Code_Aster
®
Version
5.0
Titrate:
SSNA301 Melts of pressurized thick tank
Date:
16/11/98
Author (S)
:
J.M. PROIX, L. LAMMERANT, J.P. DELSEMME
Key:
V6.01.301-A
Page:
1/14
Manual of Validation
V6.01 booklet: Nonlinear statics into axisymmetric
HI-75/01/010/A
Organization (S)
: EDF/IMA/MN, SAMTECH SA
Manual of Validation
V6.01 booklet: Nonlinear statics into axisymmetric
V6.01.301 document
SSNA301 - Melts of pressurized thick tank
Summary:
This test consists in analyzing until the ruin, the spherotoric bottom of a thick tank subjected to a pressure
intern by taking of account the elastoplastic behavior of material and the nonlinear behavior of
the structure.
Modeling is made with axisymmetric elements of type MEAXQU8.
One will test the taking into account here or not nongeometrical linearities and the use of one or two
assumptions material.
Code_Aster
®
Version
5.0
Titrate:
SSNA301 Melts of pressurized thick tank
Date:
16/11/98
Author (S)
:
J.M. PROIX, L. LAMMERANT, J.P. DELSEMME
Key:
V6.01.301-A
Page:
2/14
Manual of Validation
V6.01 booklet: Nonlinear statics into axisymmetric
HI-75/01/010/A
1
Problem of reference
1.1 Geometry
With
B
L = 50 ''
1.2
Material properties
Elastoplastic material without work hardening
E = 3.E+07 MPa
= 0.3
y
= 3.E+04 MPa
1.3
Boundary conditions and loadings
Not a: U
X
=0
Not b: U
y
=0.
The setting charges some (= pressure interns) following is applied:
p = 1.737 p
0
(vicinity of the ruin)
with p
0
= 658.257 MPa (fine of the linear mode)
The load p is applied in 50 identical increments.
Code_Aster
®
Version
5.0
Titrate:
SSNA301 Melts of pressurized thick tank
Date:
16/11/98
Author (S)
:
J.M. PROIX, L. LAMMERANT, J.P. DELSEMME
Key:
V6.01.301-A
Page:
3/14
Manual of Validation
V6.01 booklet: Nonlinear statics into axisymmetric
HI-75/01/010/A
2
Reference solution
2.1
Method of calculation used for the reference solution
Calculation finite element with the SAMCEF software Version 7.0 (Mecanl).
2.2
Reference solution
Variation of the voltages on the skins along the meridian section for an internal pressure
p
0
[bib2]
Variation of the voltages on the skins along the meridian section in the vicinity of the ruin
for a pressure p interns
max
[bib2]
Code_Aster
®
Version
5.0
Titrate:
SSNA301 Melts of pressurized thick tank
Date:
16/11/98
Author (S)
:
J.M. PROIX, L. LAMMERANT, J.P. DELSEMME
Key:
V6.01.301-A
Page:
4/14
Manual of Validation
V6.01 booklet: Nonlinear statics into axisymmetric
HI-75/01/010/A
Variation of the azimuth stress
on the higher skin along the meridian section
in the vicinity of the ruin for a pressure p interns
max
. Geometrical linear calculation.
- 40
- 30
- 20
- 10
0
10
20
30
0,0
12
, 9
25
, 9
38
, 8
51
, 3
63
, 7
10
5,0
Meridian length
p
Variation of the azimuth stress
on the lower skin along the meridian section
in the vicinity of the ruin for a pressure p interns
max
. Geometrical linear calculation.
- 20
- 10
0
10
20
30
0,
0
12
,
7
25
,
4
38
,
1
49
,
3
60
,
6
10
1,
8
Meridian length
p
Code_Aster
®
Version
5.0
Titrate:
SSNA301 Melts of pressurized thick tank
Date:
16/11/98
Author (S)
:
J.M. PROIX, L. LAMMERANT, J.P. DELSEMME
Key:
V6.01.301-A
Page:
5/14
Manual of Validation
V6.01 booklet: Nonlinear statics into axisymmetric
HI-75/01/010/A
Variation of the azimuth stress
on the skin higher along the meridian section than
vicinity of the ruin for a pressure interns p
max
. Geometrical nonlinear calculation.
- 30
- 20
- 10
0
10
20
30
0,
0
12
, 9
25
, 9
38
, 8
51
, 3
63
, 7
10
4,9
Meridian length
p
node 1
node 73
node 137
Variation of the azimuth stress
on the lower skin along the meridian section
in the vicinity of the ruin for a pressure p interns
max
. Geometrical nonlinear calculation.
- 20
- 10
0
10
20
30
0,
0
12
, 7
25
, 4
38
, 1
49
, 3
60
, 6
10
1,
8
Meridian length
p
node 1
node 27
node 57
node 87
node 137
Code_Aster
®
Version
5.0
Titrate:
SSNA301 Melts of pressurized thick tank
Date:
16/11/98
Author (S)
:
J.M. PROIX, L. LAMMERANT, J.P. DELSEMME
Key:
V6.01.301-A
Page:
6/14
Manual of Validation
V6.01 booklet: Nonlinear statics into axisymmetric
HI-75/01/010/A
Meridian length
Node
Position 1
There are 68 elements
(with nodes mediums)
and 137 nodes along
skin
Node
Position 137
Z
skin
lower
higher skin
Discretization used for the reference solution. Definition of the axes
Geometrical nonlinear calculation: pressure = p
max
Skin Length
meridian
(inch)
Position node
p
0.0 1
26.223
Higher 46.298
73 26.688
137.9 137
24.103
0.0 1
25.231
16.491 27
27.909
Lower 35.518
57 12.711
52.707 87
8.1652
134.76 137
25.103
Code_Aster
®
Version
5.0
Titrate:
SSNA301 Melts of pressurized thick tank
Date:
16/11/98
Author (S)
:
J.M. PROIX, L. LAMMERANT, J.P. DELSEMME
Key:
V6.01.301-A
Page:
7/14
Manual of Validation
V6.01 booklet: Nonlinear statics into axisymmetric
HI-75/01/010/A
Geometrical linear calculation: pressure = p
max
Skin Length
meridian
(inch)
Position node
p
0.0 1
26.2
Higher 45.1
71 30.7
138 137
24.0
0.0 1
25.231
22.833
37
29.899
Lower 32.981
53 16.127
52.707
87
13.756
134.76 137
25.008
Field of displacement (not A, lower skin)
Calculation… geometrical meridian Length
(inch)
Position
node
Pressure Displacement
U
Z
(inch)
Linear 0.0
1
0.5
pmax
0.100945
0.0
1
pmax
0.370468
Nonlinear
0.0
1
0.5 pmax
0.0990524
0.0
1
pmax
0.244347
2.3
Uncertainty on the solution
Uncertainty lower than 2% (linear mode), lower than 5% (elastoplastic mode).
2.4 References
bibliographical
[1]
LARSEN, P.K., POPOV, E.P., Elastic-plastic analysis off thick-walled presses vessels with
sharp discontinuities, Trans. ASME Applied Mechanics, p 1016-1019, 1971
[2]
NYSSEN, C., Modeling by finite elements of the nonlinear behavior of structures
aerospace, thesis of doctorate, University of Liege, 1979
Code_Aster
®
Version
5.0
Titrate:
SSNA301 Melts of pressurized thick tank
Date:
16/11/98
Author (S)
:
J.M. PROIX, L. LAMMERANT, J.P. DELSEMME
Key:
V6.01.301-A
Page:
8/14
Manual of Validation
V6.01 booklet: Nonlinear statics into axisymmetric
HI-75/01/010/A
3 Modeling
With
3.1
Characteristics of modeling A
Nonlinear material + linear geometrical
3.2
Characteristics of the mesh
A number of nodes:
2197
A number of meshs and types: 544 MEAXQU8 (diagram of integration 3 X 3) + 68 SEG3 (68 meshs on
the length (30 on the part with a radius of 100 '', 20 on the part with
a radius of 20 '' and 18 on the right part) and 8 on the thickness)
3.3 Functionalities
tested
Controls
Keys
DEFI_MATERIAU ECRO_LINE D_SIGM_EPSI
[U4.23.01]
SY
STAT_NON_LINE COMP_INCR RELATION VMIS_ISOT_LINE
[U4.32.01]
DEFORMATION
SMALL
Code_Aster
®
Version
5.0
Titrate:
SSNA301 Melts of pressurized thick tank
Date:
16/11/98
Author (S)
:
J.M. PROIX, L. LAMMERANT, J.P. DELSEMME
Key:
V6.01.301-A
Page:
9/14
Manual of Validation
V6.01 booklet: Nonlinear statics into axisymmetric
HI-75/01/010/A
4
Results of modeling A
4.1 Values
tested
Identification Reference
Aster
% difference
SIZZ/p Skin sup Long. Merid=0. p=pmax
26.2
26.218
0.071
SIZZ/p Skin sup Long. Merid=45.1 p=pmax
30.7
30.531
0.553
SIZZ/p Skin sup Long. Merid=138 p=pmax
24.0
24.011
0.553
SIZZ/p Skin inf Long. Merid=0. p=pmax
25.231
25.229
0.553
SIZZ/p Skin inf Long. Merid=22.833
p=pmax
29.899 29.957 0.553
SIZZ/p Skin inf Long. Merid=32.981
p=pmax
16.127 16.294 0.553
SIZZ/p Skin inf Long. Merid=52.707
p=pmax
13.756 13.699 0.553
SIZZ/p Skin inf Long. Merid=134.76
p=pmax
25.008 25.012 0.553
DY node 2313 with p=0.5 pmax
0.100945
0.100946
0.002
DY node 2313 with pmax
0.370468
0.370470
0.001
4.2 Parameters
of execution
Version: 3.09
Machine: CRAY
System:
Overall dimension memory:
16 Megawords
Time CPU To use:
360.52 seconds
Code_Aster
®
Version
5.0
Titrate:
SSNA301 Melts of pressurized thick tank
Date:
16/11/98
Author (S)
:
J.M. PROIX, L. LAMMERANT, J.P. DELSEMME
Key:
V6.01.301-A
Page:
10/14
Manual of Validation
V6.01 booklet: Nonlinear statics into axisymmetric
HI-75/01/010/A
5 Modeling
B
5.1
Characteristics of modeling B
Nonlinear material + nonlinear geometrical
5.2
Characteristics of the mesh
A number of nodes:
2197
A number of meshs and types: 544 MEAXQU8 (diagram of integration 3 X 3) + 68 SEG3 (68 meshs on
the length (30 on the part with a radius of 100 '', 20 on the part with
a radius of 20 '' and 18 on the right part) and 8 on the thickness)
5.3 Functionalities
tested
Controls
Keys
DEFI_MATERIAU ECRO_LINE D_SIGM_EPSI
[U4.23.01]
SY
STAT_NON_LINE COMP_INCR RELATION VMIS_ISOT_LINE
[U4.32.01]
DEFORMATION
PETIT_REAC
Code_Aster
®
Version
5.0
Titrate:
SSNA301 Melts of pressurized thick tank
Date:
16/11/98
Author (S)
:
J.M. PROIX, L. LAMMERANT, J.P. DELSEMME
Key:
V6.01.301-A
Page:
11/14
Manual of Validation
V6.01 booklet: Nonlinear statics into axisymmetric
HI-75/01/010/A
6
Results of modeling B
6.1 Values
tested
Identification Reference
Aster
% difference
SIZZ/p Skin sup Long. Merid=0. p=pmax
26.223
26.299
0.025
SIZZ/p Skin sup Long. Merid=45.298
p=pmax
26.688 27.156
1.756
SIZZ/p Skin sup Long. Merid=137.9 p=pmax
24.103
24.018
0.352
SIZZ/p Skin inf Long. Merid=0. p=pmax
25.231
25.236
0.021
SIZZ/p Skin inf Long. Merid=16.491
p=pmax
27.909 28.086 0.638
SIZZ/p Skin inf Long. Merid=35.518
p=pmax
12.711 13.095
3.026
SIZZ/p Skin inf Long. Merid=52.707
p=pmax
8.1652 8.426
3.196
SIZZ/p Skin inf Long. Merid=134.76
p=pmax
25.103 25.018 0.337
DY node 2313 with p=0.5 pmax
0.099052
0.099191
0.141
DY node 2313 with pmax
0.244347
0.246979
1.077
6.2 Parameters
of execution
Version: 3.09
Machine: CRAY
System:
Overall dimension memory:
16 megawords
Time CPU To use:
456.41secondes
Code_Aster
®
Version
5.0
Titrate:
SSNA301 Melts of pressurized thick tank
Date:
16/11/98
Author (S)
:
J.M. PROIX, L. LAMMERANT, J.P. DELSEMME
Key:
V6.01.301-A
Page:
12/14
Manual of Validation
V6.01 booklet: Nonlinear statics into axisymmetric
HI-75/01/010/A
7 Modeling
C
7.1
Characteristics of modeling C
All the meshs have a nonlinear behavior material, except the 8x5 meshs of the part
lower of the structure (this part does not plasticize) which has a linear behavior material.
A geometrical linear analysis is carried out.
7.2
Characteristics of the mesh
A number of nodes:
2197
A number of meshs and types: 544 MEAXQU8 (diagram of integration 3 X 3) + 68 SEG3 (68 meshs on
the length (30 on the part with a radius of 100 '', 20 on the part with
a radius of 20 '' and 18 on the right part) and 8 on the thickness)
7.3 Functionalities
tested
Controls
Keys
DEFI_MATERIAU ECRO_LINE D_SIGM_EPSI
[U4.23.01]
SY
STAT_NON_LINE COMP_INCR RELATION VMIS_ISOT_LINE
[U4.32.01]
DEFORMATION
SMALL
Code_Aster
®
Version
5.0
Titrate:
SSNA301 Melts of pressurized thick tank
Date:
16/11/98
Author (S)
:
J.M. PROIX, L. LAMMERANT, J.P. DELSEMME
Key:
V6.01.301-A
Page:
13/14
Manual of Validation
V6.01 booklet: Nonlinear statics into axisymmetric
HI-75/01/010/A
8
Results of modeling C
8.1 Values
tested
Identification Reference
Aster
% difference
SIZZ/p Skin sup Long. Merid=0. p=pmax
26.2
26.218
0.071
SIZZ/p Skin sup Long. Merid=45.1 p=pmax
30.7
30.531
0.553
SIZZ/p Skin sup Long. Merid=138 p=pmax
24.0
24.011
0.553
SIZZ/p Skin inf Long. Merid=0. p=pmax
25.231
25.229
0.553
SIZZ/p Skin inf Long. Merid=22.833
p=pmax
29.899 29.957 0.553
SIZZ/p Skin inf Long. Merid=32.981
p=pmax
16.127 16.294 0.553
SIZZ/p Skin inf Long. Merid=52.707
p=pmax
13.756 13.699 0.553
SIZZ/p Skin inf Long. Merid=134.76
p=pmax
25.008 25.012 0.553
DY node 2313 with p=0.5 pmax
0.100945
0.100946
0.002
DY node 2313 with pmax
0.370468
0.370470
0.001
8.2 Parameters
of execution
Version: 3.09
Machine: CRAY
System:
Overall dimension memory: 16 megawords
Time CPU To use:
196.02 seconds
Code_Aster
®
Version
5.0
Titrate:
SSNA301 Melts of pressurized thick tank
Date:
16/11/98
Author (S)
:
J.M. PROIX, L. LAMMERANT, J.P. DELSEMME
Key:
V6.01.301-A
Page:
14/14
Manual of Validation
V6.01 booklet: Nonlinear statics into axisymmetric
HI-75/01/010/A
9
Summary of the results
The results provided by Aster concerning modelings A and C are close to the reference
(variation < 0.6%). Moreover, one finds well the same results for modelings A and C; what
is normal because the lower part remains elastic.
For modeling B, variations of results between Code_Aster and reference (the SAMCEF software)
3.3% reach and come owing to the fact that nonthe geometrical linearities are treated in manner
different in Code_Aster (by the control `
PETIT_REAC
') and in the SAMCEF software.