Abstract A new three-dimensional slope stability analysis method based on stress calculation by the finite element method is proposed. This method conforms to the uniform assumption of the sliding direction of the rigid limit equilibrium method and can easily be used calculate the three-dimensional sliding direction. By using this method, both the local and global safety factors of the slip surface can be calculated according to the integral mean value theorem. Additionally, an improved ellipsoidal slip surface construction method is proposed for roughly searching for the minimum safety factor and the critical slip surface. A two-stage particle swarm optimization is used to search for the critical slip surface more accurately. Two numerical examples of fixed slip surfaces are provided to confirm the effectiveness of the proposed method and its applicability to nonspherical slip surfaces. The influence of the slip surface mesh grid size, boundary conditions, Poisson's ratio, and dilatancy angle on the calculation results is revealed. Another two numerical examples of searching for the critical slip surface are then provided, and the results of the proposed method are compared with the results of the strength reduction method to confirm the validity of the proposed method.

中文翻译：

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基于有限元法应力分析的三维边坡稳定性分析方法

摘要 提出了一种基于有限元应力计算的边坡三维稳定性分析新方法。该方法符合刚性极限平衡法对滑动方向的统一假设，可以方便地计算三维滑动方向。利用该方法，可以根据积分均值定理计算滑面的局部和全局安全系数。此外，提出了一种改进的椭球滑动面构造方法，用于粗略搜索最小安全系数和临界滑动面。两阶段粒子群优化用于更准确地搜索临界滑动面。提供了两个固定滑面的数值例子，以证实所提出的方法的有效性及其对非球形滑面的适用性。揭示了滑面网格尺寸、边界条件、泊松比和剪胀角对计算结果的影响。然后提供另外两个寻找临界滑移面的数值例子，并将所提方法的结果与强度折减法的结果进行比较，以证实所提方法的有效性。