Eigenvalue Problem from the Stability Analysis of Slopes | |
Zheng, Hong1,2 | |
刊名 | JOURNAL OF GEOTECHNICAL AND GEOENVIRONMENTAL ENGINEERING
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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. |
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