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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"
#include "sparse_matrix.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
auto
slave_nodes
=
model
.
getContactDetector
().
getSurfaceSelector
().
getSlaveList
();
this
->
assembleInternalForces
(
slave_nodes
);
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
void
Resolution
::
assembleInternalForces
(
const
Array
<
UInt
>
&
slave_nodes
)
{
AKANTU_DEBUG_IN
();
auto
&
internal_force
=
const_cast
<
Array
<
Real
>
&>
(
model
.
getInternalForce
());
auto
&
nodal_area
=
const_cast
<
Array
<
Real
>
&>
(
model
.
getNodalArea
());
auto
&
contact_map
=
model
.
getContactMap
();
Array
<
Real
>
frequency
(
internal_force
.
size
(),
1
);
for
(
auto
&
slave
:
slave_nodes
)
{
if
(
contact_map
.
find
(
slave
)
==
contact_map
.
end
())
continue
;
auto
&
element
=
contact_map
[
slave
];
const
auto
&
conn
=
element
.
connectivity
;
Vector
<
Real
>
contact_force
(
conn
.
size
()
*
spatial_dimension
);
Vector
<
Real
>
n
(
conn
.
size
()
*
spatial_dimension
);
ResolutionUtils
::
computeN
(
n
,
element
);
computeNormalForce
(
contact_force
,
n
,
element
);
if
(
mu
!=
0
)
{
Array
<
Real
>
t_alpha
(
conn
.
size
()
*
spatial_dimension
,
spatial_dimension
-
1
);
Array
<
Real
>
n_alpha
(
conn
.
size
()
*
spatial_dimension
,
spatial_dimension
-
1
);
Array
<
Real
>
d_alpha
(
conn
.
size
()
*
spatial_dimension
,
spatial_dimension
-
1
);
ResolutionUtils
::
computeTalpha
(
t_alpha
,
element
);
ResolutionUtils
::
computeNalpha
(
n_alpha
,
element
);
ResolutionUtils
::
computeDalpha
(
d_alpha
,
n_alpha
,
t_alpha
,
element
);
computeFrictionalForce
(
contact_force
,
d_alpha
,
element
);
}
ResolutionUtils
::
assembleToInternalForce
(
contact_force
,
internal_force
,
nodal_area
,
element
,
frequency
);
}
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
void
Resolution
::
assembleStiffnessMatrix
(
GhostType
/*ghost_type*/
)
{
AKANTU_DEBUG_IN
();
const
auto
slave_nodes
=
model
.
getContactDetector
().
getSurfaceSelector
().
getSlaveList
();
auto
&
stiffness
=
const_cast
<
SparseMatrix
&>
(
model
.
getDOFManager
().
getMatrix
(
"K"
));
auto
&
nodal_area
=
const_cast
<
Array
<
Real
>
&>
(
model
.
getNodalArea
());
auto
&
contact_map
=
model
.
getContactMap
();
for
(
auto
&
slave
:
slave_nodes
)
{
if
(
contact_map
.
find
(
slave
)
==
contact_map
.
end
())
continue
;
auto
&
element
=
contact_map
[
slave
];
const
auto
&
conn
=
element
.
connectivity
;
Matrix
<
Real
>
kc
(
conn
.
size
()
*
spatial_dimension
,
conn
.
size
()
*
spatial_dimension
);
Matrix
<
Real
>
m_alpha_beta
(
spatial_dimension
-
1
,
spatial_dimension
-
1
);
ResolutionUtils
::
computeMetricTensor
(
m_alpha_beta
,
element
.
tangents
);
// normal tangent moduli
Vector
<
Real
>
n
(
conn
.
size
()
*
spatial_dimension
);
ResolutionUtils
::
computeN
(
n
,
element
);
Array
<
Real
>
t_alpha
(
conn
.
size
()
*
spatial_dimension
,
spatial_dimension
-
1
);
ResolutionUtils
::
computeTalpha
(
t_alpha
,
element
);
Array
<
Real
>
n_alpha
(
conn
.
size
()
*
spatial_dimension
,
spatial_dimension
-
1
);
ResolutionUtils
::
computeNalpha
(
n_alpha
,
element
);
Array
<
Real
>
d_alpha
(
conn
.
size
()
*
spatial_dimension
,
spatial_dimension
-
1
);
ResolutionUtils
::
computeDalpha
(
d_alpha
,
n_alpha
,
t_alpha
,
element
);
computeNormalModuli
(
kc
,
n_alpha
,
d_alpha
,
n
,
element
);
// frictional tangent moduli
if
(
mu
!=
0
)
{
Array
<
Real
>
t_alpha_beta
(
conn
.
size
()
*
spatial_dimension
,
(
spatial_dimension
-
1
)
*
(
spatial_dimension
-
1
));
ResolutionUtils
::
computeTalphabeta
(
t_alpha_beta
,
element
);
Array
<
Real
>
p_alpha
(
conn
.
size
()
*
spatial_dimension
,
spatial_dimension
-
1
);
Array
<
Real
>
n_alpha_beta
(
conn
.
size
()
*
spatial_dimension
,
(
spatial_dimension
-
1
)
*
(
spatial_dimension
-
1
));
computeFrictionalTraction
(
m_alpha_beta
,
element
);
ResolutionUtils
::
computeNalphabeta
(
n_alpha_beta
,
element
);
ResolutionUtils
::
computePalpha
(
p_alpha
,
element
);
auto
phi
=
computeNablaOfDisplacement
(
element
);
computeFrictionalModuli
(
kc
,
t_alpha_beta
,
n_alpha_beta
,
n_alpha
,
d_alpha
,
phi
,
n
,
element
);
}
std
::
vector
<
UInt
>
equations
;
UInt
nb_degree_of_freedom
=
model
.
getSpatialDimension
();
std
::
vector
<
Real
>
areas
;
for
(
UInt
i
:
arange
(
conn
.
size
()))
{
UInt
n
=
conn
[
i
];
for
(
UInt
j
:
arange
(
nb_degree_of_freedom
))
{
equations
.
push_back
(
n
*
nb_degree_of_freedom
+
j
);
areas
.
push_back
(
nodal_area
[
n
]);
}
}
for
(
UInt
i
:
arange
(
kc
.
rows
()))
{
UInt
row
=
equations
[
i
];
for
(
UInt
j
:
arange
(
kc
.
cols
()))
{
UInt
col
=
equations
[
j
];
kc
(
i
,
j
)
*=
areas
[
i
];
stiffness
.
add
(
row
,
col
,
kc
(
i
,
j
));
}
}
}
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
Matrix
<
Real
>
Resolution
::
computeNablaOfDisplacement
(
ContactElement
&
element
)
{
const
auto
&
type
=
element
.
master
.
type
;
const
auto
&
conn
=
element
.
connectivity
;
auto
surface_dimension
=
Mesh
::
getSpatialDimension
(
type
);
auto
spatial_dimension
=
surface_dimension
+
1
;
auto
nb_nodes_per_element
=
Mesh
::
getNbNodesPerElement
(
type
);
Matrix
<
Real
>
values
(
spatial_dimension
,
nb_nodes_per_element
);
auto
&
displacement
=
model
.
getDisplacement
();
for
(
UInt
n
:
arange
(
nb_nodes_per_element
))
{
UInt
node
=
conn
[
n
];
for
(
UInt
s
:
arange
(
spatial_dimension
))
{
values
(
s
,
n
)
=
displacement
(
node
,
s
);
}
}
// Matrix<Real> shape_second_derivatives(surface_dimension *
// surface_dimension, nb_nodes_per_element);
//#define GET_SHAPE_SECOND_DERIVATIVES_NATURAL(type) \
//ElementClass<type>::computeDN2DS2(element.projection, shape_second_derivatives)
// AKANTU_BOOST_ALL_ELEMENT_SWITCH(GET_SHAPE_SECOND_DERIVATIVES_NATURAL);
//#undef GET_SHAPE_SECOND_DERIVATIVES_NATURAL
Matrix
<
Real
>
nabla_u
(
surface_dimension
*
surface_dimension
,
spatial_dimension
);
// nabla_u.mul<false, true>(shape_second_derivatives, values);
return
nabla_u
;
}
}
// namespace akantu
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