极限分析理论在岩土工程中的应用综述

稳定性分析是岩土工程中一个很重要的方面,其分析方法有多种。而极限分析理论是一种行之有效的稳定分析方法,它能明确得出垮落载荷无需逐步进行弹塑性分析,其定理包括上限定理和下限定理,准确解位于在上下限之间。文中阐述了极限分析理论的发展和极限分析在隧道、边坡稳定性经典问题中的应用,介绍了极限分析理论常用的计算方法,最后说明了经典极限分析理论存在的主要问题。     

Block Limit Analysis Method for Stability of Slopes During Earthquakes

Based on the limit analysis upper bound method, a new mechanism of soil slope failure has been proposed which was consisted of plastic shear zone and rigid block zone. The different zones interface were regarded as discontinuity lines. Two sliding blocks of the slope were also incorporated horizontal seismic force and vertical gravity force. The velocities and forces were analyzed in two blocks, and the expression of velocity discontinuities was derived according to the principle of incompressibility. The external force done work for the blocks and the internal energy dissipated of the plastic shear zone and the velocity discontinuous were solved. The stability ratios were derived for the height of two-level slope with different rates to involve seismic and no seismic. The present stability ratios were compared to the previous study, which showed the superiority of the mechanism and the rationality of the analysis. The critical height of the slope can provide a theoretical basis for slope support and design.