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| 双均值逼近屈服准则解析含腐蚀缺陷管道爆破压力 |
| Analysis of Burst Pressure for Corroded Pipeline with Double-mean Approximation Yield Criterion |
| 投稿时间：2020-10-15 修订日期：2021-01-07 |
| DOI： |
| 中文关键词: 腐蚀缺陷管道 屈服准则 爆破压力 屈强比 应变硬化指数 |
| 英文关键词:corroded pipeline yield criterion burst pressure yield-to-tensile strength ratio strain hardening exponent |
| 基金项目:国家自然科学基金项目（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项目（202010285032Z） |
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| 中文摘要: |
| 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 平面上是一个等边非等角的十二变形，位于Mises圆内部。利用该准则对受内压作用下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( )、原始管道厚径比( )、抗拉强度 以及缺陷深度( ）的函数。通过对比表明，该解析解所预测爆破压力与已有实验数据吻合较好，最大误差不超过10.11%。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，而随着缺陷深度的增加而减小。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。
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 |
| 英文摘要: |
| 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 the -plane is an equilateral and non-equilateral dodecagon which locates inside the 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( ), the original thickness-to-diameter ratio ( ), the tensile strength as well as defect depth ( ). After comparison, it is found that the predicted burst pressure is closely to the experimental data, and the maximum error is no more than 10.11%. The quantitative analysis shows that the burst pressure increases as the yield-to-tensile strength ratio or the original thickness-to-diameter ratio, while decreases with the defect depth. The present solution of the burst pressure is significant to the material selection, design and evaluation of the pipeline. |
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