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http://dx.doi.org/10.7474/TUS.2022.32.5.312

Application of Slip-line Method to the Evaluation of Plastic Zone around a Circular Tunnel  

Lee, Youn-Kyou (Department of Coastal Construction Engineering, Kunsan National University)
Publication Information
Tunnel and Underground Space / v.32, no.5, 2022 , pp. 312-326 More about this Journal
Abstract
The generalized Hoek-Brown (GHB) criterion, which is recognized as one of the standard failure conditions for rock mass, is specialized for rock engineering applications and covers a wide range of rock mass conditions. Accordingly, many research efforts have been devoted to the incorporation of this criterion into the stability analysis of rock structures. In this study, the slip-line analysis method, which is a kind of elastoplastic analysis method, is combined with the GHB failure criterion to derive analytical equations that can easily calculate the plastic radius and stress distribution in the vicinity of the circular tunnel. In the process of derivation of related formulas, it is assumed that the behavior of rock mass after failure is perfectly plastic and the in-situ stress condition is hydrostatic. In the formulation, it is revealed that the plastic radius can be calculated analytically using the two respective tangential friction angles corresponding to the stress conditions at tunnel wall and elastic-plastic boundary. It is also shown that the plastic radius and stress distribution calculated using the derived analytical equations coincide with the results of Lee & Pietruszczak's numerical method published in 2008. In the latter part of this paper, the influence of the quality of the rock mass on the size of the plastic zone, the stress distribution, and the change of the tangential friction angle was investigated using the derived analytical equations.
Keywords
Generalized Hoek-Brown criterion; Slip-line; Plastic radius; Tangential friction angle; Circular tunnel;
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