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Abstract: 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.

外压下非对称腐蚀管道的垮塌理论研究

[1]ASME (American Society of Mechanical Engineers), 2010. Rules for Construction of Pressure Vessels. Boiler and Pressure Vessel Code Section VIII Division 2., ASME.

[2]ChenYF, DongSH, ZangZP, et al., 2021a. Buckling analysis of subsea pipeline with idealized corrosion defects using homotopy analysis method. Ocean Engineering, 234:108865.

[3]ChenYF, DongSH, ZangZP, et al., 2021b. Collapse failure and capacity of subsea pipelines with complex corrosion defects. Engineering Failure Analysis, 123:105266.

[4]FattMSH, 1999. Elastic-plastic collapse of non-uniform cylindrical shells subjected to uniform external pressure. Thin-Walled Structures, 35(2):117-137.

[5]FraldiM, GuarracinoF, 2011. An improved formulation for the assessment of the capacity load of circular rings and cylindrical shells under external pressure. Part 1. Analytical derivation. Thin-Walled Structures, 49(9):‍1054-1061.

[6]FraldiM, GuarracinoF, 2013. Towards an accurate assessment of UOE pipes under external pressure: effects of geometric imperfection and material inhomogeneity. Thin-Walled Structures, 63:147-162.

[7]GongSF, ZhouLB, WangXP, et al., 2020. On the influence of interacting dual defects on the collapse pressure of pipes under external pressure. Thin-Walled Structures, 157:107140.

[8]GongSF, ZhouLB, WangXP, et al., 2021. On the collapse of thick-walled pipes with corrosion defects under external pressure. Marine Structures, 76:102925.

[9]KyriakidesS, CoronaE, 2007. Mechanics of Offshore Pipelines. Volume I: Buckling and Collapse. Elsevier, Amsterdam, the Netherlands.

[10]LiaoSJ, 2009. Notes on the homotopy analysis method: some definitions and theorems. Communications in Nonlinear Science and Numerical Simulation, 14(4):983-997.

[11]LiaoSJ, 2012. Homotopy Analysis Method in Nonlinear Differential Equations. Higher Education Press, Beijing, China, p.153-165.

[12]NettoTA, 2009. On the effect of narrow and long corrosion defects on the collapse pressure of pipelines. Applied Ocean Research, 31(2):75-81.

[13]NettoTA, FerrazUS, BottoA, 2007. On the effect of corrosion defects on the collapse pressure of pipelines. International Journal of Solids and Structures, 44(22-23):7597-7614.

[14]ShenXL, YanST, WangF, et al., 2016. On collapse failure analysis of subsea corroded sandwich pipelines under external pressure. OCEANS MTS/IEEE Monterey, p.1-8.

[15]TeixeiraAP, PalenciaOG, SoaresCG, 2019. Reliability analysis of pipelines with local corrosion defects under external pressure. Journal of Offshore Mechanics and Arctic Engineering, 141(5):051601.

[16]TimoshenkoSP, GereJM, 1961. Theory of Elastic Stability. McGrawHill-Kogakusha Ltd., Tokyo, Japan, p.109-152.

[17]WuH, ZhaoHS, LiX, et al., 2021. A semi-analytical approach to elastic–plastic buckling analysis of pipes with asymmetric local wall thinning. Thin-Walled Structures, 162:107615.

[18]XueJ, FattMSH, 2002. Buckling of a non-uniform, long cylindrical shell subjected to external hydrostatic pressure. Engineering Structures, 24(8):1027-1034.

[19]XueJH, 2008. Asymptotic analysis for buckling of undersea corroded pipelines. Journal of Pressure Vessel Technology, 130(2):021705.

[20]YanST, ShenXL, JinZJ, 2015. On instability failure of corroded rings under external hydrostatic pressure. Engineering Failure Analysis, 55:39-54.

[21]YanST, ShenXL, JinZJ, et al., 2016. On elastic-plastic collapse of subsea pipelines under external hydrostatic pressure and denting force. Applied Ocean Research, 58:305-321.

[22]YanST, ShenXL, ChenZF, et al., 2017. On buckling of non-uniform shallow arch under a central concentrated load. International Journal of Mechanical Sciences, 133:330-343.

[23]YanST, ShenXL, ChenZF, et al., 2018a. Collapse behavior of non-uniform shallow arch under a concentrated load for fixed and pinned boundary conditions. International Journal of Mechanical Sciences, 137:46-67.

[24]YanST, ShenXL, JinZJ, 2018b. Instability of imperfect non-uniform shallow arch under uniform radial pressure for pinned and fixed boundary conditions. Thin-Walled Structures, 132:217-236.

[25]YanST, ShenXL, ChenZF, et al., 2018c. Symmetric snap-through and equal potential energy load of non-uniform shallow arch under a concentrated load considering imperfection effect. International Journal of Mechanical Sciences, 146-147:152-179.

[26]YeH, YanST, JinZJ, 2016. Collapse of corroded pipelines under combined tension and external pressure. PLoS One, 11(4):e0154314.

[27]YuJX, WangHK, FanZY, et al., 2017. Computation of plastic collapse capacity of 2D ring with random pitting corrosion defect. Thin-Walled Structures, 119:727-736.