中文摘要：

基于滑面正应力修正模式，推导出旋转非对称边坡三维极限平衡安全系数显式解答。首先假设三维滑面正应力的初始分布，然后乘以含2个待定参数的修正函数；根据滑体竖直方向力平衡、垂直滑动方向水平力平衡及对旋转轴力矩平衡的条件，导出关于安全系数的2次代数方程；得到三维安全系数的显式解。本方法不需考虑条柱间具体作用力，满足主要平衡条件，计算过程简单，可应用于实际边坡工程。

英文摘要：

Based upon modification of the normal stresses over the slip surface, the explicit limit equilibrium solution was derived for the 3D safety factor of asymmetric and rotational slopes. The normal stresses over the 3D failure surface were initially assumed and then multiplied by a modification function involving two factors to be determined. According to equilibrium conditions of vertical force, horizontal force perpendicular to the sliding direction and moment about rotational axis a quadratic equation in terms of the safety factor and then the explicit solution for the 3D safety factor of asymmetric slopes were obtained. In the present method the interaction between the columns was neglected, while the main equilibrium conditions were satisfied, and the computation process of this method was straightforward. This method could be applied for the stability evaluation in practical slope engineering.