Limit Analysis of Defect-Free Pipe Elbow Under Internal Pressure With Mean Yield Criterion  

作　　者：ZHANG Shun-hu GAO Cai-ru ZHAO De-wen WANG Guo-dong 

机构地区：[1]State Key Laboratory of Rolling and Automation,Northeastern University

出　　处：《Journal of Iron and Steel Research International》2013年第4期11-15,共5页

基　　金：Sponsored by National Natural Science Foundation of China(51074052,50734002)

摘　　要：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 mand 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=1is 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.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 mand 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=1is 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.

关 键 词：limit analysis pipe elbow internal pressure strain hardening exponent MY criterion 

分 类 号：TB302[一般工业技术—材料科学与工程]