边坡稳定分析的三维Spencer法  

THREE-DIMENSIONAL SPENCER METHOD FOR SLOPE STABILITY ANALYSIS

作　　者：张均锋[1] 王思莹[2] 祈涛[1] 

机构地区：[1]中国科学院力学研究所,北京100080 [2]中国科学技术大学力学和机械工程系,安徽合肥230026

出　　处：《岩石力学与工程学报》2005年第19期3434-3439,共6页Chinese Journal of Rock Mechanics and Engineering

基　　金：国家自然科学基金资助项目(10372104);国家重点基础研究发展规划(973)项目(2002CB412706)

摘　　要：将边坡稳定分析中的二维Spencer法拓展到了三维。该方法对所有条块满足力的平衡以及整体力矩平衡,克服了其他方法中只适用对称问题的缺点,不需已知滑动方向,还可根据滑面的几何特征,进一步得到各条块局部的稳定性系数及其潜在的滑动方向。此外,给出了该方法的实现步骤,其算法的收敛性也较好。最后以不对称问题为算例,并与其他文献中的结果进行比较,验证了该方法的可行性和有效性。The two-dimensional Spencer method is extended to three-dimensional slope stability analysis, in which all forces acting on the discretized blocks are taken into account. The static force equilibrium in all three directions is satisfied; and the total moment equilibrium is also satisfied. In this method, the potential sliding mass is divided into rigid blocks. The inter-block forces and their direction are involved in the computing process. It does not need previously known main sliding direction of the slope. Hence, the number of assumptions being introduced is less than that in other three-dimensional analysis methods. This method can be applied to various types of potential sliding surfaces, complicated geological boundaries and stratifications, water pressure, and earthquake loading, especially for the slope with asymmetrical profile. This proposed method holds the advantages of the 2D Spencer method. The convergence of the iterative calculating process in this method is better than that of other methods. In addition, this method not only gives one value of the safety factors for an integrated slope, but also analyzes the safety factor and its sliding direction for each block according to the characteristics of its sliding surface. The numerical approaches and steps are provided to achieve the program of the proposed method for 3D slope stability analysis. Some programming techniques are also proposed to ensure the practicability and validity of the method. Moreover, an asymmetrical example is employed to show how this method works. The results calculated by this 3D method are given in detail such as the factors of safety and sliding directions of blocks. The results obtained by 3D Janbu method are also presented for comparison. By comparing this 3D Spencer method with other 3D analysis methods, it is shown that the proposed method can provide more parameters and information useful for a landslide control and treatment.

关 键 词：边坡工程 三维边坡分析 稳定性分析 极限平衡 

分 类 号：P642.2[天文地球—工程地质学]