Analysis of flexural toppling failure of rock slopes subjected 
to the load applied on the top

ZHANG Hai-na; CHEN Cong-xin; ZHENG Yun; SUN Chao-yi; ZHANG Ya-peng; LIU Xiu-min

doi:10.16285/j.rsm.2018.0863

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Analysis of flexural toppling failure of rock slopes subjected to the load applied on the top

更新时间：2026-06-25

- Analysis of flexural toppling failure of rock slopes subjected to the load applied on the top
- Vol. 40, Issue 8, Pages: 2938-2946(2019)
- 作者机构：
  
  1. 中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室,湖北,武汉,430071
  2. 中国科学院大学,北京,100049
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2018.0863
  CLC： TU443
- Online First：24 August 2019，
  
  Published：2019
- 稿件说明：
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ZHANG Hai-na, CHEN Cong-xin, ZHENG Yun, et al. Analysis of flexural toppling failure of rock slopes subjected to the load applied on the top[J]. 2019, 40(8): 2938-2946.
DOI：

ZHANG Hai-na, CHEN Cong-xin, ZHENG Yun, et al. Analysis of flexural toppling failure of rock slopes subjected to the load applied on the top[J]. 2019, 40(8): 2938-2946. DOI： 10.16285/j.rsm.2018.0863.

摘要

车辆、坡顶堆载等造成的坡顶荷载是影响边坡稳定性的一个重要因素。首先，基于叠合悬臂梁模型和极限平衡理论，建立了坡顶荷载作用下岩质反倾边坡的力学分析模型，推导了坡顶荷载作用下边坡的剩余倾倒力和剩余滑移力计算公式，给出了岩层破坏模式判别条件，并通过大型数学分析软件Matlab将分析方法程序化；然后，通过与离散元模拟结果进行对比分析，验证了所提分析模型的准确性；最后，基于所提分析方法，进行了不同参数的敏感性分析。研究结果表明，坡顶荷载对岩层剩余力的影响较大，但对岩层破坏模式的影响不大；对边坡稳定性较为敏感的切坡角度为50°和岩层倾角为58°，当小于该值时，边坡稳定性将显著提高；层间黏聚力对自重边坡稳定性影响较大；数值模拟与理论分析得到的安全系数较为一致，验证了考虑坡顶荷载作用下弯曲倾倒破坏分析理论解的正确性，可为类似工程稳定性分析提供参考。

Abstract

Top load of slope caused by vehicle and slope surcharge is an important factor affecting slope stability. Firstly

the mechanical analysis model for rock slope under the top load is established based on the superposed cantilever beam model and the limit equilibrium theory. Then the residual overturning force and residual slip force of anti-inclined rock slope are derived

and the criterion for the failure mode of rock stratum is proposed. Meanwhile

the theoretical method is programmed by Matlab

and its theoretical solution is obtained and compared with the results of the discrete element simulation

which verifies that the proposed model is reasonable. Finally

according to the proposed method

the sensitivity analysis on different parameters is carried out. The results show that the effect of top load is large on the residual force of strata

but is small on the failure mode. The sensitive angles of slope and rock strata greatly improve the slope stability when it is larger than the actual angle value. The interlayer cohesion has a significant influence on the stability of slope with self-weight. The safety factors of numerical simulation and theoretical analysis are consistent

which proves the correctness of the theoretical solution of the flexural toppling failure under the top load. The results can provide references for the stability analysis of similar projects.

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