Code_Aster ®
Version
4.0
Titrate:
Thin SSL127 Plaque bored or bent
Date:
19/01/98
Author (S):
P. MASSIN, J.R. LEVESQUE
Key:
V3.03.027-C Page:
1/6
Organization (S): EDF/IMA/MN
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
Document: V3.03.027
SSLS27 - Bored or bent thin Plaque
Summary:
The test, taken again guide VPCS, makes it possible to check the behavior of an embedded plane plate subjected to sound
loose lead with two nodal forces of the same sign (inflection) or of opposite sign (torsion).
The first loading constitutes an extension of the initial test for which a reference solution is given
in [bib3]. Only one modeling in element DKT.
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/96/028 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Thin SSL127 Plaque bored or bent
Date:
19/01/98
Author (S):
P. MASSIN, J.R. LEVESQUE
Key:
V3.03.027-C Page:
2/6
1
Problem of reference
1.1 Geometry
Z
y
D
C
C
C
E
B
X
With
B
B
B
L
case 1
case 2
Length
L = 12 m
Width
B = 1 m
Thickness
T = 0.05 m
Co-ordinates of the points (in m):
With
B
C
D
E
X
0.
12.
12.
0.
12.
y
­ 0.5
­ 0.5
0.5
0.5
0.
Z
0.
0.
0.
0.
0.
1.2
Material properties
E = 1. 1011 Pa
= 0.25
1.3
Boundary conditions and loadings
Embedded side AD:
any point P such as xp = 0 (U = v = W = 0 X = y = Z = 0)
Loading: 2 loading cases
1) out of B and C: opposite forces parallel with axis Z
FzB = ­ 1 NR
FzC = +1 NR
2) out of B and C: of the same forces feel parallel with axis Z
FzB = +1 NR
FzC = +1 NR
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/96/028 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Thin SSL127 Plaque bored or bent
Date:
19/01/98
Author (S):
P. MASSIN, J.R. LEVESQUE
Key:
V3.03.027-C Page:
3/6
2
Reference solution
2.1
Method of calculation used for the reference solution
· Opposite forces perpendicular to the plate [bib1], [bib2]
The reference solution is that given in card SSLS27/89 of guide VPCS:
Displacement of the point C: W = 35.37 10­7 m
· Of the same forces feel perpendicular to the plate [bib3]
The formulation in beam of Euler gives a solution approached for a Poisson's ratio
.
F
3
Displacement of all the nodes on the side BC: W =
2 L
6th Iz
2.2
Results of reference
Displacement of the points B, C and E.
2.3
Uncertainty on the solution
Analytical solution.
2.4 References
bibliographical
[1]
J. ROBINSON “Element evaluation. With set off assessment shares and standard tests”
Proceedings off Finite Element Methods in the commercial Environment, Vol. 1, (October
1978).
[2]
J.L. BATOZ, Mr. B. TAHAR “quadrilateral Evaluation off new thin punt boundary element”
International Journal for Numerical Methods in Engineering, Vol. 18, John Wiley & Sons
(1982).
[3]
R.J. ROARK, W.C. YOUNG “Formulas for Stress and Strain” New York: Mc Graw-Hill,
5° edition, p 96.
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/96/028 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Thin SSL127 Plaque bored or bent
Date:
19/01/98
Author (S):
P. MASSIN, J.R. LEVESQUE
Key:
V3.03.027-C Page:
4/6
3 Modeling
With
3.1
Characteristics of modeling
Element of hull DKT
y
53
54
55
56
57
58
59
60
61
62
63
64
65
D
C
40
52
E
27
39
X
14
26
With
B
1
2
3
4
5
6
7
8
9
10
11
12
13
Cutting:
12 in length
4 in width ==>
96 meshs TRIA 3
with symmetry by report/ratio 0X centers
Twinge
transverse
B/4 T = 5
longitudinal
L/12t = 20
Limiting conditions:
in all the nodes on the side AD
DDL_IMPO:(GROUP_NO: AD DX:0., DY:0., DZ:0., DRX:0., DRY:0., DRZ:0.)
Loading:
1) FORCE_NODALE (GROUP_NO: B Fz: ­ 1.) (GROUP_NO: C Fz: +1.)
2) FORCE_NODALE (GROUP_NO: B, C) Fz: +1.))
Name of the nodes:
Not A = N1
Not C = N65
Not E = N39
Not B = N13
Not D = N53
3.2
Characteristics of the grid
A number of nodes: 65
A number of meshs and types: 96 TRIA3
3.3 Functionalities
tested
Commands
Keys
AFFE_CARA_ELEM
COQUE
[U4.24.01]
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
FORCE_NODALE
GROUP_NO
AFFE_MATERIAU
TOUT
[U4.23.02]
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/96/028 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Thin SSL127 Plaque bored or bent
Date:
19/01/98
Author (S):
P. MASSIN, J.R. LEVESQUE
Key:
V3.03.027-C Page:
5/6
4
Results of modeling A
4.1 Values
tested
Case of
Not
Size and unit
Reference
Aster
% difference
charge
B
­ 3.537 10­6
­ 3.5243 10­6
0.36
1
E
displacement W (m)
­ 3. 10­14
C
3.537 10­6
3.5243 10­6
0.36
B
1.0950 10­3
0.99
2
E
displacement W (m)
1.1059 10­3
1.0950 10­3
0.99
C
1.0950 10­3
0.99
Contents of the file results
Displacements with the nodes for each loading case.
4.2 Parameters
of execution
Version: 3.02.11
Machine: CRAY C98
System:
UNICOS 8.0
Obstruction memory:
8 megawords
Time CPU To use:
8.5209 seconds
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/96/028 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Thin SSL127 Plaque bored or bent
Date:
19/01/98
Author (S):
P. MASSIN, J.R. LEVESQUE
Key:
V3.03.027-C Page:
6/6
5
Summary of the results
· Suitable solution for a fine network.
· To supplement later on by a less fine grid and to extend to other elements (DKQ, DST,
DSQ, Q4G).
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/96/028 - Ind A