具有圆孔的大薄板材料的统一极限解

UNIFIED ULTIMATE SOLUTION OF A LARGE THIN PLANE WITH A HOLE

采用俞茂宏统一强度理论对具有圆孔的大薄板材料进行了极限分析，得到了统一解形式。以往基于Ｔｒｅｓｃａ、Ｍｉｓｅｓ、双剪屈服准则以及Ｍｏｈｒ－Ｃｏｕｌｏｍｂ强度理论的极限解均为本文统一解的特例。此解可适应于不同性质的各类材料，合理地得出不同材料的相应解。

In this paper, Yu Maohong's Unified Strength Theory is used to analyze the ultimate load of a thin plane with a hole and a unified solution is obtained. The solutions based on Tresca、Mises、Twin Shear criterion and Mohr Coulomb strength theory are special cases of the unified solution. The result can be used to fit the properties of different kinds of materials and is of importance in engineering and economy.