Three-dimensional stability analysis of a longitudinally inclined shallow tunnel face |
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| Institution: | 1. School of Civil Engineering, Central South University, Changsha, Hunan 410075, China;2. Key Laboratory of Heavy-Haul Railway Engineering Structure, Ministry of Education, Central South University, Changsha, Hunan 410075, China;3. School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang, Jiangxi 330013, China;1. School of Civil Engineering, Central South University, Changsha, Hunan 410075, PR China;2. Key Laboratory of Heavy-haul Railway Engineering Structure, Ministry of Education, Central South University, Changsha, Hunan 410075, PR China;3. School of Mathematics and Statistics, Central South University, Changsha, Hunan 410075, PR China;4. Guizhou Zhongjiao Tonghuai Expressway Co., Ltd., Tongren, Guizhou 554300, PR China;5. CCCC Second Highway Engineering Co., Ltd., Xian, Shanxi 710000, PR China;1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, China;2. Tianjin Port Engineering Institute Co., Ltd. of CCCC First Harbor Engineering Co., Ltd., Tianjin 300222, China;3. Key Laboratory of Port Geotechnical Engineering, Ministry of Communications, PRC, Tianjin 300222, China;4. Nantong City Construction Group Co., Ltd., Nantong 226000, China;1. School of Resources and Civil Engineering, Northeastern University, Shenyang 110819, China;2. Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Guangdong Key Laboratory of Oceanic Civil Engineering, Guangdong Research Center for Underground Space Exploitation Technology, School of Civil Engineering, Sun Yat-sen University, Guangzhou 510275, China;3. School of Urban Rail Transportation, Soochow University, Suzhou 215131, China;4. School of Civil Engineering, University of Science and Technology Liaoning, Anshan 114051, China;5. Guangdong Environmental Engineering & Equipment Co., Ltd, Guangzhou 510030, China;1. School of Civil Engineering, Central South University, Changsha, Hunan 410075, China;2. Key Laboratory of Heavy-Haul Railway Engineering Structure, Ministry of Education, Central South University, Changsha, Hunan 410075, China;3. Faculty of Arts and Science, Kyushu University, Fukuoka 8190395, Japan |
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| Abstract: | The tunnel inclination angle (δ) generally exists in urban and cross-river (sea) tunnels; hence, its effect should be considered in the stability analysis of a tunnel face. However, the influence of this tunnel inclination angle is rarely studied. In this paper, considering the effects of the tunnel inclination angle and the tunneling length (L), the optimal upper-bound solutions of the active and passive failure pressures were obtained using sequential quadratic programming (SQP) based on the upper-bound limit analysis. The effects of the dimensionless parameters on the pressures and failure modes were investigated. The results show that the tunnel inclination angle δ and the dimensionless parameter L/D (D is the section diameter of the tunnel) significantly affect active and passive stabilities. The difference in the results between δ = ?10° and δ = 10° is mostly greater than 10% and reaches 80% when the internal friction angle (φ) is large. When the value of δ is zero, L/D does not affect on the result. The maximum difference in the results between L/D = 0 and L/D = 5 are 92.5% (passive failure) and 36.3% (active failure). For the active failure mode, with increasing of φ, the curves, which have δ values of ?10°, 0° and 10°, intersect at a particular point when φ reaches a specific value. |
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| Keywords: | Tunnel face Tunnel inclination angle Tunneling length Active failure and passive failure Upper-bound limit analysis method |
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