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Open AccessArticle

The Stability Analysis Method of the Cohesive Granular Slope on the Basis of Graph Theory

1
State Key Laboratory of Hydro Science and Engineering, Tsinghua University, 100084 Beijing, China
2
Institute of Geology and Geophysics of the Chinese Academy of Sciences, Beijing 100029, China
*
Author to whom correspondence should be addressed.
Academic Editor: Sinisa Dj. Mesarovic
Materials 2017, 10(3), 240; https://doi.org/10.3390/ma10030240
Received: 25 November 2016 / Accepted: 17 February 2017 / Published: 27 February 2017
(This article belongs to the Special Issue Granular Materials)
This paper attempted to provide a method to calculate progressive failure of the cohesivefrictional granular geomaterial and the spatial distribution of the stability of the cohesive granular slope. The methodology can be divided into two parts: the characterization method of macro-contact and the analysis of the slope stability. Based on the graph theory, the vertexes, the edges and the edge sequences are abstracted out to characterize the voids, the particle contact and the macro-contact, respectively, bridging the gap between the mesoscopic and macro scales of granular materials. This paper adopts this characterization method to extract a graph from a granular slope and characterize the macro sliding surface, then the weighted graph is analyzed to calculate the slope safety factor. Each edge has three weights representing the sliding moment, the anti-sliding moment and the braking index of contact-bond, respectively, . The safety factor of the slope is calculated by presupposing a certain number of sliding routes and reducing Weight repeatedly and counting the mesoscopic failure of the edge. It is a kind of slope analysis method from mesoscopic perspective so it can present more detail of the mesoscopic property of the granular slope. In the respect of macro scale, the spatial distribution of the stability of the granular slope is in agreement with the theoretical solution. View Full-Text
Keywords: stability analysis; progressive failure; slope stability; DEM (discrete element method); particle; macro-contact stability analysis; progressive failure; slope stability; DEM (discrete element method); particle; macro-contact
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Guan, Y.; Liu, X.; Wang, E.; Wang, S. The Stability Analysis Method of the Cohesive Granular Slope on the Basis of Graph Theory. Materials 2017, 10, 240.

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