu
geometrical_element_property.hh
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/**
* @file geometrical_element_property.hh
*
* @author Mauro Corrado <mauro.corrado@epfl.ch>
* @author Thomas Menouillard <tmenouillard@stucky.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Wed Nov 29 2017
*
* @brief Specialization of the geometrical types
*
*
* Copyright (©) 2016-2018 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 "element_class.hh"
/* -------------------------------------------------------------------------- */
#include <array>
/* -------------------------------------------------------------------------- */
namespace
akantu
{
namespace
detail
{
template
<
typename
properties
>
constexpr
size_t
sizeFacetConnectivity
()
{
size_t
s
=
0
;
for
(
size_t
n
=
0
;
n
<
properties
::
nb_facet_types
;
++
n
)
{
s
+=
properties
::
nb_facets
[
n
]
*
properties
::
nb_nodes_per_facet
[
n
];
}
return
s
==
0
?
1
:
s
;
}
}
// namespace detail
#if !defined(DOXYGEN)
template
<>
struct
GeometricalElementProperty
<
_gt_not_defined
>
{
static
constexpr
UInt
spatial_dimension
{
0
};
static
constexpr
UInt
nb_nodes_per_element
{
0
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
0
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
0
}};
static
constexpr
std
::
array
<
UInt
,
1
>
facet_connectivity_vect
{{
0
}};
};
template
<>
struct
GeometricalElementProperty
<
_gt_point
>
{
static
constexpr
UInt
spatial_dimension
{
0
};
static
constexpr
UInt
nb_nodes_per_element
{
1
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
1
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
1
}};
static
constexpr
std
::
array
<
UInt
,
1
>
facet_connectivity_vect
{{
0
}};
};
template
<>
struct
GeometricalElementProperty
<
_gt_segment_2
>
{
static
constexpr
UInt
spatial_dimension
{
1
};
static
constexpr
UInt
nb_nodes_per_element
{
2
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
2
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
1
}};
static
constexpr
std
::
array
<
UInt
,
2
>
facet_connectivity_vect
{{
0
,
1
}};
};
template
<>
struct
GeometricalElementProperty
<
_gt_segment_3
>
{
static
constexpr
UInt
spatial_dimension
{
1
};
static
constexpr
UInt
nb_nodes_per_element
{
3
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
2
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
1
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
2
>
facet_connectivity_vect
{{
0
,
1
}};
// clang-format on
};
template
<>
struct
GeometricalElementProperty
<
_gt_triangle_3
>
{
static
constexpr
UInt
spatial_dimension
{
2
};
static
constexpr
UInt
nb_nodes_per_element
{
3
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
3
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
2
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
6
>
facet_connectivity_vect
{{
0
,
1
,
2
,
1
,
2
,
0
}};
// clang-format on
};
template
<>
struct
GeometricalElementProperty
<
_gt_triangle_6
>
{
static
constexpr
UInt
spatial_dimension
{
2
};
static
constexpr
UInt
nb_nodes_per_element
{
6
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
3
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
3
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
9
>
facet_connectivity_vect
{{
0
,
1
,
2
,
1
,
2
,
0
,
3
,
4
,
5
}};
// clang-format on
};
template
<>
struct
GeometricalElementProperty
<
_gt_tetrahedron_4
>
{
static
constexpr
UInt
spatial_dimension
{
3
};
static
constexpr
UInt
nb_nodes_per_element
{
4
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
4
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
3
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
12
>
facet_connectivity_vect
{{
0
,
1
,
2
,
0
,
2
,
2
,
0
,
1
,
1
,
3
,
3
,
3
}};
// clang-format on
};
template
<>
struct
GeometricalElementProperty
<
_gt_tetrahedron_10
>
{
static
constexpr
UInt
spatial_dimension
{
3
};
static
constexpr
UInt
nb_nodes_per_element
{
10
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
4
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
6
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
6
*
4
>
facet_connectivity_vect
{{
0
,
1
,
2
,
0
,
2
,
2
,
0
,
1
,
1
,
3
,
3
,
3
,
6
,
5
,
6
,
4
,
5
,
9
,
7
,
8
,
4
,
8
,
9
,
7
}};
// clang-format on
};
template
<>
struct
GeometricalElementProperty
<
_gt_quadrangle_4
>
{
static
constexpr
UInt
spatial_dimension
{
2
};
static
constexpr
UInt
nb_nodes_per_element
{
4
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
4
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
2
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
2
*
4
>
facet_connectivity_vect
{{
0
,
1
,
2
,
3
,
1
,
2
,
3
,
0
}};
// clang-format on
};
template
<>
struct
GeometricalElementProperty
<
_gt_quadrangle_8
>
{
static
constexpr
UInt
spatial_dimension
{
2
};
static
constexpr
UInt
nb_nodes_per_element
{
8
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
4
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
3
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
4
*
3
>
facet_connectivity_vect
{{
0
,
1
,
2
,
3
,
1
,
2
,
3
,
0
,
4
,
5
,
6
,
7
}};
// clang-format on
};
template
<>
struct
GeometricalElementProperty
<
_gt_hexahedron_8
>
{
static
constexpr
UInt
spatial_dimension
{
3
};
static
constexpr
UInt
nb_nodes_per_element
{
8
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
6
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
4
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
4
*
6
>
facet_connectivity_vect
{{
0
,
0
,
1
,
2
,
3
,
4
,
3
,
1
,
2
,
3
,
0
,
5
,
2
,
5
,
6
,
7
,
4
,
6
,
1
,
4
,
5
,
6
,
7
,
7
}};
// clang-format on
};
template
<>
struct
GeometricalElementProperty
<
_gt_hexahedron_20
>
{
static
constexpr
UInt
spatial_dimension
{
3
};
static
constexpr
UInt
nb_nodes_per_element
{
20
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
6
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
8
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
8
*
6
>
facet_connectivity_vect
{{
0
,
1
,
2
,
3
,
0
,
4
,
1
,
2
,
3
,
0
,
3
,
5
,
5
,
6
,
7
,
4
,
2
,
6
,
4
,
5
,
6
,
7
,
1
,
7
,
8
,
9
,
10
,
11
,
11
,
16
,
13
,
14
,
15
,
12
,
10
,
17
,
16
,
17
,
18
,
19
,
9
,
18
,
12
,
13
,
14
,
15
,
8
,
19
}};
// clang-format on
};
template
<>
struct
GeometricalElementProperty
<
_gt_pentahedron_6
>
{
static
constexpr
UInt
spatial_dimension
{
3
};
static
constexpr
UInt
nb_nodes_per_element
{
6
};
static
constexpr
UInt
nb_facet_types
{
2
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
2
,
3
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
3
,
4
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
3
*
2
+
4
*
3
>
facet_connectivity_vect
{{
// first type
0
,
3
,
2
,
4
,
1
,
5
,
// second type
0
,
0
,
1
,
1
,
3
,
2
,
4
,
5
,
5
,
3
,
2
,
4
}};
// clang-format on
};
template
<>
struct
GeometricalElementProperty
<
_gt_pentahedron_15
>
{
static
constexpr
UInt
spatial_dimension
{
3
};
static
constexpr
UInt
nb_nodes_per_element
{
15
};
static
constexpr
UInt
nb_facet_types
{
2
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
2
,
3
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
6
,
8
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
6
*
2
+
8
*
3
>
facet_connectivity_vect
{{
// first type
0
,
3
,
2
,
4
,
1
,
5
,
8
,
12
,
7
,
13
,
6
,
14
,
// second type
0
,
0
,
1
,
1
,
3
,
2
,
4
,
5
,
5
,
3
,
2
,
4
,
6
,
9
,
7
,
10
,
14
,
11
,
12
,
11
,
13
,
9
,
8
,
10
}};
// clang-format on
};
#if defined(AKANTU_COHESIVE_ELEMENT)
/* -------------------------------------------------------------------------- */
template
<>
struct
GeometricalElementProperty
<
_gt_cohesive_2d_4
>
{
static
constexpr
UInt
spatial_dimension
{
2
};
static
constexpr
UInt
nb_nodes_per_element
{
4
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
2
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
2
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
2
*
2
>
facet_connectivity_vect
{{
0
,
2
,
1
,
3
}};
// clang-format on
};
/* -------------------------------------------------------------------------- */
template
<>
struct
GeometricalElementProperty
<
_gt_cohesive_2d_6
>
{
static
constexpr
UInt
spatial_dimension
{
2
};
static
constexpr
UInt
nb_nodes_per_element
{
6
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
2
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
3
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
3
*
2
>
facet_connectivity_vect
{{
0
,
3
,
1
,
4
,
2
,
5
}};
// clang-format on
};
/* -------------------------------------------------------------------------- */
template
<>
struct
GeometricalElementProperty
<
_gt_cohesive_1d_2
>
{
static
constexpr
UInt
spatial_dimension
{
1
};
static
constexpr
UInt
nb_nodes_per_element
{
2
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
2
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
1
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
2
>
facet_connectivity_vect
{{
0
,
1
}};
// clang-format on
};
/* -------------------------------------------------------------------------- */
template
<>
struct
GeometricalElementProperty
<
_gt_cohesive_3d_6
>
{
static
constexpr
UInt
spatial_dimension
{
3
};
static
constexpr
UInt
nb_nodes_per_element
{
6
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
2
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
3
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
3
*
2
>
facet_connectivity_vect
{{
0
,
3
,
1
,
4
,
2
,
5
}};
// clang-format on
};
/* -------------------------------------------------------------------------- */
template
<>
struct
GeometricalElementProperty
<
_gt_cohesive_3d_12
>
{
static
constexpr
UInt
spatial_dimension
{
3
};
static
constexpr
UInt
nb_nodes_per_element
{
12
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
2
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
6
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
6
*
2
>
facet_connectivity_vect
{{
0
,
6
,
1
,
7
,
2
,
8
,
3
,
9
,
4
,
10
,
5
,
11
}};
// clang-format on
};
/* -------------------------------------------------------------------------- */
template
<>
struct
GeometricalElementProperty
<
_gt_cohesive_3d_8
>
{
static
constexpr
UInt
spatial_dimension
{
3
};
static
constexpr
UInt
nb_nodes_per_element
{
8
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
2
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
4
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
4
*
2
>
facet_connectivity_vect
{{
0
,
4
,
1
,
5
,
2
,
6
,
3
,
7
}};
// clang-format on
};
/* -------------------------------------------------------------------------- */
template
<>
struct
GeometricalElementProperty
<
_gt_cohesive_3d_16
>
{
static
constexpr
UInt
spatial_dimension
{
3
};
static
constexpr
UInt
nb_nodes_per_element
{
16
};
static
constexpr
UInt
nb_facet_types
{
1
};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_facets
{{
2
}};
static
constexpr
std
::
array
<
UInt
,
nb_facet_types
>
nb_nodes_per_facet
{{
8
}};
// clang-format off
static
constexpr
std
::
array
<
UInt
,
8
*
2
>
facet_connectivity_vect
{{
0
,
8
,
1
,
9
,
2
,
10
,
3
,
11
,
4
,
12
,
5
,
13
,
6
,
14
,
7
,
15
}};
// clang-format on
};
#endif
// AKANTU_COHESIVE_ELEMENT
/* -------------------------------------------------------------------------- */
template
<>
struct
ElementClassExtraGeometryProperties
<
_not_defined
>
{
static
constexpr
ElementType
p1_type
{
_not_defined
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_not_defined
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_point_1
>
{
static
constexpr
ElementType
p1_type
{
_point_1
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_point_1
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_segment_2
>
{
static
constexpr
ElementType
p1_type
{
_segment_2
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_point_1
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_segment_3
>
{
static
constexpr
ElementType
p1_type
{
_segment_2
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_point_1
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_triangle_3
>
{
static
constexpr
ElementType
p1_type
{
_triangle_3
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_segment_2
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_triangle_6
>
{
static
constexpr
ElementType
p1_type
{
_triangle_3
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_segment_3
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_tetrahedron_4
>
{
static
constexpr
ElementType
p1_type
{
_tetrahedron_4
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_triangle_3
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_tetrahedron_10
>
{
static
constexpr
ElementType
p1_type
{
_tetrahedron_4
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_triangle_6
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_quadrangle_4
>
{
static
constexpr
ElementType
p1_type
{
_quadrangle_4
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_segment_2
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_quadrangle_8
>
{
static
constexpr
ElementType
p1_type
{
_quadrangle_4
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_segment_3
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_hexahedron_8
>
{
static
constexpr
ElementType
p1_type
{
_hexahedron_8
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_quadrangle_4
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_hexahedron_20
>
{
static
constexpr
ElementType
p1_type
{
_hexahedron_8
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_quadrangle_8
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_pentahedron_6
>
{
static
constexpr
ElementType
p1_type
{
_pentahedron_6
};
static
constexpr
std
::
array
<
ElementType
,
2
>
facet_type
{
{
_triangle_3
,
_quadrangle_4
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_pentahedron_15
>
{
static
constexpr
ElementType
p1_type
{
_pentahedron_6
};
static
constexpr
std
::
array
<
ElementType
,
2
>
facet_type
{
{
_triangle_6
,
_quadrangle_8
}};
};
#if defined(AKANTU_COHESIVE_ELEMENT)
template
<>
struct
ElementClassExtraGeometryProperties
<
_cohesive_2d_4
>
{
static
constexpr
ElementType
p1_type
{
_cohesive_2d_4
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_segment_2
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_cohesive_2d_6
>
{
static
constexpr
ElementType
p1_type
{
_cohesive_2d_4
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_segment_3
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_cohesive_1d_2
>
{
static
constexpr
ElementType
p1_type
{
_cohesive_1d_2
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_point_1
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_cohesive_3d_6
>
{
static
constexpr
ElementType
p1_type
{
_cohesive_3d_6
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_triangle_3
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_cohesive_3d_12
>
{
static
constexpr
ElementType
p1_type
{
_cohesive_3d_6
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_triangle_6
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_cohesive_3d_8
>
{
static
constexpr
ElementType
p1_type
{
_cohesive_3d_8
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_quadrangle_4
}};
};
template
<>
struct
ElementClassExtraGeometryProperties
<
_cohesive_3d_16
>
{
static
constexpr
ElementType
p1_type
{
_cohesive_3d_8
};
static
constexpr
std
::
array
<
ElementType
,
1
>
facet_type
{{
_quadrangle_8
}};
};
#endif
// AKANTU_COHESIVE_ELEMENT
#endif
// !defined(DOXYGEN)
}
// namespace akantu
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