The New Method for Solving the Safety Factor of Slope Based on the 2D Minimum Potential Energy Method

温树杰; 李红卫; 姚玮

doi:10.13409/j.cnki.jdpme.2017.03.020

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The New Method for Solving the Safety Factor of Slope Based on the 2D Minimum Potential Energy Method

更新时间：2025-12-11

- The New Method for Solving the Safety Factor of Slope Based on the 2D Minimum Potential Energy Method
- Vol. 37, Issue 3, Pages: 469-473(2017)
- 作者机构：
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- DOI：10.13409/j.cnki.jdpme.2017.03.020
  CLC： U43
- Published：2017
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[1]温树杰,李红卫,姚玮.二维最小势能法的边坡安全系数新求解方式[J].防灾减灾工程学报,2017,37(03):469-473.

温树杰, 李红卫, 姚玮. The New Method for Solving the Safety Factor of Slope Based on the 2D Minimum Potential Energy Method[J]. 2017, 37(3): 469-473.
[1]温树杰,李红卫,姚玮.二维最小势能法的边坡安全系数新求解方式[J].防灾减灾工程学报,2017,37(03):469-473. DOI： 10.13409/j.cnki.jdpme.2017.03.020.

温树杰, 李红卫, 姚玮. The New Method for Solving the Safety Factor of Slope Based on the 2D Minimum Potential Energy Method[J]. 2017, 37(3): 469-473. DOI： 10.13409/j.cnki.jdpme.2017.03.020.

摘要

针对任意形状的二维滑面边坡

选取滑体中任意单元体为研究对象

通过垂直于合外力方向上的静力平衡关系求解滑面上的剪应力;参照矢量和法定义安全系数的方式

求解出滑体下滑趋势方向

沿此方向求得边坡安全系数。通过与经典算例验证表明:该方法得出的边坡安全系数与其它方法计算结果基本一致

验证本文方法是可行的

可应用于边坡稳定性分析

且表明滑面上的剪应力分布状态对边坡安全系数是有影响的。

Abstract

Aiming at the two-dimensional arbitrary shape for sliding slope

any element in the sliding body is selected as the object of study.The shear stress on the slip surface was calculated by static equilibrium relationship in the direction perpendicular to the external force.The method of vector sum method to define the safety factor is referenced and the direction of the sliding body downward trend is solved according to the distribution of the shear stress.The safety factor of the slope is obtained in this direction.By verifying with the classic example

the results show that the slope safety factor obtained by this method is basically consistent with that calculated by other methods.This method is proved to be feasible and can be applied to slope stability analysis

and the shearing stress of sliding surface has influence on the slope safety factor.

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references

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单一地层任意滑移面的最小势能边坡稳定性分析方法 [J]. 沈爱超,李铀. 岩土力学 . 2009(08)

基于矢量和方法的边坡稳定性分析中整体下滑趋势方向的探讨 [J]. 郭明伟,葛修润,李春光,王水林,刘艳章. 岩土工程学报 . 2009(04)

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最小势能原理在边坡稳定性分析中的应用研究 [D]. 李小强. 中国科学院研究生院（武汉岩土力学研究所） 2004

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State of the Art: Limit Equilibrium and Finite-Element Analysis of Slopes [J] . James Michael Duncan. Journal of Geotechnical Engineering . 1996 (7)

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Three‐Dimensional Stability Analysis of Concave Slopes in Plan View [J] . Zhang Xing. Journal of Geotechnical Engineering . 1988 (6)

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