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resolution.cc
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rAKA akantu
resolution.cc
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/**
* @file resolution.cc
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Mon Jan 7 2019
* @date last modification: Mon Jan 7 2019
*
* @brief Implementation of common part of the contact resolution class
*
* @section LICENSE
*
* 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 "resolution.hh"
#include "contact_mechanics_model.hh"
/* -------------------------------------------------------------------------- */
namespace
akantu
{
/* -------------------------------------------------------------------------- */
Resolution
::
Resolution
(
ContactMechanicsModel
&
model
,
const
ID
&
id
)
:
Memory
(
id
,
model
.
getMemoryID
()),
Parsable
(
ParserType
::
_contact_resolution
,
id
),
fem
(
model
.
getFEEngine
()),
name
(
""
),
model
(
model
),
spatial_dimension
(
model
.
getMesh
().
getSpatialDimension
()){
AKANTU_DEBUG_IN
();
this
->
initialize
();
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
Resolution
::~
Resolution
()
=
default
;
/* -------------------------------------------------------------------------- */
void
Resolution
::
initialize
()
{
registerParam
(
"name"
,
name
,
std
::
string
(),
_pat_parsable
|
_pat_readable
);
registerParam
(
"mu"
,
mu
,
Real
(
0.
),
_pat_parsable
|
_pat_modifiable
,
"Friciton Coefficient"
);
}
/* -------------------------------------------------------------------------- */
void
Resolution
::
printself
(
std
::
ostream
&
stream
,
int
indent
)
const
{
std
::
string
space
;
for
(
Int
i
=
0
;
i
<
indent
;
i
++
,
space
+=
AKANTU_INDENT
)
;
std
::
string
type
=
getID
().
substr
(
getID
().
find_last_of
(
':'
)
+
1
);
stream
<<
space
<<
"Contact Resolution "
<<
type
<<
" ["
<<
std
::
endl
;
Parsable
::
printself
(
stream
,
indent
);
stream
<<
space
<<
"]"
<<
std
::
endl
;
}
/* -------------------------------------------------------------------------- */
void
Resolution
::
assembleInternalForces
(
GhostType
ghost_type
)
{
AKANTU_DEBUG_IN
();
const
Array
<
Int
>
&
equation_array
=
model
.
getDOFManager
().
getEquationsNumbers
();
auto
&
internal_force
=
const_cast
<
Array
<
Real
>
&>
(
model
.
getInternalForce
());
auto
&
contact_map
=
model
.
getContactMap
();
const
auto
slave_nodes
=
model
.
getMesh
().
getNodeGroup
(
name
);
for
(
auto
&
slave:
slave_nodes
)
{
auto
&
master
=
contact_map
[
slave
].
master
;
auto
&
gap
=
contact_map
[
slave
].
gap
;
auto
&
projection
=
contact_map
[
slave
].
projection
;
UInt
nb_nodes_master
=
Mesh
::
getNbNodesPerElement
(
master
.
type
)
Vector
<
Real
>
shapes
(
nb_nodes_master
);
fem
.
computeShapes
(
projection
,
master
,
master
.
type
,
shapes
,
ghost_type
);
Matrix
<
Real
>
shapes_derivatives
(
spatial_dimension
-
1
,
nb_nodes_master
);
fem
.
computeShapeDerivatives
(
projection
,
master
,
master
.
type
,
shapes_derivatives
,
ghost_type
);
const
auto
&
connectivity
=
contact_map
[
slave
].
connectivity
;
Vector
<
Real
>
elementary_force
(
connectivity
.
size
()
*
spatial_dimension
);
Array
<
Real
>
*
tangents
=
new
Array
<
Real
>
(
spatial_dimension
-
1
,
spatial_dimension
,
"surface_tangents"
);
Array
<
Real
>
*
global_coords
=
new
Array
<
Real
>
(
nb_nodes_master
,
spatial_dimension
);
computeCoordinates
(
master
.
type
,
*
global_coords
);
computeTangents
(
shapes_derivatives
,
*
global_coords
,
*
tangents
);
Matrix
<
Real
>
surface_matrix
(
spatial_dimension
-
1
,
spatial_dimension
-
1
);
computeSurfaceMatrix
(
*
tangents
,
surface_matrix
);
computeN
(
*
n
,
shapes
,
normal
);
computeNormalForce
(
elementary_force
,
*
n
,
gap
);
computeTalpha
(
*
t_alpha
,
shapes
,
*
tangents
);
computeNalpha
(
*
n_alpha
,
*
shapes_derivatives
,
normal
);
computeDalpha
(
*
d_alpha
,
*
n_alpha
,
*
t_alpha
,
surface_matrix
);
computeFrictionForce
(
elementary_force
,
*
d_alpha
,
gap
);
for
(
UInt
i
=
0
;
i
<
connectivity
.
size
();
++
i
)
{
for
(
UInt
j
=
0
;
j
<
spatial_dimension
;
++
j
)
{
UInt
offset_node
=
connectivity
(
i
)
*
spatial_dimension
+
j
;
auto
&
equation_num
=
equation_array
(
offset_node
);
internal_force
(
equation_num
)
+=
elementary_force
(
i
+
j
);
}
}
}
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
void
Resolution
::
assembleStiffnessMatrix
(
GhostType
ghost_type
)
{
AKANTU_DEBUG_IN
();
const
auto
slave_nodes
=
model
.
getMesh
().
getNodeGroup
(
name
);
auto
&
contact_map
=
model
.
getContactMap
();
for
(
auto
&
slave:
slave_nodes
)
{
auto
&
master
=
contact_map
[
slave
].
master
;
auto
&
gap
=
contact_map
[
slave
].
gap
;
auto
&
projection
=
contact_map
[
slave
].
projection
;
Vector
<
Real
>
shapes
(
master
.
nb_nodes
);
fem
.
computeShapes
(
projection
,
master
,
master
.
type
,
shapes
,
ghost_type
);
Vector
<
Real
>
shapes_derivatives
(
master
.
nb_nodes
*
spatial_dimension
);
fem
.
computeShapeDerivatives
(
projection
,
master
,
master
.
type
,
shapes_derivatives
,
ghost_type
);
const
auto
&
connectivity
=
contact_map
[
slave
].
connectivity
;
Matrix
<
Real
>
elementary_stiffness
(
connectivity
.
size
()
*
spatial_dimension
,
connectivity
.
size
()
*
spatial_dimension
);
Array
<
Real
>
*
tangents
=
new
Array
<
Real
>
(
spatial_dimension
-
1
,
spatial_dimension
,
"surface_tangents"
);
Array
<
Real
>
*
global_coords
=
new
Array
<
Real
>
(
nb_nodes_master
,
spatial_dimension
);
computeCoordinates
(
master
.
type
,
*
global_coords
);
computeTangents
(
shapes_derivatives
,
*
global_coords
,
*
tangents
);
Matrix
<
Real
>
surface_matrix
(
spatial_dimension
-
1
,
spatial_dimension
-
1
);
computeSurfaceMatrix
(
*
tangents
,
surface_matrix
);
computeN
(
*
n
,
shapes
,
normal
);
computeTalpha
(
*
t_alpha
,
shapes
,
*
tangents
);
computeNalpha
(
*
n_alpha
,
*
shapes_derivatives
,
normal
);
computeDalpha
(
*
d_alpha
,
*
n_alpha
,
*
t_alpha
,
surface_matrix
);
computeTangentModuli
(
*
n
,
*
n_alpha
,
*
t_alpha
,
*
d_alpha
,
gap
);
}
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
void
Resolution
::
computeTangents
(
Matrix
<
Real
>
&
shapes_derivatives
,
Array
<
Real
>
&
global_coords
,
Array
<
Real
>
&
tangents
)
{
UInt
i
=
0
;
for
(
auto
&&
values
:
zip
(
make_view
(
tangents
,
spatial_dimension
)))
{
auto
&
tangent
=
std
::
get
<
0
>
(
values
);
for
(
UInt
n
:
arange
(
global_coords
.
nb_components
))
{
tangent
+=
shapes_derivaties
(
n
,
i
)
*
global_coords
(
n
);
}
++
i
;
}
}
/* -------------------------------------------------------------------------- */
void
Resolution
::
computeSurfaceMatrix
(
Array
<
Real
>
&
tangents
,
Matrix
<
Real
>
&
surface_matrix
)
{
for
(
UInt
i
:
arange
(
spatial_dimension
-
1
))
{
for
(
UInt
j
:
arange
(
spatial_dimension
-
1
))
{
surface_matrix
(
i
,
j
)
=
tangents
(
i
)
*
tangents
(
j
);
}
}
inverse
(
surface_matrix
);
}
/* -------------------------------------------------------------------------- */
void
Resolution
::
computeN
(
Array
<
Real
>
&
n
,
Vector
<
Real
>
&
shapes
,
Vector
<
Real
>
&
normal
)
{
UInt
dim
=
normal
.
size
();
for
(
UInt
i
=
0
;
i
<
dim
;
++
i
)
{
n
[
i
]
=
normal
[
i
]
*
tn
;
for
(
UInt
j
=
0
;
j
<
shapes
.
size
();
++
j
)
{
n
[(
1
+
j
)
*
dim
+
i
]
=
-
normal
[
i
]
*
shapes
[
j
];
}
}
}
/* -------------------------------------------------------------------------- */
void
Resolution
::
computeTalpha
(
Array
<
Real
>
&
t_alpha
,
Vector
<
Real
>
&
shapes
,
Array
<
Real
>
&
tangents
)
{
for
(
auto
&&
values:
zip
(
make_view
(
tangents
,
spatial_dimension
),
make_view
(
t_alpha
,
t_alpha
.
size
())))
{
auto
&
tangent
=
std
::
get
<
0
>
(
values
);
auto
&
t
=
std
::
get
<
1
>
(
values
);
for
(
UInt
i
:
arange
(
spatial_dimension
))
{
t
[
i
]
=
-
tangent
[
i
];
for
(
UInt
j
:
arange
(
shapes
.
size
()))
{
t
[(
1
+
j
)
*
spatial_dimension
+
i
]
=
-
shapes
[
j
]
*
tangent
[
i
];
}
}
}
}
/* -------------------------------------------------------------------------- */
void
Resolution
::
computeNalpha
(
Array
<
Real
>
&
n_alpha
,
Array
<
Real
>
&
shapes_derivatives
,
Vector
<
Real
>
&
normal
)
{
for
(
auto
&&
values:
zip
(
make_view
(
shapes_derivatives
,
shapes_derivatives
.
size
(),
n_alpha
,
n_alpha
.
size
())))
{
auto
&
shape_derivative
=
std
::
get
<
0
>
(
values
);
auto
&
n
=
std
::
get
<
1
>
(
values
);
for
(
UInt
i
:
arange
(
spatial_dimension
))
{
n
[
i
]
=
0
;
for
(
UInt
j
:
arange
(
shapes
.
size
()))
{
n
[(
1
+
j
)
*
spatial_dimension
+
i
]
=
-
shape_derivative
[
j
]
*
normal
[
i
];
}
}
}
}
/* -------------------------------------------------------------------------- */
void
Resolution
::
computeDalpha
(
Array
<
Real
>
&
d_alpha
,
Array
<
Real
>
&
n_alpha
,
Array
<
Real
>
&
t_alpha
,
Matrix
<
Real
>
&
surface_matrix
,
Real
gap
)
{
}
/* -------------------------------------------------------------------------- */
void
Resolution
::
computeCoordiantes
(
const
Element
&
el
,
Array
<
Real
>
&
coords
)
{
UInt
nb_nodes_per_element
=
Mesh
::
getNbNodesPerElement
(
el
.
type
);
Vector
<
UInt
>
connect
=
model
.
getMesh
().
getConnectivity
(
el
.
type
,
_not_ghost
)
.
begin
(
nb_nodes_per_element
)[
el
.
element
];
for
(
UInt
n
=
0
;
n
<
nb_nodes_per_element
;
++
n
)
{
UInt
node
=
connect
[
n
];
for
(
UInt
s:
arange
(
spatial_dimension
))
{
coords
(
s
,
n
)
=
this
->
positions
(
node
,
s
);
}
}
}
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