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rAKA akantu
structural_mechanics_model_inline_impl.cc
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/**
* @file structural_mechanics_model_inline_impl.cc
*
* @author Sébastien Hartmann <sebastien.hartmann@epfl.ch>
* @author Damien Spielmann <damien.spielmann@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Fabian Barras <fabian.barras@epfl.ch>
*
* @date creation: Fri Jul 15 2011
* @date last modification: Tue Sep 02 2014
*
* @brief Implementation of inline functions of StructuralMechanicsModel
*
* @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/>.
*
*/
/* -------------------------------------------------------------------------- */
template
<
ElementType
type
>
inline
UInt
StructuralMechanicsModel
::
getTangentStiffnessVoigtSize
()
{
AKANTU_DEBUG_TO_IMPLEMENT
();
return
0
;
}
template
<>
inline
UInt
StructuralMechanicsModel
::
getTangentStiffnessVoigtSize
<
_bernoulli_beam_2
>
()
{
return
2
;
}
template
<>
inline
UInt
StructuralMechanicsModel
::
getTangentStiffnessVoigtSize
<
_bernoulli_beam_3
>
()
{
return
4
;
}
/* -------------------------------------------------------------------------- */
template
<>
inline
UInt
StructuralMechanicsModel
::
getTangentStiffnessVoigtSize
<
_kirchhoff_shell
>
()
{
return
6
;
}
/* -------------------------------------------------------------------------- */
template
<
ElementType
type
>
void
StructuralMechanicsModel
::
assembleStiffnessMatrix
()
{
AKANTU_DEBUG_IN
();
SparseMatrix
&
K
=
*
stiffness_matrix
;
UInt
nb_element
=
getFEEngine
().
getMesh
().
getNbElement
(
type
);
UInt
nb_nodes_per_element
=
Mesh
::
getNbNodesPerElement
(
type
);
UInt
nb_quadrature_points
=
getFEEngine
().
getNbQuadraturePoints
(
type
);
UInt
tangent_size
=
getTangentStiffnessVoigtSize
<
type
>
();
Array
<
Real
>
*
tangent_moduli
=
new
Array
<
Real
>
(
nb_element
*
nb_quadrature_points
,
tangent_size
*
tangent_size
,
"tangent_stiffness_matrix"
);
tangent_moduli
->
clear
();
computeTangentModuli
<
type
>
(
*
tangent_moduli
);
/// compute @f$\mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
UInt
bt_d_b_size
=
nb_degree_of_freedom
*
nb_nodes_per_element
;
Array
<
Real
>
*
bt_d_b
=
new
Array
<
Real
>
(
nb_element
*
nb_quadrature_points
,
bt_d_b_size
*
bt_d_b_size
,
"B^t*D*B"
);
Array
<
Real
>
*
b
=
new
Array
<
Real
>
(
nb_element
*
nb_quadrature_points
,
tangent_size
*
bt_d_b_size
,
"B"
);
transferBMatrixToSymVoigtBMatrix
<
type
>
(
*
b
);
Matrix
<
Real
>
Bt_D
(
bt_d_b_size
,
tangent_size
);
Matrix
<
Real
>
BT
(
tangent_size
,
bt_d_b_size
);
Array
<
Real
>::
matrix_iterator
B
=
b
->
begin
(
tangent_size
,
bt_d_b_size
);
Array
<
Real
>::
matrix_iterator
D
=
tangent_moduli
->
begin
(
tangent_size
,
tangent_size
);
Array
<
Real
>::
matrix_iterator
Bt_D_B
=
bt_d_b
->
begin
(
bt_d_b_size
,
bt_d_b_size
);
Array
<
Real
>::
matrix_iterator
T
=
rotation_matrix
(
type
).
begin
(
bt_d_b_size
,
bt_d_b_size
);
for
(
UInt
e
=
0
;
e
<
nb_element
;
++
e
,
++
T
)
{
for
(
UInt
q
=
0
;
q
<
nb_quadrature_points
;
++
q
,
++
B
,
++
D
,
++
Bt_D_B
)
{
BT
.
mul
<
false
,
false
>
(
*
B
,
*
T
);
Bt_D
.
mul
<
true
,
false
>
(
BT
,
*
D
);
Bt_D_B
->
mul
<
false
,
false
>
(
Bt_D
,
BT
);
}
}
delete
b
;
delete
tangent_moduli
;
/// compute @f$ k_e = \int_e \mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
Array
<
Real
>
*
int_bt_d_b
=
new
Array
<
Real
>
(
nb_element
,
bt_d_b_size
*
bt_d_b_size
,
"int_B^t*D*B"
);
getFEEngine
().
integrate
(
*
bt_d_b
,
*
int_bt_d_b
,
bt_d_b_size
*
bt_d_b_size
,
type
);
delete
bt_d_b
;
getFEEngine
().
assembleMatrix
(
*
int_bt_d_b
,
K
,
nb_degree_of_freedom
,
type
);
delete
int_bt_d_b
;
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
ElementType
type
>
void
StructuralMechanicsModel
::
computeTangentModuli
(
Array
<
Real
>
&
tangent_moduli
)
{
AKANTU_DEBUG_TO_IMPLEMENT
();
}
/* -------------------------------------------------------------------------- */
template
<
ElementType
type
>
void
StructuralMechanicsModel
::
transferBMatrixToSymVoigtBMatrix
(
Array
<
Real
>
&
b
,
bool
local
)
{
AKANTU_DEBUG_TO_IMPLEMENT
();
}
/* -------------------------------------------------------------------------- */
template
<
ElementType
type
>
void
StructuralMechanicsModel
::
computeStressOnQuad
()
{
AKANTU_DEBUG_IN
();
Array
<
Real
>
&
sigma
=
stress
(
type
,
_not_ghost
);
sigma
.
clear
();
const
Mesh
&
mesh
=
getFEEngine
().
getMesh
();
UInt
nb_element
=
mesh
.
getNbElement
(
type
);
UInt
nb_nodes_per_element
=
Mesh
::
getNbNodesPerElement
(
type
);
UInt
nb_quadrature_points
=
getFEEngine
().
getNbQuadraturePoints
(
type
);
UInt
tangent_size
=
getTangentStiffnessVoigtSize
<
type
>
();
Array
<
Real
>
*
tangent_moduli
=
new
Array
<
Real
>
(
nb_element
*
nb_quadrature_points
,
tangent_size
*
tangent_size
,
"tangent_stiffness_matrix"
);
tangent_moduli
->
clear
();
computeTangentModuli
<
type
>
(
*
tangent_moduli
);
/// compute DB
UInt
d_b_size
=
nb_degree_of_freedom
*
nb_nodes_per_element
;
Array
<
Real
>
*
d_b
=
new
Array
<
Real
>
(
nb_element
*
nb_quadrature_points
,
d_b_size
*
tangent_size
,
"D*B"
);
Array
<
Real
>
*
b
=
new
Array
<
Real
>
(
nb_element
*
nb_quadrature_points
,
tangent_size
*
d_b_size
,
"B"
);
transferBMatrixToSymVoigtBMatrix
<
type
>
(
*
b
);
Array
<
Real
>::
matrix_iterator
B
=
b
->
begin
(
tangent_size
,
d_b_size
);
Array
<
Real
>::
matrix_iterator
D
=
tangent_moduli
->
begin
(
tangent_size
,
tangent_size
);
Array
<
Real
>::
matrix_iterator
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
,
++
B
,
++
D
,
++
D_B
)
{
D_B
->
mul
<
false
,
false
>
(
*
D
,
*
B
);
}
}
delete
b
;
delete
tangent_moduli
;
/// compute DBu
D_B
=
d_b
->
begin
(
tangent_size
,
d_b_size
);
Array
<
Real
>::
iterator
<
Vector
<
Real
>
>
DBu
=
sigma
.
begin
(
tangent_size
);
Vector
<
Real
>
ul
(
d_b_size
);
Array
<
Real
>
u_el
(
0
,
d_b_size
);
FEEngine
::
extractNodalToElementField
(
mesh
,
*
displacement_rotation
,
u_el
,
type
);
Array
<
Real
>::
vector_iterator
ug
=
u_el
.
begin
(
d_b_size
);
Array
<
Real
>::
matrix_iterator
T
=
rotation_matrix
(
type
).
begin
(
d_b_size
,
d_b_size
);
for
(
UInt
e
=
0
;
e
<
nb_element
;
++
e
,
++
T
,
++
ug
)
{
ul
.
mul
<
false
>
(
*
T
,
*
ug
);
for
(
UInt
q
=
0
;
q
<
nb_quadrature_points
;
++
q
,
++
D_B
,
++
DBu
)
{
DBu
->
mul
<
false
>
(
*
D_B
,
ul
);
}
}
delete
d_b
;
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
ElementType
type
>
void
StructuralMechanicsModel
::
computeForcesByLocalTractionArray
(
const
Array
<
Real
>
&
tractions
)
{
AKANTU_DEBUG_IN
();
UInt
nb_element
=
getFEEngine
().
getMesh
().
getNbElement
(
type
);
UInt
nb_nodes_per_element
=
getFEEngine
().
getMesh
().
getNbNodesPerElement
(
type
);
UInt
nb_quad
=
getFEEngine
().
getNbQuadraturePoints
(
type
);
// check dimension match
AKANTU_DEBUG_ASSERT
(
Mesh
::
getSpatialDimension
(
type
)
==
getFEEngine
().
getElementDimension
(),
"element type dimension does not match the dimension of boundaries : "
<<
getFEEngine
().
getElementDimension
()
<<
" != "
<<
Mesh
::
getSpatialDimension
(
type
));
// check size of the vector
AKANTU_DEBUG_ASSERT
(
tractions
.
getSize
()
==
nb_quad
*
nb_element
,
"the size of the vector should be the total number of quadrature points"
);
// check number of components
AKANTU_DEBUG_ASSERT
(
tractions
.
getNbComponent
()
==
nb_degree_of_freedom
,
"the number of components should be the spatial dimension of the problem"
);
Array
<
Real
>
Nvoigt
(
nb_element
*
nb_quad
,
nb_degree_of_freedom
*
nb_degree_of_freedom
*
nb_nodes_per_element
);
transferNMatrixToSymVoigtNMatrix
<
type
>
(
Nvoigt
);
Array
<
Real
>::
const_matrix_iterator
N_it
=
Nvoigt
.
begin
(
nb_degree_of_freedom
,
nb_degree_of_freedom
*
nb_nodes_per_element
);
Array
<
Real
>::
const_matrix_iterator
T_it
=
rotation_matrix
(
type
).
begin
(
nb_degree_of_freedom
*
nb_nodes_per_element
,
nb_degree_of_freedom
*
nb_nodes_per_element
);
Array
<
Real
>::
const_vector_iterator
te_it
=
tractions
.
begin
(
nb_degree_of_freedom
);
Array
<
Real
>
funct
(
nb_element
*
nb_quad
,
nb_degree_of_freedom
*
nb_nodes_per_element
,
0.
);
Array
<
Real
>::
iterator
<
Vector
<
Real
>
>
Fe_it
=
funct
.
begin
(
nb_degree_of_freedom
*
nb_nodes_per_element
);
Vector
<
Real
>
fe
(
nb_degree_of_freedom
*
nb_nodes_per_element
);
for
(
UInt
e
=
0
;
e
<
nb_element
;
++
e
,
++
T_it
)
{
const
Matrix
<
Real
>
&
T
=
*
T_it
;
for
(
UInt
q
=
0
;
q
<
nb_quad
;
++
q
,
++
N_it
,
++
te_it
,
++
Fe_it
)
{
const
Matrix
<
Real
>
&
N
=
*
N_it
;
const
Vector
<
Real
>
&
te
=
*
te_it
;
Vector
<
Real
>
&
Fe
=
*
Fe_it
;
// compute N^t tl
fe
.
mul
<
true
>
(
N
,
te
);
// turn N^t tl back in the global referential
Fe
.
mul
<
true
>
(
T
,
fe
);
}
}
// allocate the vector that will contain the integrated values
std
::
stringstream
name
;
name
<<
id
<<
type
<<
":integral_boundary"
;
Array
<
Real
>
int_funct
(
nb_element
,
nb_degree_of_freedom
*
nb_nodes_per_element
,
name
.
str
());
//do the integration
getFEEngine
().
integrate
(
funct
,
int_funct
,
nb_degree_of_freedom
*
nb_nodes_per_element
,
type
);
// assemble the result into force vector
getFEEngine
().
assembleArray
(
int_funct
,
*
force_momentum
,
dof_synchronizer
->
getLocalDOFEquationNumbers
(),
nb_degree_of_freedom
,
type
);
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<
ElementType
type
>
void
StructuralMechanicsModel
::
computeForcesByGlobalTractionArray
(
const
Array
<
Real
>
&
traction_global
){
AKANTU_DEBUG_IN
();
UInt
nb_element
=
getFEEngine
().
getMesh
().
getNbElement
(
type
);
UInt
nb_quad
=
getFEEngine
().
getNbQuadraturePoints
(
type
);
UInt
nb_nodes_per_element
=
getFEEngine
().
getMesh
().
getNbNodesPerElement
(
type
);
std
::
stringstream
name
;
name
<<
id
<<
":structuralmechanics:imposed_linear_load"
;
Array
<
Real
>
traction_local
(
nb_element
*
nb_quad
,
nb_degree_of_freedom
,
name
.
str
());
Array
<
Real
>::
const_matrix_iterator
T_it
=
rotation_matrix
(
type
).
begin
(
nb_degree_of_freedom
*
nb_nodes_per_element
,
nb_degree_of_freedom
*
nb_nodes_per_element
);
Array
<
Real
>::
const_iterator
<
Vector
<
Real
>
>
Te_it
=
traction_global
.
begin
(
nb_degree_of_freedom
);
Array
<
Real
>::
iterator
<
Vector
<
Real
>
>
te_it
=
traction_local
.
begin
(
nb_degree_of_freedom
);
Matrix
<
Real
>
R
(
nb_degree_of_freedom
,
nb_degree_of_freedom
);
for
(
UInt
e
=
0
;
e
<
nb_element
;
++
e
,
++
T_it
)
{
const
Matrix
<
Real
>
&
T
=
*
T_it
;
for
(
UInt
i
=
0
;
i
<
nb_degree_of_freedom
;
++
i
)
for
(
UInt
j
=
0
;
j
<
nb_degree_of_freedom
;
++
j
)
R
(
i
,
j
)
=
T
(
i
,
j
);
for
(
UInt
q
=
0
;
q
<
nb_quad
;
++
q
,
++
Te_it
,
++
te_it
)
{
const
Vector
<
Real
>
&
Te
=
*
Te_it
;
Vector
<
Real
>
&
te
=
*
te_it
;
// turn the traction in the local referential
te
.
mul
<
false
>
(
R
,
Te
);
}
}
computeForcesByLocalTractionArray
<
type
>
(
traction_local
);
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
/**
* @param myf pointer to a function that fills a vector/tensor with respect to
* passed coordinates
*/
template
<
ElementType
type
>
inline
void
StructuralMechanicsModel
::
computeForcesFromFunction
(
BoundaryFunction
myf
,
BoundaryFunctionType
function_type
){
/** function type is
** _bft_forces : linear load is given
** _bft_stress : stress function is given -> Not already done for this kind of model
*/
std
::
stringstream
name
;
name
<<
id
<<
":structuralmechanics:imposed_linear_load"
;
Array
<
Real
>
lin_load
(
0
,
nb_degree_of_freedom
,
name
.
str
());
name
.
clear
();
UInt
offset
=
nb_degree_of_freedom
;
//prepare the loop over element types
UInt
nb_quad
=
getFEEngine
().
getNbQuadraturePoints
(
type
);
UInt
nb_element
=
getFEEngine
().
getMesh
().
getNbElement
(
type
);
name
.
clear
();
name
<<
id
<<
":structuralmechanics:quad_coords"
;
Array
<
Real
>
quad_coords
(
nb_element
*
nb_quad
,
spatial_dimension
,
"quad_coords"
);
getFEEngineClass
<
MyFEEngineType
>
().
getShapeFunctions
().
interpolateOnControlPoints
<
type
>
(
getFEEngine
().
getMesh
().
getNodes
(),
quad_coords
,
spatial_dimension
);
getFEEngineClass
<
MyFEEngineType
>
().
getShapeFunctions
().
interpolateOnControlPoints
<
type
>
(
getFEEngine
().
getMesh
().
getNodes
(),
quad_coords
,
spatial_dimension
,
_not_ghost
,
empty_filter
,
true
,
0
,
1
,
1
);
if
(
spatial_dimension
==
3
)
getFEEngineClass
<
MyFEEngineType
>
().
getShapeFunctions
().
interpolateOnControlPoints
<
type
>
(
getFEEngine
().
getMesh
().
getNodes
(),
quad_coords
,
spatial_dimension
,
_not_ghost
,
empty_filter
,
true
,
0
,
2
,
2
);
lin_load
.
resize
(
nb_element
*
nb_quad
);
Real
*
imposed_val
=
lin_load
.
storage
();
/// sigma/load on each quadrature points
Real
*
qcoord
=
quad_coords
.
storage
();
for
(
UInt
el
=
0
;
el
<
nb_element
;
++
el
)
{
for
(
UInt
q
=
0
;
q
<
nb_quad
;
++
q
)
{
myf
(
qcoord
,
imposed_val
,
NULL
,
0
);
imposed_val
+=
offset
;
qcoord
+=
spatial_dimension
;
}
}
switch
(
function_type
)
{
case
_bft_traction_local:
computeForcesByLocalTractionArray
<
type
>
(
lin_load
);
break
;
case
_bft_traction:
computeForcesByGlobalTractionArray
<
type
>
(
lin_load
);
break
;
default
:
break
;
}
}
/* -------------------------------------------------------------------------- */
template
<>
inline
void
StructuralMechanicsModel
::
assembleMass
<
_bernoulli_beam_2
>
()
{
AKANTU_DEBUG_IN
();
GhostType
ghost_type
=
_not_ghost
;
ElementType
type
=
_bernoulli_beam_2
;
MyFEEngineType
&
fem
=
getFEEngineClass
<
MyFEEngineType
>
();
UInt
nb_element
=
getFEEngine
().
getMesh
().
getNbElement
(
type
);
UInt
nb_nodes_per_element
=
Mesh
::
getNbNodesPerElement
(
type
);
UInt
nb_quadrature_points
=
getFEEngine
().
getNbQuadraturePoints
(
type
);
UInt
nb_fields_to_interpolate
=
getTangentStiffnessVoigtSize
<
_bernoulli_beam_2
>
();
UInt
nt_n_field_size
=
nb_degree_of_freedom
*
nb_nodes_per_element
;
Array
<
Real
>
*
n
=
new
Array
<
Real
>
(
nb_element
*
nb_quadrature_points
,
nb_fields_to_interpolate
*
nt_n_field_size
,
"N"
);
n
->
clear
();
Array
<
Real
>
*
rho_field
=
new
Array
<
Real
>
(
nb_element
*
nb_quadrature_points
,
"Rho"
);
rho_field
->
clear
();
computeRho
(
*
rho_field
,
type
,
_not_ghost
);
bool
sign
=
true
;
/* -------------------------------------------------------------------------- */
fem
.
computeShapesMatrix
(
type
,
nb_degree_of_freedom
,
nb_nodes_per_element
,
n
,
0
,
0
,
0
,
sign
,
ghost_type
);
// Ni ui -> u
fem
.
computeShapesMatrix
(
type
,
nb_degree_of_freedom
,
nb_nodes_per_element
,
n
,
1
,
1
,
1
,
sign
,
ghost_type
);
// Mi vi -> v
fem
.
computeShapesMatrix
(
type
,
nb_degree_of_freedom
,
nb_nodes_per_element
,
n
,
2
,
2
,
1
,
sign
,
ghost_type
);
// Li Theta_i -> v
/* -------------------------------------------------------------------------- */
fem
.
assembleFieldMatrix
(
*
rho_field
,
nb_degree_of_freedom
,
*
mass_matrix
,
n
,
rotation_matrix
,
type
,
ghost_type
);
delete
n
;
delete
rho_field
;
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<>
inline
void
StructuralMechanicsModel
::
assembleMass
<
_bernoulli_beam_3
>
()
{
AKANTU_DEBUG_IN
();
GhostType
ghost_type
=
_not_ghost
;
ElementType
type
=
_bernoulli_beam_3
;
MyFEEngineType
&
fem
=
getFEEngineClass
<
MyFEEngineType
>
();
UInt
nb_element
=
getFEEngine
().
getMesh
().
getNbElement
(
type
);
UInt
nb_nodes_per_element
=
Mesh
::
getNbNodesPerElement
(
type
);
UInt
nb_quadrature_points
=
getFEEngine
().
getNbQuadraturePoints
(
type
);
UInt
nb_fields_to_interpolate
=
getTangentStiffnessVoigtSize
<
_bernoulli_beam_3
>
();
UInt
nt_n_field_size
=
nb_degree_of_freedom
*
nb_nodes_per_element
;
Array
<
Real
>
*
n
=
new
Array
<
Real
>
(
nb_element
*
nb_quadrature_points
,
nb_fields_to_interpolate
*
nt_n_field_size
,
"N"
);
n
->
clear
();
Array
<
Real
>
*
rho_field
=
new
Array
<
Real
>
(
nb_element
*
nb_quadrature_points
,
"Rho"
);
rho_field
->
clear
();
computeRho
(
*
rho_field
,
type
,
_not_ghost
);
/* -------------------------------------------------------------------------- */
fem
.
computeShapesMatrix
(
type
,
nb_degree_of_freedom
,
nb_nodes_per_element
,
n
,
0
,
0
,
0
,
true
,
ghost_type
);
// Ni ui -> u
fem
.
computeShapesMatrix
(
type
,
nb_degree_of_freedom
,
nb_nodes_per_element
,
n
,
1
,
1
,
1
,
true
,
ghost_type
);
// Mi vi -> v
fem
.
computeShapesMatrix
(
type
,
nb_degree_of_freedom
,
nb_nodes_per_element
,
n
,
2
,
5
,
1
,
true
,
ghost_type
);
// Li Theta_z_i -> v
fem
.
computeShapesMatrix
(
type
,
nb_degree_of_freedom
,
nb_nodes_per_element
,
n
,
1
,
2
,
2
,
true
,
ghost_type
);
// Mi wi -> w
fem
.
computeShapesMatrix
(
type
,
nb_degree_of_freedom
,
nb_nodes_per_element
,
n
,
2
,
4
,
2
,
false
,
ghost_type
);
// -Li Theta_y_i -> w
fem
.
computeShapesMatrix
(
type
,
nb_degree_of_freedom
,
nb_nodes_per_element
,
n
,
0
,
3
,
3
,
true
,
ghost_type
);
// Ni Theta_x_i->Theta_x
/* -------------------------------------------------------------------------- */
fem
.
assembleFieldMatrix
(
*
rho_field
,
nb_degree_of_freedom
,
*
mass_matrix
,
n
,
rotation_matrix
,
type
,
ghost_type
);
delete
n
;
delete
rho_field
;
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
template
<>
inline
void
StructuralMechanicsModel
::
assembleMass
<
_kirchhoff_shell
>
()
{
AKANTU_DEBUG_TO_IMPLEMENT
();
}
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
template
<
SolveConvergenceMethod
cmethod
,
SolveConvergenceCriteria
criteria
>
bool
StructuralMechanicsModel
::
solveStep
(
Real
tolerance
,
UInt
max_iteration
)
{
Real
error
=
0.
;
return
this
->
template
solveStep
<
cmethod
,
criteria
>
(
tolerance
,
error
,
max_iteration
);
}
/* -------------------------------------------------------------------------- */
template
<
SolveConvergenceMethod
cmethod
,
SolveConvergenceCriteria
criteria
>
bool
StructuralMechanicsModel
::
solveStep
(
Real
tolerance
,
Real
&
error
,
UInt
max_iteration
)
{
this
->
implicitPred
();
this
->
updateResidual
();
AKANTU_DEBUG_ASSERT
(
stiffness_matrix
!=
NULL
,
"You should first initialize the implicit solver and assemble the stiffness matrix"
);
if
(
method
==
_implicit_dynamic
)
{
AKANTU_DEBUG_ASSERT
(
mass_matrix
!=
NULL
,
"You should first initialize the implicit solver and assemble the mass matrix"
);
}
switch
(
cmethod
)
{
case
_scm_newton_raphson_tangent:
case
_scm_newton_raphson_tangent_not_computed:
break
;
case
_scm_newton_raphson_tangent_modified:
this
->
assembleStiffnessMatrix
();
break
;
default
:
AKANTU_DEBUG_ERROR
(
"The resolution method "
<<
cmethod
<<
" has not been implemented!"
);
}
UInt
iter
=
0
;
bool
converged
=
false
;
error
=
0.
;
if
(
criteria
==
_scc_residual
)
{
converged
=
this
->
testConvergence
<
criteria
>
(
tolerance
,
error
);
if
(
converged
)
return
converged
;
}
do
{
if
(
cmethod
==
_scm_newton_raphson_tangent
)
this
->
assembleStiffnessMatrix
();
solve
<
NewmarkBeta
::
_displacement_corrector
>
(
*
increment
);
this
->
implicitCorr
();
if
(
criteria
==
_scc_residual
)
this
->
updateResidual
();
converged
=
this
->
testConvergence
<
criteria
>
(
tolerance
,
error
);
if
(
criteria
==
_scc_increment
&&
!
converged
)
this
->
updateResidual
();
//this->dump();
iter
++
;
AKANTU_DEBUG_INFO
(
"["
<<
criteria
<<
"] Convergence iteration "
<<
std
::
setw
(
std
::
log10
(
max_iteration
))
<<
iter
<<
": error "
<<
error
<<
(
converged
?
" < "
:
" > "
)
<<
tolerance
);
}
while
(
!
converged
&&
iter
<
max_iteration
);
if
(
converged
)
{
}
else
if
(
iter
==
max_iteration
)
{
AKANTU_DEBUG_WARNING
(
"["
<<
criteria
<<
"] Convergence not reached after "
<<
std
::
setw
(
std
::
log10
(
max_iteration
))
<<
iter
<<
" iteration"
<<
(
iter
==
1
?
""
:
"s"
)
<<
"!"
<<
std
::
endl
);
}
return
converged
;
}
/* -------------------------------------------------------------------------- */
template
<
NewmarkBeta
::
IntegrationSchemeCorrectorType
type
>
void
StructuralMechanicsModel
::
solve
(
Array
<
Real
>
&
increment
,
Real
block_val
)
{
jacobian_matrix
->
clear
();
//updateResidualInternal(); //doesn't do anything for static
Real
c
=
0.
,
d
=
0.
,
e
=
0.
;
if
(
method
==
_static
)
{
AKANTU_DEBUG_INFO
(
"Solving K inc = r"
);
e
=
1.
;
}
else
{
AKANTU_DEBUG_INFO
(
"Solving (c M + d C + e K) inc = r"
);
NewmarkBeta
*
nmb_int
=
dynamic_cast
<
NewmarkBeta
*>
(
integrator
);
c
=
nmb_int
->
getAccelerationCoefficient
<
type
>
(
time_step
);
d
=
nmb_int
->
getVelocityCoefficient
<
type
>
(
time_step
);
e
=
nmb_int
->
getDisplacementCoefficient
<
type
>
(
time_step
);
}
// J = c M + d C + e K
if
(
stiffness_matrix
)
jacobian_matrix
->
add
(
*
stiffness_matrix
,
e
);
// if(type != NewmarkBeta::_acceleration_corrector)
// jacobian_matrix->add(*stiffness_matrix, e);
if
(
mass_matrix
)
jacobian_matrix
->
add
(
*
mass_matrix
,
c
);
#if !defined(AKANTU_NDEBUG)
if
(
mass_matrix
&&
AKANTU_DEBUG_TEST
(
dblDump
))
mass_matrix
->
saveMatrix
(
"M.mtx"
);
#endif
if
(
velocity_damping_matrix
)
jacobian_matrix
->
add
(
*
velocity_damping_matrix
,
d
);
jacobian_matrix
->
applyBoundary
(
*
blocked_dofs
);
#if !defined(AKANTU_NDEBUG)
if
(
AKANTU_DEBUG_TEST
(
dblDump
))
jacobian_matrix
->
saveMatrix
(
"J.mtx"
);
#endif
solver
->
setRHS
(
*
residual
);
// solve @f[ J \delta w = r @f]
solver
->
factorize
();
solver
->
solve
(
increment
);
}
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