As a slope may have numerous potential slip surfaces, its failure probability as a system is usually different from that of a single slip surface. Nevertheless, the system failure probability of a slope is often governed by several representative slip surfaces. How to identify the representative slip surfaces is important for system reliability analysis of soil slopes. Previous studies on representative slip surface identification mainly focus on circular slip surfaces within the framework of limit equilibrium methods; there are also relevant researches, albeit limited, within the framework of finite element/finite difference analyses based on the shear strength reduction method. By viewing the task of representative slip surface identification as a multidesign point identification problem, a barrier-based optimization method is suggested in this paper to identify representative slip surfaces of arbitrary shape based on the shear strength reduction method. A multiple starting point strategy is suggested to enhance its efficiency. For the three slopes examined in this paper, the method suggested is capable of identifying representative slip surfaces efficiently without prior assumption on their shapes.

中文翻译：

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基于约束优化的土坡系统可靠性分析

由于斜坡可能有许多潜在的滑动面，其作为一个系统的失效概率通常不同于单个滑动面的失效概率。然而，斜坡的系统失效概率通常由几个有代表性的滑移面控制。如何识别具有代表性的滑移面对于土坡系统可靠性分析具有重要意义。以往对代表性滑移面识别的研究主要集中在极限平衡法框架内的圆形滑移面；在基于抗剪强度折减法的有限元/有限差分分析框架内，也有相关研究，尽管有限。通过将代表性滑动面识别任务视为多设计点识别问题，本文提出了一种基于障碍的优化方法，以基于剪切强度降低方法识别任意形状的代表性滑移面。建议采用多起点策略以提高其效率。对于本文中研究的三个斜坡，建议的方法能够有效地识别具有代表性的滑动面，而无需事先对其形状进行假设。