Theoretical solutions for a circular opening in an elastic–brittle–plastic rock mass incorporating the out-of-plane stress and seepage force
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- 作者：Jin-feng Zou ; Shuai-shuai Li ; Yuan Xu ; Han-cheng Dan…
- 关键词：out ; of ; plane stress ; seepage force ; elastic ; brittle ; plastic model ; elastic ; plastic model ; circular tunnel
- 刊名：KSCE Journal of Civil Engineering
- 出版年：2016
- 出版时间：March 2016
- 年：2016
- 卷：20
- 期：2
- 页码：687-701
- 全文大小：688 KB
- 参考文献：Ahamad, F. and Mohammad, R. Z. (2009). “A theoretical solution for analysis of tunnels below groundwater considering the hydraulic–mechanical coupling.” Tunnelling and Underground Space Technology, vol. 24, no. 6, pp. 634–646, DOI: 10.1016/j.tust.2009.06.002 .CrossRef
Bear, J. (1988). Dynamics of fluids in porous media, Dover Publications Inc., New York, pp. 222–235.MATH
Brown, E. T., Bray, J. W., Ladanyi, B., and Hoek, E. (1983). “Ground Response Curves for Rock Tunnels.” Journal of Geotechnical Engineer, vol. 109, no. 1, pp. 15–39.CrossRef
Carranza-Torres, C. (2003). “Dimensionless graphical representation of the exact elasto-plastic solution of a circular tunnel in a mohr-coulomb material subject to uniform far-field stresses.” Rock Mechanics and Rock Engineering, vol. 36, no. 3, pp. 237–253.
Carranza-Torres, C. (2004). “Elasto-plastic solution of tunnel problems using the generalized form of the hoek
own failure criterion.” International Journal of Rock Mechanics and Mining Science, vol. 41, no. 3, pp. 480–481, DOI: 10.1016/j.ijrmms.2003.12.014 .CrossRef
Carranza-Torres, C. and Fairhurst, C. (1999). “The elasto-plastic response of underground excavations in rock masses that satisfy the hoekbrown failure criterion.” International Journal of Rock Mechanics and Mining Science, vol. 36, no. 6, pp. 777–809, PII: S0148-9062(99)00047-9.CrossRef
Lee, S. W., Jung, J. W., Nam, S. W., and Lee, I. M. (2006). “The influence of seepage forces on ground reaction curve of circular opening.” Tunnelling and Underground Space Technology, vol. 22, no. 1, pp. 28–38, DOI: 10.1016/j.tust.2006.03.004 .CrossRef
Lee, Y. K. and Pietruszczak, S. (2008). “A new numerical procedure for elasto-plastic analysis of a circular opening excavated in a strainsoftening rock mass.” Tunnelling and Underground Space Technology, vol. 23, no. 5, pp. 588–599, DOI: 10.1016/j.tust.2007.11.002 .CrossRef
Li, Z. L., Ren, Q.W., and Wang, Y. H. (2004). “Elasto-plastic analytical solution of deep-buried circle tunnel considering fluid flow field.” Chinese Journal of Rock Mechanics and Engineering, Vol. 23, No.8, pp. 1291–1295 (in Chinese).
Lu, A. Z., Xu, G. S., Sun, F., and Sun, W. Q. (2010). “Elasto-plastic analysis of a circular tunnel including the effects of the axial in situ stress.” International Journal of Rock Mechanics & Mining Sciences, vol. 47, no. 1, pp. 50–59, DOI: 10.1016/j.ijrmms.2009.07.003 .CrossRef
Nam, S. W. and Bobet, A. (2006). “Lining stresses in deep tunnels below the water table.” Tunneling and Underground Space Technology, vol. 21, no. 6, pp. 626–635, DOI: 10.1016/j.tust.2005.11.004 .CrossRef
Pan, X. D. and Brown, E. T. (1991). “Influence of axial stress and dilatancy on rock tunnel stability.” Journal of Geotechnical Engineering, vol. 122, no. 2, pp. 139–146.CrossRef
Park, K. H. and Kim, Y. J. (2006). “Analytical solution for a circular opening in an elastic
ittle-plastic rock.” International Journal of Rock Mechanics and Mining Science, vol. 43, no. 4, pp. 616–622, DOI: 10.1016/j.ijrmms.2005.11.004 .CrossRef
Reed, M. B. (1988). “The influence of out-of-plane stress on a plane strain problem in rock mechanics.” International Journal for Numerical Analytical Methods in Geomechanics, vol. 12, no. 3, pp. 173–181.CrossRef MATH
Sharan, S. K. (2003). “Elastic
ittle-plastic analysis of circular openings in hoek
own media.” International Journal of Rock Mechanics and Mining Science, vol. 40, no. 6, pp. 817–824, DOI: 10.1016/S1365-1609(03)00040-6 .CrossRef
Sharan, S. K. (2005). “Exact and approximate solutions for displacements around circular openings in elastic
ittle-plastic hoek
own rock.” International Journal of Rock Mechanics and Mining Science, vol. 42, no. 4, pp. 542–549, DOI: 10.1016/j.ijrmms.2005.03.019 .CrossRef
Sharan, S. K. (2008). “Analytical Solutions for stresses and displacements around a circular opening in generalized hoek
own rock.” International Journal of Rock Mechanics and Mining Science, vol. 45, no. 1, pp. 78–85, DOI: 10.1016/j.ijrmms.2007.03.002 .CrossRef MathSciNet
Wang, S. L., Wu, Z. J., Guo, M. W., and Ge, X. R. (2012). “Theoretical solutions of a circular tunnel with the influence of axial in situ stress in elastic
ittle-plastic rock.” Tunnelling Underground Space Technol., vol. 30, no. 7, pp. 155–168, DOI: 10.1016/j.tust.2012.02.016 .CrossRef
Wang, Y. (1994). “The Effect of a nonlinear mohr-coulomb criterion on borehole stresses and damage-zone estimate.” Canadian Geotechnique Journal, vol. 31, no. 1, pp. 104–109.CrossRef
Wang, Y. (1996). “Ground response of circular tunnel in poorly consolidated rock.” Journal of Geotechnical Engineer, vol. 122, no. 9, pp. 703–708.CrossRef
Zhou, X. P. and Li, J. L. (2011). “Hoek-Brown criterion applied to circular tunnel using elasto-plasticity and in situ axial stress.” Theoretical and Applied Fracture Mechanics, vol. 56, no. 1, pp. 92–103, DOI: 10.1016/j.tafmec.2011.10.005 .CrossRef - 作者单位：Jin-feng Zou (1)
Shuai-shuai Li (1)
Yuan Xu (1)
Han-cheng Dan (1)
Lian-heng Zhao (1)
1. School of Civil Engineering, Central South University, Changsha, Hunan, 410075, China - 刊物类别：Engineering
- 刊物主题：Civil Engineering
Industrial Pollution Prevention
Automotive and Aerospace Engineering and Traffic
Geotechnical Engineering - 出版者：Korean Society of Civil Engineers
- ISSN：1976-3808
文摘
Seepage force is simplified as seepage volumetric force in the stress field along the radial direction. Out-of-plane stress and seepage force are incorporated, and the theoretical solutions for stress, displacement, and plastic radius of a circular opening for the elastic-brittle-plastic and elastic-plastic rock mass are proposed based on the Mohr–Coulomb (MC) and generalized Hoek-Brown (HB) failure criteria. The presented solution and Wang’s solution (2012) are compared, and the corrected version of the proposed method is validated. Numerical examples of the proposed method based on the MC and generalized HB failure criteria reveal that the distributions of stress and displacement in the surrounding rock of the tunnel are significantly influenced by seepage force and out-ofplane stress. Displacement and plastic radius when seepage force and out-of-plane stress are considered are larger than those when the seepage force is not considered; the regulations of stress, however, run opposite. The results of displacement and plastic radius based on the generalized HB failure criterion are larger than those based on the MC failure criterion. Keywords out-of-plane stress seepage force elastic-brittle-plastic model elastic-plastic model circular tunnel