一种计及强化效应的梁的塑性极限分析

A Plastic Limit Analysis of Beams in Consideration of Hardening Effect

应用传统的极限分析理论，对可简化为刚塑性的材料本构关系提出了一种改进的“刚性－非线性强化”近似模型。它较现有的几种刚塑性简化模型更符合实际，因而更合理。在梁的极限分析中采用这一新的刚塑性模型，并推导出了极限弯矩公式。文中以矩形截面梁为例，对所得结果与传统公式作了比较，表明后者可视为本文结果的一个特例。本文最后还给出了便于工作应用的简化公式。文中所提出的刚塑性简化模型也可用于刚架、薄板等结构的极限分析。

Advances an improving rigid nonlinearity hardening approximate model of the constitutive relations using the traditional theory of plastic limit analysis. Compared with available rigid plastic simplified models this new one conforms to reality better. And it is more reasonable. In the limit analysis of the beam, the authors got a formula of the limit bending moment by using the new model. The calculation of the rectangular section beam shows that the traditional formula is a special case of the result. Lastly, a simplified formula for convenience in engineering is given. This model also can be used in the limit analysis of the structure such as rigid frame, thin plate, etc.