Analysis of slope stability with imprecise soil properties using uncertain sets

Zhou, X, Li, J, Liu, Z and Tang, Y 2019, 'Analysis of slope stability with imprecise soil properties using uncertain sets', Mathematical Problems in Engineering, vol. 2019, pp. 1-9.

Document type: Journal Article
Collection: Journal Articles

Title Analysis of slope stability with imprecise soil properties using uncertain sets
Author(s) Zhou, X
Li, J
Liu, Z
Tang, Y
Year 2019
Journal name Mathematical Problems in Engineering
Volume number 2019
Start page 1
End page 9
Total pages 9
Publisher Hindawi
Abstract There are many uncertainties with respect to the assessment of slope stability, and those associated with soil properties should be given particular attention. The uncertainty theory provides an alternative to treat these uncertainties using parochial cognitive sources. A novel methodology is proposed to evaluate the stability of slopes based on an uncertain set. The soil properties involved in the deterministic methods, i.e., shear strength parameters and unit weight, are expressed as uncertain sets, and their membership functions can be assumed to be triangular or trapezoidal for a homogeneous or two-layered slope, respectively. The parameter values of membership functions are designed according to the means and variations of the soil properties, and then the expected safety factor can be calculated through the operational laws. Two numerical examples including a homogeneous slope and a two-layered slope illustrate the suitability of the proposed methodology. The relationship between the variation in the safety factor and the changes in the soil properties is investigated; moreover, the determination of the parameter values of membership is also discussed.
Subject Civil Geotechnical Engineering
Keyword(s) Models
Differential equations
Random variables
DOI - identifier 10.1155/2019/1062347
Copyright notice Copyright © 2019 Xuejun Zhou et al. Open access article distributed under the Creative Commons Attribution License (CC BY 4.0)
ISSN 1024-123X
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