DOI QR코드

DOI QR Code

Discretization technique for stability analysis of complex slopes

  • Hou, Chaoqun (School of Automotive and Transportation Engineering, Hefei University of Technology) ;
  • Zhang, Tingting (School of Automotive and Transportation Engineering, Hefei University of Technology) ;
  • Sun, Zhibin (School of Automotive and Transportation Engineering, Hefei University of Technology) ;
  • Dias, Daniel (School of Automotive and Transportation Engineering, Hefei University of Technology) ;
  • Li, Jianfei (School of Automotive and Transportation Engineering, Hefei University of Technology)
  • Received : 2018.11.30
  • Accepted : 2019.01.30
  • Published : 2019.02.28

Abstract

In practice, the natural slopes are frequently with soils of spatial properties and irregular features. The traditional limit analysis method meets an inherent difficulty to deal with the stability problem for such slopes due to the normal condition in the associated flow rule. To overcome the problem, a novel technique based on the upper bound limit analysis, which is called the discretization technique, is employed for the stability evaluation of complex slopes. In this paper, the discretization mechanism for complex slopes was presented, and the safety factors of several examples were calculated. The good agreement between the discretization-based and previous results shows the accuracy of the proposed mechanism, proving that it can be an alternative and reliable approach for complex slope stability analysis.

Keywords

Acknowledgement

Supported by : Natural Science Foundation National Natural Science Foundation

References

  1. Aksoy, C.O., Uyar, G.G. and Ozcelik, Y. (2016), "Comparison of Hoek-Brown and Mohr-Coulomb failure criterion for deep open coal mine slope stability", Struct. Eng. Mech., 60(5), 809-828 https://doi.org/10.12989/sem.2016.60.5.809
  2. Aminpour, M.M., Maleki, M. and Ghanbari, A. (2017), "Investigation of the effect of surcharge on behavior of soil slopes", Geomech. Eng., 13(4), 653-669. https://doi.org/10.12989/gae.2017.13.4.653
  3. Anthony, T.G. (1999), "Genetic algorithm search for critical slip surface in multiple-wedge stability analysis", Can. Geotech. J., 36(2), 382-391. https://doi.org/10.1139/t98-110
  4. Babanouri, N. and Sarfarazi, V. (2018), "Numerical analysis of a complex slope instability: Pseudo-wedge failure", Geomech. Eng., 15(1), 669-676. https://doi.org/10.12989/GAE.2018.15.1.669
  5. Bhattacharya, P. and Roy, A. (2016), "Improvement in uplift capacity of horizontal circular anchor plate in undrained clay by granular column", Geomech. Eng., 10(5), 617-633. https://doi.org/10.12989/gae.2016.10.5.617
  6. Chen, J., Yin, J. and Lee, C.F. (2003), "Upper bound limit analysis of slope stability using rigid finite elements and nonlinear programming", Can. Geotech. J., 40(6), 742-752. https://doi.org/10.1139/t03-032
  7. Chen, W.F. (1975), Limit Analysis and Soil Plasticity, Elsevier Scientific Publishing Company, New York, U.S.A.
  8. Chen, W.F. and Liu, X.L. (1990), Limit Analysis in Soil Mechanics, Elsevier Scientific Publishing Company, New York, U.S.A.
  9. Chen, Z.Y. (2003), Stability Analysis of Earth Slopes: Principle, Method and Program, China Water Conservancy and Hydropower press, Beijing, China.
  10. Chen, Z.Y. and Shao, C.M. (1988), ''Evaluation of minimum factor of safety in slope stability analysis'', Can. Geotech. J., 25(4), 735-748. https://doi.org/10.1139/t88-084
  11. Cheng, Y.M., Lansivaara, T. and Wei, W.B. (2007), "Twodimensional slope stability analysis by limit equilibrium and strength reduction methods", Comput. Geotech., 34(3), 137-150. https://doi.org/10.1016/j.compgeo.2006.10.011
  12. Donald, I.B. and Chen, Z.Y. (1997), ''Slope stability analysis by the upper bound approach: Fundamentals and methods'', Can. Geotech. J., 34(6), 853-862. https://doi.org/10.1139/t97-061
  13. Gao, L.S., Zhao, L.H., Tang, G.P. and Luo, W. (2013), "Upper bound limit analysis of stability on inhomogeneity and anisotropy two-stage slope", Elec. J. Geotech. Eng., 18, 3581-3604.
  14. Griffiths, D.V. and Lane, P.A. (1999), "Slope stability analysis by finite elements", Geotechnique, 49(7), 653-654.
  15. Keawsawasvong, S. and Ukritchon, B. (2016), "Ultimate lateral capacity of two dimensional plane strain rectangular pile in clay", Geomech. Eng., 11(2), 235-251. https://doi.org/10.12989/gae.2016.11.2.235
  16. Khezri, N., Mohamad, H. and Fatahi, B. (2016), "Stability assessment of tunnel face in a layered soil using upper bound theorem of limit analysis", Geomech. Eng., 11(4), 471-492. https://doi.org/10.12989/gae.2016.11.4.471
  17. Kumar, J. (2000), "Slope stability calculations using limit analysis", Proceedings of the Geo-Denver 2000- Educational Issues in Geotechnical Engineering, Denver, Colorado, U.S.A., August.
  18. Kumar, J. and Samui, P. (2006), "Stability determination for layered soil slopes using the upper bound limit analysis", Geotech. Geol. Eng., 24(6), 1803-1819. https://doi.org/10.1007/s10706-006-7172-1
  19. Leshchinsky, B. (2015), "Limit equilibrium and limit analysis: Comparison of benchmark slope stability problems", J. Geotech. Geoenviron. Eng., 141(10), 04015043. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001347
  20. Li, Y.X. and Yang, X.L. (2018a), "Three-dimensional seismic displacement analysis of rock slopes based on Hoek-Brown failure criterion", KSCE J. Civ. Eng., 22(11), 4334-4344. https://doi.org/10.1007/s12205-018-3022-y
  21. Li, Z.W. and Yang, X.L. (2018b), "Active earth pressure for soils with tension cracks under steady unsaturated flow conditions", Can. Geotech. J., 55(12), 1850-1859. https://doi.org/10.1139/cgj-2017-0713
  22. Li, Y.X. and Yang, X.L. (2019a), "Soil-slope stability considering effect of soil-strength nonlinearity", Int. J. Geomech., 19(3), 04018201. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001355
  23. Li, Z.W. and Yang, X.L. (2019b), "Kinematical analysis of active earth pressure considering tension crack, pore-water pressure and soil nonlinearity", KSCE J. Civ. Eng., 23(1), 56-62. https://doi.org/10.1007/s12205-018-1098-z
  24. Malkawi, A.I.H., Hassan, W.F. and Sarma, S.K. (2001), "Global search method for locating general slip surface using Monte Carlo techniques", J. Geotech. Geoenviron. Eng., 127(8), 688-698. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:8(688)
  25. Michalowski, R.L. (1995), "Slope stability analysis a kinematical approach", Geotechnique, 45(2), 283-293. https://doi.org/10.1680/geot.1995.45.2.283
  26. Michalowski, R.L. (1998), "Limit analysis in stability calculations of reinforced soil structures", Geotext. Geomembranes, 16(6), 311-331. https://doi.org/10.1016/S0266-1144(98)00015-6
  27. Mollon, G., Dias, D. and Soubra, A.H. (2013), "Continuous velocity fields for collapse and blowout of a pressurized tunnel face in purely cohesive soil", Int. J. Numer. Anal. Meth. Geomech., 37(13), 2061-2083. https://doi.org/10.1002/nag.2121
  28. Nian, T.K., Chen, G.Q., Luan, M.T., Yang, Q. and Zheng, D.F. (2008), "Limit analysis of the stability of slopes reinforced with piles against landslide in nonhomogeneous and anisotropic soils", Can. Geotech. J., 45(8), 1092-1103. https://doi.org/10.1139/T08-042
  29. Pan, Q.J. and Dias, D. (2016), "Face stability analysis for a shielddriven tunnel in anisotropic and nonhomogeneous soils by the kinematical approach", Int. J. Geomech., 16(3), 1-11.
  30. Qin, C.B. and Chian, S.C. (2017), "Kinematic analysis of seismic slope stability with a discretization technique and pseudodynamic approach: a new perspective", Geotechnique, 68(6), 492-503.
  31. Rocscience Inc. (2003), Slide Verification Manual, Rocscience Inc., Toronto, Canada.
  32. Sloan, S.W. (2013), "Geotechnical stability analysis", Geotechnique, 63(7), 531-572. https://doi.org/10.1680/geot.12.RL.001
  33. Sun, Z.B., Pan, Q.J., Yang, X.L., Hou, C.Q. and Shang, M.T. (2017), "Discrete mechanism for the upper bound analysis of nonhomogeneous slope", Chin. J. Rock Mech. Eng., 36(7), 1680-1688.
  34. Xiao, S., Li, K., Ding, X. and Liu, T. (2015), "Numerical computation of homogeneous slope stability", Comput. Intell. Neurosci., 12.
  35. Xu, J.S. and Yang, X.L. (2019), "Seismic stability of 3D soil slope reinforced by geosynthetic with nonlinear failure criterion", Soil Dyn. Earthq. Eng., 118, 86-97. https://doi.org/10.1016/j.soildyn.2018.12.019
  36. Xu, J.S., Li, Y.X. and Yang, X.L. (2018), "Seismic and static 3D stability of two-stage slope considering joined influences of nonlinearity and dilatancy", KSCE J. Civ. Eng., 22(10), 3827-3836. https://doi.org/10.1007/s12205-018-0636-z
  37. Yang, X.L. and Li, Z.W. (2018), "Comparison of factors of safety using a 3D failure mechanism with kinematic approach", Int. J. Geomech., 18(9), 04018107. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001235
  38. Zhang, J.H., Wang, W.J., Zhang, D.B., Zhang, B. and Meng, F. (2018), "Safe range of retaining pressure for three-dimensional face of pressurized tunnels based on limit analysis and reliability method", KSCE J. Civ. Eng., 22(11), 4645-4656. https://doi.org/10.1007/s12205-017-0619-5

Cited by

  1. Explicit finite element analysis of slope stability by strength reduction vol.26, pp.2, 2019, https://doi.org/10.12989/gae.2021.26.2.133
  2. Discontinuous rock slope stability analysis by limit equilibrium approaches - a review vol.14, pp.12, 2019, https://doi.org/10.1080/17538947.2021.1988163