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| SOLUTION OF VECTOR SUM FACTOR OF SAFETY OF SLOPE BY THREE-DIMENSIONAL METHOD OF COLUMNS |
| LUO Xianqi1，YUAN Heng2 |
(1. School of Naval Architecture，Ocean and Civil Engineering，Shanghai Jiaotong University，Shanghai 200030，China；
2. Institute of Geologic Disaster Prevention，China Three Gorges University，Yichang，Hubei 443002，China) |
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Abstract Through dividing the potential sliding body into slices and introducing several reasonable assumptions to forces acting between columns，the static equilibrium analysis is conducted for the columns and the sliding body，and the anti-sliding forces between columns and the normal force acting on sliding surface are thus calculated. On the basis of the definition of the vector sum factor of safety，a three-dimensional method of columns is proposed. It is indicated through some examples that for planar sliding surfaces and symmetrical sliding surfaces the factor of safety based on the definition of vector sum is in agreement with that based on the strength reduction. If the sliding surface is more complicated，the former is usually less than the latter.
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Received: 03 March 2010
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| [1] DUNCAN J M. State of the art：limit equilibrium and finite element analysis of slopes[J]. Journal of Geotechnical Engineering，1996，22(7)：577–596.
[2] XING Z. Three-dimensional stability analysis of concave slopes in plan view[J]. Journal of Geotechnical Engineering，ASCE，1998，114(6)：658–671.
[3] 冯树仁，丰定祥，葛修润，等. 边坡稳定性的三维极限平衡分析方法及应用[J]. 岩土工程学报，1999，21(6)：657–661.(FENG Shuren，FENG Dingxiang，GE Xiurun，et al. 3D limit equilibrium method for slope stability and its application[J]. Chinese Journal of Geotechnical Engineering，1999，21(6)：657–661.(in Chinese))
[4] 陈祖煜，弥宏亮，汪小刚. 边坡稳定三维分析的极限平衡方法[J]. 岩土工程学报，2001，23(5)：525–529.(CHEN Zuyu，MI Hongliang，WANG Xiaogang. A three-dimensional limit equilibrium method for slope stability analysis[J]. Chinese Journal of Geotechnical Engineering，2001，23(5)：525–529.(in Chinese))
[5] 朱大勇，丁秀丽. 三维边坡稳定准严格极限平衡解答[C]// 三峡库区地质灾害与岩土环境学术研讨会论文集. 重庆：[s.n.]，2006：166–177.(ZHU Dayong，DING Xiuli. Quasi-rigorous limit equilibrium solutions of 3D slope stability[C]// Proceedings of the Academic Seminar on Geological Hazards and Geotechnical Environments. Chongqing：[s.n.]，2006：166–177.(in Chinese))
[6] 郑 宏. 严格三维极限平衡法[J]. 岩石力学与工程学报，2007，26(8)：1 529–1 537.(ZHENG Hong. A rigorous three-dimensional limit equilibrium method[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(8)：1 529–1 537.(in Chinese))
[7] 郑 宏，田 斌，刘德富，等. 关于有限元边坡稳定性分析中安全系数的定义问题[J]. 岩石力学与工程学报，2005，24(13)：2 225–2 230.(ZHENG Hong，TIAN Bin，LIU Defu，et al. On definitions of safety factor of slope stability analysis with finite element method[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(13)：2 225–2 230.(in Chinese))
[8] 葛修润. 用PC型微机对岩体工程课题进行有限元分析[C]// 第一届全国计算岩土力学研讨会论文集. 成都：西南交通大学出版社，1987：74–85.(GE Xiurun. Finite element analysis of rock mass engineering by PC microcomputer[C]// Proceedings of the 1st National Symposium on Computational Rock and Soil Mechanics. Chengdu：Southwest Jiaotong University Press，1987：74–85.(in Chinese))
[9] 葛修润. 岩石疲劳破坏的变形控制规律、岩土力学试验的实时X射线CT扫描和边坡坝基抗滑稳定分析的新方法[J]. 岩土工程学报，2008，30(1)：1–20.(GE Xiurun. Deformation control law of rock fatigue failure，real-time X-ray CT scan of geotechnical testing，and new method of stability analysis of slopes and dam foundations[J]. Chinese Journal of Geotechnical Engineering，2008，30(1)：1–20.(in Chinese))
[10] 刘艳章. 边坡与坝基抗滑稳定的矢量和分析法研究[博士学位论文][D]. 武汉：中国科学院武汉岩土力学研究所，2007.(LIU Yanzhang. Vector sum analysis method of slope and dam foundation stability against sliding[Ph. D. Thesis][D]. Wuhan：Institute of Rock and Soil Mechanics，Chinese Academy of Sciences，2007.(in Chinese))
[11] 刘艳章，葛修润，李春光，等. 基于矢量法安全系数的边坡与坝基稳定分析[J]. 岩石力学与工程学报，2007，26(10)：2 130– 2 140.(LIU Yanzhang，GE Xiurun，LI Chunguang，et al. Stability analysis of slope and dam foundation based on vector method safety factor[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(10)：2 130–2 140.(in Chinese))
[12] 郭明伟，葛修润，李春光，等. 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]. 岩土工程学报，2009，31(4)：577–583.(GUO Mingwei，GE Xiurun，LI Chunguang，et al. Study on potential sliding in slope stability analysis based on vector sum method[J]. Chinese Journal of Geotechnical Engineering，2009，31(4)：577–583.(in Chinese))
[13] 郭明伟，李春光，葛修润，等. 基于矢量和分析方法的边坡滑面搜索[J]. 岩土力学，2009，30(6)：1 775–1 781.(GUO Mingwei，LI Chunguang，GE Xiurun，et al. Searching potential slip surface of slopes based on the vector sum analysis method[J]. Rock and Soil Mechanics，2009，30(6)：1 775–1 781.(in Chinese))
[14] 吴振君，葛修润. 求解边坡矢量和安全系数的条分法[J]. 岩土力学，2009，30(8)：2 337–2 342.(WU Zhenjun，GE Xiurun. Solving vector sum factor of safety of slope by method of slices[J]. Rock and Soil Mechanics，2009，30(8)：2 337–2 342.(in Chinese))
[15] 陈 锋. 基于矢量和法的边坡三维极限平衡稳定分析法及应用[硕士学位论文][D]. 杭州：浙江大学，2008.(CHEN Feng. A limit equilibrium model for 3D slope analysis based on vector sum method and application[M. S. Thesis][D]. Hangzhou：Zhejiang University，2008.(in Chinese)) |
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2011, Vol. 30 
