Code_Aster ®
Version
5.0
Titrate:
SSLS501 - Infinitely long Cylindre subjected to two lines of load
Date:
01/10/01
Author (S):
P. MASSIN, F. LEBOUVIER Key
:
V3.03.501-A Page:
1/6

Organization (S): EDF/MTI/MN, DeltaCAD

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
Document: V3.03.501

SSLS501 - Subjected infinitely long Cylindre
with two lines of load

Summary:

This test represents a quasi-static calculation of an infinitely long cylinder subjected to two lines of load
diametrically opposite. It makes it possible to validate modeling finite elements COQUE_D_PLAN with catch in
count variation of curvature between the under-surface and suction face (AFFE_CARA_ELEM:MODI_METRIQUE).

Displacements and the efforts obtained are compared with an analytical reference solution.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSLS501 - Infinitely long Cylindre subjected to two lines of load
Date:
01/10/01
Author (S):
P. MASSIN, F. LEBOUVIER Key
:
V3.03.501-A Page:
2/6

1
Problem of reference

1.1 Geometry
y, v
, y
Q
X
X, U
, X
Radius: R = 1 m
Thickness: H = 0.1 m
, Z
R
Z, W



1.2
Properties of material

The properties of material constituting the cylinder are:

E = 105 Pa
Young modulus
= 0
Poisson's ratio

1.3
Boundary conditions and loadings

·
CL: displacement following Z is null for the whole of the points of the cylinder
·
Force per unit of length: Q = ­ 1.5 NR/m

1.4 Conditions
initial

Without object

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSLS501 - Infinitely long Cylindre subjected to two lines of load
Date:
01/10/01
Author (S):
P. MASSIN, F. LEBOUVIER Key
:
V3.03.501-A Page:
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2
Reference solution

2.1
Method of calculation used for the reference solution

The reference solution obtained by KOITER-SANDERS [bib1] [bib2] is based on the theory of
deep hulls.

2.2
Results of reference

The results of reference are:

·
Displacement following y to point a: ­ 13.455
10-3 m
·
Displacement following X to point b: 12.255
10-3 m
·
Normal effort at point A
: 0.0
NR
·
Bending moment at point A
:
­ 0.477 N.m

2.3
Uncertainties on the solution

Analytical solution

2.4 References
bibliographical

[1]
GEOFFROY P.: “Development and evaluation of a finite element for the non-linear analysis
statics and dynamics of thin hulls ", Thèse de Docteur Ingénieur UTC, 1983.
[2]
BATOZ J.L. : “Non-linear Analysis of the elastic thin hulls of arbitrary form by
curved triangular elements ", Thèse of science doctorate (pH. D thesis), Département
of civil engineering, Université Laval, Quebec, Mars 1977.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSLS501 - Infinitely long Cylindre subjected to two lines of load
Date:
01/10/01
Author (S):
P. MASSIN, F. LEBOUVIER Key
:
V3.03.501-A Page:
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3 Modeling
With

3.1
Characteristics of modeling

Grid of the arc of circle AB with 32 finite elements of type COQUE_D_PLAN

y, v
F
With
Conditions of symmetry:
32
- Not a: U = =0
Z
- Not b: v = =0
Z
B
X, U
Loading:
Z
- Not a: F = Q/2
Z


3.2
Characteristics of the grid

A number of nodes: 17
A number of meshs and type: 8 SEG3

3.3 Functionalities
tested

Commands Key word
factor Word-key
AFFE_MODELE AFFE
“COQUE_D_PLAN”
AFFE_CARA_ELEM HULL
EPAIS
A_CIS: 0.833
MODI_METRIQUE: “OUI”
AFFE_CHAR_MECA FORCE_NODALE
FY




Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSLS501 - Infinitely long Cylindre subjected to two lines of load
Date:
01/10/01
Author (S):
P. MASSIN, F. LEBOUVIER Key
:
V3.03.501-A Page:
5/6

4
Results of modeling A

4.1 Values
tested

Identification Reference
Aster %
difference
Displacement following y to the point
­ 13.455 E3 m
­ 13.603 E3
1.099
With
Displacement following X to the point
12.255 E3 m
12.360 E3
0.857
B
Normal effort at point A
0.0 NR
­ 0.183
*****
Bending moment at point A
­ 0.477 N.m
­ 0.478
0.210

4.2 Parameters
of execution

Version:
NEW 5.04.17

Machine:
SGI-Origin2000 R12000

Obstruction memory:
16 megabytes
Time CPU To use: 1.31 seconds
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSLS501 - Infinitely long Cylindre subjected to two lines of load
Date:
01/10/01
Author (S):
P. MASSIN, F. LEBOUVIER Key
:
V3.03.501-A Page:
6/6

5
Summary of the results

As a whole, the results obtained are very satisfactory:

·
the maximum change is 1.1%. on displacements,
·
the maximum change is 0.21% at the bending time.

The value of the normal effort is far away from the reference solution. The result would be more precise if one
used a finer grid [bib1].
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A

Outline document