土体稳定分析极限平衡法改进及其应用

Improved Limit Equilibrium Method and Its Applications to Stability Analysis of Soil Masses

本文以变分法为基础,并与极限分析上限定理相结合,将传统的极限平衡法加以改进,对非均质土工建筑物(如土坡、挡土墙)的稳定性及地基承载力等问题建立了理论上严谨、应用性广泛的统一分析方法。进而比较严密地论证了方法的物理本质与解答的性质。最后,根据数值计算结果,具体阐述了这种改进方法在地基承载力、挡土墙土压力与土坡稳定性等方面的实际应用中所得到的主要结论。

An unified approach to stability analysis of soils is developed, in which the conventional limit equilibrium method is combined with the upper-bound theorem of limit analysis by variational technique and Lagrange's multipliers procedure. This method is characterized by its flexibility of application to solve various stability problem in soil mechanics. Physical nature of this method and solution characteristics are examined. Finally, this procedure is applied successfully to assess the bearing-capacity of layered foundation, lateral earth pressure of cohesive backfills on retaining wall, and earthquake-resistant capacity of soil slopes. Some numerical results are given and meaningful conclusions are drawn.