Earthquakes are one of the most significant external factors that induce the failure of anti-dip bedding rock slopes (ABRSs). The pseudo-static method is currently (and is likely to remain in the near future) the most effective and popular method used to evaluate the stability and design of such slopes under the action of earthquakes. In this work, based on the limit equilibrium method and genetic algorithm, a new method considering the inertial force of earthquakes is proposed to assess the stability of ABRSs. Results previously obtained from centrifuge tests and reported in the literature were used to investigate the veracity of the proposed method. A parametric study was then performed to investigate the effects of earthquakes and the mechanical properties of the rock layers on the failure mechanism of an ABRS. The results show that ABRSs are more likely to undergo a complex combination of shearing and flexural toppling failure under the combined action of gravity and earthquake. The direction of the earthquake-induced inertial force, tensile strength of the rock layers, and shear strength of the joints significantly affect the stability of ABRSs. On the other hand, these factors have little influence on the shape of the failure surface. The failure surface is stepped (with steps of different heights) rather than a plane. The failure surface and corresponding safety factor of an ABRS can be readily found using the proposed method, and the failure mode of each rock layer can be obtained. The method proposed in this work provides a convenient theoretical tool for the design of ABRSs in regions prone to seismic activity.

地震是引起反倾角层状岩质边坡（ABRS）破坏的最重要的外部因素之一。伪静力法是目前（并且很可能会在不久的将来保留）最有效，最流行的方法，用于评估地震作用下此类边坡的稳定性和设计。在此基础上，基于极限平衡法和遗传算法，提出了一种考虑地震惯性力的新方法来评估ABRS的稳定性。先前从离心机测试中获得并在文献中报告的结果用于研究所提出方法的准确性。然后进行了参数研究，以研究地震和岩石层的力学性能对ABRS破坏机理的影响。结果表明，在重力和地震的共同作用下，ABRS更有可能经历剪切和弯曲倾覆破坏的复杂组合。地震引起的惯性力的方向，岩层的抗张强度和节理的剪切强度会显着影响ABRS的稳定性。另一方面，这些因素对破坏面的形状影响很小。破坏表面是阶梯状的（具有不同高度的阶梯），而不是平面。利用所提出的方法可以很容易地找到ABRS的破坏面和相应的安全系数，并可以得到各岩石层的破坏模式。这项工作中提出的方法为易于地震活动地区的ABRS设计提供了方便的理论工具。