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rAKA akantu
weight_function.hh
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/**
* @file weight_function.hh
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Cyprien Wolff <cyprien.wolff@epfl.ch>
*
* @date creation: Fri Apr 13 2012
* @date last modification: Thu Jun 05 2014
*
* @brief Weight functions for non local materials
*
* @section LICENSE
*
* Copyright (©) 2014 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_common.hh"
#include "aka_types.hh"
#include "solid_mechanics_model.hh"
#include "parsable.hh"
#include <cmath>
#if defined(AKANTU_DEBUG_TOOLS)
#include "aka_debug_tools.hh"
#include <string>
#endif
#include "material_list.hh"
/* -------------------------------------------------------------------------- */
#include <vector>
#include "material_damage.hh"
#ifndef __AKANTU_WEIGHT_FUNCTION_HH__
#define __AKANTU_WEIGHT_FUNCTION_HH__
__BEGIN_AKANTU__
/* -------------------------------------------------------------------------- */
/* Normal weight function */
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
class
BaseWeightFunction
:
public
Parsable
{
public
:
BaseWeightFunction
(
Material
&
material
,
const
std
::
string
&
type
=
"base"
)
:
Parsable
(
_st_non_local
,
"weight_function:"
+
type
),
material
(
material
),
type
(
type
)
{
this
->
registerParam
(
"radius"
,
R
,
100.
,
_pat_parsable
|
_pat_readable
,
"Non local radius"
);
this
->
registerParam
(
"update_rate"
,
update_rate
,
0U
,
_pat_parsmod
,
"Update frequency"
);
}
virtual
~
BaseWeightFunction
()
{}
virtual
void
init
()
{
R2
=
R
*
R
;
};
virtual
void
updateInternals
(
__attribute__
((
unused
))
const
ElementTypeMapArray
<
Real
>
&
quadrature_points_coordinates
)
{};
/* ------------------------------------------------------------------------ */
inline
void
setRadius
(
Real
radius
)
{
R
=
radius
;
R2
=
R
*
R
;
}
/* ------------------------------------------------------------------------ */
inline
void
selectType
(
__attribute__
((
unused
))
ElementType
type1
,
__attribute__
((
unused
))
GhostType
ghost_type1
,
__attribute__
((
unused
))
ElementType
type2
,
__attribute__
((
unused
))
GhostType
ghost_type2
)
{
}
/* ------------------------------------------------------------------------ */
inline
Real
operator
()(
Real
r
,
const
__attribute__
((
unused
))
QuadraturePoint
&
q1
,
const
__attribute__
((
unused
))
QuadraturePoint
&
q2
)
{
Real
w
=
0
;
if
(
r
<=
R
)
{
Real
alpha
=
(
1.
-
r
*
r
/
R2
);
w
=
alpha
*
alpha
;
// *weight = 1 - sqrt(r / radius);
}
return
w
;
}
void
printself
(
std
::
ostream
&
stream
,
int
indent
)
const
{
std
::
string
space
;
for
(
Int
i
=
0
;
i
<
indent
;
i
++
,
space
+=
AKANTU_INDENT
);
stream
<<
space
<<
"WeightFunction "
<<
type
<<
" ["
<<
std
::
endl
;
Parsable
::
printself
(
stream
,
indent
);
stream
<<
space
<<
"]"
<<
std
::
endl
;
}
public
:
Real
getRadius
()
{
return
R
;
}
UInt
getUpdateRate
()
{
return
update_rate
;
}
public
:
virtual
UInt
getNbDataForElements
(
__attribute__
((
unused
))
const
Array
<
Element
>
&
elements
,
__attribute__
((
unused
))
SynchronizationTag
tag
)
const
{
return
0
;
}
virtual
inline
void
packElementData
(
__attribute__
((
unused
))
CommunicationBuffer
&
buffer
,
__attribute__
((
unused
))
const
Array
<
Element
>
&
elements
,
__attribute__
((
unused
))
SynchronizationTag
tag
)
const
{}
virtual
inline
void
unpackElementData
(
__attribute__
((
unused
))
CommunicationBuffer
&
buffer
,
__attribute__
((
unused
))
const
Array
<
Element
>
&
elements
,
__attribute__
((
unused
))
SynchronizationTag
tag
)
{}
protected
:
Material
&
material
;
Real
R
;
Real
R2
;
UInt
update_rate
;
const
std
::
string
type
;
};
/* -------------------------------------------------------------------------- */
/* Damage weight function */
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
class
DamagedWeightFunction
:
public
BaseWeightFunction
<
spatial_dimension
>
{
public
:
DamagedWeightFunction
(
Material
&
material
)
:
BaseWeightFunction
<
spatial_dimension
>
(
material
,
"damaged"
)
{
//AKANTU_DEBUG_ASSERT(dynamic_cast<MaterialDamage<spatial_dimension> *>(&material) != NULL, "This weight function works only with damage materials!");
}
inline
void
selectType
(
__attribute__
((
unused
))
ElementType
type1
,
__attribute__
((
unused
))
GhostType
ghost_type1
,
ElementType
type2
,
GhostType
ghost_type2
)
{
selected_damage
=
&
(
this
->
material
.
template
getArray
<
Real
>
(
"damage"
,
type2
,
ghost_type2
));
}
inline
Real
operator
()(
Real
r
,
const
__attribute__
((
unused
))
QuadraturePoint
&
q1
,
const
QuadraturePoint
&
q2
)
{
UInt
quad
=
q2
.
global_num
;
Real
D
=
(
*
selected_damage
)(
quad
);
Real
Radius_t
=
0
;
Real
Radius_init
=
this
->
R2
;
// if(D <= 0.5)
// {
// Radius_t = 2*D*Radius_init;
// }
// else
// {
// Radius_t = 2*Radius_init*(1-D);
// }
//
Radius_t
=
Radius_init
*
(
1
-
D
);
Radius_init
*=
Radius_init
;
Radius_t
*=
Radius_t
;
if
(
Radius_t
<
Math
::
getTolerance
())
{
Radius_t
=
0.001
*
Radius_init
;
}
Real
expb
=
(
2
*
std
::
log
(
0.51
))
/
(
std
::
log
(
1.0
-
0.49
*
Radius_t
/
Radius_init
));
Int
expb_floor
=
std
::
floor
(
expb
);
Real
b
=
expb_floor
+
expb_floor
%
2
;
Real
alpha
=
std
::
max
(
0.
,
1.
-
r
*
r
/
Radius_init
);
Real
w
=
std
::
pow
(
alpha
,
b
);
return
w
;
}
private
:
const
Array
<
Real
>
*
selected_damage
;
};
/* -------------------------------------------------------------------------- */
/* Remove damaged weight function */
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
class
RemoveDamagedWeightFunction
:
public
BaseWeightFunction
<
spatial_dimension
>
{
public
:
RemoveDamagedWeightFunction
(
Material
&
material
)
:
BaseWeightFunction
<
spatial_dimension
>
(
material
,
"remove_damaged"
)
{
this
->
registerParam
(
"damage_limit"
,
this
->
damage_limit
,
1.
,
_pat_parsable
,
"Damage Threshold"
);
}
inline
void
selectType
(
__attribute__
((
unused
))
ElementType
type1
,
__attribute__
((
unused
))
GhostType
ghost_type1
,
ElementType
type2
,
GhostType
ghost_type2
)
{
selected_damage
=
&
(
this
->
material
.
template
getArray
<
Real
>
(
"damage"
,
type2
,
ghost_type2
));
// selected_damage = &mat.getDamage(type2, ghost_type2);
}
inline
Real
operator
()(
Real
r
,
const
__attribute__
((
unused
))
QuadraturePoint
&
q1
,
const
QuadraturePoint
&
q2
)
{
UInt
quad
=
q2
.
global_num
;
if
(
q1
==
q2
)
return
1.
;
Real
D
=
(
*
selected_damage
)(
quad
);
Real
w
=
0.
;
if
(
D
<
damage_limit
)
{
Real
alpha
=
std
::
max
(
0.
,
1.
-
r
*
r
/
this
->
R2
);
w
=
alpha
*
alpha
;
}
return
w
;
}
virtual
UInt
getNbDataForElements
(
const
Array
<
Element
>
&
elements
,
SynchronizationTag
tag
)
const
{
if
(
tag
==
_gst_mnl_weight
)
return
this
->
material
.
getModel
().
getNbQuadraturePoints
(
elements
)
*
sizeof
(
Real
);
return
0
;
}
virtual
inline
void
packElementData
(
CommunicationBuffer
&
buffer
,
const
Array
<
Element
>
&
elements
,
SynchronizationTag
tag
)
const
{
if
(
tag
==
_gst_mnl_weight
)
{
ElementTypeMapArray
<
Real
>
&
damage
=
this
->
material
.
template
getInternal
<
Real
>
(
"damage"
);
this
->
material
.
packElementDataHelper
(
damage
,
buffer
,
elements
);
}
}
virtual
inline
void
unpackElementData
(
CommunicationBuffer
&
buffer
,
const
Array
<
Element
>
&
elements
,
SynchronizationTag
tag
)
{
if
(
tag
==
_gst_mnl_weight
)
{
ElementTypeMapArray
<
Real
>
&
damage
=
this
->
material
.
template
getInternal
<
Real
>
(
"damage"
);
this
->
material
.
unpackElementDataHelper
(
damage
,
buffer
,
elements
);
}
}
private
:
/// limit at which a point is considered as complitely broken
Real
damage_limit
;
/// internal pointer to the current damage vector
const
Array
<
Real
>
*
selected_damage
;
};
/* -------------------------------------------------------------------------- */
/* Remove damaged with damage rate weight function */
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
class
RemoveDamagedWithDamageRateWeightFunction
:
public
BaseWeightFunction
<
spatial_dimension
>
{
public
:
RemoveDamagedWithDamageRateWeightFunction
(
Material
&
material
)
:
BaseWeightFunction
<
spatial_dimension
>
(
material
,
"remove_damage_with_damage_rate"
)
{
this
->
registerParam
(
"damage_limit"
,
this
->
damage_limit_with_damage_rate
,
1
,
_pat_parsable
,
"Damage Threshold"
);
}
inline
void
selectType
(
__attribute__
((
unused
))
ElementType
type1
,
__attribute__
((
unused
))
GhostType
ghost_type1
,
ElementType
type2
,
GhostType
ghost_type2
)
{
selected_damage_with_damage_rate
=
&
(
this
->
material
.
getArray
(
"damage"
,
type2
,
ghost_type2
));
selected_damage_rate_with_damage_rate
=
&
(
this
->
material
.
getArray
(
"damage-rate"
,
type2
,
ghost_type2
));
}
inline
Real
operator
()(
Real
r
,
const
__attribute__
((
unused
))
QuadraturePoint
&
q1
,
const
QuadraturePoint
&
q2
)
{
UInt
quad
=
q2
.
global_num
;
if
(
q1
.
global_num
==
quad
)
return
1.
;
Real
D
=
(
*
selected_damage_with_damage_rate
)(
quad
);
Real
w
=
0.
;
Real
alphaexp
=
1.
;
Real
betaexp
=
2.
;
if
(
D
<
damage_limit_with_damage_rate
)
{
Real
alpha
=
std
::
max
(
0.
,
1.
-
pow
((
r
*
r
/
this
->
R2
),
alphaexp
));
w
=
pow
(
alpha
,
betaexp
);
}
return
w
;
}
private
:
/// limit at which a point is considered as complitely broken
Real
damage_limit_with_damage_rate
;
/// internal pointer to the current damage vector
const
Array
<
Real
>
*
selected_damage_with_damage_rate
;
/// internal pointer to the current damage rate vector
const
Array
<
Real
>
*
selected_damage_rate_with_damage_rate
;
};
/* -------------------------------------------------------------------------- */
/* Stress Based Weight */
/* -------------------------------------------------------------------------- */
template
<
UInt
spatial_dimension
>
class
StressBasedWeightFunction
:
public
BaseWeightFunction
<
spatial_dimension
>
{
public
:
StressBasedWeightFunction
(
Material
&
material
);
void
init
();
virtual
void
updateInternals
(
__attribute__
((
unused
))
const
ElementTypeMapArray
<
Real
>
&
quadrature_points_coordinates
)
{
updatePrincipalStress
(
_not_ghost
);
updatePrincipalStress
(
_ghost
);
};
void
updatePrincipalStress
(
GhostType
ghost_type
);
inline
void
updateQuadraturePointsCoordinates
(
ElementTypeMapArray
<
Real
>
&
quadrature_points_coordinates
);
inline
void
selectType
(
ElementType
type1
,
GhostType
ghost_type1
,
ElementType
type2
,
GhostType
ghost_type2
);
inline
Real
operator
()(
Real
r
,
const
QuadraturePoint
&
q1
,
const
QuadraturePoint
&
q2
);
inline
Real
computeRhoSquare
(
Real
r
,
Vector
<
Real
>
&
eigs
,
Matrix
<
Real
>
&
eigenvects
,
Vector
<
Real
>
&
x_s
);
private
:
Real
ft
;
InternalField
<
Real
>
stress_diag
;
Array
<
Real
>
*
selected_stress_diag
;
InternalField
<
Real
>
stress_base
;
Array
<
Real
>
*
selected_stress_base
;
// InternalField<Real> quadrature_points_coordinates;
Array
<
Real
>
*
selected_position_1
;
Array
<
Real
>
*
selected_position_2
;
InternalField
<
Real
>
characteristic_size
;
Array
<
Real
>
*
selected_characteristic_size
;
};
template
<
UInt
spatial_dimension
>
inline
std
::
ostream
&
operator
<<
(
std
::
ostream
&
stream
,
const
BaseWeightFunction
<
spatial_dimension
>
&
_this
)
{
_this
.
printself
(
stream
);
return
stream
;
}
#include "weight_function_tmpl.hh"
__END_AKANTU__
#endif
/* __AKANTU_WEIGHT_FUNCTION_HH__ */
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