In this paper, a numerical study of the dynamic buckle propagation, initiated in long pipes under external pressure, is presented. For a long pipe, due to the high exerted pressure, local instability is likely to occur; therefore, the prevention of its occurrence and propagation are very important subjects in the design of pipelines. The 3D finite element modeling of the buckle propagation is presented by considering the inertia of the pipeline and the nonlinearity introduced by the contact between its collapsing walls. The buckling and collapse are assumed to take place in the vacuum. The numerical results of the nonlinear finite element analysis are compared with the experimental results obtained by Kyriakides and Netto (2000, “On the Dynamics of Propagating Buckle in Pipelines,” Int. J. Solids Struct., 37, pp. 6843–6878) from a study on the small-scale models. Comparison shows that the finite element results have very close agreement with those of the experimental study. Therefore, it is concluded that the finite element model is reliable enough to be used for nonlinear collapse analysis of the dynamic buckle propagation in the pipelines. In this study, the effects of external pressure on the velocity of dynamic buckle propagation for different diameter to thickness ratios are investigated. In addition, the mathematical relations, based on the initiation pressure, are derived for the velocity of buckle propagation considering the diameter to thickness ratio of the pipeline. Finally, a relation for the buckle velocity as a function of the pressure and diameter to thickness ratio is presented.

References

References
1.
Kyriakides
,
S.
, and Corona, E.,
2007
,
Mechanics of Offshore Pipelines
, Vol. 1: Buckling and Collapse,
Elsevier, Cambridge, MA
.
2.
Talebpour
,
R.
,
Abedi
,
K.
, and
Gharabaghi
,
A. R. M.
,
2006
, “
Buckle Propagation in Pipelines Under Non-Uniform Pressure
,”
Proceedings of the 25th International Conference on Offshore Mechanics and Arctic Engineering
,
Hamburg, Germany
, Paper No. OMAE-92419.
3.
Kyriakides
,
S.
, and
Bobcock
,
C. D.
,
1981
, “
Experimantal Determination of the Propagation Pressure of Circular Pipes
,”
ASME J. Pressure Vessel Technol.
,
103
, pp.
328
336
.10.1115/1.3263410
4.
Dyau
,
J. Y.
, and
Kyriakides
,
S.
,
1993
, “
On the Propagation Pressure of Long Cylindrical Shells Under External Pressure
,”
Int. J. Mech. Sci.
,
35
, pp.
675
687
.10.1016/0020-7403(93)90018-P
5.
Kyriakides
,
S.
, and
Bobcock
,
C. D.
,
1979
, “
On the Dynamics and the Arrest of the Propagation Buckle in Offshore Pipelines
,”
Proceedings of the Offshore Technology Conference
,
Houston, TX
, Paper No. OTC 3479, pp. 1035–1040.
6.
Song
,
H. W.
, and
Tassoulas
,
J. L.
,
1993
, “
Finite Element Analysis of Propagating Buckles
,”
Int. J. Numer. Methods Eng.
,
36
, pp.
3529
3552
.10.1002/nme.1620362008
7.
Kyriakides
,
S.
, and
Netto
,
T. A.
,
2000
, “
On the Dynamics of Propagating Buckle in Pipelines
,”
Int. J. Solids Struct.
,
37
(
7
), pp.
6843
6867
.10.1016/S0020-7683(99)00317-0
8.
Kyriakides
,
S.
,
1994
,”
Propagating Instabilities in Structures
,”
Adv. Appl. Mech.
,
30
, pp.
67
189
.10.1016/S0065-2156(08)70174-1
9.
Kyriakides
,
S.
,
Park
,
T. D.
, and
Netto
,
T. A.
,
1998
, “
On the Design of Integral Buckle Arrestors for Offshore Pipelines
,”
Appl. Ocean Res.
,
20
, pp.
95
104
.10.1016/S0141-1187(98)00007-8
10.
Chater
,
E.
, and
Hutchinson
,
J. W.
,
1984
On the Propagation of Bulges and Buckles
,”
J. Appl. Mech.
,
51
, pp.
269
277
.10.1115/1.3167611
11.
Kyriakides
,
S.
, and
Bobcock
,
C. D.
,
1993
, “
Buckle Propagation Phenomena in Pipelines
,”
Collapse: The Buckling of Structures in Theory and Practise
,
J. M. T.
Thompson
and
G. W.
Hunt
, eds.,
Cambridge University
,
Cambridge, UK
.
12.
Mesloh
,
R.
,
Johns
,
T. G.
, and
Sorenson
,
J. E.
,
1976
, “
The Propagation Buckle
,”
Proceedings of BOSS 76
, Vol. 1, pp.
787
797
.
13.
Nogueria
,
A. C.
, and
Tassoulas
,
J. L.
,
1995
, “
Finite Element Analysis of Buckle Propagation in Pipelines Under Tension
,”
Int. J Mech. Sci.
,
37
(
3
), pp.
249
259
.10.1016/0020-7403(94)00072-R
14.
Zhi-Hong
,
I.
, and
Yu-Ying
,
H.
,
1994
, “
On the Velocity of Buckle Propagation in a Beam on a Nonlinear Elastic Foundation
,”
Int. J. Solids Struct.
,
31
(
23
), pp.
3315
3322
.10.1016/0020-7683(94)90102-3
15.
Hoo Fatt
,
M. S.
,
1998
, “
Plastic Failure of Pipelines
,”
Proceeding of the 8th International Offshore and Polar Engineering Conference
,
Montreal, Canada
, Vol. 2, pp.
119
126
.
16.
Assanelli
,
A. P.
,
Toscano
,
R. G.
,
Johnson
,
D. H.
, and
Dvorkin
,
E. N.
,
2000
, “
Experimental/Numerical Analysis of the Collapse Behavior of Steel Pipes
,”
Eng. Comput.
,
17
, pp.
459
486
.10.1108/02644400010334856
17.
Lee
,
L.-H.
, and
Kyriakides
,
S.
,
2004
, “
On the Arresting Efficiency of Slip-On Buckle Arrestors for Offshore Pipelines
,”
Int. J. Mech. Sci.
,
46
, pp.
1035
1055
.10.1016/j.ijmecsci.2004.07.009
18.
Netto
,
T. A.
,
1998
, “
On the Dynamics and Arrest of Propagating Buckle in OffShore Pipelines
,”
Ph.D. thesis
,
University of Texas at Austin
.
19.
Kyriakides
,
S.
,
Yeh
,
M. K.
, and
Roach
,
D.
,
1984
, “
On the Determination of the Propagation Pressure of Long Circular Tubes
,”
ASME J. Pressure Vessel Technol.
,
106
, pp.
150
159
.10.1115/1.3264322
20.
American Petroleum Institute
,
1993
,
API Recommended Practice 1111: Design, Construction, Operation and Maintenance of Offshore Hydrocarbon Pipelines (Limit State Design)
,
3rd ed,
API
,
Washington, DC
.
You do not currently have access to this content.