Research Papers

Postbuckling Analysis of the Length of Transition Zone in a Buckle Propagating Pipeline

[+] Author and Article Information
Jianghong Xue

Department of Mechanics and Civil Engineering,
Key Lab of Disaster Forecast
and Control in Engineering,
Ministry of Education,
Jinan University,
Guangzhou 510632, China
e-mail: txuej@jnu.edu.cn

1Corresponding author.

Manuscript received July 26, 2011; final manuscript received January 8, 2013; accepted manuscript posted January 31, 2013; published online July 12, 2013. Assoc. Editor: Vikram Deshpande.

J. Appl. Mech 80(5), 051002 (Jul 12, 2013) (6 pages) Paper No: JAM-11-1256; doi: 10.1115/1.4023535 History: Received September 23, 2012; Revised January 11, 2013; Accepted January 31, 2013

When a buckle is initiated in a pipe subjected to external pressure, it will propagate along the longitudinal direction of the pipe if the external pressure is greater than its buckle propagation pressure. For a steady state condition, the propagation is simply considered as the translation of the buckle along the pipeline. This paper presents a unique approach to determine the length of the transition zone in a buckle propagating pipe by analyzing the mechanism of postbuckling of the pipe subjected to the external pressure. Buckling is considered to occur locally in the shell, spreading over a certain length along the longitudinal axis of the shell. The governing equations are derived from the postbuckling theory. Approximate solutions are obtained from the Ritz method, using a plausible function of the flexural displacement created based on Timoshenko's ring solution of the transverse collapse mode. The postbuckling equilibrium path shows that the pipeline experiences unstable collapse until the two opposite points on the inner surface contact each other. The length of the transition zone is found to be proportional to the ratio of (radius)3/2/(thickness)1/2 and is hardly affected by the material properties. The analysis is performed by comparing the obtained results with well-established predictions.

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Grahic Jump Location
Fig. 1

Illustration of local buckling in an infinitely long pipeline

Grahic Jump Location
Fig. 2

Local buckling in a long cylindrical shell subjected to external pressure

Grahic Jump Location
Fig. 3

Variations of the normalized pressure (p/E)(h/R)3, with respect to the normalized buckling amplitude w¯1, for several values of h/R



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