1. School of Civil Engineering, Chang'an University, Xi'an 710061, China; 2. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China)
Abstract：Based on the unified strength theory and a non-associated flow rule , a new analytical solution for ground reaction curve of a deep circular rock tunnel is presented taking into consideration the integrated effects of the intermediate principal stress, rock softening, dilatancy and a small Young’s modulus in the plastic zone. The Vlachopoulos’s formula due to its rationality is adopted to determine the relief ratio of longitudinal deformation of the tunnel . The support pressure differences anticipated from the convergence – confinement analysis between two methods for determining the initial location of support action are discussed. The results show that the influence of the unified strength theory parameter on the ground reaction curve and longitudinal deformation profile of the tunnel is significant. The strength potentials of rock mass are better achieved due to considering the effect of the intermediate principal stress. The effects of Young’s modulus in the plastic zone and dilatancy on the ground reaction curve are important. The differences of support pressure between two methods for determining the initial location of support action are remarkable.
张常光, 赵均海, 张庆贺. 基于统一强度理论的深埋圆形岩石隧道收敛限制分析[J]. 岩土工程学报, 2012, 34(1): 110-114.
ZHANG Chang-guang, ZHAO Jun-hai, ZHANG Qing-he. Convergence - confinement analysis of deep circular rock tunnels based on unified strength theory. Chinese J. Geot. Eng., 2012, 34(1): 110-114.
[1]BROWN E T, BRAY J W, LADANYI B, et al. Ground response curves for rock tunnels[J]. Journal of Geotechnical Engineering, ASCE, 1983, 1091): 15 – 39. [2] WANG Y. Ground response of circular tunnel in poorly consolidated rock[J]. Journal of Geotechnical Engineering, ASCE, 1996, 1229): 703 – 708. [3] CARRANZA–TORRES C, FAIRHURST C. Application of the convergence–confinement method of tunnel design to rock masses that satisfy the Hoek–Brown criterion[J]. Tunnelling and Underground Space Technology, 2000, 152): 187 – 213. [4] SHARAN S K. Analytical solutions for stresses and displacements around a circular opening in a generalized Hoek – Brown rock[J]. International Journal of Rock Mechanics and Mining Sciences, 2008, 451): 78 – 85. [5] PANET M, GUENOT A. Analysis of convergence behind the face of a tunnel [C] // Proceedings of the International Symposium on Tunnelling, IMM, London, 1982: 197 – 204 . [6] BASARIR H, GENIS M, OZARSLAN A. The analysis of radial displacements occurring near the face of a circular opening in weak rock mass[J]. International Journal of Rock Mechanics and Mining Sciences, 2010, 475): 771 – 783. [7] VLACHOPOULOS N, DIEDERICHS M S. Impr oved longitudinal displacement profiles for convergence confinement analysis of deep tunnels[J]. Rock Mechanics and Rock Engineering, 2009, 422): 131 – 146. [8] 俞茂宏 . 岩土类材料的统一强度理论及其应用 [J]. 岩土工程学报 , 1994, 162): 1 – 10.YU Mao-hong. Unified strength theory for geomaterials and its applications[J]. Chinese Journal of Geotechnical Engineering, 1994, 162): 1 – 10.in Chinese)) [9] 蒋明镜 , 沈珠江 . 岩土类软化材料的柱形孔扩张统一解问题 [J]. 岩土力学 , 1996, 171): 1 – 8.JIANG Ming-jing, SHEN Zhu-jiang. Unified solution of expansion of cylindrical cavity for geometries with strain softening behaviour[J]. Rock and Soil Mechanics, 1996, 171): 1 – 8.in Chinese)) [10] RocScience. RocLab[CP]. Rocscience Inc., Toronto, 2002.
