突变理论在顺层边坡稳定分析中的应用

Application of the Catastrophic Theory on Stability Analysis of an Inclined Bedding Slope

本文从突变理论入手,建立了顺层边坡的尖角型突变模型,并推导出了边坡系统的总势能表达式以及这类边坡失稳的临界条件。此外,还分析了坡体内应力状态的渐变以及应力路径对边坡稳定状态突变的影响。最后,结合实例验证了临界条件的实用性。

A cusp catastrophic model is founded on the stability of an inclined bedding slope from catastrophic theory, and a formula of the total potential energy and a criterion condition are derived. In addition, the effect is analyzed of the gradual change of the stress state in the slope body as well as the stress path on the stable state of the slope.