Upper bound limit analysis method for stability analysis of bedding rock slopes

WANG Zhi-de; XIA Yuan-you; XIA Guo-bang; LI Jing-dong; YANG Jin-hua

doi:10.16285/j.rsm.2015.02.038

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Upper bound limit analysis method for stability analysis of bedding rock slopes

更新时间：2026-06-25

- Upper bound limit analysis method for stability analysis of bedding rock slopes
- Vol. 36, Issue 2, Pages: 576-583(2015)
- 作者机构：
  
  1. 武汉理工大学土木工程与建筑学院,湖北,武汉,430070
  2. 云南省公路开发投资有限公司,云南,昆明,650200
  3. 云南交通职业技术学院建筑工程学院,云南,昆明,650101
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2015.02.038
  CLC： TU457
- Online First：13 June 2018，
  
  Published：2015
- 稿件说明：
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WANG Zhi-de, XIA Yuan-you, XIA Guo-bang, et al. Upper bound limit analysis method for stability analysis of bedding rock slopes[J]. 2015, 36(2): 576-583.
DOI：

WANG Zhi-de, XIA Yuan-you, XIA Guo-bang, et al. Upper bound limit analysis method for stability analysis of bedding rock slopes[J]. 2015, 36(2): 576-583. DOI： 10.16285/j.rsm.2015.02.038.

摘要

基于极限分析上限法理论，运用体积力增量法，考虑单层滑动面极限分析模型的缺陷，建立考虑含结构面的多岩层错动的任意块体模型，利用岩块体在外荷载作用下达到极限破坏时，外荷载做的功与岩体消耗的功相等为基础建立等式方程，由此推导得到此类边坡稳定系数的计算公式。在分析典型边坡算例的基础上，对比离散元数值模拟结果，验证了该方法的可行性和适用性。对云南省普宣高速公路某顺层岩质边坡进行计算，其稳定系数接近离散元数值模拟结果，数值稍有偏大，边坡稳定。其研究结果为此类边坡稳定性评价提供了一种新的计算方法。

Abstract

Using the theory of upper bound limit analysis method and the volume force increment method

considering the defects of limit analysis model of a single sliding surface

an arbitrary block model considering the dislocation effects of multiple rock layers with structural joints is established. When the rock mass reaches the limit state (destruction) under external load

the work that is done by external loads is equal to the work that rock mass absorbs. Based on this premise

relevant equation can be established; thereby the calculation formula of slope stability coefficient can be derived. After analyzing typical numerical examples of slope and comparing to results of discrete element numerical simulation

the feasibility and applicability of this method are verified. A calculation of bedding rock slope located in Puli-Xuanwei highway in Yunnan province is achieved

the result shows that the stability coefficient is close to the result obtained from discrete element numerical simulation. The coefficient is slightly larger

but the slope is stable. It provides a new calculation method for evaluating the stability of this kind of slope.

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