Abstract To investigate rock slope stability, a nonlinear strength-reduction numerical manifold method (NSRNMM) using a generalized Hoek-Brown (GHB) criterion is proposed. As it is difficult to implement the nonlinear strength reduction method (NSRM) with the use of the GHB criterion by directly reducing the GHB parameters, two equivalent Mohr-Coulomb (MC) criteria, namely, the instantaneous and average equivalent MC criteria that are derived from the GHB criterion, are adopted in the NSRNMM. The implementation details of the NSRNMM are discussed. The stability of two rock slopes, namely, a rock slope with a GHB material and a rock slope with a GHB material and two MC materials, is investigated using the NSRNMM. The numerical results indicate that 1) the proposed NSRNMM using the instantaneous equivalent MC criterion can accurately calculate the safety factor (Fs) of rock slopes and that 2) the Fs predicted with the NSRNMM using the average equivalent MC criterion is more conservative than that using the instantaneous equivalent MC criterion.

中文翻译：

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基于非线性强度折减数值流形法的岩质边坡稳定性分析

摘要 为了研究岩质边坡稳定性，提出了一种使用广义Hoek-Brown (GHB) 准则的非线性强度折减数值流形法(NSRNMM)。由于使用GHB准则很难通过直接减少GHB参数来实现非线性强度折减法（NSRM），因此推导出两个等效Mohr-Coulomb（MC）准则，即瞬时等效MC准则和平均等效MC准则来自 GHB 标准，在 NSRNMM 中被采用。讨论了 NSRNMM 的实现细节。使用 NSRNMM 研究了两种岩石边坡的稳定性，即使用 GHB 材料的岩石边坡和使用 GHB 材料和两种 MC 材料的岩石边坡的稳定性。