基于塑性极限分析上限定理的基本原理,结合传统的边坡稳定性计算方法,提出了边坡稳定性分析的横向条分计算模型。根据相关联流动法则和变形协调条件,通过外力功率与塑性变形区内部能量耗损率相等的条件,建立了虚功率方程,利用强度折减得到了边坡稳定性计算表达式。以某一工程为实例,进行了稳定性分析计算,并与不平衡推力法以及极限分析竖向条分方法的计算结果进行了比较,计算结果说明了所提方法的正确性和有效性。
Based on fundamental principle of the upper bound theorem for plastiity limit analysis,through combining with the traditional method to calculate slope stability,the model for slope stability analysis by horizontal slice technique is proposed.According to the associated flow rule,deformational compatibility condition and the demand that the rate of work done by external loads is equal to the rate of the energy dissipation in plastic deformation region,the author deduced the virtual work-rate equation and obtained calculating expression of slope stability by strength reduction.As a case study,the author used the new method to analyze the stability of a slope.Compared with the computing results from imbalance thrust force method and limit analysis of vertical slice technique,the results from presented method are more accuracy and efficient.