Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2016, Article ID 4820716, 11 pages
http://dx.doi.org/10.1155/2016/4820716
Research Article

Functional Catastrophe Analysis of Collapse Mechanism for Shallow Tunnels with Considering Settlement

School of Civil Engineering, Central South University, Hunan 410075, China

Received 26 March 2016; Accepted 4 July 2016

Academic Editor: Oleg V. Gendelman

Copyright © 2016 Rui Zhang et al. 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. M. Fraldi and F. Guarracino, “Limit analysis of progressive tunnel failure of tunnels in Hoek-Brown rock masses,” International Journal of Rock Mechanics and Mining Sciences, vol. 50, no. 1, pp. 170–173, 2012. View at Publisher · View at Google Scholar · View at Scopus
  2. S. W. Sloan and A. Assadi, “Undrained stability of a square tunnel in a soil whose strength increases linearly with depth,” Computers and Geotechnics, vol. 12, no. 4, pp. 321–346, 1991. View at Publisher · View at Google Scholar · View at Scopus
  3. W. F. Chen, Limit Analysis and Soil Plasticity, Elsevier, Amsterdam, Netherlands, 1975.
  4. E. H. Davis, M. J. Gunn, R. J. Mair, and H. N. Seneviratne, “Stability of shallow tunnels and underground openings in cohesive material,” Geotechnique, vol. 30, no. 4, pp. 397–416, 1980. View at Publisher · View at Google Scholar · View at Scopus
  5. P. Chambon and J.-F. Corté, “Shallow tunnels in cohesionless soil: stability of tunnel face,” Journal of Geotechnical Engineering, vol. 120, no. 7, pp. 1148–1165, 1994. View at Publisher · View at Google Scholar · View at Scopus
  6. X. L. Yang and Z. X. Long, “Seismic and static 3D stability of two-stage rock slope based on Hoek-Brown failure criterion,” Canadian Geotechnical Journal, vol. 53, no. 3, pp. 551–558, 2016. View at Publisher · View at Google Scholar
  7. G. Mollon, D. Dias, and A.-H. Soubra, “Rotational failure mechanisms for the face stability analysis of tunnels driven by a pressurized shield,” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 35, no. 12, pp. 1363–1388, 2011. View at Publisher · View at Google Scholar · View at Scopus
  8. H.-H. Zhu, J.-H. Yin, L. Zhang, W. Jin, and J.-H. Dong, “Monitoring internal displacements of a model dam using FBG sensing bars,” Advances in Structural Engineering, vol. 13, no. 2, pp. 249–261, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. H.-H. Zhu, J.-H. Yin, A. T. Yeung, and W. Jin, “Field pullout testing and performance evaluation of GFRP soil nails,” Journal of Geotechnical and Geoenvironmental Engineering, vol. 137, no. 7, pp. 633–642, 2011. View at Publisher · View at Google Scholar · View at Scopus
  10. X.-L. Yang, “Seismic passive pressures of earth structures by nonlinear optimization,” Archive of Applied Mechanics, vol. 81, no. 9, pp. 1195–1202, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  11. X.-L. Yang and J.-H. Yin, “Slope equivalent mohr-coulomb strength parameters for rock masses satisfying the hoek-brown criterion,” Rock Mechanics and Rock Engineering, vol. 43, no. 4, pp. 505–511, 2010. View at Publisher · View at Google Scholar · View at Scopus
  12. X.-L. Yang, “Seismic bearing capacity of a strip footing on rock slopes,” Canadian Geotechnical Journal, vol. 46, no. 8, pp. 943–954, 2009. View at Publisher · View at Google Scholar · View at Scopus
  13. X.-L. Yang and J.-H. Yin, “Upper bound solution for ultimate bearing capacity with a modified Hoek-Brown failure criterion,” International Journal of Rock Mechanics and Mining Sciences, vol. 42, no. 4, pp. 550–560, 2005. View at Publisher · View at Google Scholar · View at Scopus
  14. X.-L. Yang, L. Li, and J.-H. Yin, “Seismic and static stability analysis for rock slopes by a kinematical approach,” Geotechnique, vol. 54, no. 8, pp. 543–549, 2004. View at Publisher · View at Google Scholar · View at Scopus
  15. X.-L. Yang and J.-H. Yin, “Slope stability analysis with nonlinear failure criterion,” Journal of Engineering Mechanics, vol. 130, no. 3, pp. 267–273, 2004. View at Publisher · View at Google Scholar · View at Scopus
  16. F. Huang, D.-B. Zhang, Z.-B. Sun, and B. Wu, “Influence of pore water pressure on upper bound analysis of collapse shape for square tunnel in Hoek-Brown media,” Journal of Central South University of Technology, vol. 18, no. 2, pp. 530–535, 2011. View at Publisher · View at Google Scholar
  17. F. Huang, D. B. Zhang, Z. B. Sun, and Q. Jin, “Upper bound solutions of stability factor of shallow tunnels in saturated soil based on strength reduction technique,” Journal of Central South University, vol. 19, no. 7, pp. 2008–2015, 2012. View at Publisher · View at Google Scholar
  18. Z. B. Sun and D. B. Zhang, “Back analysis for slope based on measuring inclination data,” Journal of Central South University of Technology, vol. 19, no. 11, pp. 3291–3298, 2012. View at Google Scholar
  19. M. Fraldi and F. Guarracino, “Limit analysis of collapse mechanisms in cavities and tunnels according to the Hoek-Brown failure criterion,” International Journal of Rock Mechanics and Mining Sciences, vol. 46, no. 4, pp. 665–673, 2009. View at Publisher · View at Google Scholar · View at Scopus
  20. X. L. Yang, J. S. Xu, Y. X. Li, and R. M. Yan, “Collapse mechanism of tunnel roof considering joined influences of nonlinearity and non-associated flow rule,” Geomechanics and Engineering, vol. 10, no. 1, pp. 21–35, 2016. View at Publisher · View at Google Scholar · View at Scopus
  21. X. L. Yang, C. Yao, and J. H. Zhang, “Safe retaining pressures for pressurized tunnel face using nonlinear failure criterion and reliability theory,” Journal of Central South University, vol. 23, no. 3, pp. 708–720, 2016. View at Publisher · View at Google Scholar
  22. X. L. Yang and R. M. Yan, “Collapse mechanism for deep tunnel subjected to seepage force in layered soils,” Geomechanics and Engineering, vol. 8, no. 5, pp. 741–756, 2015. View at Publisher · View at Google Scholar · View at Scopus
  23. X. L. Yang and Q. J. Pan, “Three dimensional seismic and static stability of rock slopes,” Geomechanics and Engineering, vol. 8, no. 1, pp. 97–111, 2015. View at Publisher · View at Google Scholar · View at Scopus
  24. X. L. Yang and F. Huang, “Collapse mechanism of shallow tunnel based on nonlinear Hoek-Brown failure criterion,” Tunnelling and Underground Space Technology, vol. 26, no. 6, pp. 686–691, 2011. View at Publisher · View at Google Scholar · View at Scopus
  25. D. Subrin and H. Wong, “Tunnel face stability in frictional material: a new 3D failure mechanism,” Computes Mechanique, vol. 330, no. 7, pp. 513–519, 2012. View at Google Scholar
  26. M. R. Mc Lean and M. A. Addis, “Wellbore stability analysis: a review of current methods of analysis and their field application,” in Proceedings of the IADC/SPE Drilling Conference, Houston, Tex, USA, March 1990.
  27. R. T. Ewy, “Wellbore-stability predictions by use of a modified lade criterion,” SPE Drilling and Completion, vol. 14, no. 2, pp. 85–91, 1999. View at Publisher · View at Google Scholar · View at Scopus
  28. E. Hoek and E. T. Brown, “Practical estimates of rock mass strength,” International Journal of Rock Mechanics and Mining Sciences, vol. 34, no. 8, pp. 1165–1186, 1997. View at Publisher · View at Google Scholar · View at Scopus
  29. R. Baker, “Nonlinear Mohr envelopes based on triaxial data,” Journal of Geotechnical and Geoenvironmental Engineering, vol. 130, no. 5, pp. 498–506, 2004. View at Publisher · View at Google Scholar · View at Scopus
  30. X. L. Yang and J. M. Wang, “Ground movement prediction for tunnels using simplified procedure,” Tunnelling and Underground Space Technology, vol. 26, no. 3, pp. 462–471, 2011. View at Publisher · View at Google Scholar · View at Scopus
  31. A. S. Osman, R. J. Mair, and M. D. Bolton, “On the kinematics of 2D tunnel collapse in undrained clay,” Geotechnique, vol. 56, no. 9, pp. 585–595, 2006. View at Publisher · View at Google Scholar · View at Scopus
  32. A. S. Osman, “Stability of unlined twin tunnels in undrained clay,” Tunnelling and Underground Space Technology, vol. 25, no. 3, pp. 290–296, 2010. View at Publisher · View at Google Scholar · View at Scopus
  33. Y. Pan, Y. Zhang, and G.-M. Yu, “Mechanism and catastrophe theory analysis of circular tunnel rock burst,” Applied Mathematics and Mechanics, vol. 27, no. 6, pp. 841–852, 2006. View at Publisher · View at Google Scholar · View at Scopus
  34. S. Ren, Z. Wang, and D. Y. Jiang, “Study on the catastrophe model of the surrounding rock and simulating the constructing process by DEM in Gonghe tunnel,” in Proceedings of the 3rd International Conference on Intelligent System Design and Engineering Applications (ISDEA '13), pp. 1355–1357, Hong Kong, January 2013. View at Publisher · View at Google Scholar · View at Scopus
  35. R. Thom, Structural Stability and Morphogenesis, Westview Press, Boulder, Colo, USA, 1972.
  36. X. F. Du, Application of Catastrophe Theory in Economic Field, Xi’an Electronic Science & Technology University Press, Chengdu, China, 1994 (Chinese).
  37. E. Hoek and E. T. Brown, Underground Excavations in Rock, Institute of Mining and Metallurgy, London, UK, 1980.
  38. Z. Saada, S. Maghous, and D. Garnier, “Stability analysis of rock slopes subjected to seepage forces using the modified Hoek-Brown criterion,” International Journal of Rock Mechanics and Mining Sciences, vol. 55, pp. 45–54, 2012. View at Publisher · View at Google Scholar · View at Scopus
  39. J.-C. Jiang, R. Baker, and T. Yamagami, “The effect of strength envelope nonlinearity on slope stability computations,” Canadian Geotechnical Journal, vol. 40, no. 2, pp. 308–325, 2003. View at Publisher · View at Google Scholar · View at Scopus
  40. C. B. Qin, S. C. Chian, X. L. Yang, and D. C. Du, “2D and 3D limit analysis of progressive collapse mechanism for deep-buried tunnels under the condition of varying water table,” International Journal of Rock Mechanics & Mining Sciences, vol. 80, pp. 255–264, 2015. View at Publisher · View at Google Scholar · View at Scopus