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弯曲倾倒破坏是层状反倾边坡一种主要破坏模式,极限平衡分析方法是弯曲倾倒破坏研究中最为常用的方法。首先,在Aydan悬臂梁极限平衡分析模型的基础上,建立考虑岩层上部形状改变、破坏台阶高度和坡脚三角形岩层等影响的弯曲倾倒极限平衡方程;其次,根据岩层的稳定性状态和破坏形式,将基准面以上岩体分为稳定区、倾倒区和滑移区3个部分,并给出分区边界的计算方法;再次,基于极限平衡,提出层状反倾边坡弯曲倾倒破坏基准面的计算方法并编写相应的MATLAB计算程序;最后,通过2个工程实例验证本文所提方法,并进行参数分析。研究表明,破坏基准面与层面法向夹角随切坡角度近线性增大;随岩层厚度的增加而减小;随着切坡角度的增加,边坡破坏模式逐渐由倾倒–滑移破坏转变为倾倒破坏;自然坡度越陡,破坏区的范围越大。
Bending and dumping failure is one of the major failure modes of stratified anti-dumping slope. The method of limit equilibrium analysis is the most commonly used method in the study of bending and dumping failure. Firstly, based on the Aydan limit equilibrium analysis model of the cantilever beam, a bending-dump limit equilibrium equation considering the influence of the upper part of the strata, the height of the failure step and the triangle of the slope foot is established. Secondly, according to the stability state and failure mode of the strata, The rock mass above the reference plane is divided into three parts: the stability zone, the dumping zone and the slip zone, and the method for calculating the boundary of the zone is given. Thirdly, based on the limit equilibrium, Method and write the corresponding MATLAB calculation program; Finally, through two engineering examples to verify the method proposed in this article, and parameter analysis. The results show that the angle between the failure datum plane and the normal direction of the plane increases nearly linearly with the slope angle, decreases with the increase of the thickness of the rock slope, and the slope failure mode gradually changes from the dip-slip failure To dump the destruction; the steeper the natural slope, the greater the area of destruction.