圆板中摩尔-库仑准则的内力屈服条件

对具有拉压强度差效应材料构成的轴对称弯曲圆板在弹塑性阶段应力分布的研究,导出了塑性极限状态下圆板中塑性应力分量间的关系式。以不同受力状态下圆板单元体进入塑性极限状态时的内力分析为基础,建立了圆板在摩尔库仑准则基础上用弯矩表示的内力屈服条件。该内力屈服条件是一条闭合的外凸曲线,符合内力分量的对称性,在材料拉压强度相同时蜕化为屈雷斯卡内力屈服条件。所得内力屈服条件可以用于由拉压强度不同材料构成的圆板和环板的塑性极限分析。

Generalized yield condition of bended circular plate respect to Mohr-Coulomb criterion

By analyzing stress in the elastic-plastic stage of axisymmetric bent circular plates with different tensile and compressive strengths, the relationships of the stress components are derived.On the basis of the Mohr-Coulomb yield criterion,an internal force yield condition expressed by the bent moment is deduced by analyses of the internal forces of plate unit in differing forced states.The internal force yield condition is a close and convex curve and can correspond to the symmetry of internal force.The internal force yield condition can be applied in the plastic limit analysis of circular and annular plates formed by materials with varying tensile and compression strengths.