Eigenvalue Problem from the Stability Analysis of Slopes

doi:10.1061/(ASCE)GT.1943-5606.0000071

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	Eigenvalue Problem from the Stability Analysis of Slopes
	Zheng, Hong 1,2
刊名	JOURNAL OF GEOTECHNICAL AND GEOENVIRONMENTAL ENGINEERING
	2009
卷号	135 期号:5 页码:647-656
ISSN号	1090-0241
DOI	10.1061/(ASCE)GT.1943-5606.0000071
英文摘要	Of the existing methods for the three-dimensional (3D) limit equilibrium analysis of slopes, none can simultaneously satisfy all six equilibrium equations. Except for Fellenius' method that satisfies only one condition of moment equilibrium, all these methods could encounter numerical problems in their applications. Based on the global analysis procedure that considers the whole sliding body instead of individual columns as the loaded body, it is shown that the 3D limit equilibrium analysis of slopes simply reduces to the solution of a generalized eigenvalue problem in which the largest real eigenvalue is just the factor of safety (FOS). The proposed solution is rigorous and can accommodate any shape of slip surfaces. Under undrained conditions, the problem has a unique solution and the FOS has an explicit expression. In addition, through transforming the volume integrals over the sliding body into the boundary integrals, the proposed method does not need to partition the sliding body into columns.
WOS研究方向	Engineering ; Geology
语种	英语
出版者	ASCE-AMER SOC CIVIL ENGINEERS
WOS记录号	WOS:000265235800005
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/3207]
专题	岩土力学所知识全产出_期刊论文国家重点实验室知识产出_期刊论文
作者单位	1.China Three Gorges Univ, Key Lab Geol Hazards, Gorges Reservoir Area 3 2.Chinese Acad Sci, State Key Lab Geomechan & Geotech Engn, Inst Rock & Soil Mech;
推荐引用方式 GB/T 7714	Zheng, Hong. Eigenvalue Problem from the Stability Analysis of Slopes[J]. JOURNAL OF GEOTECHNICAL AND GEOENVIRONMENTAL ENGINEERING,2009,135(5):647-656.
APA	Zheng, Hong.(2009).Eigenvalue Problem from the Stability Analysis of Slopes.JOURNAL OF GEOTECHNICAL AND GEOENVIRONMENTAL ENGINEERING,135(5),647-656.
MLA	Zheng, Hong."Eigenvalue Problem from the Stability Analysis of Slopes".JOURNAL OF GEOTECHNICAL AND GEOENVIRONMENTAL ENGINEERING 135.5(2009):647-656.