Code_Aster
®
Version
4.0
Titrate:
Thin SSL127 bored or bent Section
Date:
19/01/98
Author (S):
P. MASSIN, J.R. LEVESQUE
Key:
V3.03.027-C
Page:
1/6
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/96/028 - Ind A
Organization (S):
EDF/IMA/MN
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
Document: V3.03.027
SSLS27 - Bored or bent thin section
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 (bending) 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.
Code_Aster
®
Version
4.0
Titrate:
Thin SSL127 bored or bent Section
Date:
19/01/98
Author (S):
P. MASSIN, J.R. LEVESQUE
Key:
V3.03.027-C
Page:
2/6
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/96/028 - Ind A
1
Problem of reference
1.1 Geometry
With
L
D
Z
y
C
X
B
E
B
case 1
C
case 2
C
B
B
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. 10
11
AP
= 0.25
1.3
Boundary conditions and loadings
Embedded side AD:
any point P such as X
p
= 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
Fz
B
= 1 NR
Fz
C
= +1 NR
2) out of B and C: of the same forces feel parallel with axis Z
Fz
B
= +1 NR
Fz
C
= +1 NR
Code_Aster
®
Version
4.0
Titrate:
Thin SSL127 bored or bent Section
Date:
19/01/98
Author (S):
P. MASSIN, J.R. LEVESQUE
Key:
V3.03.027-C
Page:
3/6
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/96/028 - Ind A
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 10
7
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
.
Displacement of all the nodes on the side BC:
W
F
E I
L
Z
=
6
2
3
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 Methods Element in the commercial Environment, vol. 1, (October
1978).
[2]
J.L. BATOZ, Mr. B. TAHAR “Evaluation off new quadrilateral thin punt boundary element”
International Newspaper for Numerical Methods in Engineering, vol. 18, John Wiley & Sounds
(1982).
[3]
R.J. ROARK, W.C. YOUNG “Formulated for Stress and Strain” New York: Mc Graw-Hill,
5° edition, p 96.
Code_Aster
®
Version
4.0
Titrate:
Thin SSL127 bored or bent Section
Date:
19/01/98
Author (S):
P. MASSIN, J.R. LEVESQUE
Key:
V3.03.027-C
Page:
4/6
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/96/028 - Ind A
3 Modeling
With
3.1
Characteristics of modeling
Element of hull DKT
40
27
14
1
With
53
2
3
4
5
6
7
8
9
10
11
12
13
26
52
65
54
55
56
57
58
59
60
61
62
63
64
D
C
B
y
39
X
E
Cutting:
12 in length
4 in width ==>
96 meshs SORTED 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 mesh
A number of nodes: 65
A number of meshs and types: 96 TRIA3
3.3 Functionalities
tested
Controls
Keys
AFFE_CARA_ELEM
HULL
[U4.24.01]
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
FORCE_NODALE
GROUP_NO
AFFE_MATERIAU
ALL
[U4.23.02]
Code_Aster
®
Version
4.0
Titrate:
Thin SSL127 bored or bent Section
Date:
19/01/98
Author (S):
P. MASSIN, J.R. LEVESQUE
Key:
V3.03.027-C
Page:
5/6
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/96/028 - Ind A
4
Results of modeling A
4.1 Values
tested
Case of
charge
Not
Size and unit
Reference
Aster
% difference
B
3.537 10
6
3.5243 10
6
0.36
1
E
displacement W (m)
3. 10
14
C
3.537 10
6
3.5243 10
6
0.36
B
1.0950 10
3
0.99
2
E
displacement W (m)
1.1059 10
3
1.0950 10
3
0.99
C
1.0950 10
3
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
Overall dimension memory:
8 megawords
Time CPU To use:
8.5209 seconds
Code_Aster
®
Version
4.0
Titrate:
Thin SSL127 bored or bent Section
Date:
19/01/98
Author (S):
P. MASSIN, J.R. LEVESQUE
Key:
V3.03.027-C
Page:
6/6
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/96/028 - Ind A
5
Summary of the results
·
Suitable solution for a fine network.
·
To supplement later on by a less fine mesh and to extend to other elements (DKQ, DST,
DSQ, Q4G).