以极限分析上限定理为基础,根据滑移线场的理论和斜分条法,提出了土质边坡极限分析径向条分法破坏机制,并建立了径向条分法计算模型。按照外荷载所做的外功率与速度间断面上产生的内能耗损相等的原理——虚功率原理,建立了计算土质边坡稳定系数的极限分析虚功率方程。采用材料储备强度的定义,根据极限方程,可以推导出土质边坡径向条分法稳定系数计算公式。通过一个典型土质边坡剖面,采用本文的方法进行了计算,并与瑞典圆弧法计算结果做了比较,验证了本文方法的正确性。
Based on limit analysis upper bound theorem, a new method named as radial slice method is put forward by means of characteristic theory and inclined slice method. According to virtual work-rate theory which can be described that the rate of work done by external loads is equal to the rate of energy dissipation in the velocity discontinuity, the work-rate equation used to compute safety factor of soil slope can be obtained. Making use of the work-rate equation and the concept of material strength reserve, the safety factor formula of radial slice method can be deduced. At the end of the paper, a typical geological profile's stability was calculated by the new method. In comparison to the calculation result of the Sweden slip circular method, the correctness of the new method can be proved.