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.
In the framework of fmite 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 de- rived, 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 dif- ferential 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 ten- sion and compression.