Slope instability and failure may lead to severe geological disasters, which are a primary concern of geotechnical engineering. To estimate the safety of a slope, Taylor (1937) proposed a stability chart that evaluates the factor of safety (FOS) of a homogeneous slope using several simple geometric and material parameters. This study extends the stability chart further into the field of failure, summarising and discussing the failure mode and affected area. A few hundred slope failure simulations have been conducted using the material point method (MPM), which reproduces similar FOSs to traditional stability charts. Three major failure modes, i.e., face failure, toe failure, and base failure, are categorized according to the different positions of the failure bands, and a failure mode distribution spectrum chart is established according to the material parameters of the slope. The affected area of slope failure is characterized by four indicators: the influence distance, run-out distance, sliding depth, and sliding volume. An instability chart is proposed to describe the affected area of slope failure based on simple geometry and material parameters. Further analysis indicates that the internal friction angle plays the most prominent role in the failure modes and slope failure volumes.

中文翻译：

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使用质点法对边坡大变形进行实用的稳定/不稳定图分析


边坡失稳和破坏可能导致严重的地质灾害，这是岩土工程关注的首要问题。为了估计斜坡的安全性，Taylor (1937) 提出了一个稳定性图，该图使用几个简单的几何和材料参数来评估均匀斜坡的安全系数 (FOS)。本研究将稳定性图进一步扩展到失效领域，总结和讨论了失效模式和影响区域。使用质点法 (MPM) 进行了数百个边坡破坏模拟，该方法再现了与传统稳定性图类似的 FOS。根据破坏带位置的不同，对面破坏、趾部破坏、底面破坏三种主要破坏模式进行分类，并根据边坡材料参数建立破坏模式分布谱图。边坡失稳影响范围用影响距离、跳动距离、滑动深度和滑动量四个指标来表征。提出了一种基于简单几何和材料参数的失稳图来描述边坡破坏的影响区域。进一步分析表明，内摩擦角在破坏模式和边坡破坏体积中起着最突出的作用。