金属斜板极限载荷的统一解析解

UNIFIED LIMIT SOLUTION FOR OBLIQUE PLATES OF METAL

用统一屈服准则(俞茂宏，1991)对斜板进行塑性极限分析，得到斜板的统一极限载荷解析式。从而得到一系列从单剪屈服准则(特雷斯卡，1864)到三剪屈服准则(米泽斯，1913)再到双剪屈服准则(俞茂宏，1961)的各种斜板的极限载荷，并得到矩形板和菱形板的极限均布载荷p随不同屈服准则的变化曲线，文献中已有的解均为统一解析解的特例。本文得到一系列有规则变化的新的解析解，可以适合于各种拉压强度相同的材料以及从方板、矩形板到不同角度的各种斜形板。它的工程应用可以得到显著的经济效益。

Based on the unified yield criterion (M.H.Yu,1991),the plastic limit analysis for oblique plates and the unified limit loading expression are given,which incl udes a set of solutions from the single-shear yield criterion(Tresca,1864)to th e twin-shear yield criterion (M.H.Yu,1961)The relative curves between q and b are also got for square plates and rhombic plates.The results in the references about the problem are only the especial solutions.By using the unif ied yield criterion,the more proper limit loading for oblique plates about the d ifferent materials can be derived.The prominent economical benefit can be got f rom the engineering application of the solutions