层状反倾边坡弯曲倾倒破坏计算方法探讨

doi:10.13722/j.cnki.jrme.2014.0838

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摘要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。

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	郑允1
	陈从新1
	刘秀敏1
	刘婷婷2
	周意超1
	夏开宗1
	付华1

关键词 ：边坡工程, 倾倒破坏, 反倾边坡, 破坏基准面, 参数分析

Abstract：Flexural toppling failure is one of the most common types of failure in layered counter-tilt slope. The limit equilibrium method is still the most common approach in the toppling failure study at present. Firstly，Based on the cantilever beam limit equilibrium model proposed by Aydan，the toppling failure limit equilibrium equation considering the influence of block top shape，damaged step height and slope toe triangle block is established. Secondly，depending on the block stability state and failure mode，blocks above the basal plane are divided into three zones that stable zone，toppling zone and sliding zone. In addition，the boundary condition is deduced. Thirdly，based on limit equilibrium equation，the calculation method of failure basal plane for flexural toppling failure in layered counter-tilt slope is proposed and a special computer code is developed. Finally，two case studies are used for practical verification of the proposed approach as well as the parametric study is conducted. The analytical results show that the angle between the failure basal plane and the plane normal to the discontinuities nearly increases linearly with the slope cut angle while decreases with the strata thickness. The results also indicate that slope failure mode gradually transforms from toppling failure to toppling-slipping failure with the increase of slope cut angle. In addition，the steeper the slope natural angle and the larger the scope of the destruction zone.

Key words： slope engineering toppling failure counter-tilt slope failure basal plane parametric analysis

引用本文:

郑允1，陈从新1，刘秀敏1，刘婷婷2，周意超1，夏开宗1，付华1. 层状反倾边坡弯曲倾倒破坏计算方法探讨[J]. 岩石力学与工程学报, 2015, 34(S2): 4252-4261.
ZHENG Yun1，CHEN Congxin1，LIU Xiumin1，LIU Tingting2，ZHOU Yichao1，XIA Kaizong1，FU Hua1. INVESTIGATION ON CALCULATION METHOD OF LAYERED COUNTER-TILT SLOPE FOR FLEXURAL TOPPLING FAILURE. , 2015, 34(S2): 4252-4261.

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https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2014.0838 或 https://rockmech.whrsm.ac.cn/CN/Y2015/V34/IS2/4252

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