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structural_mechanics_model_inline_impl.cc
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rAKA akantu
structural_mechanics_model_inline_impl.cc
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/**
* @file structural_mechanics_model_inline_impl.cc
* @author Fabian Barras <fabian.barras@epfl.ch>
* @date Thu May 5 19:48:07 2011
*
* @brief
*
* @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/>.
*
*/
/* -------------------------------------------------------------------------- */
template
<
ElementType
type
>
inline
UInt
StructuralMechanicsModel
::
getTangentStiffnessVoigtSize
()
{
AKANTU_DEBUG_TO_IMPLEMENT
();
return
0
;
}
template
<>
inline
UInt
StructuralMechanicsModel
::
getTangentStiffnessVoigtSize
<
_bernoulli_beam_2
>
()
{
return
2
;
}
/* -------------------------------------------------------------------------- */
template
<
ElementType
type
>
void
StructuralMechanicsModel
::
assembleStiffnessMatrix
()
{
AKANTU_DEBUG_IN
();
SparseMatrix
&
K
=
*
stiffness_matrix
;
// const Vector<Int> & equation_number = *equation_number;
// const Vector<Real> * shapes_derivatives;
UInt
nb_element
=
getFEM
().
getMesh
().
getNbElement
(
type
);
UInt
nb_nodes_per_element
=
Mesh
::
getNbNodesPerElement
(
type
);
UInt
nb_quadrature_points
=
getFEM
().
getNbQuadraturePoints
(
type
);
UInt
tangent_size
=
getTangentStiffnessVoigtSize
<
type
>
();
Vector
<
Real
>
*
tangent_stiffness_matrix
=
new
Vector
<
Real
>
(
nb_element
*
nb_quadrature_points
,
tangent_size
*
tangent_size
,
"tangent_stiffness_matrix"
);
computeTangentStiffness
<
type
>
(
*
tangent_stiffness_matrix
);
/// compute @f$\mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
UInt
bt_d_b_size
=
nb_degre_of_freedom
*
nb_nodes_per_element
;
Vector
<
Real
>
*
bt_d_b
=
new
Vector
<
Real
>
(
nb_element
*
nb_quadrature_points
,
bt_d_b_size
*
bt_d_b_size
,
"B^t*D*B"
);
Vector
<
Real
>
*
b
=
new
Vector
<
Real
>
(
nb_element
*
nb_quadrature_points
,
tangent_size
*
bt_d_b_size
,
"B"
);
transferBMatrixToSymVoigtBMatrix
<
type
>
(
*
b
);
types
::
Matrix
Bt_D
(
bt_d_b_size
,
tangent_size
);
Vector
<
Real
>::
iterator
<
types
::
Matrix
>
B
=
b
->
begin
(
tangent_size
,
bt_d_b_size
);
Vector
<
Real
>::
iterator
<
types
::
Matrix
>
D
=
tangent_stiffness_matrix
->
begin
(
tangent_size
,
tangent_size
);
Vector
<
Real
>::
iterator
<
types
::
Matrix
>
Bt_D_B
=
bt_d_b
->
begin
(
bt_d_b_size
,
bt_d_b_size
);
for
(
UInt
e
=
0
;
e
<
nb_element
;
++
e
)
{
for
(
UInt
q
=
0
;
q
<
nb_quadrature_points
;
++
q
)
{
Bt_D
.
mul
<
true
,
false
>
(
*
B
,
*
D
);
Bt_D_B
->
mul
<
false
,
false
>
(
Bt_D
,
*
B
);
++
B
;
++
D
;
++
Bt_D_B
;
}
}
delete
b
;
delete
tangent_stiffness_matrix
;
/// compute @f$ k_e = \int_e \mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
Vector
<
Real
>
*
int_bt_d_b
=
new
Vector
<
Real
>
(
nb_element
,
bt_d_b_size
*
bt_d_b_size
,
"int_B^t*D*B"
);
getFEM
().
integrate
(
*
bt_d_b
,
*
int_bt_d_b
,
bt_d_b_size
*
bt_d_b_size
,
type
);
delete
bt_d_b
;
getFEM
().
assembleMatrix
(
*
int_bt_d_b
,
K
,
nb_degre_of_freedom
,
type
);
delete
int_bt_d_b
;
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
ElementType
type
>
void
StructuralMechanicsModel
::
computeTangentStiffness
(
Vector
<
Real
>
&
tangent_stiffness_matrix
)
{
AKANTU_DEBUG_TO_IMPLEMENT
();
}
/* -------------------------------------------------------------------------- */
template
<
ElementType
type
>
void
StructuralMechanicsModel
::
transferBMatrixToSymVoigtBMatrix
(
Vector
<
Real
>
&
b
)
{
AKANTU_DEBUG_TO_IMPLEMENT
();
}
/* -------------------------------------------------------------------------- */
template
<
ElementType
type
>
void
StructuralMechanicsModel
::
computeStressOnQuad
()
{
AKANTU_DEBUG_IN
();
Vector
<
Real
>
&
sigma
=
stress
(
type
,
_not_ghost
);
sigma
.
clear
();
UInt
nb_element
=
getFEM
().
getMesh
().
getNbElement
(
type
);
UInt
nb_nodes_per_element
=
Mesh
::
getNbNodesPerElement
(
type
);
UInt
nb_quadrature_points
=
getFEM
().
getNbQuadraturePoints
(
type
);
const
Vector
<
UInt
>
&
connect
=
getFEM
().
getMesh
().
getConnectivity
(
type
);
UInt
tangent_size
=
getTangentStiffnessVoigtSize
<
type
>
();
Vector
<
Real
>
*
tangent_stiffness_matrix
=
new
Vector
<
Real
>
(
nb_element
*
nb_quadrature_points
,
tangent_size
*
tangent_size
,
"tangent_stiffness_matrix"
);
computeTangentStiffness
<
type
>
(
*
tangent_stiffness_matrix
);
/// compute DB
UInt
d_b_size
=
nb_degre_of_freedom
*
nb_nodes_per_element
;
Vector
<
Real
>
*
d_b
=
new
Vector
<
Real
>
(
nb_element
*
nb_quadrature_points
,
d_b_size
*
tangent_size
,
"D*B"
);
Vector
<
Real
>
*
b
=
new
Vector
<
Real
>
(
nb_element
*
nb_quadrature_points
,
tangent_size
*
d_b_size
,
"B"
);
transferBMatrixToSymVoigtBMatrix
<
type
>
(
*
b
);
Vector
<
Real
>::
iterator
<
types
::
Matrix
>
B
=
b
->
begin
(
tangent_size
,
d_b_size
);
Vector
<
Real
>::
iterator
<
types
::
Matrix
>
D
=
tangent_stiffness_matrix
->
begin
(
tangent_size
,
tangent_size
);
Vector
<
Real
>::
iterator
<
types
::
Matrix
>
D_B
=
d_b
->
begin
(
tangent_size
,
d_b_size
);
for
(
UInt
e
=
0
;
e
<
nb_element
;
++
e
)
{
for
(
UInt
q
=
0
;
q
<
nb_quadrature_points
;
++
q
)
{
D_B
->
mul
<
false
,
false
>
(
*
D
,
*
B
);
++
B
;
++
D
;
++
D_B
;
}
}
delete
b
;
delete
tangent_stiffness_matrix
;
/// compute DBu
D_B
=
d_b
->
begin
(
tangent_size
,
d_b_size
);
Vector
<
Real
>::
iterator
<
types
::
RVector
>
DBu
=
sigma
.
begin
(
tangent_size
);
types
::
RVector
U
(
d_b_size
);
for
(
UInt
e
=
0
;
e
<
nb_element
;
++
e
)
{
for
(
UInt
n
=
0
;
n
<
nb_nodes_per_element
;
++
n
)
{
memcpy
(
U
.
storage
()
+
n
*
nb_degre_of_freedom
,
displacement_rotation
->
values
+
connect
(
e
,
n
)
*
nb_degre_of_freedom
,
nb_degre_of_freedom
*
sizeof
(
Real
));
}
for
(
UInt
q
=
0
;
q
<
nb_quadrature_points
;
++
q
)
{
DBu
->
mul
<
false
>
(
*
D_B
,
U
);
++
D_B
;
++
DBu
;
}
}
delete
d_b
;
AKANTU_DEBUG_OUT
();
}
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