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Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
1/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Organization (S):
EDF-R & D/AMA















Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
Document: V3.03.114



SSLS114 - Not regression on quarter of ring
cylindrical



Summary:

It is about a test of mechanics in linear statics.

The goal is to test the setting under pressure of a cylindrical quarter of binding ring with the elements of hull and of
plate.
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Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
2/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
1
Problem of reference
1.1
Properties of materials
E = 200.000 MPa
= 0.3
3
/
.
1234
m
kg
=
for modelings I, J and K.

1.2 Characteristics
geometrical
One notes:
·
R
1
0 975
=
.
m
the interior radius of the cylinder;
·
R
2
1025
=
.
m
the radius external of the cylinder;
·
R
= 1 m the average radius of the cylinder equal to the half the sum of the two preceding radii;
·
E
=
0 05
.
m
the radial thickness of the cylinder;
·
H
=
0 5
. m
the height of the cylinder.

1.3
Boundary conditions and loadings mechanical
Conditions of Dirichlet
DDL_IMPO
, the locked nodes depend on modeling.
pressure on the elements of hull and plate: P = 10 MPa on the cylinder
PRES_REP
FORCE_COQUE
(real or given by a function)
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Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
3/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
2
Reference solution
Analytical solution.

2.1
Results of reference
Displacement of the average layer
Stresses of the average layer, layers superior and inferior.
In modelings I, J and K, one calculates the mass, the co-ordinates of the center of gravity and them
terms of the matrix of inertia. The analytical expressions are given in documentation
[R3.07.02].

2.1.1 Method of calculation used for the reference solution in displacements and
stresses
Into incompressible:
(
)
(
)
U
B
R
U
U
B
E
P has B
B
has
R
Z
=
=
=



=
+
-
0
1
2
2
2
2
with

rr
R
zz
B
R
B
R
= -
= +
=
=





2
2
0
J
P
has
B
has
B
R
J
P
has
B
has
B
R
P
has
B
has
rr
R
zz
=
-
-




=
-
+




=
=
-









2
2
2
2
2
2
2
2
2
2
2
2
2
1
1
0
2
Passage in the Cartesian system:
(
)
xx
rr
R
yy
rr
R
xy
rr
R
N
=
+
-
=
+
+
=
-
-
cos
sin
sin cos
if
cos
sin cos
sin cos
sin cos
cos
sin
2
2
2
2
2
2
2
2
2
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Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
4/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
2.1.2 Determination of the masses, center of gravity and tensor of inertia
For modeling I of hull type of revolution around an axis OZ
·
the mass is worth:
M
H R
R
heR
=
-
=
(
)
2
2
1
2
2
;
·
the co-ordinates of the center of gravity are:
X
y
Z
H
G
G
G




=




0
0
2
/
;

·
the tensor of inertia compared to O is worth:
I
I
I
I
I
I
I
I
I
MR.
E
R
M H
MR.
E
R
M H
MR.
E
R
xx
xy
xz
xy
yy
yz
xz
yz
zz




=
+
+
+
+
+










2
2
2
2
2
2
2
2
2
1 14
3
0
0
0
2
1 14
3
0
0
0
1 14
[
()]
[
()]
[
()]
·
the tensor of inertia compared to G is worth:
I
I
I
I
I
I
I
I
I
MR.
E
R
M H
MR.
E
R
M H
MR.
E
R
xx
xy
xz
xy
yy
yz
xz
yz
zz




=
+
+
+
+
+










2
2
2
2
2
2
2
2
2
1 14
12
0
0
0
2
1 14
12
0
0
0
1 14
[
()]
[
()]
[
()]
For modelings J and K where the trace of a quarter of cylinder of cross-section around an axis OZ on one
plan perpendicular to this axis is represented
·
the mass per unit height is worth:
M
R
R E
=
+
=
2
2
2
1
2
(
)
Re
;
·
the co-ordinates of the center of gravity are:
X
y
R
E
R
R
E
R
G
G


=
+
+




2
1
1
12
2
1
1
12
2
2
[
()]
[
()]
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Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
5/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
·
the tensor of inertia compared to O is worth:
I
I
I
I
I
I
I
I
I
MR. R
E
R
MR. R
E
R
MR. R
E
R
MR. R
E
R
MR.
E
R
xx
xy
xz
xy
yy
yz
xz
yz
zz




=
+


+


+


+


+














2
1 14
1 14
0
1 14
2
1 14
0
0
0
1 14
2
2
2
2
2
2
2
2
2
2
[
]
[
]
[
]
[
]
[
]
·
the tensor of inertia compared to G is worth:
I
I
I
I
I
I
I
I
I
MR. R
E
R
My
MR. R
E
R
MX y
MR. R
E
R
MX y
MR. R
E
R
MX
MR.
E
R
M X
y
xx
xy
xz
xy
yy
yz
xz
yz
zz
G
G G
G G
G
G




=
+


-
+


-
+


-
+


-
+


-
+
2
1 14
1 14
0
1 14
2
1 14
0
0
0
1 14
2
2
2
2
2
2
2
2
2
2
2
2
2
[
]
[
]
[
]
[
]
[
]
(
G
2
)














Note:
In practice, one neglects the terms in
()
E
R
2
in these expressions.
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Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
6/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
3 Modeling
With
3.1
Characteristics of the mesh
PD
PC
AP
PB
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
AP
- 1.
0.
5.0E-01
PB
- 1.
0.
0.
PC
0.
- 1.
5.0E-01
PD
0.
- 1.
0.
Characteristics of the elements:
Types of meshs:
24 COQUE_3D
24
TRIA7
Boundary conditions:
Group meshs AB:
-
displacement following the axis
Y
:
DY = 0
-
rotation around the axis
X
:
DRX = 0
-
rotation around the axis
Z
:
DRZ = 0
Group meshs CD:
-
displacement following the axis
X
:
DX = 0
-
rotation around the axis
Y
:
DRY = 0
-
rotation around the axis
Z
:
DRZ = 0
Group nodes PB:
-
displacement following the axis
Z
:
DZ = 0
with AB the group of meshs connecting AP and PB
and CD that connecting PC and PD

3.2
Functionalities tested
Controls Word
key
AFFE_CHAR_MECA PRES_REP
FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE
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Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
7/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
4
Results of modeling A
4.1 Values
tested
In a systematic way, one takes the values of displacements and the stresses on node AP

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
Average layer
­ 9.81907 10
­ 10
­ 9.49753 10
­ 10
­ 3.275%
Stresses (SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125
196.22121
248.5679
143.8745
0.659%
24.206%
­ 24.326%
FORCE_COQUE
(REALITY)
Displacements
Average layer
­ 9.81907 10
­ 10
­ 9.49753 10
­ 10
­ 3.275%
Stresses (SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125
196.22121
248.5679
143.8745
0.659%
24.206%
­ 24.326%
FORCE_COQUE
(FUNCTION)
Displacements
Average layer
­ 9.81907 10
­ 10
­ 9.49753 10
­ 10
­ 3.275%
Stresses
(SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125
196.22121
248.5679
143.8745
0.659%
24.206%
­ 24.326%
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Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
8/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
5 Modeling
B
5.1
Characteristics of the mesh
AP
PB
PC
PD
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
AP
- 1.
0.
5.0E-01
PB
- 1.
0.
0.
PC
0.
- 1.
5.0E-01
PD
0.
- 1.
0.
Characteristics of the elements:
Types of meshs:
12 COQUE_3D
12
QUAD9
Boundary conditions:
Group meshs AB:
-
displacement following the axis
Y
:
DY = 0
-
rotation around the axis
X
:
DRX = 0
-
rotation around the axis
Z
:
DRZ = 0
Group meshs CD:
-
displacement following the axis
X
:
DX = 0
-
rotation around the axis
Y
:
DRY = 0
-
rotation around the axis
Z
:
DRZ = 0
Group nodes PB:
-
displacement following the axis
Z
:
DZ = 0
with AB the group of meshs connecting AP and PB
and CD that connecting PC and PD

5.2
Functionalities tested
Controls Word
key
AFFE_CHAR_MECA PRES_REP
FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE
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Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
9/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
6
Results of modeling B
6.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.9465 10
­
10
1.298%
Stresses (SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125
199.36962
204.3322
194.406
2.274%
2.102%
2.252%
FORCE_COQUE
(REALITY)
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.9465 10
­
10
1.298%
Stresses (SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125
199.36962
204.3322
194.406
2.274%
2.102%
2.252%
FORCE_COQUE
(FUNCTION)
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.9465 10
­
10
1.298%
Stresses
(SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125
199.36962
204.3322
194.406
2.274%
2.102%
2.252%
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Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
10/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
7 Modeling
C
7.1
Characteristics of the mesh
AP
PB
PC
PD
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
AP
- 1.
0.
5.0E-01
PB
- 1.
0.
0.
PC
0.
- 1.
5.0E-01
PD
0.
- 1.
0.
Characteristics of the elements:
Types of meshs:
12 DKT
12
DST
Boundary conditions:
Group meshs AB:
-
displacement following the axis
Y
:
DY = 0
-
rotation around the axis
X
:
DRX = 0
-
rotation around the axis
Z
:
DRZ = 0
Group meshs CD:
-
displacement following the axis
X
:
DX = 0
-
rotation around the axis
Y
:
DRY = 0
-
rotation around the axis
Z
:
DRZ = 0
Group nodes PB:
-
displacement following the axis
Z
:
DZ = 0
with AB the group of meshs connecting AP and PB
and CD that connecting PC and PD

7.2
Functionalities tested
Controls Word
key
AFFE_CHAR_MECA PRES_REP
FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE
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Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
11/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
8
Results of the modélistaion C
8.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.91444 10
­
10
0.971%
Stresses (SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125
198.28897
198.28897
198.28897
1.719%
­
0.917%
4.294%
FORCE_COQUE
(REALITY)
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.91444 10
­
10
0.971%
Stresses (SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125
198.28897
198.28897
198.28897
1.719%
­
0.917%
4.294%
FORCE_COQUE
(FUNCTION)
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.91444 10
­
10
0.971%
Stresses
(SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125
198.28897
198.28897
198.28897
1.719%
­
0.917%
4.294%
background image
Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
12/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
9 Modeling
D
9.1
Characteristics of the mesh
AP
PB
PC
PD
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
AP
- 1.
0.
5.0E-01
PB
- 1.
0.
0.
PC
0.
- 1.
5.0E-01
PD
0.
- 1.
0.
Characteristics of the elements:
Types of meshs:
6 DKQ
6
DSQ
Boundary conditions:
Group meshs AB:
-
displacement following the axis
Y
:
DY = 0
-
rotation around the axis
X
:
DRX = 0
-
rotation around the axis
Z
:
DRZ = 0
Group meshs CD:
-
displacement following the axis
X
:
DX = 0
-
rotation around the axis
Y
:
DRY = 0
-
rotation around the axis
Z
:
DRZ = 0
Group nodes PB:
-
displacement following the axis
Z
:
DZ = 0
with AB the group of meshs connecting AP and PB
and CD that connecting PC and PD

9.2
Functionalities tested
Controls Word
key
AFFE_CHAR_MECA PRES_REP
FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE
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Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
13/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
10 Results of modeling D
10.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.91444 10
­
10
0.971%
Stresses (SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125
198.28897
198.28897
198.28897
1.719%
­
0.917%
4.294%
FORCE_COQUE
(REALITY)
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.91444 10
­
10
0.971%
Stresses (SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125
198.28897
198.28897
198.28897
1.719%
­
0.917%
4.294%
FORCE_COQUE
(FUNCTION)
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.91444 10
­
10
0.971%
Stresses
(SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125
198.28897
198.28897
198.28897
1.719%
­
0.917%
4.294%

background image
Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
14/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
11 Modeling
E
11.1 Characteristics of the mesh
PA_inf
PA_sup
PB_inf
PD_inf
PD_sup
PC_inf
PC_sup
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
PA_inf
- 9.75E-01
0.
5.0E-01
AP
- 1.
0.
5.0E-01
PA_sup
- 1.025E+00
0.
5.0E-01
PB_inf
- 9.75E-01 0.
0.
PB
- 1.
0.
0.
PB_sup
- 1.025E+00
0.
0.
PC_inf
0.
- 9.75E-01
5.0E-01
PC
0.
- 1.
5.0E-01
PC_sup
0.
- 1.025E+00
5.0E-01
PD_inf
0.
- 9.75E-01
0.
PD
0.
- 1.
0.
PD_sup
0. - 1.025E+00
0.
Characteristics of the elements:
Types of meshs:
24 meshs linear Hexa_8 3D
Boundary conditions:
Group meshs
S_AB
:
-
displacement following the axis
Y
:
DY = 0
-
displacement following the axis
Z
:
DZ = 0
Group meshs
S_CD
:
-
displacement following the axis
X
:
DX = 0
-
displacement following the axis
Z
:
DZ = 0
11.2 Functionalities tested
Controls Word
key
AFFE_CHAR_MECA PRES_REP
AFFE_CHAR_MECA_F PRES_REP
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Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
15/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
12 Results of modeling E
12.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
(REALITY)
Displacements
Average layer
Lower layer
Higher layer
­
9.81907 10
­
10
­
9.90234 10
­
10
­
9.81907 10
­
10
­
9.67127098 10
­
10
­
9.78335202 10
­
10
­
9.567175895 10
­
10
­
1.505%
­
1.202%
­
2.565%
Stresses (SIYY)
Average layer
Lower layer
Higher layer
194.93754
200.125
190.125

211.10227
217.9814
204.62504
8.292%
8.923%
7.627%
PRES_REP
(FUNCTION)
Displacements
Average layer
Lower layer
Higher layer
­
9.81907 10
­
10
­
9.90234 10
­
10
­
9.81907 10
­
10
­
9.671270 10
­
10
­
9.78335202 10
­
10
­
9.5671758 10
­
10
­
1.505%
­
1.202%
­
2.565%
Stresses (SIYY)
Average layer
Lower layer
Higher layer
194.93754
200.125
190.125

211.10227
217.98146
204.62504
8.292%
8.923%
7.627%
background image
Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
16/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
13 Modeling
F
13.1 Characteristics of the mesh
PA_inf
PA_sup
PB_inf
PC_inf
PC_sup
PD_inf
PD_sup
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
PA_inf
- 9.75E-01
0.
5.0E-01
AP
- 1.
0.
5.0E-01
PA_sup
- 1.025E+00
0.
5.0E-01
PB_inf
- 9.75E-01 0.
0.
PB
- 1.
0.
0.
PB_sup
- 1.025E+00
0.
0.
PC_inf
0.
- 9.75E-01
5.0E-01
PC
0.
- 1.
5.0E-01
PC_sup
0.
- 1.025E+00
5.0E-01
PD_inf
0.
- 9.75E-01
0.
PD
0.
- 1.
0.
PD_sup
0. - 1.025E+00
0.
Characteristics of the elements:
Types of meshs:
48 linear meshs PENTA6 3D
Boundary conditions:
Group meshs
S_AB
:
-
displacement following the axis
Y
:
DY = 0
-
displacement following the axis
Z
:
DZ = 0
Group meshs
S_CD
:
-
displacement following the axis
X
:
DX = 0
-
displacement following the axis
Z
:
DZ = 0

13.2 Functionalities tested
Controls Word
key
AFFE_CHAR_MECA PRES_REP
AFFE_CHAR_MECA_F PRES_REP
background image
Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
17/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
14 Results of modeling F
14.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
(REALITY)
Displacements
Average layer
Lower layer
Higher layer
­
9.81907 10
­
10
­
9.90234 10
­
10
­
9.81907 10
­
10
­
9.454821 10
­
10
­
9.5731464 10
­
10
­
9.34578869 10
­
10
­
3.710%
­
3.324%
­
4.820%
Stresses (SIYY)
Average layer
Lower layer
Higher layer
194.93754
200.125
190.125

193.619011
200.724933
186.858348
­
0.676%
0.300%
­
1.718%
PRES_REP
(FUNCTION)
Displacements
Average layer
Lower layer
Higher layer
­
9.81907 10
­
10
­
9.90234 10
­
10
­
9.81907 10
­
10
­
9.454821 10
­
10
­
9.5731464 10
­
10
­
9.34578869 10
­
10
­
3.710%
­
3.324%
­
4.820%
Stresses (SIYY)
Average layer
Lower layer
Higher layer
194.93754
200.125
190.125

193.619011
200.724933
186.858348
­
0.676%
0.300%
­
1.718%
background image
Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
18/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
15 Modeling
G
15.1 Characteristics of the mesh

PA_inf
PA_sup
PB_inf
PC_inf
PC_sup
PD_inf
PD_sup
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
PA_inf
- 9.75E-01
0.
5.0E-01
AP
- 1.
0.
5.0E-01
PA_sup
- 1.025E+00
0.
5.0E-01
PB_inf
- 9.75E-01 0.
0.
PB
- 1.
0.
0.
PB_sup
- 1.025E+00
0.
0.
PC_inf
0.
- 9.75E-01
5.0E-01
PC
0.
- 1.
5.0E-01
PC_sup
0.
- 1.025E+00
5.0E-01
PD_inf
0.
- 9.75E-01
0.
PD
0.
- 1.
0.
PD_sup
0. - 1.025E+00
0.
Characteristics of the elements:
Types of meshs:
24 quadratic meshs HEXA_20 3D
Boundary conditions:
Group meshs
S_AB
:
-
displacement following the axis
Y
:
DY = 0
-
displacement following the axis
Z
:
DZ = 0
Group meshs
S_CD
:
-
displacement following the axis
X
:
DX = 0
-
displacement following the axis
Z
:
DZ = 0

15.2 Functionalities tested
Controls Word
key
AFFE_CHAR_MECA PRES_REP
AFFE_CHAR_MECA_F PRES_REP
background image
Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
19/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
16 Result of modeling G
16.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
(REALITY)
Displacements
Average layer
Lower layer
Higher layer
­
9.81907 10
­
10
­
9.90234 10
­
10
­
9.81907 10
­
10
­
9.6611705 10
­
10
­
9.7808343 10
­
10
­
9.5508891 10
­
10
­
1.608%
­
1.227%
­
2.731%
Stresses (SIYY)
Average layer
Lower layer
Higher layer
194.93754
200.125
190.125

219.59661
226.83032
211.09036
12.650%
13.344%
11.027%
PRES_REP
(FUNCTION)
Displacements
Average layer
Lower layer
Higher layer
­
9.81907 10
­
10
­
9.90234 10
­
10
­
9.81907 10
­
10
­
9.6611705 10
­
10
­
9.7808343 10
­
10
­
9.5508891 10
­
10
­
1.608%
­
1.227%
­
2.731%
Stresses (SIYY)
Average layer
Lower layer
Higher layer
194.93754
200.125
190.125

219.59661
226.83032
211.09036
12.650%
13.344%
11.027%

background image
Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
20/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
17 Modeling
H
17.1 Characteristics of the mesh

PA_inf
PA_sup
PB_inf
PC_inf
PC_sup
PD_inf
PD_sup
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
PA_inf
- 9.75E-01
0.
5.0E-01
AP
- 1.
0.
5.0E-01
PA_sup
- 1.025E+00
0.
5.0E-01
PB_inf
- 9.75E-01 0.
0.
PB
- 1.
0.
0.
PB_sup
- 1.025E+00
0.
0.
PC_inf
0.
- 9.75E-01
5.0E-01
PC
0.
- 1.
5.0E-01
PC_sup
0.
- 1.025E+00
5.0E-01
PD_inf
0.
- 9.75E-01
0.
PD
0.
- 1.
0.
PD_sup
0. - 1.025E+00
0.
Characteristics of the elements:
Types of meshs:
48 quadratic meshs PENTA15 3D
Boundary conditions:
Group meshs
S_AB
:
-
displacement following the axis
Y
:
DY = 0
-
displacement following the axis
Z
:
DZ = 0
Group meshs
S_CD
:
-
displacement following the axis
X
:
DX = 0
-
displacement following the axis
Z
:
DZ = 0
17.2 Functionalities tested
Controls Word
key
AFFE_CHAR_MECA PRES_REP
AFFE_CHAR_MECA_F PRES_REP
background image
Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
21/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
18 Results of modeling H
18.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
(REALITY)
Displacements
Average layer
Lower layer
Higher layer
­
9.81907 10
­
10
­
9.90234 10
­
10
­
9.81907 10
­
10
­
9.6609841 10
­
10
­
9.787884 10
­
10
­
9.5539546 10
­
10
­
1.610%
­
1.156%
­
2.700%
Stresses (SIYY)
Average layer
Lower layer
Higher layer
194.93754
200.125
190.125

214.780477
242.54015
186.1681
10.179%
21.194%
­
2.081%
PRES_REP
(FUNCTION)
Displacements
Average layer
Lower layer
Higher layer
­
9.81907 10
­
10
­
9.90234 10
­
10
­
9.81907 10
­
10
­
9.6609841 10
­
10
­
9.787884 10
­
10
­
9.5539546 10
­
10
­
1.610%
­
1.156%
­
2.700%
Stresses (SIYY)
Average layer
Lower layer
Higher layer
194.93754
200.125
190.125

214.780477
242.54015
186.1681
10.179%
21.194%
­
2.081%
background image
Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
22/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
19 Modeling
I
19.1 Characteristics of the mesh











Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
AP
1.0
0.5
PB
1.0 0.
Characteristics of the elements:
Types of meshs:
2 COQUE_AXI
Thus R1=1.025 m and R2=0.975 Mr.
h=0.5m
For this modeling and the following ones, one specifies the density
= 1234.kg/m
3
Boundary conditions:
Group nodes PB: displacement following the axis
Y
:
DY = 0

19.2 Functionalities tested
Controls Word
key
AFFE_CHAR_MECA PRES_REP
FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE
PB
AP
background image
Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
23/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
20 Results of modeling I
20.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
Average layer
­ 9.81907 10
­ 10
­ 1.000 10
­ 9
1.843%
Stresses (SIYY)
Average layer
194.93754
200.000
2.597%
FORCE_COQUE
(REALITY)
with
MODI_METRIQUE
Displacements
Average layer
­ 9.81907 10
­ 10
­ 1.000 10
­ 9
1.843%
Stresses (SIYY)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125
199.954
205.588
194.595
2.573%
2.730%
2.351%
FORCE_COQUE
(FUNCTION)
with
MODI_METRIQUE
Displacements
Average layer
­ 9.81907 10
­ 10
­ 1.000 10
­ 9
1.843%
Stresses (SIYY)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125
199.954
205.588
194.595
2.573%
2.730%
2.351%
FORCE_COQUE
(FUNCTION)
without
MODI_METRIQUE
Displacements
Average layer
­ 9.81907 10
­ 10
­ 1.000 10
­ 9
1.843%
Stresses (SIYY)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125
200.000
200.000
200.000
2.597%
­ 0.062%
5.194%

MASS
1.93836 E+02
1.93836 E+02
CDG_X
CDG_Y
CDG_Z
0.0
0.0
2.5 E-01
0.0
0.0
2.5 E-01
IX_G
IY_G
IZ_G
IXY_G
IXZ_G
IYZ_G
1.00956 E+02
1.00956 E+02
1.93836 E+02
0.0
0.0
0.0
1.00956 E+02
1.00956 E+02
1.93836 E+02
0.0
0.0
0.0
background image
Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
24/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
21 Modeling
J
21.1 Characteristics of the mesh
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
AP
1.0
0.
PC
0. 1.
Characteristics of the elements:
Types of meshs:
10 COQUE_C_PLAN
R
= 1 Mr.
= 1234. Kg/m
3
Boundary conditions:
Group nodes AP:
-
displacement following the axis
Y = 0
-
rotation around the axis
Z
:
DRZ = 0
Group nodes PC:
-
displacement following the axis
X
:
DX = 0
-
rotation around the axis
Z
:
DZ = 0

21.2 Functionalities tested
Controls Word
key
AFFE_CHAR_MECA PRES_REP
FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE
background image
Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
25/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
22 Results of modeling J
22.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.999974 10
­
10
1.842%
Stresses (SIXX)
Average layer
194.93754

200.000
2.597%
FORCE_COQUE
(REALITY)
with
MODI_METRIQUE
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.999974 10
­
10
1.842%
Stresses (SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125

199.959
205.046
195.118
2.576%
2.459%
2.626%
FORCE_COQUE
(FUNCTION)
with
MODI_METRIQUE
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.999974 10
­
10
1.842%
Stresses (SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125

199.959
205.046
195.118
2.576%
2.459%
2.626%
FORCE_COQUE
(FUNCTION)
without
MODI_METRIQUE
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.999974 10
­
10
1.842%
Stresses (SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125

200.000
200.000
200.000
2.597%
­
0.062%
5.194%

MASS
9.69181 E+01
9.69181 E+01
CDG_X
CDG_Y
CDG_Z
6.36619 E-01
6.36619 E-01
0.0
6.36619 E-01
6.36619 E-01
0.0
IX_G
IY_G
IZ_G
IXY_G
IXZ_G
IYZ_G
9.17961
9.17961
1.83592 E+01
- 8.42942
0.0
0.0
9.17961
9.17961
1.83592 E+01
- 8.42942
0.0
0.0
background image
Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
26/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
23 Modeling
K
23.1 Characteristics of the mesh
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
AP
1.0
0.
PC
0. 1.
Characteristics of the elements:
Types of meshs:
10 COQUE_D_PLAN
R
= 1 Mr.
= 1234. Kg/m
3
Boundary conditions:
Group nodes AP:
-
displacement following the axis
Y = 0
-
rotation around the axis
Z
:
DRZ = 0
Group nodes PC:
-
displacement following the axis
X
:
DX = 0
-
rotation around the axis
Z
:
DZ = 0

23.2 Functionalities tested
Controls Word
key
AFFE_CHAR_MECA PRES_REP
FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE

background image
Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
27/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
24 Results of modeling K
24.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.099974 10
­
10
­
7.323%
Stresses (SIXX)
Average layer
194.93754

200.000
2.597%
FORCE_COQUE
(REALITY)
with
MODI_METRIQUE
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.099974 10
­
10
­
7.323%
Stresses (SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125

199.959
205.046
195.118
2.576%
2.459%
2.627%
FORCE_COQUE
(FUNCTION)
with
MODI_METRIQUE
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.099974 10
­
10
­
7.323%
Stresses (SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125

199.959
205.046
195.118
2.576%
2.459%
2.627%
FORCE_COQUE
(FUNCTION)
without
MODI_METRIQUE
Displacements
Average layer
­ 9.81907 10
­ 10
­
9.099974 10
­
10
­
7.323%
Stresses (SIXX)
Average layer
Higher layer
Lower layer
194.93754
200.125
190.125

200.000
200.000
200.000
2.597%
­
0.062%
5.194%

MASS
9.69181 E+01
9.69181 E+01
CDG_X
CDG_Y
CDG_Z
6.36619 E-01
6.36619 E-01
0.0
6.36619 E-01
6.36619 E-01
0.0
IX_G
IY_G
IZ_G
IXY_G
IXZ_G
IYZ_G
9.17961
9.17961
1.83592 E+01
- 8.42942
0.0
0.0
9.17961
9.17961
1.83592 E+01
- 8.42942
0.0
0.0
background image
Code_Aster
®
Version
6.5
Titrate:
SSLS114 - Not regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. MASSIN, J.R. LEVESQUE
Key
:
V3.03.114-A
Page:
28/28
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
25 Summary of the results
Key words
PRES_REP
(reality or function) and
FORCE_COQUE
(reality or function) can be
indifferently used for the elements of hull and plate, the results obtained coincide.