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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 the limit analysis upper bound theorem, according to the theory of slip-line field and oblique striping method, the failure mechanism of radial slice method for limit analysis of soil slope is put forward and the calculation model of radial slice method is established. According to the principle of virtual power, which is produced by the external load and the internal energy loss produced by the external load, the virtual power equation for ultimate analysis of soil slope stability coefficient is established. Based on the definition of material reserve strength, according to the limit equation, the formula for calculating the stability coefficient of soil slope can be deduced. Through a typical soil slope profile, the method of this article is used to calculate and compared with the Swedish arc method to verify the correctness of the method.