中文摘要：

临界滑动面搜索是边坡稳定分析中很重要的内容，针对现有方法的不足，提出了一种新的搜索方法。基于边坡稳定性的整体分析法，建立了确定临界滑面的非线性优化模型。该模型将滑面离散点的纵坐标和安全系数都视为独立变量，目标函数取为安全系数本身，约束条件是平衡方程组和滑面凸性。由于目标函数是线性函数，约束条件至多是二次多项式，非线性程度较低，可采用经典优化算法和常见的非线性优化工具求解，比如Matlab。通过实例分析并与传统的滑面搜索方法进行对比表明，所建议的方法在数值稳定性及收敛性方面均具有优势。

英文摘要：

Searching critical slip surface is very important in slope stability analysis. For the deficiencies of the existing methods, a new search method is put forward. On the basis of global analysis method of slope stability, a nonlinear optimum model for determining critical sliding surface is proposed for calculating safety factor. In this method, both the safety factor and vertical coordinates of discrete points on the slip surface are taken as independent variables, and the safety factor is taken as the objective function. In the model, the equilibrium equations and convexity of the slip surface act as constraint conditions. Because the objective function is linear, and the constraint functions are polynomials of at most quadratic, the model has weaker nonlinearity and so it can be solved easily by those conventional nonlinear optimization tools, such as Matlab. The following two example results show that the proposed method has advantages for numerical stability and convergence.