关于边坡稳定分析的通用条分法的探讨(理论分析部分)

针对二维和三维边坡，通过对极限平衡分析结果所依赖的各种因素的分析，探讨了确定安全系数的必要和充分条件。建立了针对不同假设条件的安全系数的解析表达式。这些结果可以使得对极限平衡方法结果的上、下限的估计成为可能。

DISCUSSIONS ON THE GENERALIZED SLICING METHOD FOR STABILITY ANALYSIS OF SLOPES

Limit equilibrium slicing methods have been widely used for assessing the stability of natural and man-made slopes. Many methods have been developed so far. They involve various assumptions with respect to the inter-slice forces which lead to different results. In order to get rid of these inconsistencies,attempts is made to incorporate the commonly used slicing methods into a generalized frame work. However,what is the most reasonable result is still unknown. Therefore,a generalized frame work is proposed to find a reasonable bound of solutions of slicing methods for both the two-dimensional and three-dimensional cases. By analyzing the influences of various conditions on the results of stability analysis,the existence and uniqueness of the safety factor are discussed. Analytic formulas of the safety coefficient under different conditions are established. In addition,variation formulas of the safety coefficient are obtained for determining a proper bound of the safety factor.