Abstract
With mean yield (MY) criterion, an analytical solution of the collapse load for a defect-free pipe elbow under internal pressure is first obtained. It is a function of ratio of thickness to radius t0/r0, strain hardening exponent n, curvature influence factor m and ultimate tensile strength. The collapse load increases with the increase of m, and it is the same as the burst pressure of straight pipe if m = 1 is assumed. The MY-based solution is compared with those based on Tresca, Mises and twin shear stress (TSS) yield criteria, and the comparison indicates that Tresca and twin shear stress yield criteria predict a lower bound and an upper bound to the collapse load respectively. However, the MY-based solution lies just between the TSS and Tresca solutions, and almost has the same precision with the Mises solution.
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References
Yu M N, He L N. A New Model and Theory on Yield and Failure of Materials Under Complex Stress Problems [J]. Mechanical Behavior of Materials, 1991, 3: 841.
Calladine C R. Limit Analysis of Curved Tubes [J]. J of Mec Eng Sci, 1974, 16: 85.
Charropadhyay J. Limit Load Analysis and Safety Assessment of an Elbow With Circumferential Crack Under a Bending Moment [J]. Int J Ves Piping, 1995, 62: 109.
Save M A. Plastic Analysis and Design of Plates, Shells and Disks [M]. Netherlond: Centre Belgo Luxemboutgeois Press, 1972.
GUO Cha-xiu, WANG Xue-sheng, WANG Ding-biao, et al. Plastic Collapse Load Analysis of Undefected Pipe Elbows Under the Complex Loads [J]. Pressure Vessel Technology, 2002, 24: 391 (in Chinese).
Mailer A G. Review of Limit Loads of Structures Containing Defects [J]. Int J Pres Ves Piping, 1988, 32: 197.
Zhao D W, Xie Y J, Wang X W, et al. Derivation of Plastic Work Rate per Unit Volume for Mean Yield Criterion and Its Application [J]. J Mater Sci Technol, 2005, 21: 433.
Deng W, Zhao D W, Qin X M, et al. Plastic Zone Equation Based on Mean Yield Criterion [J]. Adv Mater Res, 2010, 97–101: 534.
Yu M H. Twin Shear Stress Yield Criterion [J]. Int J Mech Sci, 1983, 25: 71.
Lei L M. Principle of Mechanical Metallurgy [M]. New York: The Gresham Press, 1981.
Harold L G. Metal Forming-Fundamentals and Applications [M]. Ohio: American Society for Metals, 1983.
Hosford F Willianm. Metal Forming-Mechanics and Metallurgy [M]. Cambridge: Cambridge University Press, 2007.
Hill R. The Mathematical Theory of Plasticity [M]. London: Oxford University Press, Ely House, 1950.
LI Can-ming, ZHAO De-wen, ZHANG Shun-hu, et al. Analysis of Burst Pressure for X80 Steel Pipeline With MY Criterion [J]. Journal of Northeastern University, 2011, 32(7): 964 (in Chinese).
ZHU Xian-kui, Leis Brian N. Influence of Yield-to-Tensile Strength Ratio on Failure Assessment of Corroded Pipelines [J]. J Pres Ves Technol, 2005, 127(4): 436.
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Foundation Item:Item Sponsored by National Natural Science Foundation of China (51074052, 50734002)
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Zhang, Sh., Gao, Cr., Zhao, Dw. et al. Limit Analysis of Defect-Free Pipe Elbow Under Internal Pressure With Mean Yield Criterion. J. Iron Steel Res. Int. 20, 11–15 (2013). https://doi.org/10.1016/S1006-706X(13)60075-8
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DOI: https://doi.org/10.1016/S1006-706X(13)60075-8