In this study, to support slope stability estimating engineering, the stability of a slope with cracks lying on two-layered slopes was investigated by a self-developed adaptive element limit analysis (AFELA) code. Upper bound (UB) and lower bound (LB) results of soil additional gravity factor SF within 4% relative error were obtained to quantify the effects of several factors, including the Moore‒Cullen strength ratio, angle of the slope, thickness of the top layer, length of the crack, angle of the crack, and crack’s distance from the edge. Typical failure patterns were also discussed for deeper insight into the two-layered slope stability with cracks. In addition, the results of the AFELA code were compared with the actual situation of the slope and existing commercial calculation software to verify the reliability of this investigation.

中文翻译：

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含裂纹的两层边坡稳定性的有限元极限分析

在这项研究中，为支持边坡稳定性估算工程，使用自行开发的自适应元素极限分析（AFELA）代码研究了位于两层边坡上的裂缝的边坡稳定性。获得了土壤附加重力因子SF相对误差在4％以内的上界（UB）和下界（LB）的结果，以量化多个因素的影响，其中包括摩尔摩尔·卡伦强度比，坡度角，顶部厚度层，裂纹的长度，裂纹的角度以及裂纹与边缘的距离。还讨论了典型的破坏模式，以更深入地了解带有裂缝的两层边坡稳定性。此外，将AFELA代码的结果与边坡的实际情况以及现有的商业计算软件进行了比较，以验证该调查的可靠性。