锚杆(索)加固边坡的最小势能稳定分析方法研究

最小势能边坡稳定性分析方法是一种正处于发展完善中的新型边坡稳定分析方法。建立了采用锚杆(索)加固边坡后的最小势能稳定分析新方法，并进一步提出了一个考虑滑床剪切势能影响的近似计算模型，算例表明：（1）最小势能边坡稳定分析方法的结果，不论有无锚固均与现在工程常用的极限平衡方法的结果较为一致，表明了这一新方法的适用性；（2）滑床剪切势能计算模型引进与否对单一地层边坡的安全系数影响微小，可忽略不计，而对多地层边坡有较明显影响。总之，最小势能方法求取安全系数的过程简洁、概念明确合理、结果可显式表示，与极限平衡方法或有限元方法等方法相比，更具有实用价值。

Research on stability analysis method for slope with anchors or prestressed-cables based on minimum potential energy principle

Stability analysis method of slope based on minimum potential energy principle is a new kind of method in developing. A new stability analysis method of slope, which concerns reinforcement of slope with anchor bolt or prestressed cable and based on minimum potential energy principle, is established. Furthermore, an approximate model on shear potential energy in the district beneath slipping surface is presented too. Case studies show: (1) No matter that slope has been reinforced with anchor bolt or prestressed cables or not, results from minimum potential energy method have a good coincidence with that from limit equilibrium method, so as to show the new method is applicable. (2) Shear potential energy from the approximate model is considered whether or not, it is nearly no influence on safety factor of slope with just single stratum; but it has clear influence on that of slope with more than one stratum. In general, the concept of minimum potential energy method of slope stability is clear and reasonable; solving process for safety factor is concise; and the expression of safety factor can be expressed as explicit function. Compared with limit equilibrium method and finite element method, and so on, it has clear value for engineering application.