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Code_Aster
®
Version
6.2
Titrate:
SSNL116 - Length of cable with gas insulation
Date:
19/08/02
Author (S):
J.M. PROIX, B. QUINNEZ, J.C. MASSO
Key
:
V6.02.116-A
Page:
1/4
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A
Organization (S):
EDF/AMA, SINETICS















Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
Document: V6.02.116



SSNL116 - Length of cable with gas insulation




Summary:

The problem is quasi-static nonlinear in mechanics of the structures.

One analyzes the behavior of a length of cable with gas insulation, hidden with a low depth
modelized by bars. The interaction with the ground is taken into account by elements of bar with
nonlinear behavior. In the vertical direction, this behavior is asymmetrical.

Only one modeling implements this IGC, whose mesh is obtained by an associated FORTRAN program
with the test.
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Code_Aster
®
Version
6.2
Titrate:
SSNL116 - Length of cable with gas insulation
Date:
19/08/02
Author (S):
J.M. PROIX, B. QUINNEZ, J.C. MASSO
Key
:
V6.02.116-A
Page:
2/4
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A
1
Problem of reference
1.1 Geometry
A section of C.I.G (agent to an experiment carried out on the site of the Renardières). The cable
is modelized by elements of beam of Euler. To modelize the behavior of the ground, with each
net line, one associates 6 bars: 3 in each node of the mesh. In each node, a bar
is directed in the same direction that the C.I.G, and allows to take into account the axial loads
ground on the C.I.G. A bar is directed according to the vertical, and makes it possible to take into account the action
(asymmetrical) of the ground following the vertical. Third is directed in order to supplement the trihedron.
The characteristics of the sections are:
Elements of BEAM: circular section, external Radius 0.25765, thickness 0.01
Elements of BAR: unspecified section, of A=1 surface (without physical significance)
1.2
Material properties
C.I.G
elasticity
E =
7.2E10 AP
= 0,3
=22.4E-6
plasticity of the beams
NP = 1.2699E6
MEY = 1.248E5,
MPY = 1.589E5,
CAY = 0.84,
CBY = 0.0012,
MEZ = 1.248E5,
MPZ = 1.589E5,
CAZ = 0.84,
CBZ = 0.0012,
MPX = 1.E10
plasticity with work hardening
of Fléjou
Ep=
3.7E10
Sy=
75.E6,
Known =
190.E6,
THEN = 0.29
Horizontal bars
elasticity
E = 5000000.Pa
= 0,3
= 0.
Linear work hardening
D_SIGM_EPSI
=
1000000 AP
SY = 5000. AP
Vertical bars
elasticity
E = 5000000.Pa
= 0,3
= 0.
Linear work hardening
DT_SIGM_EPSI =
1000000.,
SY_T =
5000.0000000000,
DC_SIGM_EPSI =
1000000.,
SY_C = 10000.0
PC02
PC01
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Code_Aster
®
Version
6.2
Titrate:
SSNL116 - Length of cable with gas insulation
Date:
19/08/02
Author (S):
J.M. PROIX, B. QUINNEZ, J.C. MASSO
Key
:
V6.02.116-A
Page:
3/4
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A
1.3
Boundary conditions and loadings
The ends (off-line to the IGC) of all the bars are locked. Point PC01 is
embedded. Point PC02 has all its locked DDL, except DZ for which one imposes the history of
displacement following:
Moment
DZ (m)
0
0
1
- 0.004
2
- 0.004
3
0.002
4
0.002

2
Reference solution
2.1
Method of calculation used for the reference solution
Solution of nonregression.

2.2
Results of reference
Values of vertical displacement and the normal bar tension vertical with the node
with T = 0.1, 1., 2.6 and 4s.
Moment Dz NR
0.1 ­ 4
10
­ 4
­ 2000
1. ­ 4
10
­ 3
­ 12000
2.6 ­ 4
10
­ 4
5200
4. 2
10
­ 3
7600

2.3
Uncertainty on the solution
Solution of nonregression.

2.4 References
bibliographical
[1]
J.C. MASSON, A. STROOBANT: “Study of displacements and the stresses due to
cyclic heating D `a buried model of Cable with Gas Insulation “Notes EDF
RETD HT-2C/99/22//A
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Code_Aster
®
Version
6.2
Titrate:
SSNL116 - Length of cable with gas insulation
Date:
19/08/02
Author (S):
J.M. PROIX, B. QUINNEZ, J.C. MASSO
Key
:
V6.02.116-A
Page:
4/4
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A
3 Modeling
With
3.1
Characteristics of modeling
Modeling: 10 elements of beam for the C.I.G, 60 elements of bar
3.2
Characteristics of the mesh
70 meshs SEG2
3.3 Functionalities
tested
Order
Key word factor
Simple key word
Argument
DEFI_MATERIAU
ECRO_FLEJOU
DEFI_MATERIAU
ECRO_ASYM_LINE
VMIKS_POUTRE
STAT_NON_LINE
COMP_INCR
RELATION
VMIS_ASYM_LINE
COMP_INCR
RELATION
VMIS_POU_FLEJOU
COMP_INCR
RELATION
VMIS_ISOT_LINE


4
Results of modeling A
4.1 Values
tested
Vertical displacement Dz, at point PC02
Moment Reference
Aster %
difference
0.1 ­ 4
10
­ 4
­ 4
10
­ 4
0
1. ­ 4
10
­ 3
­ 4
10
­ 3
0
2.6 ­ 4
10
­ 4
­ 4
10
­ 4
0
4. 2
10
­ - 3
2
10
­ 3
0
Normal effort NR, at point PC02, in the vertical bar.
Moment Reference
Aster %
difference
0.1 ­ 2000
­ 2000
0
1. ­ 12000
­ 12000
0
2.6 5200
5200
0
4. 7600
7600
0
4.2 Remarks
The program making it possible to build the mesh as well as the data of this program are
associated the test (files ssnl116a.38 and ssnl116a.39).


5
Summary of the results
This test makes it possible to validate the behavior
VMIS_ASYM_LINE
on a real structure.