用统一强度理论和统一滑移线场理论求解某些塑性平面应变问题

SOLUTIONS OF SOME PLASTIC PLAIN STRAIN PROBLEMS BASED ON UNIFIED STRENGTH THEORY AND UNIFIED SLIP LINE FIELD THEORY

采用俞茂宏统一强度理论和统一滑移线场理论分析了高压厚壁圆筒的极限载荷，得出了统一解形式，常用的Ｔｒｅｓｃａ、Ｍｉｓｅｓ、Ｍｏｈｒ－Ｃｏｕｌｏｍ ｂ 和双剪强度理论解等均为特例，利用此解可以合理地得出不同材料的相应解，它既可以适用于拉压强度相等的材料，也可以适用于拉压强度不相等的材料，并且能充分发挥材料性能，从而减轻结构重量，取得多方面的效益。

A new method to calculate the limit load of thick wall cylinder under high pressure based on Yu′s unified strength theory and unified slip line field theory, and a unified solutions are obtained. solutions based on Tresca, Mises, Mohr Coulomb and twin shear strength theories is special cases of the unified solutions. The corresponding solutions of different materials can be got from it. The unified solution can not only be used to fit the properties of the materials with different tension pressure strength but also the ones with equal tension pressure strength. The result is of much importance in engineering and economy.