Slip Line Solution for Circular Tunnels Based on the Non-Associated Flow Rule

WANG Yong-fu; WANG Cheng; TANG Xiao-song

doi:10.3879/j.issn.1000-0887.2013.12.007

Volume 34 Issue 12

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WANG Yong-fu, WANG Cheng, TANG Xiao-song. Slip Line Solution for Circular Tunnels Based on the Non-Associated Flow Rule[J]. Applied Mathematics and Mechanics, 2013, 34(12): 1285-1290. doi: 10.3879/j.issn.1000-0887.2013.12.007

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Slip Line Solution for Circular Tunnels Based on the Non-Associated Flow Rule

doi: 10.3879/j.issn.1000-0887.2013.12.007

¹Department of Civil Engineering, Logistic Engineering University of PLA, Chongqing 400041, P.R.China;²Chongqing Engineering and Technology Research Center of Geological Hazard Prevention and Treatment, Chongqing 400041, P.R.China;³School of Civil Engineering and Architecture, Chongqing Jiaotong University, Chongqing 400074, P.R.China

Received Date: 2013-05-27
Publish Date: 2013-12-16

Abstract

Abstract

The slip line equation for circular tunnels had been solved by Soviet scholars in the middle of 20th century, and widely used in China. But the assumption that the angle between the slip line and the velocity vector was 45°-φ/2 in the derivation had been wrong. Theoretically, that angle was related to the flow rule adopted. The plastic slip line equation of circular tunnels and the formula of horizontal fracture depth were derived based on both the associated flow rule and non-associated flow rule. Proved by previous model test, the slip line solution based on the non-associated flow rule is recommended for application.
- circular tunnel,
- associated flow rule,
- non-associated flow rule,
- slip line solution

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References

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