Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2017, Article ID 9523267, 10 pages
https://doi.org/10.1155/2017/9523267
Research Article

Plastic Zone Analysis of Deep-Buried, Noncircular Tunnel and Application on the High-Speed Railway in the Karst Area

1School of Civil Engineering, Beijing Jiaotong University, Beijing, China
2Beijing Key Laboratory of Track Engineering, Beijing, China

Correspondence should be addressed to Hai Shi; moc.qq@665915615

Received 16 January 2017; Revised 26 March 2017; Accepted 11 April 2017; Published 13 August 2017

Academic Editor: Francesco Marotti de Sciarra

Copyright © 2017 Hai Shi and Mingzhou Bai. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. Kastner, Tunnel and Tunnel Statics, Shanghai Science and Technology Press, 1980, Translated by Tongji University.
  2. G. D. Donald and F. M. Samir, “Linear source in a circular tunnel,” IEEE Transactions on Antennas and Propagation, vol. 54, no. 7, pp. 2034–2047, 1980. View at Publisher · View at Google Scholar · View at Scopus
  3. X. F. Yu and Y. R. Zheng, Rock stability analysis of underground engineering, Beijing Coal Industry Press, 1980.
  4. J. H. Wang, J. B. Zhong, and Z. J. Chen, Rock and Soil Mechanics, vol. 21, no. 3, pp. 201–204, 2009.
  5. Y. Pan and Z.-Q. Wang, “Elasto-plastic analysis on surrounding rock of circular chamber based on strain nonlinear engineering,” Journal of Rock Mechanics and Engineering, vol. 24, no. 6, pp. 915–920, 2009. View at Google Scholar · View at Scopus
  6. B. Behnam, S. Fazlollah, and M. Hamid, “Prediction of plastic zone size around circular tunnels in non-hydrostatic stress field,” International Journal of Mining Science and Technology, vol. 24, no. 1, pp. 81–85, 2014. View at Publisher · View at Google Scholar · View at Scopus
  7. L.-W. Chen, J.-B. Peng, W. Fan, and P. Sun, “Analysis of surrounding rock mass plastic zone of round tunnel under non-uniform stress field based on the unified strength theory,” Journal of China Coal Society, vol. 32, no. 1, pp. 20–23, 2007. View at Google Scholar · View at Scopus
  8. J. S. Sun and W. B. Lu, “Analytical elastic-plastic solutions to supporting rock masses of circular tunnels under asymmetric load,” Rock and Soil Mechanics, vol. 20 Supplement, pp. 327–332, 2007. View at Google Scholar
  9. G. E. Exadaktylos, P. A. Liolios, and M. C. Stavropoulou, “A semi-analytical elastic stress-displacement solution for notched circular openings in rocks,” International Journal of Solids and Structures, vol. 40, no. 5, pp. 1165–1187, 2003. View at Publisher · View at Google Scholar · View at Scopus
  10. X. R. Liu, M. Huang, and W. H. Zhu, “The radius of the plastic zone of deep circular tunnel under a supporting anchor,” Journal of Chongqing University, pp. 573–576, 2008. View at Google Scholar
  11. A. Verruijt, “A complex variable solution for a deforming circular tunnel in an elastic half-plane,” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 21, no. 2, pp. 77–89, 1997. View at Publisher · View at Google Scholar · View at Scopus
  12. E. H. Zha, X. Z. Hua, and D. H. Chen, “Quantitative analysis of plastic region in deep buried tunnel based on in-situ stress test,” Journal of Experimental Mechanics, vol. 28, no. 5, pp. 657–666, 2013. View at Google Scholar
  13. S. A. Massinas and M. G. Sakellariou, “Closed-form solution for plastic zone formation around a circular tunnel in half-space obeying Mohr-Coulomb criterion,” Geotechnique, vol. 59, no. 8, pp. 691–701, 2009. View at Publisher · View at Google Scholar · View at Scopus
  14. F. Chen, D. Zhang, and S. Zhang, “Solving the mapping function of noncircular underground cavern with the method of successive approximation,” China Railway Science, vol. 34, no. 2, pp. 80–86, 2013. View at Publisher · View at Google Scholar · View at Scopus
  15. Z. Gao, X. Meng, and G. Wang, “Analysis of the plastic zone of surrounding rock under seepage and a non-axisymmetric load,” Modern Tunnelling Technology, vol. 52, no. 2, pp. 70–75, 2014. View at Google Scholar · View at Scopus
  16. A. R. Kargar, R. Rahmannejad, and M. A. Hajabasi, “A semi-analytical elastic solution for stress field of lined non-circular tunnels at great depth using complex variable method,” International Journal of Solids and Structures, vol. 51, no. 6, pp. 1475–1482, 2014. View at Publisher · View at Google Scholar · View at Scopus
  17. C. Q. Liu and H. J. Peng, “Analysis of the safe distance between a tunnel face and karst cave,” Modern Tunneling Technology, vol. 49, no. 3, pp. 109–113, 2012. View at Google Scholar
  18. Y. L. Zhao, Q. H. Wu, and W. J. Wang, “Strength reduction method to study stability of goaf overlapping roof based on catastrophe theory,” Chinese Journal of Rock Mechanics and Engineering, vol. 29, no. 7, pp. 1424–1434, 2010. View at Google Scholar · View at Scopus
  19. J. Q. Guo and C. S. Qiao, “Plastic zone around elliptical hole portal and its application in karst tunnel,” China Railway Science, vol. 35, no. 3, pp. 108–113, 2013. View at Publisher · View at Google Scholar · View at Scopus
  20. N. I. Muskhelishvili and J. R. M. Radok, Some basic problems of the mathematical theory of elasticity, Cambridge University Press, Cambridge, UK, 1953. View at MathSciNet
  21. Y. Z. Shi and X. N. Gao, “Complex variable function solution of stress and displacement of surrounding rock buried deep horseshoe-shaped tunnel excavation,” Journal of Civil, Architectural and Environmental Engineering, vol. 36, no. 1, pp. 101–105, 2014. View at Publisher · View at Google Scholar · View at Scopus
  22. A. Z. Lv and L. Q. Zhang, Underground tunnel complex variable method of mechanical Analysis, Science press, 2007.
  23. E. Hoek and Z. T. Bieniawski, “Brittle fracture propagation in rock under compression,” International Journal of Fracture Mechanics, vol. 26, no. 4, pp. 276–294, 1984. View at Publisher · View at Google Scholar · View at Scopus