环形均布荷载作用下简支圆板的塑性极限分析

UNIFIED PLASTIC LIMIT ANALYSES OF CIRCULAR PLATES UNDER UNIFORM ANNULAR LOAD

本文采用双剪统一屈服准则首次对受环形均布荷载作用下的简支圆板进行了塑性极限分析,得出了相应的统一解形式。已有的Tresca准则、Mises准则、双剪应力准则的解答是文中解答的特例或逼近,它可以适用于不同性状的拉压同性材料。用本文的解还可以推出多种荷载作用下简支圆板的塑性极限荷载。

Based on the twin shear unified yield criterion, the plastic limit loads of simply supported circular plate under uniform annular load are given. The other available solutions based on Tresca criterion, Mises criterion and twin shear stress criterion are special cases or approximations of the present result. The present solution is suitable for many materials with same strength in tension and in compression. The plastic limit loads of simply supported circular plates under various loads can be obtained based on the present solution.