Geomechanics and Engineering

  • 제22권4호
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  • Pages.319-328
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  • 2020
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  • 2005-307X(pISSN)
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  • 2092-6219(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Stability assessment of soil slopes in three dimensions: The effect of the width of failure and of tension crack

  • 투고 : 2019.09.10
  • 심사 : 2020.07.12
  • 발행 : 2020.08.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper investigates the effect of the width of failure and tension crack (TC) on the stability of cohesive-frictional soil slopes in three dimensions. Working analytically, the slip surface and the tension crack are considered to have spheroid and cylindrical shape respectively, although the case of tension crack having planar, vertical surface is also discussed; the latter was found to return higher safety factor values. Because at the initiation of a purely rotational slide along a spheroid surface no shear forces develop inside the failure mass, the rigid body concept is conveniently used; in this respect, the validity of the rigid body concept is discussed, whilst it is supported by comparison examples. Stability tables are given for fully drained and fully saturated slopes without TC, with non-filled TC as well as with fully-filled TC. Among the main findings is that, the width of failure corresponding to the minimum safety factor value is not always infinite, but it is affected by the triggering factor for failure (e.g., water acting as pore pressures and/or as hydrostatic force in the TC). More specifically, it was found that, when a slope is near its limit equilibrium and under the influence of a triggering factor, the minimum safety factor value corresponds to a near spherical failure mechanism, even if the triggering factor (e.g., pore-water pressures) acts uniformly along the third dimension. Moreover, it was found that, the effect of tension crack is much greater when the stability of slopes is studied in three dimensions; indeed, safety factor values comparable to the 2D case are obtained.

키워드

참고문헌

  1. Anagnosti, P. (1969), "Three dimensional stability of fill dams", Proceeding of 7th International Conference on Soil Mechanics and Foundation Engineering, Mexico City, Mexico, August.
  2. Arfken, G.B., Weber, H.J. and Harris, F.E. (2012), Mathematical methods for physicists, Academic, Elsevier, New York, U.S.A.
  3. Baker, R. (1981), "Tensile strength, tension cracks and stability of slopes", Soils Found., 21(2), 1-17. https://doi.org/10.3208/sandf1972.21.2_1.
  4. Bishop, A.W. (1955), "The use of the slip circle in the stability analysis of slopes", Geotechnique, 5(1), 7-17. https://doi.org/10.1680/geot.1955.5.1.7.
  5. Bishop, A.W. and Morgenstern, N. (1960), "Stability coefficients for earth slopes", Geotechnique, 10(4), 129-153. https://doi.org/10.1680/geot.1960.10.4.129.
  6. Chakraborty, A. and Goswami, D. (2016), "State of the art: Three dimensional (3D) slope-stability analysis", Int. J. Geotech. Eng., 10(5), 493-498. https://doi.org/10.1080/19386362.2016.1172807.
  7. Chen, R.H. and Chameau, J.L. (1983), "Three-dimensional limit equilibrium analysis of slopes", Geotechnique, 33(1), 31-40. https://doi.org/10.1680/geot.1983.33.1.31.
  8. Chen, W.F., Giger, M.W. and Fang, H.Y. (1969), "On the limit analysis of stability of slopes", Soils Found., 9(4), 23-32. https://doi.org/10.3208/sandf1960.9.4_23.
  9. Chen, Z., Mi, H., Zhang, F. and Wang, X. (2003), "A simplified method for 3D slope stability analysis", Can. Geotech. J., 40(3), 675-683. https://doi.org/10.1139/t03-002
  10. Cheng, Y.M. and Yip, C.J. (2007), "Three-dimensional asymmetrical slope stability analysis extension of Bishop's, Janbu's, and Morgenstern-Price's techniques", J. Geotech. Geoenviron. Eng., 133(12), 1544-1555. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:12(1544).
  11. Cousins, B.F. (1978), "Stability charts for simple earth slopes", J. Geotech. Eng. Div., 104(2), 267-279. https://doi.org/10.1061/AJGEB6.0000585
  12. Cousins, B.F. (1980), "Stability charts for simple earth slopes allowing for tension cracks", Proceedings of the 3rd Australia-New Zealand Conference on Geomechanics, Wellington, New Zealand, May.
  13. Ganjian, N., Askari, F. and Farzaneh, O. (2010), "Influences of nonassociated flow rules on three-dimensional seismic stability of loaded slopes", J. Cent. South Univ. Technol., 17(3), 603-611. https://doi.org/10.1007/s11771-010-0529-x
  14. Gao, Y., Wu, D., Zhang, F., Lei, G.H., Qin, H. and Qiu, Y. (2016), Limit analysis of 3D rock slope stability with non-linear failure criterion", Geomech. Eng., 10(1), 59-76. https://doi.org/10.12989/gae.2016.10.1.059
  15. Gao, Y., Zhu, D., Zhang, F., Lei, G.H. and Qin, H. (2014), "Stability analysis of three-dimensional slopes under water drawdown conditions", Can. Geotech. J., 51(11), 1355-1364. https://doi.org/10.1139/cgj-2013-0448.
  16. Gao, Y.F., Zhang, F., Lei, G.H. and Li, D.Y. (2013), "An extended limit analysis of three-dimensional slope stability", Geotechnique, 63(6), 518-524. https://doi.org/10.1680/geot.12.T.004.
  17. Gens, A., Hutchinson, J.N. and Cavounidis, S. (1988), "Three-dimensional analysis of slides in cohesive soils", Geotechnique, 38(1), 1-23. https://doi.org/10.1680/geot.1988.38.1.1.
  18. Hovland, H.J. (1979), "Three-dimensional slope stability analysis method", J. Geotech. Geoenviron. Eng., 105(5), 693-695.
  19. Huang, C.C., Tsai, C.C. and Chen, Y.H. (2002), "Generalized method for three-dimensional slope stability analysis", J. Geotech. Geoenviron. Eng., 128(10), 836-848. https://doi.org/10.1061/(ASCE)1090-0241(2002)128:10(836).
  20. Hungr, O. (1987), "An extension of Bishop's simplified method of slope stability analysis to three dimensions", Geotechnique, 37(1), 113-117. https://doi.org/10.1680/geot.1987.37.1.113.
  21. Hungr, O., Salgado, F.M. and Byrne, P.M. (1989), "Evaluation of a three-dimensional method of slope stability analysis", Can. Geotech. J., 26(4), 679-686. https://doi.org/10.1139/t89-079.
  22. Janbu, N. (1954), "Stability analysis of slopes with dimensionless parameters", Division of Engineering and Applied Physics, Harvard University Soil Mechanics Series, Harvard University, Massachusetts, U.S.A.
  23. Janbu, N. (1967), "Dimensionless parameters for homogeneous earth slopes", J Soil Mech. Found. Div., 93(6), 367-374. https://doi.org/10.1061/JSFEAQ.0001063
  24. Janbu, N. (1968), "Slope stability computations", Soil Mechanics and Foundation Engineering Report, The Technical University of Norway, Norway.
  25. Jeldes, I.A., Vence, N.E. and Drumm, E.C. (2015), "Approximate solution to the Sokolovskii concave slope at limiting equilibrium", Int. J. Geomech., 15(2), 04014049. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000330
  26. Kalatehjari, R. and Ali, N. (2013), "A review of three-dimensional slope stability analyses based on limit equilibrium method", Electron. J. Geotech. Eng., 18, 119-134.
  27. Leshchinsky, D. and Huang, C.C. (1992), "Generalized three-dimensional slope-stability analysis", J. Geotech. Eng., 118(11), 1748-1764. https://doi.org/10.1061/(ASCE)0733-9410(1992)118:11(1748).
  28. Leshchinsky, D., Baker, R. and Silver, M.L. (1985), "Three dimensional analysis of slope stability", Int. J. Numer. Anal. Meth. Geomech., 9(3), 199-223. https://doi.org/10.1002/nag.1610090302.
  29. Lim, K., Lyamin, A.V., Cassidy, M.J. and Li, A.J. (2016), "Three-dimensional slope stability charts for frictional fill materials placed on purely cohesive clay", Int. J. Geomech., 16(2), 04015042. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000526.
  30. Lin, H.D., Wang, W.C. and Li, A.J. (2020), "Investigation of dilatancy angle effects on slope stability using the 3D finite element method strength reduction technique", Comput. Geotech., 118, 103295. https://doi.org/10.1016/j.compgeo.2019.103295.
  31. Liu, G., Zhuang, X. and Cui, Z. (2017), "Three-dimensional slope stability analysis using independent cover based numerical manifold and vector method", Eng. Geol., 225, 83-95. https://doi.org/10.1016/j.enggeo.2017.02.022.
  32. Michalowski, R.L. (2010), "Limit analysis and stability charts for 3D slope failures", J. Geotech. Geoenviron. Eng., 136(4), 583-593. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000251.
  33. Michalowski, R.L. and Drescher, A. (2009), "Three-dimensional stability of slopes and excavations", Geotechnique, 59(10), 839-850. https://doi.org/10.1680/geot.8.P.136.
  34. Michalowski, R.L. and Tabetha, M. (2011), "Stability charts for 3D failures of steep slopes subjected to seismic excitation", J. Geotech. Geoenviron. Eng., 137(2), 183-189. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000412.
  35. Morimasa, S. and Miura, K. (2008), "Three-dimensional slope stability analysis by means of limit equilibrium method", Proceedings of the 10th International Symposium on Landslides and Engineered Slopes: From the Past to the Future, Xi'an, China, June-July.
  36. Nadukuru, S.S., Martel, T. and Michalowski, R.L. (2011), "3D analysis of steep slopes subjected to seismic excitation", Proceedings of Geo-Frontiers 2011, Dallas, Texas, U.S.A., March.
  37. Pan, Q., Xu, J. and Dias, D. (2017), "Three-dimensional stability of a slope subjected to seepage forces", Int. J. Geomech., 17(8), 04017035. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000913
  38. Pantelidis, L. and Griffiths, D.V. (2012), "Stability assessment of slopes using different factoring strategies", J. Geotech. Geoenviron. Eng., 138(9), 1158-1160. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000678.
  39. Pantelidis, L. and Griffiths, D.V. (2013a), "Stability of earth slopes. Part I: Two-dimensional analysis in closed-form", Int. J. Numer. Anal. Meth. Geomech., 37(13), 1969-1986. https://doi.org/10.1002/nag.2118.
  40. Pantelidis, L. and Griffiths, D.V. (2013b), "Stability of earth slopes. Part II: three dimensional analysis in closed-form", Int. J. Numer. Anal. Meth. Geomech., 37(13), 1987-2004. https://doi.org/10.1002/nag.2116.
  41. Pantelidis, L. and Griffiths, D.V. (2013c), "Integrating Eurocode 7 (load and resistance factor design) using nonconventional factoring strategies in slope stability analysis", Can. Geotech. J., 51(2), 208-216. https://doi.org/10.1139/cgj-2013-0239.
  42. Pantelidis, L. and Psaltou, E. (2012), "Stability tables for homogeneous earth slopes with benches", Int. J. Geotech. Eng., 6(3), 381-394. https://doi.org/10.3328/IJGE.2012.06.03.381-394.
  43. Spencer, E. (1967), "A method of analysis of the stability of embankments assuming parallel inter-slice forces", Geotechnique, 17(1), 11-26. https://doi.org/10.1680/geot.1967.17.1.11.
  44. Sun, C., Chai, J., Ma, B., Luo, T., Gao, Y. and Qiu, H. (2019), "Stability charts for pseudostatic stability analysis of 3D homogeneous soil slopes using strength reduction finite element method", Adv. Civ. Eng., 1-18. https://doi.org/10.1155/2019/6025698.
  45. Sun, C., Chai, J., Xu, Z. and Qin, Y. (2017), "3D stability charts for convex and concave slopes in plan view with homogeneous soil based on the strength-reduction method", Int. J. Geomech., 17(5), 06016034. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000809.
  46. Sun, G., Zheng, H. and Jiang, W. (2012), "A global procedure for evaluating stability of three-dimensional slopes", Nat. Hazards, 61(3), 1083-1098. https://doi.org/10.1007/s11069-011-9963-9.
  47. Taylor, D. (1948), Fundamentals of soil mechanics, Chapman and Hall, Limited, New York, U.S.A.
  48. Ugai, K. (1988), "Three-dimensional slope stability analysis by slice methods", Proceedings of the 6th International Conference on Numerical Methods in Geomechanics, Innsbruck, Austria, April.
  49. US Army Corps of Engineers (1990), "Engineering and design -Settlement analysis", EM 1110-1-1904, US Army Corps of Engineers.
  50. Wang, L., Hu, W., Sun, D. and Li, L. (2019) "3D stability of unsaturated soil slopes with tension cracks under steady infiltrations", Int. J. Numer. Anal. Meth. Geomech., 43(6), 1184-1206. https://doi.org/10.1002/nag.2889
  51. Xing, Z. (1988), "Three-dimensional stability analysis of concave slopes in plan view", J. Geotech. Eng., 114(6), 658-671. https://doi.org/10.1061/(ASCE)0733-9410(1988)114:6(658).
  52. Xu, J., Li, Y. and Yang, X. (2018), "Stability charts and reinforcement with piles in 3D nonhomogeneous and anisotropic soil slope", Geomech. Eng., 14(1), 71-81. https://doi.org/10.12989/gae.2018.14.1.071.
  53. Xu, J.S. and Yang, X.L. (2018) "Three-dimensional stability analysis of slope in unsaturated soils considering strength nonlinearity under water drawdown", Eng. Geol., 237, 102-115. https://doi.org/10.1016/j.enggeo.2018.02.010.
  54. Yamagami, T. and Jiang, J.C. (1997), "A search for the critical slip surface in three-dimensional slope stability analysis", Soils Found., 37(3), 1-16. https://doi.org/10.3208/sandf.37.3_1.
  55. Yamaguchi, K., Takeuchi, N. and Hamasaki, E. (2018), "Three-dimensional simplified slope stability analysis by hybrid-type penalty method", Geomech. Eng., 15(4), 947-955. https://doi.org/10.12989/gae.2018.15.4.947.
  56. Yang, X.L. (2017), "Effect of pore-water pressure on 3D stability of rock slope", Int. J. Geomech., 17(9), 06017015. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000969.
  57. Yang, X.L. and Xu, J. (2017), "Three-dimensional stability of two-stage slope in inhomogeneous soils", Int. J. Geomech., 17(7), 06016045. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000867.
  58. Zhang, T., Cai, Q., Han, L., Shu, J. and Zhou, W. (2017), "3D stability analysis method of concave slope based on the Bishop method", Int. J. Min. Sci. Technol., 27(2), 365-370. https://doi.org/10.1016/j.ijmst.2017.01.020.
  59. Zhang, Y., Chen, G., Wang, B. and Li, L. (2013a), "An analytical method to evaluate the effect of a turning corner on 3D slope stability", Comput. Geotech., 53, 40-45. https://doi.org/10.1016/j.compgeo.2013.05.002.
  60. Zhang, Y., Chen, G., Zheng, L., Li, Y. and Zhuang, X. (2013b), "Effects of geometries on three-dimensional slope stability", Can. Geotech. J., 50(3), 233-249. https://doi.org/10.1139/cgj-2012-0279.
  61. Zhou, X.P. and Cheng, H. (2013), "Analysis of stability of three-dimensional slopes using the rigorous limit equilibrium method", Eng. Geol., 160, 21-33. https://doi.org/10.1016/j.enggeo.2013.03.027.