基于弹性理论的顺层边坡失稳破坏力学模型分析

A MECHANICAL MODEL FOR AN INCLINED BEDDING SLOPE BASED ON ELASTIC THEORY

在分析顺层边坡受力状况的基础上,当边坡的坡脚未被破坏时,将顺层边坡视为弹性地基上的悬臂梁,由此提出其失稳破坏的力学模型。应用弹性理论求出在力作用下悬臂梁的应力状态,并根据摩尔-库伦准则,导出可判定其稳定性的安全系数计算公式,得出了顺层边坡处于极限平衡状态极限长度。同时通过实例计算,将文中方法与应用突变理论所得结果对比,验证了本文方法的可行性。

Based on analysis of the force field in an inclined bedding slope, the authors present a mechanical model, in which the slope is treated as a cantilever beam on the elastic foundation. The internal stresses of the beam are calculated under the action of different forces using the elastic theory. The safety coefficient of the beam is then determined according to Mohr-Coulomb criterion. As a result, a critical length of the stable slope is obtained. By comparing results in this paper with the results obtained from the catastrophic theory method, the authors conclude that the method presented in this paper is applicable for such analysis.