对称边坡三维临界滑动面的确定

Determination of three-dimensional critical slip surface of a symmetrical slope

文章运用对称边坡三维安全系数显示解,确定三维对称边坡的临界滑动面。假设对称边坡的滑动面是椭球面,改变滑面入口点位置和椭球的中心点位置,应用对称边坡三维安全系数显示解,计算得到对应最小安全系数的滑动面,即为三维临界滑动面。算例表明:初始正应力的假设对最终安全系数的结果影响不大,从而保证该方法的合理性与有效性;当边坡宽高比大于3.0～5.5时,可忽略三维边坡空间效应,将三维边坡简化为二维边坡进行分析。

Based on the explicit solution to the three-dimensional safety factor of a symmetrical slope, the critical slip surface of the three-dimensional symmetrical slope is yielded. Assuming that the shape of the slip surface of the symmetrical slope is ellipsoidal, and by changing the positions of the entry point of sliding surface and the center point of the ellipsoid and applying the explicit solution to the three-dimensional safety factor of the symmetrical slope, the slip surface corresponding minimum safe- ty factor is calculated, which is the three-dimensional critical slip surface. Numerical examples show that the hypothesis of initial normal stress has little effect on the safety factor, which ensures the reasonableness and effectiveness of this method. When the width-height ratio of the slope is more than 3. 0 -- 5.5, the three-dimensional spatial effect can be ignored, thus the three-dimensional slope can be analyzed with two-dimensional method.