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rAKA akantu
shape_cohesive.hh
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/**
* @file shape_cohesive.hh
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Marco Vocialta <marco.vocialta@epfl.ch>
*
* @date creation: Tue Feb 15 2011
* @date last modification: Tue Feb 20 2018
*
* @brief shape functions for cohesive elements description
*
*
* Copyright (©) 2010-2018 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 "aka_array.hh"
#include "shape_lagrange.hh"
/* -------------------------------------------------------------------------- */
#ifndef AKANTU_SHAPE_COHESIVE_HH_
#define AKANTU_SHAPE_COHESIVE_HH_
namespace
akantu
{
struct
CohesiveReduceFunctionMean
{
inline
Real
operator
()(
Real
u_plus
,
Real
u_minus
)
{
return
.5
*
(
u_plus
+
u_minus
);
}
};
struct
CohesiveReduceFunctionOpening
{
inline
Real
operator
()(
Real
u_plus
,
Real
u_minus
)
{
return
(
u_plus
-
u_minus
);
}
};
template
<>
class
ShapeLagrange
<
_ek_cohesive
>
:
public
ShapeLagrangeBase
{
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public
:
ShapeLagrange
(
const
Mesh
&
mesh
,
UInt
spatial_dimension
,
const
ID
&
id
=
"shape_cohesive"
,
const
MemoryID
&
memory_id
=
0
);
~
ShapeLagrange
()
override
=
default
;
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public
:
inline
void
initShapeFunctions
(
const
Array
<
Real
>
&
nodes
,
const
Matrix
<
Real
>
&
integration_points
,
ElementType
type
,
GhostType
ghost_type
);
/// extract the nodal values and store them per element
template
<
ElementType
type
,
class
ReduceFunction
>
void
extractNodalToElementField
(
const
Array
<
Real
>
&
nodal_f
,
Array
<
Real
>
&
elemental_f
,
GhostType
ghost_type
=
_not_ghost
,
const
Array
<
UInt
>
&
filter_elements
=
empty_filter
)
const
;
/// computes the shape functions derivatives for given interpolation points
template
<
ElementType
type
>
void
computeShapeDerivativesOnIntegrationPoints
(
const
Array
<
Real
>
&
nodes
,
const
Matrix
<
Real
>
&
integration_points
,
Array
<
Real
>
&
shape_derivatives
,
GhostType
ghost_type
,
const
Array
<
UInt
>
&
filter_elements
=
empty_filter
)
const
;
void
computeShapeDerivativesOnIntegrationPoints
(
const
Array
<
Real
>
&
nodes
,
const
Matrix
<
Real
>
&
integration_points
,
Array
<
Real
>
&
shape_derivatives
,
ElementType
type
,
GhostType
ghost_type
,
const
Array
<
UInt
>
&
filter_elements
)
const
override
;
/// pre compute all shapes on the element integration points from natural
/// coordinates
template
<
ElementType
type
>
void
precomputeShapesOnIntegrationPoints
(
const
Array
<
Real
>
&
nodes
,
GhostType
ghost_type
);
/// pre compute all shape derivatives on the element integration points from
/// natural coordinates
template
<
ElementType
type
>
void
precomputeShapeDerivativesOnIntegrationPoints
(
const
Array
<
Real
>
&
nodes
,
GhostType
ghost_type
);
/// interpolate nodal values on the integration points
template
<
ElementType
type
,
class
ReduceFunction
>
void
interpolateOnIntegrationPoints
(
const
Array
<
Real
>
&
u
,
Array
<
Real
>
&
uq
,
UInt
nb_degree_of_freedom
,
GhostType
ghost_type
=
_not_ghost
,
const
Array
<
UInt
>
&
filter_elements
=
empty_filter
)
const
;
template
<
ElementType
type
>
void
interpolateOnIntegrationPoints
(
const
Array
<
Real
>
&
u
,
Array
<
Real
>
&
uq
,
UInt
nb_degree_of_freedom
,
GhostType
ghost_type
=
_not_ghost
,
const
Array
<
UInt
>
&
filter_elements
=
empty_filter
)
const
{
interpolateOnIntegrationPoints
<
type
,
CohesiveReduceFunctionMean
>
(
u
,
uq
,
nb_degree_of_freedom
,
ghost_type
,
filter_elements
);
}
/// compute the gradient of u on the integration points in the natural
/// coordinates
template
<
ElementType
type
>
void
gradientOnIntegrationPoints
(
const
Array
<
Real
>
&
u
,
Array
<
Real
>
&
nablauq
,
UInt
nb_degree_of_freedom
,
GhostType
ghost_type
=
_not_ghost
,
const
Array
<
UInt
>
&
filter_elements
=
empty_filter
)
const
{
variationOnIntegrationPoints
<
type
,
CohesiveReduceFunctionMean
>
(
u
,
nablauq
,
nb_degree_of_freedom
,
ghost_type
,
filter_elements
);
}
/* ------------------------------------------------------------------------ */
template
<
ElementType
type
>
void
computeBtD
(
const
Array
<
Real
>
&
/*Ds*/
,
Array
<
Real
>
&
/*BtDs*/
,
GhostType
/*ghost_type*/
,
const
Array
<
UInt
>
&
/*filter_elements*/
)
const
{
AKANTU_TO_IMPLEMENT
();
}
template
<
ElementType
type
>
void
computeBtDB
(
const
Array
<
Real
>
&
/*Ds*/
,
Array
<
Real
>
&
/*BtDBs*/
,
UInt
/*order_d*/
,
GhostType
/*ghost_type*/
,
const
Array
<
UInt
>
&
/*filter_elements*/
)
const
{
AKANTU_TO_IMPLEMENT
();
}
/// multiply a field by shape functions
template
<
ElementType
type
>
void
computeNtb
(
const
Array
<
Real
>
&
/*bs*/
,
Array
<
Real
>
&
/*Ntbs*/
,
GhostType
/*ghost_type*/
,
const
Array
<
UInt
>
&
/*filter_elements*/
=
empty_filter
)
const
{
AKANTU_TO_IMPLEMENT
();
}
/* ------------------------------------------------------------------------ */
/// compute the gradient of u on the integration points
template
<
ElementType
type
,
class
ReduceFunction
>
void
variationOnIntegrationPoints
(
const
Array
<
Real
>
&
u
,
Array
<
Real
>
&
nablauq
,
UInt
nb_degree_of_freedom
,
GhostType
ghost_type
=
_not_ghost
,
const
Array
<
UInt
>
&
filter_elements
=
empty_filter
)
const
;
/// compute the normals to the field u on integration points
template
<
ElementType
type
,
class
ReduceFunction
>
void
computeNormalsOnIntegrationPoints
(
const
Array
<
Real
>
&
u
,
Array
<
Real
>
&
normals_u
,
GhostType
ghost_type
=
_not_ghost
,
const
Array
<
UInt
>
&
filter_elements
=
empty_filter
)
const
;
};
/// standard output stream operator
template
<
class
ShapeFunction
>
inline
std
::
ostream
&
operator
<<
(
std
::
ostream
&
stream
,
const
ShapeCohesive
<
ShapeFunction
>
&
_this
)
{
_this
.
printself
(
stream
);
return
stream
;
}
}
// namespace akantu
#include "shape_cohesive_inline_impl.hh"
#endif
/* AKANTU_SHAPE_COHESIVE_HH_ */
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