(State Key Laboratory of Geomechanics and Geotechnical Engineering，Institute of Rock and Soil Mechanics，
Chinese Academy of Sciences，Wuhan，Hubei 430071，China)
Abstract：The excavation and supporting of a deep circular tunnel is a complex mechanical process related to time. To describe this process，the surrounding rock of the tunnel is supposed to a viscoelastoplastic combination model of a Burgers body and Drucker-Prager criterion. At the instant time that the excavation and supporting were finished，the surrounding rock of the tunnel performs as a elastoplastic material. Under this condition，the influence of intermediate principal stress was considered，and the stress field under the combined action of the primary rock stress and supporting force could be obtained. With the assumption of constant stress field，the surrounding rock exhibits creep properties of time-dependence. Furthermore，the analytical solution to the creep displacement of the surrounding rock was deduced considering shear dilatancy for the deep-buried circular tunnel. A practical engineering instance was given and the regularities that the supporting force and dilation angle of the surrounding rock affect the creep displacement in deep circular tunnel were analyzed. The results show that the change of dilation angle could produce significant influence on the creep displacement，while the supporting force could not completely control the sustained increase of displacement of the surrounding rock with time in the deep circular tunnel.
[1] 于学馥，郑颖人，刘怀恒，等. 地下工程围岩稳定分析[M]. 北京：煤炭工业出版社，1983：136–142.(YU Xuefu，ZHENG Yingren，LIU Huaiheng，et al. Stability analysis of the surrounding rock mass in underground engineering[M]. Beijing：China Coal Industry Publishing House，1983：136–142.(in Chinese))
[2] 俞茂宏，杨松岩，刘春阳，等. 统一平面应变滑移线场理论[J]. 土木工程学报，1997，30(2)：14–26.(YU Maohong，YANG Songyan，LIU Chunyang，et al. Unified plane-strain slip line field theory system[J]. China Civil Engineering Journal，1997，30(2)：14–26.(in Chinese))
[3] 徐拴强，俞茂宏. 考虑中间主应力效应的隧洞岩石抗力系数的计算[J]. 岩石力学与工程学报，2004，23(增1)：4 303–4 305.(XU Shuangqiang，YU Maohong. Calculation of rock resistant factor in tunnel considering intermediate principal stress effect[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(Supp.1)：4 303–4 305.(in Chinese))
[4] ZHOU X P，YANG H Q，ZHANG Y X，et al. The effect of the intermediate principal stress on the ultimate bearing capacity of a foundation on rock mass[J]. Computers and Geotechnics，2009，36(5)：861–870.
[5] 蔡晓鸿，蔡勇斌，蔡勇平，等. 考虑中间主应力影响的压力隧洞围岩抗力系数通用计算式[J]. 岩土工程学报，2007，29(7)：1 004–1 008. (CAI Xiaohong，CAI Yongbin，CAI Yongping，et al. Calculation of resistance coefficient of adjoining rock for pressure tunnels considering effect of intermediate principal stress[J]. Chinese Journal of Geotechnical Engineering，2007，29(7)：1 004–1 008.(in Chinese))
[6] STERPI D，GIODA G. Visco-plastic behaviour around advancing tunnels in squeezing rock[J]. Rock Mechanics and Rock Engineering，2009，42(2)：319–339.
[7] DEBERNARDI D，BARLA G. New viscoplastic model for design analysis of tunnels in squeezing conditions[J]. Rock Mechanics and Rock Engineering，2009，42(2)：259–288.
[8] FAHIMIFAR A，TEHRANI F M，HEDAYAt A，et. al. Analytical solution for the excavation of circular tunnels in a visco-elastic Burger?s material under hydrostatic stress field[J]. Tunnelling and Underground Space Technology，2010，25(4)：297–304.
[9] NOMIKOS P，RAHMANNEJAD R，SOFIANOS A. Supported axisymmetric tunnels within linear viscoelastic Burgers rocks[J]. Rock Mechanics and Rock Engineering，2011，44(5)：553–564.
[10] 张良辉，熊厚金，张 清. 隧道围岩位移的弹塑黏性解析解[J]. 岩土工程学报，1997，19(4)：66–72.(ZHANG Lianghui，XIONG Houjin，ZHANG Qing. Analytical solution for displacements of elasto-viscoplatic ground around tunnel[J]. Chinese Journal of Geotechnical Engineering，1997，19(4)：66–72.(in Chinese))
[11] 刘保国，杜学东. 圆形洞室围岩与结构相互作用的黏弹新性解析[J]. 岩石力学与工程学报，2004，23(4)：561–564.(LIU Baoguo，DU Xuedong. Visco-elastical analysis on interaction between supporting structure and surrounding rocks of circle tunnel[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(4)：561–564.(in Chinese))
[12] 颜海春，王在晖，戚承志. 深部隧道围岩的流变[J]. 解放军理工大学学报，2006，7(5)：450–453.(YAN Haichun，WANG Zaihui，QI Chengzhi. Rheology of rock around deep tunnel[J]. Journal of PLA University of Science and Technology，2006，7(5)：450–453.(in Chinese))
[13] 卢爱红，茅献彪，彭维红. 软岩巷道的弹–黏塑性分析[J]. 采矿与安全工程学报，2008，25(3)：313–317.(LU Aihong，MAO Xianbiao，PENG Weihong. Elasto-viscoplasticity analysis of soft rock tunnel[J]. Journal of Mining and Safety Engineering，2008，25(3)：313–317.(in Chinese))
[14] 章根德，何 鲜，朱维耀. 岩石介质流变学[M]. 北京：科学出版社，1999：305–315.(ZHANG Gende，HE Xian，ZHU Weiyao. Rheology of rock medium[M]. Beijing：Science Press，1999：305–315.(in Chinese))
[15] 田洪铭，陈卫忠，谭贤君，等. 高地应力软岩隧道合理支护方案研究[J]. 岩石力学与工程学报，2011，30(11)：2 285–2 292.(TIAN Hongming，CHEN Weizhong，TAN Xianjun，et. al. Study of reasonable support scheme for soft rock tunnel in high geostress zone[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(11)：2 285–2 292.(in Chinese))
[16] 陈炳瑞，冯夏庭. 黏弹塑性普适组合模型及其工程应用[J]. 岩石力学与工程学报，2008，27(5)：1 028–1 035.(CHEN Bingrui，FENG Xiating. Universal viscoelastoplastic combination model and its engineering applications[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(5)：1 028–1 035.(in Chinese))
[17] 王芝银，李云鹏. 岩体流变理论及其数值模拟[M]. 北京：科学出版社，2008：21–23.(WANG Zhiyin，LI Yunpeng. Rheology of rock mass and its numerical simulation[M]. Beijing：Science Press，2008：21–23.(in Chinese))
[18] 邓楚键，郑颖人，王 凯，等. 有关岩土材料剪胀的讨论[J]. 岩土工程学报，2009，31(7)：1 110–1 114.(DENG Chujian，ZHENG Yingren，WANG Kai，et al. Some discussion on the dilatancy of geotechnical matericals[J]. Chinese Journal of Geotechnical Engineering，2009，31(7)：1 110–1 114.(in Chinese))
[19] 张学言，闫澍旺. 岩土塑性力学基础[M]. 2版. 天津：天津大学出版社，2006：104.(ZHANG Xueyan，YAN Shuwang. Fundamentals of geotechnics plasticity[M]. 2nd ed. Tianjin：Tianjin University Press，2006：104.(in Chinese))
2012, Vol. 31 
