The bearing capacity of shallow foundations may decrease when located near slopes, particularly under seismic conditions. However, there is limited work that isolates the destabilising influences of seismicity and finite slope geometry on ultimate bearing capacity in terms of conventional bearing capacity factors. Herein, analytical solutions based on upper-bound kinematic limit analysis are used to isolate both the mechanism of failure and bearing capacity factors (N_c, N_γ and N_q) for shallow foundations near slopes subject to seismic action without using principles of superposition. The analytical solutions of ultimate seismic bearing capacity show good agreement and accuracy compared with numerical results. Seismic bearing capacity factors are assessed considering transitions in failure mechanism, soil properties and finite configurations of slope and footing geometry. The results presented demonstrate significant non-linearity in bearing capacity factors that have not been previously demonstrated, primarily owing to the transition in governing mechanism with geometry, shear strength or seismic loading. This study shows that the isolation of bearing capacity factors without superposition is possible considering slope and footing geometry, and is greatly influenced by the failure mechanism.

中文翻译：

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近斜坡浅地基破坏机理对抗震承载力因子的影响

当位于斜坡附近时，浅地基的承载力可能会降低，特别是在地震条件下。然而，就常规承载力因素而言，将地震活动性和有限边坡几何形状对极限承载力的不稳定影响隔离开来的工作有限。在此，基于运动学上限分析的解析解用于隔离失效机理和承载力因子（N _c、N _γ和N _q) 适用于受地震作用的斜坡附近的浅基础，不使用叠加原理。极限抗震承载力的解析解与数值结果相比具有较好的一致性和准确性。考虑到破坏机制、土壤特性以及斜坡和基础几何形状的有限配置的转变，评估了抗震承载力因素。所呈现的结果表明，以前未曾证明过的承载能力因素存在显着的非线性，这主要是由于几何、剪切强度或地震载荷的控制机制发生了转变。该研究表明，考虑到坡度和基础几何形状，承载力因素不叠加的隔离是可能的，并且受破坏机制的影响很大。