非静水压力场中考虑应力释放的圆形隧道黏弹性解

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Abstract Firstly，taking use of the correspondence principle，the viscoelastic solution for the circular tunnel with constant ratio of stress release is obtained，based on the elastic solution of the circular tunnel under non-hydrostatic pressure. Then，the stress is released step by step during construction，and the boundary condition at the intrados will change along with the distance x between excavating face and the studred section. The distance x could be expressed as a function of excavation speed v and time t. so the boundary condition could be expressed as a function of time t and speed v. According to the Stieltjes integrals, the items of ?Fi(t)(i = 1–11) in the solution for constant ratio of stress release are replaced with the integrals of Fi(t) with respect to d?(t). The solution for the circular tunnel under non-hydrostatic pressure considering the ratio of stress release could be obtained. When the ratio of horizontal pressure coefficients k0 = 1，the solution could be transformed into the viscoelastic solution for the circular tunnel under hydrostatic pressure considering the ratio of stress release. When the ratio of stress release ? = 1，the solution will be transformed into the viscoelastic solution for the circular tunnel under non-hydrostatic pressure without considering the ratio of stress release. So the latter two solutions are special cases of the solution in the paper. The non-hydrostatic pressure assumption accords with the engineering practice，and the ratio of stress release indicates the effects of construction procedure on the stress and deformation of rock. The results could be a reference for the design and construction of tunnels.

Key words： tunnelling engineering non-hydrostatic pressure stress release viscoelastic solution Stieltjes integrals lateral pressure coefficient

Received: 17 August 2012

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[1] 杨挺青. 黏弹塑性本构理论及其应用[J]. 力学进展，1992，22(1)：10–19.(YANG Tingqing. The constitutive theories of elastic-visco- plasticity and their applications[J]. Advances in Mechanics，1992，22(1)：10–19.(in Chinese) [2] LEE E H. Stress analysis for linear viscoelastic materials[J]. Rheolgoica Acta，1961，2(4/6)：426–430. [3] GNIRK P F，JOHNSON R E. the deformational behavior of a circular mine shaft situated in a viscoelastic medium under hydrostatic stress[C]// Proceedings of The 6th U.S. Symposium on Rock Mechanics(USRMS). [S.l.]：[s.n.]，1964：231–259. [4] PANET M, GUELLEC P，Contribution au probeléme de l’étude de soutènement d’un tunnel derrière le front de taille[C]// Proceedings of the 3rd International Congress of Rock Mechanics，Washington：D.C. National Science，1974：625–638. [5] PANET M. Time-dependent deformations in underground works[C]// Proceedings of the 4th International Congress on Rock Mechanics- Montreux. [S.l.]：[s.n.]，1979：279–289. [6] SULEM J，PANET M，GUENOT A. An analytical solution for time-dependent displacements in a circular tunnel[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1987，24(3)：155–164. [7] 杨小礼，刘宝琛. 根据非线性屈服准则计算隧道黏弹塑性位移[J]. 有色金属，2001，53(3)：52–55.(YANG Xiaoli，LIU Baochen. Relation of nonlinear Mohr-Coulomb yield criterion to tunnel displacement in elasto-viscoplastic rock[J]. Nonferrous Metals，2001，53(3)：52–55.(in Chinese) [8] 张良辉，熊厚金，张清. 隧道围岩位移的弹黏塑性解析解[J]. 岩土工程学报，1997，19(4)：66–72.(ZHANG Lianghui，XIONG Houjin，ZHANG Qing. Analytical solution for displacements of elasto-viscoplastic ground around tunnel[J]. Chinese Journal of Geotechnical Engineering，1997，19(4)：66–72.(in Chinese) [9] GURTIN M E，STERNBERG E. On the linear theory of viscoelasticity[J]. Arvhive for Rational Mechanics and Analysis，1962，11(1)：291–356. [10] GRAHAM G A C. The solution of mixed boundary value problems that involve time-dependent boundary regions for viscoelastic materials with one relaxation function[J]. Atca Mechanica，1969，8(3/4)：188–204. [11] GRAHAM G A C. The correspondence principle of linear viscoelasticity theory for mixed boundary value problems involving time-dependent boundary regions[J]. International Journal of Engineering Science，1973，11(1)：123–140. [12] PAN Y W，DONG J J. Time-dependent tunnel convergence-i formulation of the model[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1991，28(6)：469–475. [13] 于学馥，郑颖人，刘怀恒，等．地下工程围岩稳定性分析[M]. 北京：煤炭工业出版社，1983：79–90.(YU Xuefu，ZHENG Yingren，LIU Huaiheng，et al. Analysis on stability of surrounding rock of underground structure[M]. Beijing：China Coal Industry Publishing Housing，1983：79–90.(in Chinese) [14] GOODMAN R. Introduction to rock mechanics[M]. 2nd ed. New York：John Wiley and Sons，1989：225–230. [15] PANET M，GUENOT A. Analysis of convergence behind the face of a tunnel[C]// International Symposium “Tunnelling 82”. Brighton：[s.n.]，1982：197–204. [16] Association Française des Tunnels et de l'Espace Souterrain (A.F.T.E.S). Recommendations on the convergence-confinement method[S]. Paris：A.F.T.E.S，2001. [17] ORESTE P. The convergence-confinement method roles and limits in modern geomechanical tunnel design[J]. American Journal of Applied Science，2009，6(4)：757–771. [18] SAKURAI S. Approximate time-dependent analysis of tunnel support structure considering progress of tunnel face[J]. International Journal for Numerical and Analytical Methods in Geomechanics，1978，2(2)：159–175. [19] 周德培. 流变力学原理及其在岩土工程中的应用[M]. 成都：西南交通大学出版社，1995：164–171.(ZHOU Depei. Principles of rehology and its applications in the geotechnical engineering[M]. Chengdu：Southwest Jiaotong University Press，1995：164–171.(in Chinese)