Code_Aster ®
Version
6.2
Titrate:
SSNL116 - Tronçon of cable with gas insulation


Date:
19/08/02
Author (S):
J.M. PROIX, B. QUINNEZ, J.C. Key MASSO
:
V6.02.116-A Page:
1/4

Organization (S): EDF/AMA, SINETICS

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

SSNL116 - Tronçon 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
modelled 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 grid is obtained by an associated FORTRAN program
with the test.
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A

Code_Aster ®
Version
6.2
Titrate:
SSNL116 - Tronçon of cable with gas insulation


Date:
19/08/02
Author (S):
J.M. PROIX, B. QUINNEZ, J.C. Key MASSO
:
V6.02.116-A Page:
2/4

1
Problem of reference

1.1 Geometry

A section of C.I.G (correspondent to an experiment carried out on the site of the Renardières). The cable
is modelled by elements of beam of Euler. To model 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.
PC02
PC01

The characteristics of the sections are:

Elements of POUTRE: circular section, external Rayon 0.25765, thickness 0.01
Elements of BARRE: unspecified section, of A=1 surface (without physical significance)

1.2
Material properties

C.I.G



elasticity
E = 7.2E10 Pa
= 0,3
=22.4E-6
plasticity of the beams
NP = 1.2699E6
MEY = 1.248E5,
MEZ = 1.248E5,
MPX = 1.E10

MPY = 1.589E5,
MPZ = 1.589E5,
CAY = 0.84,
CAZ = 0.84,
CBY = 0.0012,
CBZ = 0.0012,
plasticity with work hardening
Ep=3.7E10 Sy=75.E6,
Known = 190.E6,
PUISS = 0.29
of Fléjou


Horizontal bars




elasticity
E = 5000000.Pa = 0,3
= 0.

Linear work hardening
D_SIGM_EPSI
= SY = 5000. Pa


1000000 Pa
Vertical bars




elasticity
E = 5000000.Pa = 0,3
= 0.

Linear work hardening
DT_SIGM_EPSI = SY_T =
DC_SIGM_EPSI = SY_C = 10000.0
1000000.,
5000.0000000000, 1000000.,
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A

Code_Aster ®
Version
6.2
Titrate:
SSNL116 - Tronçon of cable with gas insulation


Date:
19/08/02
Author (S):
J.M. PROIX, B. QUINNEZ, J.C. Key MASSO
:
V6.02.116-A Page:
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1.3
Boundary conditions and loadings

The ends (off-line to the IGC) of all the bars are blocked. Point PC01 is
embedded. Point PC02 has all its blocked 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
10­4 ­ 2000
1. ­ 4
10­3 ­ 12000
2.6 ­ 4
10­4 5200
4. 2
10­3 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 constraints due to
cyclic heating D `a buried model of Câble with Isolation Gazeuse “Note EDF
RETD HT-2C/99/22//A
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A

Code_Aster ®
Version
6.2
Titrate:
SSNL116 - Tronçon of cable with gas insulation


Date:
19/08/02
Author (S):
J.M. PROIX, B. QUINNEZ, J.C. Key MASSO
:
V6.02.116-A Page:
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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 grid

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
10­4 ­ 4
10­4 0
1. ­ 4
10­3 ­ 4
10­3 0
2.6 ­ 4
10­4 ­ 4
10­4 0
4. 2
10­-3 2
10­3 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 grid 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 behavior VMIS_ASYM_LINE on a real structure.
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A

Outline document