Analytical Solutions for Three-Dimensional Stability of Limited Slopes

A method of three-dimensional limited slope stability analysis is presented here based on the upper- bound theorem of the limit analysis approach. A rotating collapse mechanism is considered in which energy dissipation takes place along curve velocity discontinuities. In the frictional soils, the fa...

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Published inShanghai jiao tong da xue xue bao Vol. 17; no. 2; pp. 251 - 256
Main Author 夏小和 韩长玉 王建华
Format Journal Article
LanguageEnglish
Published Heidelberg Shanghai Jiaotong University Press 01.04.2012
Subjects
Algorithms
Architecture
Collapse
Computer Science
Electrical Engineering
Engineering
Failure
Life Sciences
Materials Science
Slope stability
Slopes
Soils
Theorems
Three dimensional
slope
limit analysis
TU 473
stability
landslides
TU 46
Online AccessGet full text
ISSN1007-1172
1995-8188
DOI10.1007/s12204-012-1262-4

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Summary:A method of three-dimensional limited slope stability analysis is presented here based on the upper- bound theorem of the limit analysis approach. A rotating collapse mechanism is considered in which energy dissipation takes place along curve velocity discontinuities. In the frictional soils, the failure surface has the shape of logarithm helicoids, with track outline defined by log-spirals. In the cohesive soils, the shape of the failure surface is torus. Angle is considered at slope top, and the critical height is less than top with no inclination. Numerical results of the proposed algorithm are presented in the form of nondimensional graphs. Some examples illustrate the practical use of the results.
Bibliography:stability, landslides, limit analysis, slope
31-1943/U
XIA Xiao-he, HAN Chang-yu , WANG Jian-hua （Department of Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China）
A method of three-dimensional limited slope stability analysis is presented here based on the upper- bound theorem of the limit analysis approach. A rotating collapse mechanism is considered in which energy dissipation takes place along curve velocity discontinuities. In the frictional soils, the failure surface has the shape of logarithm helicoids, with track outline defined by log-spirals. In the cohesive soils, the shape of the failure surface is torus. Angle is considered at slope top, and the critical height is less than top with no inclination. Numerical results of the proposed algorithm are presented in the form of nondimensional graphs. Some examples illustrate the practical use of the results.
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ISSN:1007-1172
1995-8188
DOI:10.1007/s12204-012-1262-4