基于滑动面离散的边坡三维上限分析机构

doi:10.13722/j.cnki.jrme.2021.1306

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摘要传统的对数螺旋线机构无法用于内摩擦角空间变化的三维边坡上限分析，针对上述问题，提出一种新的基于滑动面离散的边坡三维机构。该机构的滑动面由一系列三角形离散单元构成，其生成过程采用了点到点技术，严格满足相关联流动法则的要求。详细阐述该机构的边界条件与离散策略，推导重力功率与内能耗散的计算方程，提出基于二分策略的安全系数求解流程，并对模型构建参数进行敏感性分析。通过对比分析，验证本机构在多种工况下的适用性。最后利用该机构计算黏聚力与内摩擦角空间变异边坡的安全系数，结果表明强度变异系数对安全系数均值有较大影响。

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	孙志彬1
	2
	郝状1
	谭晓慧3
	杨小礼4
	姬建2

关键词 ：边坡工程, 边坡稳定性, 三维稳定性, 上限分析, 离散机构, 空间变异性

Abstract：The traditional log-spiral mechanism cannot be used for three-dimensional (3D) slope kinematic analysis with spatially varying friction angle. To address this problem，a 3D mechanism based on sliding surface discretization is proposed. This mechanism，with a sliding surface consisting of several triangular elements，uses the point-to-point technique in generation process and strictly satisfies the associated flow rule. The boundary conditions and construction process of this mechanism are described，and the equations of the gravity work power and the internal energy dissipation are derived. Further，the safety factor calculation process based on the dichotomous strategy is proposed，and the sensitivity analysis of the model parameters is carried out. The reliability of this mechanism under various conditions is verified by comparative analysis. Finally，the safety factor of a 3D slope with spatial variation of soil strength is calculated using the present mechanism. The results show that the variation coefficient of soil strength has a large influence on the mean value of the safety factor.

Key words： slope engineering slope stability three-dimensional stability upper bound analysis discretization mechanism spatial variability

引用本文:

孙志彬1，2，郝状1，谭晓慧3，杨小礼4，姬建2. 基于滑动面离散的边坡三维上限分析机构[J]. 岩石力学与工程学报, 2022, 41(9): 1923-1934.
SUN Zhibin1，2，HAO Zhuang1，TAN Xiaohui3，YANG Xiaoli4，JI Jian2. Three-dimensional upper bound analysis mechanism for slopes based on sliding surface discretization. , 2022, 41(9): 1923-1934.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2021.1306 或 http://rockmech.whrsm.ac.cn/CN/Y2022/V41/I9/1923

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