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| MY准则解析受内压薄圆环极限压力 |
| Analysis of Limit Pressure for Thin Ring Subjected to Internal Pressure with MY Criterion |
| Received:November 15, 2017 Revised:January 10, 2018 |
| DOI：10.3969/j.issn.1674-6457.2018.01.015 |
| 中文关键词: MY准则 薄圆环 应力场 极限压力 解析解 |
| 英文关键词: MY criterion thin ring stress field limit pressure analytical solution |
| 基金项目:国家自然科学基金（51504156）；江苏省基础研究计划（自然科学基金）（BK20140334）；江苏省高校自然科学研究（14KJB460024）；中国博士后科学基金（2014M561707） |
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| 中文摘要: |
| 目的 探明受内压薄圆环极限承压能力。方法 首次以MY（平均屈服）准则对受内压薄圆环进行弹塑性分析，克服Mises准则数学求解的困难性，导出塑性区内的应力场，并获得塑性极限压力的解析解。此外，还给出了弹塑性临界半径与内压之间的依赖关系，并分析了二者间的变化规律。结果 塑性极限压力的解析解表明，塑性极限压力是材料屈服强度、半径比值的函数；与已有的Tresca、TSS准则获得的结果比较表明，Tresca准则给出极限压力下限，TSS屈服准则给出极限压力上限，MY准则给出极限压力居于两者之间，可作为Mises解的替代。结论 文中结果对于充分发挥材料性能，进而对薄圆环的设计、选材以及安全评估具有实际工程意义。 |
| 英文摘要: |
| To clarify the ultimate loading capacity of thin ring subjected to internal pressure, the elastic-plastic analysis of thin ring under internal pressure was first carried out with MY criterion to overcome the difficulty of mathematical solving of Mises criterion. The stress field in the plastic zone was derived, and an analytical solution of plastic limit load was then deduced. The dependency relationship between elastic-plastic critical radius and internal pressure was given. And the change rules of them were analyzed. It was shown in the solution that the plastic limit pressure was a function of yield stress and radius ratio. By comparing the plastic limit pressure with those obtained based on Tresca and TSS, Tresca criterion provided a lower bound, TSS provided an upper bound, while the solution of the MY criterion lay between them, and could be taken as the approximation of Mises solution. The present result has realistic engineering significance in full using of material properties, and further in guiding of the design, material selecting, and safety assessment of thin ring. |
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