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

作　　者：Sun-ting YAN Ping TANG Zhang-wei LING Yong-gui CHEN 

机构地区：[1]Zhejiang Academy of Special Equipment Science,Hangzhou 310020,China

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2022年第5期358-374,共17页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：supported by the Natural Science Foundation of Zhejiang Province(No.LQ21E050001);the Science and Technology Plan Project of Zhejiang Bureau of Quality and Technical Supervision(No.20200307);Eyas Program Incubation Project of Zhejiang Provincial Administration for Market Regulation(No.CY2022221)China。

摘　　要：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.

关 键 词：PIPE CORROSION Analytical method External pressure Perturbation method 

分 类 号：TG172[金属学及工艺—金属表面处理]