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薄壁管道爆破压力的强度差异效应与强度准则影响
引用本文:金乘武,王立忠,张永强.薄壁管道爆破压力的强度差异效应与强度准则影响[J].应用数学和力学,2012,33(11):1266-1274.
作者姓名:金乘武  王立忠  张永强
作者单位:浙江大学 工程力学系, 杭州 310027;
基金项目:国家自然科学基金资助项目,浙江省自然科学基金资助项目
摘    要:在有限变形理论的框架内,基于统一强度准则对在内压作用下的薄壁管道的塑性失效进行了分析.考虑强度差异效应和强度准则对爆破压力的影响,得到了两端封闭薄壁长圆管道的爆破压力的解析解.此外,在统一强度准则的基础上,在内压作用下的两端开口薄壁长圆管道的爆破压力解析解也被导出.经过讨论,发现对于受内压的两端封闭管道,不同的强度准则和强度拉压异性对其爆破压力的影响是显著的,而对于受内压的两端开口管道,其爆破压力则不受强度准则的具体形式和强度差异的影响.

关 键 词:爆破压力    统一强度准则    薄壁管道    有限应变
收稿时间:2011-11-30

Strength Differential Effect and Influence of Strength Criterion on Burst Pressure of Thin-Walled Pipelines
JIN Cheng-wu , WANG Li-zhong , ZHANG Yong-qiang.Strength Differential Effect and Influence of Strength Criterion on Burst Pressure of Thin-Walled Pipelines[J].Applied Mathematics and Mechanics,2012,33(11):1266-1274.
Authors:JIN Cheng-wu  WANG Li-zhong  ZHANG Yong-qiang
Institution:1Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, P.R.China;2College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, P.R.China
Abstract:In the framework of finite deformation theory, the plastic collapse analysis of thin-walled pipes subjected to internal pressure was conducted on the basis of the unified strength criterion (USC). An analytical solution of burst pressure for pipes with capped ends was derived, which included the strength differential effect and took into account the influence of strength criterion on the burst pressure. In addition, a USC-based analytical solution of burst pressure for end-opened pipes under internal pressure was deduced. Through discussion, it is found that for the end-capped pipes the influence of different yield criteria and the strength differential effect on the burst pressure are significant, while for the end-opened pipes the burst pressure is independent of the specific form of strength criterion and strength difference in tension and compression.
Keywords:
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