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rAKA akantu
solid_mechanics_model_RVE.hh
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/**
* @file solid_mechanics_model_RVE.hh
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
* @date Wed Jan 13 14:54:18 2016
*
* @brief SMM for RVE computations in FE2 simulations
*
* @section LICENSE
*
* Copyright (©) 2010-2011 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/>.
*
*/
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_SOLID_MECHANICS_MODEL_RVE_HH__
#define __AKANTU_SOLID_MECHANICS_MODEL_RVE_HH__
/* -------------------------------------------------------------------------- */
#include "solid_mechanics_model.hh"
#include "aka_grid_dynamic.hh"
#include <unordered_set>
/* -------------------------------------------------------------------------- */
__BEGIN_AKANTU__
class
SolidMechanicsModelRVE
:
public
SolidMechanicsModel
{
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public
:
SolidMechanicsModelRVE
(
Mesh
&
mesh
,
bool
use_RVE_mat_selector
=
true
,
UInt
nb_gel_pockets
=
400
,
UInt
spatial_dimension
=
_all_dimensions
,
const
ID
&
id
=
"solid_mechanics_model"
,
const
MemoryID
&
memory_id
=
0
);
virtual
~
SolidMechanicsModelRVE
();
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public
:
/// initialize completely the model
virtual
void
initFull
(
const
ModelOptions
&
options
=
SolidMechanicsModelOptions
(
_static
,
true
));
/// initialize the materials
virtual
void
initMaterials
();
/// apply boundary contions based on macroscopic deformation gradient
virtual
void
applyBoundaryConditions
(
const
Matrix
<
Real
>
&
displacement_gradient
);
/// advance the reactions -> grow gel and apply homogenized properties
void
advanceASR
(
const
Matrix
<
Real
>
&
prestrain
);
/// compute average stress or strain in the model
Real
averageTensorField
(
UInt
row_index
,
UInt
col_index
,
const
ID
&
field_type
);
/// compute effective stiffness of the RVE
void
homogenizeStiffness
(
Matrix
<
Real
>
&
C_macro
);
/// compute average eigenstrain
void
homogenizeEigenGradU
(
Matrix
<
Real
>
&
eigen_gradu_macro
);
/// initialize the solver and the jacobian_matrix (called by initImplicit)
virtual
void
initSolver
(
SolverOptions
&
options
=
_solver_no_options
);
/// allocate all vectors
virtual
void
initArrays
();
/* ------------------------------------------------------------------------ */
/* Data Accessor inherited members */
/* ------------------------------------------------------------------------ */
inline
virtual
void
unpackData
(
CommunicationBuffer
&
buffer
,
const
UInt
index
,
SynchronizationTag
tag
);
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public
:
AKANTU_GET_MACRO
(
CornerNodes
,
corner_nodes
,
const
Array
<
UInt
>
&
);
AKANTU_GET_MACRO
(
Volume
,
volume
,
Real
);
private
:
/// find the corner nodes
void
findCornerNodes
();
/// perform virtual testing
void
performVirtualTesting
(
const
Matrix
<
Real
>
&
H
,
Matrix
<
Real
>
&
eff_stresses
,
Matrix
<
Real
>
&
eff_strains
,
const
UInt
test_no
);
void
fillCracks
(
ElementTypeMapReal
&
saved_damage
);
void
drainCracks
(
const
ElementTypeMapReal
&
saved_damage
);
/* ------------------------------------------------------------------------ */
/* Members */
/* ------------------------------------------------------------------------ */
/// volume of the RVE
Real
volume
;
/// corner nodes 1, 2, 3, 4 (see Leonardo's thesis, page 98)
Array
<
UInt
>
corner_nodes
;
/// bottom nodes
std
::
unordered_set
<
UInt
>
bottom_nodes
;
/// left nodes
std
::
unordered_set
<
UInt
>
left_nodes
;
/// standard mat selector or user one
bool
use_RVE_mat_selector
;
StaticCommunicator
*
static_communicator_dummy
;
/// the number of gel pockets inside the RVE
UInt
nb_gel_pockets
;
/// dump counter
UInt
nb_dumps
;
};
inline
void
SolidMechanicsModelRVE
::
unpackData
(
CommunicationBuffer
&
buffer
,
const
UInt
index
,
SynchronizationTag
tag
)
{
SolidMechanicsModel
::
unpackData
(
buffer
,
index
,
tag
);
if
(
tag
==
_gst_smm_uv
)
{
Array
<
Real
>::
vector_iterator
disp_it
=
displacement
->
begin
(
spatial_dimension
);
Vector
<
Real
>
current_disp
(
disp_it
[
index
]);
// if node is at the bottom, u_bottom = u_top +u_2 -u_3
if
(
bottom_nodes
.
count
(
index
)
)
{
current_disp
+=
Vector
<
Real
>
(
disp_it
[
corner_nodes
(
1
)]);
current_disp
-=
Vector
<
Real
>
(
disp_it
[
corner_nodes
(
2
)]);
}
// if node is at the left, u_left = u_right +u_4 -u_3
else
if
(
left_nodes
.
count
(
index
)
)
{
current_disp
+=
Vector
<
Real
>
(
disp_it
[
corner_nodes
(
3
)]);
current_disp
-=
Vector
<
Real
>
(
disp_it
[
corner_nodes
(
2
)]);
}
}
}
/* -------------------------------------------------------------------------- */
/* ASR material selector */
/* -------------------------------------------------------------------------- */
class
GelMaterialSelector
:
public
MeshDataMaterialSelector
<
std
::
string
>
{
public
:
GelMaterialSelector
(
SolidMechanicsModel
&
model
,
const
Real
box_size
,
const
std
::
string
&
gel_material
,
const
UInt
nb_gel_pockets
,
Real
tolerance
=
0.
)
:
MeshDataMaterialSelector
<
std
::
string
>
(
"physical_names"
,
model
),
model
(
model
),
gel_material
(
gel_material
),
nb_gel_pockets
(
nb_gel_pockets
),
nb_placed_gel_pockets
(
0
),
box_size
(
box_size
)
{
Mesh
&
mesh
=
this
->
model
.
getMesh
();
UInt
spatial_dimension
=
model
.
getSpatialDimension
();
ElementType
type
=
_triangle_3
;
GhostType
ghost_type
=
_not_ghost
;
UInt
nb_element
=
mesh
.
getNbElement
(
type
,
ghost_type
);
Element
el
;
el
.
type
=
type
;
el
.
ghost_type
=
ghost_type
;
Array
<
Real
>
barycenter
(
0
,
spatial_dimension
);
barycenter
.
resize
(
nb_element
);
Array
<
Real
>::
vector_iterator
bary_it
=
barycenter
.
begin
(
spatial_dimension
);
for
(
UInt
elem
=
0
;
elem
<
nb_element
;
++
bary_it
,
++
elem
)
{
mesh
.
getBarycenter
(
elem
,
type
,
bary_it
->
storage
(),
ghost_type
);
}
/// generate the gel pockets
srand
(
0.
);
Vector
<
Real
>
center
(
spatial_dimension
);
UInt
placed_gel_pockets
=
0
;
std
::
set
<
int
>
checked_baries
;
while
(
placed_gel_pockets
!=
nb_gel_pockets
)
{
/// get a random bary center
UInt
bary_id
=
rand
()
%
nb_element
;
if
(
checked_baries
.
find
(
bary_id
)
!=
checked_baries
.
end
())
continue
;
checked_baries
.
insert
(
bary_id
);
el
.
element
=
bary_id
;
if
(
MeshDataMaterialSelector
<
std
::
string
>::
operator
()(
el
)
==
1
)
continue
;
/// element belongs to paste
gel_pockets
.
push_back
(
el
);
placed_gel_pockets
+=
1
;
}
}
UInt
operator
()(
const
Element
&
elem
)
{
UInt
temp_index
=
MeshDataMaterialSelector
<
std
::
string
>::
operator
()(
elem
);
if
(
temp_index
==
1
)
return
temp_index
;
std
::
vector
<
Element
>::
const_iterator
iit
=
gel_pockets
.
begin
();
std
::
vector
<
Element
>::
const_iterator
eit
=
gel_pockets
.
end
();
if
(
std
::
find
(
iit
,
eit
,
elem
)
!=
eit
)
{
nb_placed_gel_pockets
+=
1
;
std
::
cout
<<
nb_placed_gel_pockets
<<
" gelpockets placed"
<<
std
::
endl
;
return
model
.
getMaterialIndex
(
gel_material
);;
}
return
0
;
}
protected
:
SolidMechanicsModel
&
model
;
std
::
string
gel_material
;
std
::
vector
<
Element
>
gel_pockets
;
UInt
nb_gel_pockets
;
UInt
nb_placed_gel_pockets
;
Real
box_size
;
};
}
// namespace akantu
///#include "material_selector_tmpl.hh"
#endif
/* __AKANTU_SOLID_MECHANICS_MODEL_RVE_HH__ */
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