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Research Papers: Design and Analysis

# Prediction of Burst Pressure of Pipes With Geometric Eccentricity

[+] Author and Article Information
Zhanfeng Chen

Shanghai Institute of Applied Mathematics
and Mechanics,
Shanghai University,
Shanghai 200072, China
Shanghai Key Laboratory
of Mechanics in Energy Engineering,
Shanghai University,
Shanghai 200072, China

Weiping Zhu

Shanghai Institute of Applied Mathematics
and Mechanics,
Shanghai University,
Shanghai 200072, China
Shanghai Key Laboratory
of Mechanics in Energy Engineering,
Shanghai University,
Shanghai 200072, China
e-mail: wpzhu@shu.edu.cn

Qinfeng Di

Shanghai Institute of Applied Mathematics
and Mechanics,
Shanghai University,
Shanghai 200072, China
Shanghai Key Laboratory of
Mechanics in Energy Engineering,
Shanghai University,
Shanghai 200072, China
e-mail: qinfengd@sina.com

Wenchang Wang

Shanghai Institute of
Applied Mathematics and Mechanics,
Shanghai University,
Shanghai 200072, China
Shanghai Key Laboratory of
Mechanics in Energy Engineering,
Shanghai University,
Shanghai 200072, China

1Corresponding authors.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received January 4, 2013; final manuscript received February 1, 2015; published online April 16, 2015. Assoc. Editor: Spyros A. Karamanos.

J. Pressure Vessel Technol 137(6), 061201 (Dec 01, 2015) (8 pages) Paper No: PVT-13-1004; doi: 10.1115/1.4029792 History: Received January 04, 2013; Revised February 01, 2015; Online April 16, 2015

## Abstract

An analytical model was proposed in this paper to predict the burst pressure of a pipe with geometric eccentricity. With application of the complex elastic potential function method in a bipolar coordinate system, the authors first derived an analytical solution of stresses in an eccentric pipe and then obtained the formula of predicting burst pressure by combining the solution with the Tresca criterion. Finally, the effect of eccentricity and the ratio of thickness to diameter of pipe on burst pressure were discussed. Our results show that a slight eccentricity can significantly decrease the burst pressure. In the special case of zero-eccentricity for a concentric pipe, our model yields results that are consistent with experiments data published by others and theoretical results predicted by models proposed by other researchers without considering the effect of eccentricity. In the case of eccentricity for an eccentric pipe, the calculating results of our model are also consistent with that of finite element model (FEM). The theoretical model and results presented in this paper have a broader application in predicting the burst pressure for pipes commonly used in oil and gas industry.

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Topics: Pressure , Pipes , Stress

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## Figures

Fig. 1

Geometric description of an eccentric pipe’s cross section

Fig. 2

Illustration of the bipolar coordinate system

Fig. 3

Comparisons of the two dimensionless functions ln(k) and φe(k) in Eqs. (28) and (29)

Fig. 4

Comparisons of the burst experiments and the present predictions from Table 1

Fig. 5

Effect of eccentricity on pipe burst pressure. (a) Burst pressure ratio versus eccentricity and (b) burst pressure ratio versus thickness to diameter ratio

## Errata

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