(1 广东省建筑科学研究院，广州 510500；2 长沙市轨道交通集团有限公司，长沙 410007）

[摘要]  运用有限差分软件FLAC^3D对边坡进行稳定性分析，获取边坡潜在滑动面后，根据极限平衡原理，获取边坡剩余下滑推力，为边坡稳定性问题提供一种新的综合性分析方法。运用该方法对广州市南沙区鹿颈小学后山边坡进行稳定性分析，并与基于极限平衡法的瑞典条分法、简化Bishop法和Janbu法分析结果进行对比。结果表明：采用结合极限平衡的边坡有限差分稳定性分析法对边坡进行稳定性分析，获得的边坡潜在滑动面能更真实反映边坡的实际情况，求得的边坡安全系数与剩余下滑推力更符合工程实际。利用该方法对边坡进行稳定性分析能为边坡支护设计提供合理的设计依据。

[关键词]  边坡；有限差分法；极限平衡法；稳定性分析

中图分类号：TU459          文献标识码：A          文章编号：

Slope stability analysis method based on finite difference combined with limit equilibrium

Liu Lian¹，Xiao Xinxin²，Lv Wenlong¹

 (1 Guangdong Province Academy of Building Research, Guangzhou 510500,China；2 Changsha Metro Group Co.,Ltd., Changsha 410007,China )

Abstract：By analyzing the slope stability with FLAC3D based on finite difference method, the potential slip surface can be found. And then the slope residual downslide thrust was obtained according to limit equilibrium method. This new method provided synthetic analysis on the slope stability. By implementing this method on the slope stability on Nansha Lujing elementary school in Guangzhou and comparing the result with limit equilibrium method, such as Swedish slip-circle method, simplified Bishop method and Janbu method, it is proved that the slope stability analysis method based on finite difference combined with limit equilibrium is feasible. The potential slip surface obtained by this method highly matches the actual situation of slope, the safety coefficient and residual downslide thrust deduced by this method also well fit actual situation. Analyzing the slope stability by this method can provide reasonable theoretical foundation for slope reinforce design.

Keywords：slope; finite difference method; limit equilibrium method; stability analysis

参   考   文   献

[1] 张超,杨春和.有限差分强度折减法求解边坡稳定性[J].土木工程与管理学报,2011,28(2):17~21.

[2] 陈祖煜.土质边坡稳定性分析:原理·方法·程序[M].北京:中国水利水电出版社,2003.

[3] 刘恋.边坡微型抗滑桩加固技术研究[D].长沙:中南大学,2012.

[4] 王文星.岩体力学[M].长沙:中南大学出版社,2004.

[5] 谢和平.岩石、混凝土损失力学[M].徐州:中国矿业大学出版社，1990.

[6] ZIENKIEWICZ O C, HUMPHESON C, LEWIS R W. Associated and non-associated visco-plasticity and plasticity

in soil mechanics[J]. Geotechnique, 1975,25(4):671~689.

[7] GRIFFITHS D V, LAN P A. Slope stability analysis by finite element[J].Geotechnique ,1999,49(3):387~403.

[8] DAWSON E M , ROTH W H ,DRESCHER A .Slope

stability analysis by strength reduction [J].Geotechnique,1999,49(6):835~840.

[9] 宋二祥.土工结构安全系数的有限元计算[J].岩土工程学报,1997,19(2):1~7.

[10] 郑颖人,赵尚毅.有限元强度折减法在土坡与岩坡中的应用[J].岩石力学与工程学报,2004,23(19):3381~3388.