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| Upper Bound Limit Analysis-based Determination of the Influence of a Non-associated Flow Rule on the Stability of Shallow Tunnels |
| ZHAO Lian-heng1, SUN Qiu-hong1,2, HUANG Fu3, ZOU Jin-feng1 |
1. School of Civil and Engineering, Central South University, Changsha Hunan 410075, China;
2. Second Engineering Company, China Railway Twenty-fifth Engineering Group Co., Ltd., Hengyang Hunan 421000, China;
3. School of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha Hunan 410004, China |
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Abstract On the basis of a non-associated flow rule and the upper bound theorem for limit analysis, the expression of surrounding rock pressure on shallow tunnels was derived by constructing a simple failure pattern. Strength reduction technique was applied to study the stability of shallow tunnels under certain levels of surrounding rock pressure; this analysis was based on the internal consumption and external energy conservation principle. The optimized upper bound solutions of surrounding rock pressure and the safety factor for shallow tunnels were obtained by nonlinear optimization methods. Results show that the dilatancy of geomaterials and the lateral pressure coefficient of surrounding rock significantly affect the surrounding rock pressure and stability of shallow tunnels. Furthermore, the lateral pressure coefficient is an important factor in relation to the stability of such tunnels.
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Received: 03 April 2013
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| Fund:Supported by the National Natural Science Foundation of China (No.51078359);the China Postdoctoral Science Foundation (No.20110491269,No.2012T50708);and the Freedom Explore Program of Central South University (No.201012200197) |
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Corresponding Authors:
ZHAO Lian-heng, zlh8076@163.com
E-mail: zlh8076@163.com
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2013, Vol. 7 
