Research Papers: Piper and Riser Technology

A Global Energy Approach for Analysis of a Propagating Buckle in Submarine Pipelines

[+] Author and Article Information
Mingqiao Tang

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

Jianghong Xue

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

Renhuai Liu

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

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received December 9, 2013; final manuscript received June 20, 2014; published online September 15, 2014. Assoc. Editor: Myung Hyun Kim.

J. Offshore Mech. Arct. Eng 136(4), 041701 (Sep 15, 2014) (8 pages) Paper No: OMAE-13-1118; doi: 10.1115/1.4028339 History: Received December 09, 2013; Revised June 20, 2014

This paper presents a unique approach to analyze the steady-state buckle propagation phenomenon in underwater pipelines. In previous work, we restudied the buckling of a very long pipeline subjected to external pressure and found that buckling happens only over a certain length of the pipeline. In this paper, the collapse mode of the pipeline obtained in previous studies is taken as the transition zone during steady-state buckle propagation. Kinematics in the transition zone is analyzed based on von Kármán–Donnell type of nonlinearity. Assuming linear elastic rigid plastic material properties, the mechanical responses in the transition zone are examined using the deformation theory. Two parameters, the yield coefficient and the membrane stretching factor, are introduced to depict the effects of transversal bending and the membrane stretching, respectively. Analytical solution of buckle propagation pressure is derived by considering the energy conversation calculated from shell theory. It is found that the buckle propagation performance is governed by the transversal bending, including the circumferential bending and longitudinal bending. The membrane stretching is significant only for thick wall pipeline, in particular when the ratio of radius-to thickness is small than ten. The analysis is in effect by comparing the obtained solutions with the well-established predictions and the experimental results.

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Grahic Jump Location
Fig. 1

Local buckling in a long cylindrical shell subjected to external pressure

Grahic Jump Location
Fig. 2

The geometry and the coordinate axes of a long cylindrical shell

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Fig. 3

Distribution of the bending stress σy(b) along the thickness direction of the pipeline

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Fig. 4

Variation of the yield coefficient m with respect to the R/h for several value of σ0/E

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Fig. 5

Variation of the membrane stretching factor n with respect to the R/h

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Fig. 6

The response of the normalized buckle propagation pressure p¯p with respect to the ratio of R/h



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