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On-line Access: 2022-05-23

Received: 2021-09-30

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Sun-ting YAN


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Journal of Zhejiang University SCIENCE A 2022 Vol.23 No.5 P.358-374


An analytical investigation of the collapse of asymmetrically corroded pipes under external pressure

Author(s):  Sun-ting YAN, Ping TANG, Zhang-wei LING, Yong-gui CHEN

Affiliation(s):  Zhejiang Academy of Special Equipment Science, Hangzhou 310020, China

Corresponding email(s):   yansunting@zju.edu.cn

Key Words:  Pipe, Corrosion, Analytical method, External pressure, Perturbation method

Sun-ting YAN, Ping TANG, Zhang-wei LING, Yong-gui CHEN. An analytical investigation of the collapse of asymmetrically corroded pipes under external pressure[J]. Journal of Zhejiang University Science A, 2022, 23(5): 358-374.

@article{title="An analytical investigation of the collapse of asymmetrically corroded pipes under external pressure",
author="Sun-ting YAN, Ping TANG, Zhang-wei LING, Yong-gui CHEN",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T An analytical investigation of the collapse of asymmetrically corroded pipes under external pressure
%A Sun-ting YAN
%A Ping TANG
%A Zhang-wei LING
%A Yong-gui CHEN
%J Journal of Zhejiang University SCIENCE A
%V 23
%N 5
%P 358-374
%@ 1673-565X
%D 2022
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A2100487

T1 - An analytical investigation of the collapse of asymmetrically corroded pipes under external pressure
A1 - Sun-ting YAN
A1 - Ping TANG
A1 - Zhang-wei LING
A1 - Yong-gui CHEN
J0 - Journal of Zhejiang University Science A
VL - 23
IS - 5
SP - 358
EP - 374
%@ 1673-565X
Y1 - 2022
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A2100487

This paper presents an analytical investigation of elastic collapse of asymmetrically corroded rings under external pressure when both internal corrosion and external corrosion exist. Governing equations are derived for membrane inextensible and membrane extensible cases; a full continuity condition is rigorously derived by the Euler-Bernoulli beam assumption. Comparison with finite element analysis (FEA) shows good agreement for load-displacement curves but membrane extensibility should be included to accurately predict the initial deformation phase, although the discrepancy for both the inextensible and extensible models vanishes for larger deformation phases. By the perturbation technique, the initial load-displacement slope is calculated, and extensive parametric analysis shows complicated dependency of this slope on the misalignment parameter and the angular extent of corrosion. We also present an infallible semi-analytical perturbation solution for both homogeneous and inhomogeneous cases by the Lyapunov arbitrary small-parameter method and show that the resulting power series always converges; then a mathematical argument of analyticity has been presented to illustrate that the so-called homotopy analysis method in the literature converges when the convergence controlling parameter is lying in (-2, 0). This paper serves to enhance the understanding of asymmetrically corroded rings and it is mainly relevant to offshore engineering.


结论:1.理论计算结果和有限元计算结果基本一致;2.不对称参数对变形有较大影响;3.基于欧拉-伯努利假设的连续性条件较为复杂,但是简化连续性条件是可行的;4.薄膜拉伸性严重影响初始变形;5.半解析方法总是收敛的,同时同伦分析法中收敛控制参数应该在(?2, 0)取值。


Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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