摘要
通过对Tresca和TSS屈服边长和边心距的均值同时进行逼近,建立了一个线性屈服准则,称为双均值逼近屈服准则。该准则在π平面上是一个等边非等角的十二边形,位于Mises圆内部。利用该准则对受内压作用的管道进行塑性极限分析,导出了含腐蚀缺陷管道爆破压力的解析解。该解析解是管材屈强比(σ_(Y)/σ_(T))、原始管道厚径比(t_(0)/D_(0))、抗拉强度σT以及缺陷深度比(d_(0)/t_(0))的函数。对比表明,该解析解所预测爆破压力与已有模拟和实验数据吻合较好。影响参数的定量分析表明,爆破压力随着屈强比或原始管道厚径比的增大而增大,随着缺陷深度比的增加而减小。所建立的爆破压力解析解对于管道的选材、设计以及安全评估具有重要意义。
A linear yield criterion,called the double-mean approximation yield criterion,is established by simultaneously approximating the average values of the yield lengths and the apothems of the Tresca and TSS yield criteria.The yield locus of the proposed yield criterion on theπ-plane is an equilateral and non-equilateral dodecagon which locates inside the von Mises circle.Based on the present yield criterion,the plastic limit analysis of a pipeline with a corrosion defect under inner pressure is analyzed,and an analytical solution of the burst pressure is derived.The analytical solution is a function of the yield-to-tensile strength ratio(σ_(Y)/σ_(T)),the original thickness-to-diameter ratio(t_(0)/D_(0)),the tensile strength as well as defect depth ratio(d_(0)/t_(0)).After comparison,it is found that the predicted burst pressure is close to the simulated and experimental data.The quantitative analysis shows that the burst pressure increases with the yield-to-tensile strength ratio or the original thickness-to-diameter ratio,but decreases with the defect depth ratio.The present solution of the burst pressure is significant in the material selection,design and evaluation of the pipeline.
作者
邓磊
章顺虎
覃诗卉
刘欣滢
DENG Lei;ZHANG Shun-hu;QIN Shi-hui;LIU Xin-yin(Shagang School of Iron and Steel,Soochow University,Suzhou 215021,China)
出处
《计算力学学报》
CAS
CSCD
北大核心
2021年第6期763-769,共7页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金(U1960105,52074187)
江苏省优秀青年基金(BK20180095)
2020年大学生创新创业训练计划(202010285032Z)资助项目.
关键词
腐蚀缺陷管道
屈服准则
爆破压力
屈强比
应变硬化指数
corroded pipeline
yield criterion
burst pressure
yield-to-tensile strength ratio
strain hardening exponent
作者简介
章顺虎(1986-),男,博士,副教授(E-mail:shzhang@suda.edu.cn).
