非均匀应力场下圆形隧道围岩塑性区研究Study on surrounding rock plastic zone of circular tunnel under non-uniform stress field
王中明,朱月健,李楷兵
摘要(Abstract):
为研究支护结构对非均匀应力场下圆形隧道的力学特性尤其是围岩塑性区的影响,采用理论分析的方法对已有模型仅能单独考虑原位非均匀应力场或支护结构对隧道围岩塑性区影响的不足展开研究,提出了一种考虑实际施工过程的非均匀应力场下圆形隧道围岩塑性区计算新方法,该方法能够很好地考虑围岩与支护结构的相互作用机理。利用该方法重点研究了隧道围岩初始位移及支护结构刚度对隧道围岩塑性区的影响,结果表明:(1)随着围岩初始位移的增加,围岩塑性区将呈现非线性增加,而当其增加到一定程度时,围岩塑性区增加幅度将十分显著;(2)随着支护结构刚度的增加,围岩塑性区将逐渐减小,但其减小幅度不是很大。因此在实际工程中,应选用合适的支护结构刚度以达到安全和经济的目的。
关键词(KeyWords): 非均匀应力场;圆形隧道;围岩塑性区;围岩-支护结构相互作用;支护结构刚度;围岩初始径向弹性位移
基金项目(Foundation): 国家重点研发计划(2019YFC1509701)
作者(Author): 王中明,朱月健,李楷兵
DOI: 10.13928/j.cnki.wrahe.2020.11.024
参考文献(References):
- [1] KOMURLU E,KESIMAL A,HASANPOUR R.In situ horizontal stress effect on plastic zone around circular underground openings excavated in elastic zones[J].Geomechanics and Engineering,2015,8(6):783- 799.
- [2] Wang Shuilin,Wu Zhenjun,Guo Mingwei,et al.Theoretical solutions of a circular tunnel with the influence of axial in situ stress in elastic-brittle-plastic rock[J].Tunnelling and Underground Space Technology,2012,30:155- 168.
- [3] 曹瑞琅,段庆伟,赵宇飞,等.基于Hoek-Brown准则西原模型的圆形隧洞黏弹性解[J].水利水电技术,2017,48(4):64- 70.
- [4] KASTNER H.Static des Tunnel-und Stollenbaues[M].Berlin:Springer,1971.
- [5] CHENG Y M.Modified kastner formula for cylindrical cavity contraction in mohr-coulomb medium for circular tunnel in isotropic medium[J].Journal of Mechanics,2012,28(1):163- 169.
- [6] KIRSCH G.Die Theorie der elastizitat und die bedurfnisse der festigkeitslehre[J].Zeitchrift Verein Deutsch Ing,1898,42:797-807.
- [7] DETOURNAY E,FAIRHURST C.Two-dimensional elastoplastic analysis of a long,cylindrical cavity under non-hydrostatic loading[J].International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts,1987,24(4):197- 211.
- [8] BELLO-MALDONADO A A.General elasto-plastic theory applied to circular tunnels (K0 not equal 1) [C]// Elsworth D,Tunucci JP,Heasley KA.Rock Mechanics in the National Interest.Washington D C:American Rock Mechanics Association,2001,1119- 1126.
- [9] 鲁宾涅依特K B.矿山岩石力学的几个问题[M].马英芳,译.北京:煤炭工业出版社,1960.
- [10] 陈立伟,彭建兵,范文,等.基于统一强度理论的非均匀应力场圆形隧道围岩塑性区分析[J].煤炭学报,2007,32(1):20- 23.
- [11] SIMANJUNTAK T D Y F,MARENCE M,MYNETT A E,et al.Pressure tunnels in non-uniform in situ stress conditions[J].Tunnelling and Underground Space Technology,2014,42(5):227- 236.
- [12] 侯公羽.围岩-支护作用机制评述及其流变变形机制概念模型的建立与分析[J].岩石力学与工程学报,2008,27(增刊2):3618- 3629.
- [13] PENZIEN J,WU C L.Stresses in linings of bored tunnels[J].Earthquake Engineering and Structural Dynamics,1998,27(3):283-300.
- [14] BOBET A,NAM S W.Stresses around pressure tunnels with semi-permeable liners[J].Rock Mechanics and Rock Engineering,2007,40(3):287-315.
- [15] LYU A Z,ZHANG L Q,ZHANG N.Analytic stress solutions for a circular pressure tunnel at pressure and great depth including support delay[J].International Journal of Rock Mechanics and Mining Sciences,2011,48(3):514- 519.
- [16] WANG M B,LI S C.A complex variable solution for stress and displacement field around a lined circular tunnel at great depth[J].International Journal of Numerical and Analytical Methods in Geomechanics,2009,33(7):939-951.
- [17] KITAGAWA T,KUMETA T,ICHIZYO T,et al.Application of convergence confinement analysis to the study of preceding displacement of a squeezing rock tunnel[J].Rock Mechanics and Rock Engineering,1991,24(1):31- 51.
- [18] DWIVEDI R D,SINGH M,VILADKAR M N,et al.Prediction of tunnel deformation in squeezing grounds[J].Engineering Geology,2013,161(4):55- 64.
- [19] CARRANZA-TORRES C,RYSDAHL B,KASIM M.On the elastic analysis of a circular lined tunnel considering the delayed installation of the support[J].International Journal of Rock Mechanics and Mining Sciences,2013,61(10):57- 85.
- [20] 张承客,李宁,胡海霞.非静水压力下圆形隧洞围岩塑性区分析[J].西北农林科技大学学报(自然科学版),2015,43(4):215- 222.
- [21] 王树理,王树仁,孙世国,等.地下建筑结构设计[M].北京:清华大学出版社,2007.
- [22] TAN C H.Passive bolts reinforcement around a circular opening in strain-softening elastoplastic rock mass[J].International Journal of Rock Mechanics and Mining Sciences,2016,88:221- 234.
- [23] JAEGER J C,COOK N G W,ZIMMERMAN R W.Fundamentals of Rock Mechanics (Fourth Edition)[M].New Jersey:Blackwell publishing,2007.
- [24] 徐秉业,刘信声.应用弹塑性力学[M].北京:清华大学出版社,1995.