Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
1/28

Organization (S): EDF-R & D/AMA
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
Document: V3.03.114
SSLS114 - Non 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.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
2/28

1
Problem of reference

1.1
Properties of materials

E = 200.000 MPa
= 0.3
3
=
.
1234 kg/m for modelings I, J and K.

1.2 Characteristics
geometrical

One notes:

·
R = 0 975
.

m the interior radius of the cylinder;
1
·
R = 1025
.

m the radius external of the cylinder;
2
· R = 1 m the average radius of the cylinder equal to the half the sum of the two preceding radii;
· E = 0 0
. 5 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 nodes blocked 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)
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
3/28

2
Reference solution

Analytical solution.

2.1
Results of reference

Displacement of the average layer

Constraints 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
constraints

Into incompressible:


B
U
=
(1+)
a2 b2
R

R
with B =
P

2
2
U = U
E
= 0
(B - has)

Z


B
rr = - r2


B

= +

R

2
R = zz = 0



a2

b2
J
= P
1

rr
-

b2 - a2
r2

a2

b2
J = P
1+

b2 - a2
r2

R = 0

a2

= 2 P
zz

b2 - a2

Passage in the Cartesian system:


2
2
xx
= rr cos + sin - 2 R sin cos

2
2
yy
= rr sin + cos + 2 R sin cos


2
2
xy
= rr sin cos - sin cos - 2 R (cos sin)
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
4/28

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 (R2 - R2) 2
;
2
1
= H
er

X 0
G


· the co-ordinates of the center of gravity are: y
=
0
;
G





Z H/
2
G

· the tensor of inertia compared to O is worth:

MR2
1 E
M


1
[+
2
()] +
H2
0
0

I
I
I
2
4 R

3

xx
xy
xz


MR2
1 E
M

2
2

I
I
I =
0
1
[+ ()] +
H
0

xy
yy
yz

2
4 R



3
I
I
I

1

xz
yz
zz
E

0
0
MR2 1
[+
2
()
]

4 R


· the tensor of inertia compared to G is worth:

MR2
1 E
M


1
[+
2
()] +
H2
0
0

I
I
I
2
4 R

12

xx
xy
xz


MR2
1 E
M

2
2

I
I
I =
0
1
[+ ()] +
H
0
xy
yy
yz

2
4 R



12
I
I
I

1

xz
yz
zz
E

0
0
MR2 1
[+
2
()
]

4 R


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

(R
)
1 + R2

· the mass per unit height is worth: M =
E = Re;
2
2
2

2
1 E 2
X
R

1
[+
()
]
·
G

12 R
the co-ordinates of the center of gravity are:
=



y
2
1 E
G
R 1
[+
2

()]
12 R

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
5/28

· the tensor of inertia compared to O is worth:

M
1
2
2
2
E
M
1
2
E


R 1
[+
]
R 1
[
]
0


2
4
+

4
I
I
I

R
R


xx
xy
xz

M
1
2
2
2
E
M
1
2
E

I
I
I =
R 1
[+
]
R 1
[
]
0

xy
yy
yz


4 R
+
2
4 R




I
I
I


xz
yz
zz

1
2
2
E

0
0
MR. 1
[+
]

4 R

· the tensor of inertia compared to G is worth:

M
1
2
2

2
E
M
1
2
2
E

R 1
[+
] My
R 1
[
] MX y
0

G
G G

2
4 -
+

4 -
I
I
I
R
R


xx
xy
xz

M
1
2
2

2
E
M
1
2
E
I
I
I =
R 1
[+
] MX y
R 1
[
] Mx2
0

xy
yy
yz

4 R
G G

-
+
2
4 R
G



-
I
I
I


xz
yz
zz

1
2

2
E

0
0
MR. 1
[+
] M (x2
y2)

4 R
G

-
+ G

Note:

E
In practice, one neglects the terms in () 2 in these expressions.
R
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
6/28

3 Modeling
With

3.1
Characteristics of the grid
Pa
PB
PC
PD

Co-ordinates of the points:

GROUP_NO
Coor_x Coor_y
Coor_z
Pa
- 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 axis X: DRX = 0
- rotation around axis Z: DRZ = 0
Group meshs CD:
- displacement following axis X: DX = 0
- rotation around the axis Y: DRY = 0
- rotation around axis Z: DRZ = 0
Group nodes PB:
- displacement following axis Z: DZ = 0

with AB the group of meshs connecting Pa and PB
and CD that connecting PC and PD

3.2
Functionalities tested

Commands Word
key
AFFE_CHAR_MECA PRES_REP

FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
7/28

4
Results of modeling A

4.1 Values
tested

In a systematic way, one takes the values of displacements and the constraints on node Pa

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements



Average layer
­ 9.81907 10­10
­ 9.49753 10­10
­ 3.275%

Constraints (SIXX)



Average layer
194.93754
196.22121
0.659%
Higher layer
200.125
248.5679
24.206%
Lower layer
190.125
143.8745
­ 24.326%
FORCE_COQUE
Displacements



(REEL)
Average layer
­ 9.81907 10­10
­ 9.49753 10­10
­ 3.275%


Constraints (SIXX)



Average layer
194.93754
196.22121
0.659%
Higher layer
200.125
248.5679
24.206%
Lower layer
190.125
143.8745
­ 24.326%
FORCE_COQUE
Displacements



(FONCTION)
Average layer
­ 9.81907 10­10
­ 9.49753 10­10
­ 3.275%

Constraints
(SIXX)



Average layer
194.93754
196.22121
0.659%
Higher layer
200.125
248.5679
24.206%
Lower layer
190.125
143.8745
­ 24.326%

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
8/28

5 Modeling
B

5.1
Characteristics of the grid

Pa
PB
PC
PD

Co-ordinates of the points:

GROUP_NO
Coor_x Coor_y
Coor_z
Pa
- 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 axis X: DRX = 0
- rotation around axis Z: DRZ = 0
Group meshs CD:
- displacement following axis X: DX = 0
- rotation around the axis Y: DRY = 0
- rotation around axis Z: DRZ = 0
Group nodes PB:
- displacement following axis Z: DZ = 0

with AB the group of meshs connecting Pa and PB
and CD that connecting PC and PD

5.2
Functionalities tested

Commands Word
key
AFFE_CHAR_MECA PRES_REP

FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
9/28

6
Results of modeling B

6.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements



Average layer
­ 9.81907 10­10
­ 9.9465 10­10
1.298%

Constraints (SIXX)



Average layer
194.93754
199.36962
2.274%
Higher layer
200.125
204.3322
2.102%
Lower layer
190.125
194.406
2.252%
FORCE_COQUE
Displacements



(REEL)
Average layer
­ 9.81907 10­10
­ 9.9465 10­10
1.298%


Constraints (SIXX)



Average layer
194.93754
199.36962
2.274%
Higher layer
200.125
204.3322
2.102%
Lower layer
190.125
194.406
2.252%
FORCE_COQUE
Displacements



(FONCTION)
Average layer
­ 9.81907 10­10
­ 9.9465 10­10
1.298%

Constraints
(SIXX)



Average layer
194.93754
199.36962
2.274%
Higher layer
200.125
204.3322
2.102%
Lower layer
190.125
194.406
2.252%

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
10/28

7 Modeling
C

7.1
Characteristics of the grid

Pa
PB
PC
PD

Co-ordinates of the points:

GROUP_NO
Coor_x Coor_y
Coor_z
Pa
- 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 axis X: DRX = 0
- rotation around axis Z: DRZ = 0
Group meshs CD:
- displacement following axis X: DX = 0
- rotation around the axis Y: DRY = 0
- rotation around axis Z: DRZ = 0
Group nodes PB:
- displacement following axis Z: DZ = 0

with AB the group of meshs connecting Pa and PB
and CD that connecting PC and PD

7.2
Functionalities tested

Commands Word
key
AFFE_CHAR_MECA PRES_REP

FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
11/28

8
Results of the modélistaion C

8.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements



Average layer
­ 9.81907 10­10
­ 9.91444 10­10
0.971%

Constraints (SIXX)



Average layer
194.93754
198.28897
1.719%
Higher layer
200.125
198.28897
­ 0.917%
Lower layer
190.125
198.28897
4.294%
FORCE_COQUE
Displacements



(REEL)
Average layer
­ 9.81907 10­10
­ 9.91444 10­10
0.971%


Constraints (SIXX)



Average layer
194.93754
198.28897
1.719%
Higher layer
200.125
198.28897
­ 0.917%
Lower layer
190.125
198.28897
4.294%
FORCE_COQUE
Displacements



(FONCTION)
Average layer
­ 9.81907 10­10
­ 9.91444 10­10
0.971%

Constraints
(SIXX)



Average layer
194.93754
198.28897
1.719%
Higher layer
200.125
198.28897
­ 0.917%
Lower layer
190.125
198.28897
4.294%

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
12/28

9 Modeling
D

9.1
Characteristics of the grid

Pa
PB
PC
PD


Co-ordinates of the points:

GROUP_NO
Coor_x Coor_y
Coor_z
Pa
- 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 axis X: DRX = 0
- rotation around axis Z: DRZ = 0
Group meshs CD:
- displacement following axis X: DX = 0
- rotation around the axis Y: DRY = 0
- rotation around axis Z: DRZ = 0
Group nodes PB:
- displacement following axis Z: DZ = 0

with AB the group of meshs connecting Pa and PB
and CD that connecting PC and PD

9.2
Functionalities tested

Commands Word
key
AFFE_CHAR_MECA PRES_REP

FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
13/28

10 Results of modeling D

10.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements



Average layer
­ 9.81907 10­10
­ 9.91444 10­10
0.971%

Constraints (SIXX)



Average layer
194.93754
198.28897
1.719%
Higher layer
200.125
198.28897
­ 0.917%
Lower layer
190.125
198.28897
4.294%
FORCE_COQUE
Displacements



(REEL)
Average layer
­ 9.81907 10­10
­ 9.91444 10­10
0.971%


Constraints (SIXX)



Average layer
194.93754
198.28897
1.719%
Higher layer
200.125
198.28897
­ 0.917%
Lower layer
190.125
198.28897
4.294%
FORCE_COQUE
Displacements



(FONCTION)
Average layer
­ 9.81907 10­10
­ 9.91444 10­10
0.971%

Constraints
(SIXX)



Average layer
194.93754
198.28897
1.719%
Higher layer
200.125
198.28897
­ 0.917%
Lower layer
190.125
198.28897
4.294%

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
14/28

11 Modeling
E

11.1 Characteristics of the grid

PA_sup
PA_inf
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
Pa
- 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 axis Z: DZ = 0
Group meshs S_CD:
- displacement following axis X: DX = 0
- displacement following axis Z: DZ = 0

11.2 Functionalities tested
Commands Word
key
AFFE_CHAR_MECA PRES_REP

AFFE_CHAR_MECA_F PRES_REP

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
15/28

12 Results of modeling E

12.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements



(REEL)
Average layer
­ 9.81907 10­10 ­ 9.67127098 10­10
­ 1.505%
Lower layer
­ 9.90234 10­10 ­ 9.78335202 10­10
­ 1.202%
Higher layer
­ 9.81907 10­10 ­ 9.567175895 10­10
­ 2.565%

Constraints (SIYY)



Average layer
194.93754
211.10227
8.292%
Lower layer
200.125
217.9814
8.923%
Higher layer
190.125
204.62504
7.627%
PRES_REP
Displacements



(FONCTION)
Average layer
­ 9.81907 10­10 ­ 9.671270 10­10
­ 1.505%
Lower layer
­ 9.90234 10­10 ­ 9.78335202 10­10
­ 1.202%
Higher layer
­ 9.81907 10­10 ­ 9.5671758 10­10
­ 2.565%

Constraints (SIYY)



Average layer
194.93754
211.10227
8.292%
Lower layer
200.125
217.98146
8.923%
Higher layer
190.125
204.62504
7.627%

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
16/28

13 Modeling
F

13.1 Characteristics of the grid

PA_sup
PA_inf
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
Pa
- 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 axis Z: DZ = 0
Group meshs S_CD:
- displacement following axis X: DX = 0
- displacement following axis Z: DZ = 0

13.2 Functionalities tested

Commands Word
key
AFFE_CHAR_MECA PRES_REP

AFFE_CHAR_MECA_F PRES_REP

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
17/28

14 Results of modeling F

14.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements



(REEL)
Average layer
­ 9.81907 10­10
­ 9.454821 10­10
­ 3.710%
Lower layer
­ 9.90234 10­10
­ 9.5731464 10­10
­ 3.324%
Higher layer
­ 9.81907 10­10
­ 9.34578869 10­10
­ 4.820%

Constraints (SIYY)



Average layer
194.93754
193.619011
­ 0.676%
Lower layer
200.125
200.724933
0.300%
Higher layer
190.125
186.858348
­ 1.718%
PRES_REP
Displacements



(FONCTION)
Average layer
­ 9.81907 10­10
­ 9.454821 10­10
­ 3.710%
Lower layer
­ 9.90234 10­10
­ 9.5731464 10­10
­ 3.324%
Higher layer
­ 9.81907 10­10
­ 9.34578869 10­10
­ 4.820%

Constraints (SIYY)



Average layer
194.93754
193.619011
­ 0.676%
Lower layer
200.125
200.724933
0.300%
Higher layer
190.125
186.858348
­ 1.718%

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
18/28

15 Modeling
G

15.1 Characteristics of the grid
PA_sup
PA_inf
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
Pa
- 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 axis Z: DZ = 0
Group meshs S_CD:
- displacement following axis X: DX = 0
- displacement following axis Z: DZ = 0

15.2 Functionalities tested

Commands Word
key
AFFE_CHAR_MECA PRES_REP

AFFE_CHAR_MECA_F PRES_REP

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
19/28

16 Result of modeling G

16.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements



(REEL)
Average layer
­ 9.81907 10­10
­ 9.6611705 10­10
­ 1.608%
Lower layer
­ 9.90234 10­10
­ 9.7808343 10­10
­ 1.227%
Higher layer
­ 9.81907 10­10
­ 9.5508891 10­10
­ 2.731%

Constraints (SIYY)



Average layer
194.93754
219.59661
12.650%
Lower layer
200.125
226.83032
13.344%
Higher layer
190.125
211.09036
11.027%
PRES_REP
Displacements



(FONCTION)
Average layer
­ 9.81907 10­10
­ 9.6611705 10­10
­ 1.608%
Lower layer
­ 9.90234 10­10
­ 9.7808343 10­10
­ 1.227%
Higher layer
­ 9.81907 10­10
­ 9.5508891 10­10
­ 2.731%

Constraints (SIYY)



Average layer
194.93754
219.59661
12.650%
Lower layer
200.125
226.83032
13.344%
Higher layer
190.125
211.09036
11.027%

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
20/28

17 Modeling
H

17.1 Characteristics of the grid
PA_sup
PA_inf
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
Pa
- 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 axis Z: DZ = 0
Group meshs S_CD:
- displacement following axis X: DX = 0
- displacement following axis Z: DZ = 0

17.2 Functionalities tested
Commands Word
key
AFFE_CHAR_MECA PRES_REP

AFFE_CHAR_MECA_F PRES_REP

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
21/28

18 Results of modeling H

18.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements



(REEL)
Average layer
­ 9.81907 10­10
­ 9.6609841 10­10
­ 1.610%
Lower layer
­ 9.90234 10­10
­ 9.787884 10­10
­ 1.156%
Higher layer
­ 9.81907 10­10
­ 9.5539546 10­10
­ 2.700%

Constraints (SIYY)



Average layer
194.93754
214.780477
10.179%
Lower layer
200.125
242.54015
21.194%
Higher layer
190.125
186.1681
­ 2.081%
PRES_REP
Displacements



(FONCTION)
Average layer
­ 9.81907 10­10
­ 9.6609841 10­10
­ 1.610%
Lower layer
­ 9.90234 10­10
­ 9.787884 10­10
­ 1.156%
Higher layer
­ 9.81907 10­10
­ 9.5539546 10­10
­ 2.700%

Constraints (SIYY)



Average layer
194.93754
214.780477
10.179%
Lower layer
200.125
242.54015
21.194%
Higher layer
190.125
186.1681
­ 2.081%

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
22/28

19 Modeling
I

19.1 Characteristics of the grid

Pa

PB

Co-ordinates of the points:

GROUP_NO
Coor_x Coor_y
Pa
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/m3

Boundary conditions:

Group nodes PB: displacement following the axis Y: DY = 0

19.2 Functionalities tested

Commands Word
key
AFFE_CHAR_MECA PRES_REP

FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE


Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
23/28

20 Results of modeling I

20.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements



Average layer
­ 9.81907 10­10
­ 1.000 10­9
1.843%


Constraints (SIYY)



Average layer
194.93754
200.000
2.597%




FORCE_COQUE
Displacements



(REEL) with
Average layer
­ 9.81907 10­10
­ 1.000 10­9
1.843%
MODI_METRIQUE


Constraints (SIYY)



Average layer
194.93754
199.954
2.573%
Higher layer
200.125
205.588
2.730%
Lower layer
190.125
194.595
2.351%
FORCE_COQUE
Displacements



(FONCTION) with
Average layer
­ 9.81907 10­10
­ 1.000 10­9
1.843%
MODI_METRIQUE


Constraints (SIYY)



Average layer
194.93754
199.954
2.573%
Higher layer
200.125
205.588
2.730%
Lower layer
190.125
194.595
2.351%
FORCE_COQUE
Displacements



(FONCTION) without
Average layer
­ 9.81907 10­10
­ 1.000 10­9
1.843%
MODI_METRIQUE

Constraints (SIYY)



Average layer
194.93754
200.000
2.597%
Higher layer
200.125
200.000
­ 0.062%
Lower layer
190.125
200.000
5.194%

MASSE
1.93836 E+02
1.93836 E+02
CDG_X
0.0
0.0
CDG_Y
0.0
0.0
CDG_Z
2.5 E-01
2.5 E-01
IX_G
1.00956 E+02
1.00956 E+02
IY_G
1.00956 E+02
1.00956 E+02
IZ_G
1.93836 E+02
1.93836 E+02
IXY_G
0.0
0.0
IXZ_G
0.0
0.0
IYZ_G
0.0
0.0

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
24/28

21 Modeling
J

21.1 Characteristics of the grid

Co-ordinates of the points:

GROUP_NO
Coor_x Coor_y
Pa
1.0
0.

PC
0. 1.


Characteristics of the elements:

Types of meshs:
10 COQUE_C_PLAN

R = 1 Mr.
= 1234. Kg/m3

Boundary conditions:

Group nodes Pa:
- displacement following the axis Y = 0
- rotation around axis Z: DRZ = 0

Group nodes PC:
- displacement following axis X: DX = 0
- rotation around axis Z: DZ = 0

21.2 Functionalities tested

Commands Word
key
AFFE_CHAR_MECA PRES_REP

FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
25/28

22 Results of modeling J

22.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements



Average layer
­ 9.81907 10­10
­ 9.999974 10­10
1.842%


Constraints (SIXX)



Average layer
194.93754
200.000
2.597%




FORCE_COQUE
Displacements



(REEL) with
Average layer
­ 9.81907 10­10
­ 9.999974 10­10
1.842%
MODI_METRIQUE


Constraints (SIXX)



Average layer
194.93754
199.959
2.576%
Higher layer
200.125
205.046
2.459%
Lower layer
190.125
195.118
2.626%
FORCE_COQUE
Displacements



(FONCTION) with
Average layer
­ 9.81907 10­10
­ 9.999974 10­10
1.842%
MODI_METRIQUE


Constraints (SIXX)



Average layer
194.93754
199.959
2.576%
Higher layer
200.125
205.046
2.459%
Lower layer
190.125
195.118
2.626%
FORCE_COQUE
Displacements



(FONCTION) without
Average layer
­ 9.81907 10­10
­ 9.999974 10­10
1.842%
MODI_METRIQUE

Constraints (SIXX)



Average layer
194.93754
200.000
2.597%
Higher layer
200.125
200.000
­ 0.062%
Lower layer
190.125
200.000
5.194%

MASSE
9.69181 E+01
9.69181 E+01
CDG_X
6.36619 E-01
6.36619 E-01
CDG_Y
6.36619 E-01
6.36619 E-01
CDG_Z
0.0
0.0
IX_G
9.17961
9.17961
IY_G
9.17961
9.17961
IZ_G
1.83592 E+01
1.83592 E+01
IXY_G
- 8.42942
- 8.42942
IXZ_G
0.0
0.0
IYZ_G
0.0
0.0

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
26/28

23 Modeling
K

23.1 Characteristics of the grid

Co-ordinates of the points:

GROUP_NO
Coor_x Coor_y
Pa
1.0
0.

PC
0. 1.


Characteristics of the elements:

Types of meshs:
10 COQUE_D_PLAN

R = 1 Mr.
= 1234. Kg/m3

Boundary conditions:

Group nodes Pa:
- displacement following the axis Y = 0
- rotation around axis Z: DRZ = 0

Group nodes PC:
- displacement following axis X: DX = 0
- rotation around axis Z: DZ = 0

23.2 Functionalities tested

Commands Word
key
AFFE_CHAR_MECA PRES_REP

FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE


Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
27/28

24 Results of modeling K

24.1 Values
tested

Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements



Average layer
­ 9.81907 10­10
­ 9.099974 10­10
­ 7.323%


Constraints (SIXX)



Average layer
194.93754
200.000
2.597%




FORCE_COQUE
Displacements



(REEL) with
Average layer
­ 9.81907 10­10
­ 9.099974 10­10
­ 7.323%
MODI_METRIQUE


Constraints (SIXX)



Average layer
194.93754
199.959
2.576%
Higher layer
200.125
205.046
2.459%
Lower layer
190.125
195.118
2.627%
FORCE_COQUE
Displacements



(FONCTION) with
Average layer
­ 9.81907 10­10
­ 9.099974 10­10
­ 7.323%
MODI_METRIQUE


Constraints (SIXX)



Average layer
194.93754
199.959
2.576%
Higher layer
200.125
205.046
2.459%
Lower layer
190.125
195.118
2.627%
FORCE_COQUE
Displacements



(FONCTION) without
Average layer
­ 9.81907 10­10
­ 9.099974 10­10
­ 7.323%
MODI_METRIQUE

Constraints (SIXX)



Average layer
194.93754
200.000
2.597%
Higher layer
200.125
200.000
­ 0.062%
Lower layer
190.125
200.000
5.194%

MASSE
9.69181 E+01
9.69181 E+01
CDG_X
6.36619 E-01
6.36619 E-01
CDG_Y
6.36619 E-01
6.36619 E-01
CDG_Z
0.0
0.0
IX_G
9.17961
9.17961
IY_G
9.17961
9.17961
IZ_G
1.83592 E+01
1.83592 E+01
IXY_G
- 8.42942
- 8.42942
IXZ_G
0.0
0.0
IYZ_G
0.0
0.0

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring

Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
28/28

25 Summary of the results

The key words PRES_REP (real or function) and FORCE_COQUE (real or function) can be
indifferently used for the elements of hull and plate, the results obtained coincide.

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A

Outline document