Due to rock masses' nonlinear failure property, it is inappropriate to investigate the stability of rock slopes using the traditional SRM (strength reduction method) which is based on the linear MC (Mohr-Coulomb) failure criterion. To conduct 3D analysis (three dimensional) of rock slopes, we propose a 3D-NSRNMM (3D nonlinear strength reduction numerical manifold method) that is based on the nonlinear GHB (Generalized Hoek-Brown) failure criterion. To effectively implement the proposed 3D-NSRNMM, two methods are adopted to convert the GHB parameters into the average and instantaneous equivalent MC parameters. With the proposed 3D-NSRNMM, the influences of different types of equivalent MC parameters, and boundary conditions on rock slopes' stability are investigated. The numerical results assessed from the proposed 3D-NSRNMM indicate that: 1) boundary conditions will significantly influence the safety factor and failure mode of a rock slope obtained from 3D analysis; 2) the safety factor from two-dimensional analysis is more conservative compared with 3D analysis; 3) Furthermore, safety factors based on the instantaneous equivalent MC parameters are very close to those based on the average equivalent MC parameters, but 3D rock slopes' failure modes based on the two different types of equivalent MC parameters are a little different from each other.

由于岩体的非线性破坏特性，采用基于线性MC（Mohr-Coulomb）破坏准则的传统SRM（强度折减法）研究岩质边坡的稳定性是不合适的。为了对岩石边坡进行 3D 分析（三维），我们提出了一种基于非线性 GHB（广义 Hoek-Brown）破坏准则的 3D-NSRNMM（3D 非线性强度折减数值流形方法）。为了有效地实现所提出的 3D-NSRNMM，采用两种方法将 GHB 参数转换为平均和瞬时等效 MC 参数。使用所提出的 3D-NSRNMM，研究了不同类型的等效 MC 参数和边界条件对岩质边坡稳定性的影响。从提议的 3D-NSRNMM 评估的数值结果表明：1）边界条件将显着影响3D分析得到的岩质边坡的安全系数和破坏模式；2）二维分析的安全系数比3D分析更保守；3) 此外，基于瞬时等效 MC 参数的安全系数与基于平均等效 MC 参数的安全系数非常接近，但基于两种不同类型等效 MC 参数的 3D 岩质边坡破坏模式彼此略有不同.