【论文】基于物质点法的斜坡上条形基础模拟分析

摘要：斜坡-条形基础问题因受到地基承载力与边坡稳定性的双重影响而显得异常复杂。为深入探究斜坡上条形基础的破坏机制，本研究采用物质点法（MPM）开展数值模拟研究，该法尤为适合模拟岩土大变形问题。通过与文献中的试验数据对照，证实了MPM在预测地基承载力和辨别破坏模式上的高度准确性。研究表明，若后退距离、土体黏聚力或内摩擦角增大，则地基承载力将线性增长，但地基承载力亦会随斜坡坡角增大而减少。当基础与斜坡距离较远时，其受力变形模式与平地上的基础相似。随着坡角从15°增至75°，所需的临界后退距离比从3逐渐增至8，并且这一变化更多地受内摩擦角的控制，而非黏聚力。基于后退距离和斜坡坡角，可识别出斜坡上基础的四种破坏模式。其中，存在一个过渡的破坏模式，即基础失稳与斜坡失稳的组合。通过实证研究，建立了后退距离与坡角之间的关系，这有助于预测地基承载力减少率。最后，提出了一个斜坡上条形基础的破坏模式分类系统，为岩土工程师优化斜坡上的基础设计方案提供了指导建议。

关键词：地基承载力 · 条形基础 · 物质点法 · 斜坡稳定性 · 失效模式

论文标题：Modeling strip footings on slopes using the material point method

作者：Tian-Cheng Xie, Hong-Hu Zhu, Chun-Xin Zhang & Wei Zhang

来源：Bulletin of Engineering Geology and the Environment volume 82, Article number: 99 (2023)

DOI：https://doi.org/10.1007/s10064-023-03124-4

Abstract: The footing-on-slope system is very complicated since it is governed, in part, by both the bearing capacity and slope stability. The material point method (MPM), which is specifically suitable for large deformation problems, is utilized to analyze the failure mechanism of the footing-on-slope system. The reliability of the MPM in predicting bearing capacity and identifying failure modes is validated using the published results in the literature. The results show that an increase in the setback distance, cohesion, and friction angle causes a linear increase in bearing capacity, while the bearing capacity decreases with an increasing slope angle. When the footing is sufficiently far from the slope, its response is similar to that of a footing located on horizontal ground. The critical setback distance ratio increases from 3 to 8 as the slope angle varies from 15° to 75°, and it is mainly affected by the friction angle rather than the cohesion. Four distinct failure modes of the footing-on-slope system are identified based on the setback distance and slope angle. A transitional failure mode is identified as a combination of foundation failure and slope instability. Empirical relationships between the setback distance and slope angle are established, enabling the prediction of the reduction factor of the bearing capacity. Finally, a failure mode classification system of strip footings on slopes is proposed, which may provide practitioners with guidelines for designing footing-on-slope systems.
 

Keywords: Bearing capacity · Strip footing · Material point method · Slope stability · Failure mode

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Cite this article: Xie, TC., Zhu, HH., Zhang, CX. et al. Modeling strip footings on slopes using the material point method. Bull Eng Geol Environ 82, 99 (2023). https://doi.org/10.1007/s10064-023-03124-4