Abstract In this study, a stability analysis approach for fractured rock mass slopes is proposed by combining the strength reduction method (SRM) with the undirected graph theory (UGT). First, the original shear strength parameters of all the fractures are divided by the same reduction coefficient to generate new shear strength parameters, which are used for numerical simulations of the fractured rock mass slope. Second, the connectivity of the failure fractures is analyzed with a self-developed code, which is developed based on UGT. If no fracture clusters are fully connected from the top of the slope to the toe or free face of the slope, the slope is considered to be stable, and the reduction coefficient is incremented. The above calculation procedures are repeated until there is exactly right a fracture cluster is fully connected (i.e. slope is leaded to critical state). The reduction coefficient that coincides with the critical state is considered as the safety factor of the slope, and the fractured rock mass encompassed by the connected failure fractures is regarded as the unstable part of the slope. Finally, the proposed method is applied to analyze the stability and the potential failure range of a steep slope to verify its validity.

中文翻译：

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基于强度折减法的裂隙岩体边坡破坏新判据

摘要 本研究将强度折减法（SRM）与无向图论（UGT）相结合，提出了裂隙岩体边坡稳定性分析方法。首先，将所有裂缝的原始抗剪强度参数除以相同的折减系数，生成新的抗剪强度参数，用于裂隙岩体边坡的数值模拟。其次，利用基于UGT开发的自主开发代码分析破坏断口的连通性。如果从坡顶到坡脚或自由面没有裂缝簇完全连接，则认为坡是稳定的，并增加折减系数。重复上述计算过程，直到恰好有一个裂缝簇是全连通的（即 斜率导致临界状态）。与临界状态重合的折减系数被认为是边坡的安全系数，被连接的破坏裂缝所包围的裂隙岩体被认为是边坡的不稳定部分。最后，将所提出的方法用于分析陡坡的稳定性和潜在破坏范围，以验证其有效性。