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Research Papers: Pipeline Systems

Asymptotic Analysis for Buckling of Undersea Corroded Pipelines

[+] Author and Article Information
Jianghong Xue

Department of Mechanics and Civil Engineering, Jinan University, Guangzhou, Guangdong, 510632, P.R.C.txuej@jnu.edu.cn

J. Pressure Vessel Technol 130(2), 021705 (Mar 19, 2008) (6 pages) doi:10.1115/1.2894293 History: Received March 15, 2007; Revised October 04, 2007; Published March 19, 2008

This paper deals with the buckling phenomenon of undersea corroded pipelines. The corrosion degree of the pipelines is characterized by two parameters: the angular extension and the corrosion depth. Previous work has shown that symmetric and antisymmetric buckling modes occur in pipelines when the corrosion is uniformly extended over part of pipelines along the circumferential direction. The presented research analyzes the stability condition in pipelines with generalized corrosion. Using WKB theory for asymptotic expansion, the buckling mode and the eigenfunctions are derived for the corroded pipelines subjected to external hydrostatic pressure. Furthermore, asymptotic solutions are derived for pipelines with constant corrosion and compared with validated solutions obtained in previous work using equilibrium analysis. It shows that the buckling modes and buckling pressure from asymptotic analysis are identical to the exact solutions. Symmetric and antisymmetric buckling modes are found to occur for pipelines when the corrosion is not uniform but symmetric about its centerline.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Cross section of pipeline with generalized corrosion

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Figure 2

Variation of buckling pressure Pcr with respect to d∕t0 for several β (— represents analytical solutions, ▴ denotes finite element results)

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Figure 3

Buckling modes obtained from analytical solutions and ABAQUS results for β=30deg

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Figure 4

Buckling modes obtained from analytical solutions and ABAQUS results for β=60deg

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