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Upper-bound stability analysis of a plane strain heading in non-homogeneous clay |
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| Affiliation: | 1. Department of Civil Engineering, Indian Institute of Technology, Roorkee 247667, India;2. Department of Civil Engineering, National Institute of Technology, Uttarakhand 246174, India;1. School of Civil Engineering, Central South University, Hunan 410075, China;2. Laboratory 3SR, CNRS UMR 5521, Grenoble Alpes University, Grenoble, France;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. State Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource and Hydropower, Sichuan University, Chengdu, Sichuan 610065, China;2. School of Civil Engineering, Southwest Jiaotong University, Chengdu, China |
| Abstract: | This paper investigates the undrained stability of a plane strain tunnel heading in cohesive soil, whose undrained shear strength is assumed to increase linearly with depth. Upper bound stability solutions for a practical range of parameters of geometries and soil conditions are found using the multi-rigid-block upper bound method. The upper bound solutions obtained from the multi-rigid-block mechanisms significantly improve the classical solutions and have good agreement with those of the finite element limit analysis when C/D is small. An improved simple collapse mechanism which intermix inhomogeneous deforming region and rigid blocks translation together is proposed based on the multi-rigid-block upper-bound analysis. An upper bound analytical solution is then obtained in view of the numerical results of both the multi-rigid-block collapse mechanism and the improved simple collapse mechanism. And it predicts the plane strain heading stability relatively accurate for shallow tunnels. |
| Keywords: | Plane strain heading Non-homogeneous clay Upper bound limit analysis Multi-rigid-block mechanism Logarithmic spiral shear region Analytical solution |
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