Many analytical methods have been adopted to estimate the slope stability by providing various stability numbers, e.g. static safety of factor (static FoS) or the critical seismic acceleration coefficient, while little attention has been given to the relationship between the slope stability numbers and the critical seismic acceleration coefficient. This study aims to investigate the relationship between the static FoS and the critical seismic acceleration coefficient of soil slopes in the framework of the upper-bound limit analysis. Based on the 3D rotational failure mechanism, the critical seismic acceleration coefficient using the pseudo-static method and the static FoS using the strength reduction technique are first determined. Then, the relationship between the static FoS and the critical seismic acceleration coefficient is presented under considering the slope angle β, the fractional angle φ, and the dimensionless coefficients B/H and c/γH. Finally, a fitting formula between the static FoS and the critical seismic acceleration coefficient is proposed and validated by analytical and numerical results.

许多分析方法通过提供各种稳定性数来估计边坡稳定性，例如静力安全系数（static FoS）或临界地震加速度系数，而很少关注边坡稳定性数与临界地震加速度之间的关系。地震加速度系数。本研究旨在在上限分析框架内研究静力FoS与土坡临界地震加速度系数之间的关系。基于3D旋转破坏机制，首先确定了使用拟静态方法的临界地震加速度系数和使用强度折减技术的静态FoS。然后，β、分数角φ以及无量纲系数B/H和c/γH。最后，提出静态FoS与临界地震加速度系数的拟合公式，并通过解析和数值结果进行验证。