Finite element analysis of soil slope based on circular slip surface assumption

YIN Zong-ze; LV Qing-fen

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Finite element analysis of soil slope based on circular slip surface assumption

更新时间：2026-06-25

- Finite element analysis of soil slope based on circular slip surface assumption
- Vol. 26, Issue 10, (2005)
- 作者机构：
  
  1. 河海大学岩土工程研究所,南京,210098
  2. 兰州大学土木工程与力学学院,兰州,730000
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU457
- Online First：30 December 2013，
  
  Published：2005
- 稿件说明：
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YIN Zong-ze, LV Qing-fen. Finite element analysis of soil slope based on circular slip surface assumption[J]. 2005, 26(10).
DOI：

YIN Zong-ze, LV Qing-fen. Finite element analysis of soil slope based on circular slip surface assumption[J]. 2005, 26(10). DOI：

摘要

提出一种基于有限元应力变形计算的边坡稳定分析方法，仍假定滑动面形状为圆弧形，有限元网格由一组同心圆作为纬线，一组竖向线为经线构成。对两相邻圆弧线所夹的弧形带分析滑动力和抗滑力，建立平衡方程，确定安全系数，其中小值安全系数对应的弧形带为可能的滑动带。变化圆心位置用优选方法寻找最小安全系数对应的圆心，从而得出真正的滑动面。算例分析表明，该方法计算所得安全系数与Bishop法接近，是合理的，其突出优点是由有限元计算直接得出滑面上的应力，而不须作近似的插值处理，因而应力更准确。该方法可以考虑土的非线性变形特性，也更符合土的实际情况。此外，用有限元计算得出位移，亦可将稳定分析和变形联系起来，为现场通过位移监测来估计边坡的稳定性提供了可能性，同时也为膨胀土边坡的稳定分析中考虑膨胀性的影响提供了可能性。

Abstract

A slope stability analysis method based on finite element analysis is developed. The slip surface is still assumed to be circular arc. The mesh of finite element consists of a family of circular arc lines and a family of vertical lines. The slip force and the resistance are analyzed for the arc belt which is between two neighbouring arc lines

and the equilibrium equation is set up. Then the factor of safety is determined. The arc belt corresponding to the smallest factor of safety is the possible slip belt. The position of circle center is changed and the circle center of real slip surface is seeked by the optimum seek method. For the real slip surface

the factor of safety is minimum. The computation examples show that the calculated factor of safety is quite close to that of Bishop’s method. And this shows that the proposed method is reasonable. The outstanding merit of the proposed method is that the stress state on slip surface can be obtained directly from finite element computation

and is more accurate. The method can reflect nonlinear deformation behavior of soil and is more close to the real situation. Besides

as one of the methods of slope stability analysis by finite element

the displacements are calculated. This offers the possibility to estimate the slope stability during construction by displacement monitor in situ. And it can also be used to analyze the slope of expansive soil in considering the influence of expansive deformation.

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