The infinite slope stability problem receives much interest in geotechnical engineering, as it can provide an initial assessment on the mechanics of shallow landslides. It is well known that natural soils exhibit spatial variability, with properties varying from point to point, and a trend of strength changing with depth. This paper will use a random field method to investigate the reliability of undrained infinite slopes with linearly increasing mean strength. An algorithm generating 1D non-stationary random fields of undrained strength will be introduced. Infinite slopes subjected to both static and pseudo-seismic loadings are considered. The paper reviews the influence of non-stationarity of undrained strength on the reliability and failure mechanisms of infinite slopes.

无限边坡稳定性问题在岩土工程中很受关注，因为它可以提供对浅层滑坡力学的初步评估。众所周知，天然土壤表现出空间变异性，其特性因点而异，强度随深度变化的趋势。本文将采用随机场法研究平均强度线性增加的不排水无限边坡的可靠性。将介绍一种生成不排水强度的一维非平稳随机场的算法。考虑了承受静态和伪地震载荷的无限坡度。综述了不排水强度的非平稳性对无限边坡可靠度和破坏机理的影响。