Abstract
The plane failure is a common failure type for the rock slope, which generally is complicated with different kinds of weak joints. Regarding the rock slope design, the ultimate height for the rock slope cuttings is a general function of factors including the factor of safety in design, the seismic zoning, the inclination of cuttings, the orientation of weak joints, the unit weight of the rockmass, and the physical properties on weak joints. The analytical solution of the ultimate height of rock slopes is derived considering the impact of the earthquake. The sensitivity between the analytical solution and each factor is investigated, and a case study is presented for the illustration.
Data availability
The datasets generated and/or analyzed during the current study are available from the corresponding author on a reasonable request.
References
Chen, X. et al. (2018). Random seismic response and dynamic fuzzy reliability analysis of bedding rock slopes based on pseudoexcitation method. International Journal of Geomechanics. 18(3). https://doi.org/10.1061/(ASCE)GM.1943-5622.0001084
Chi EA, Tao TJ, Zhao MS, Kang Q (2014) Failure mode analysis of bedding rock slope affected by rock mass structural plane. Appl Mech Mater 602-605:594–597. https://doi.org/10.4028/www.scientific.net/AMM.602-605.594
He Z, Wang B (2018) Instability process model test for bedding rock slope with weak interlayer under different rainfall conditions. Advances in Civil Engineering:1–8. https://doi.org/10.1155/2018/8201031
Hoek E, Bray J (1981) Rock slope engineering (Revised 3rd ed.). Institution of Mining and Metallurgy, London
Huang M, Fan X, Wang H (2017) Three-dimensional upper bound stability analysis of slopes with weak interlayer based on rotational-translational mechanisms. Eng Geol 223(7):82–91. https://doi.org/10.1016/j.enggeo.2017.04.017
Jiang Y, Chen Z, Bi G et al (2012) Research on critical height and stability of slopes based on upper bound limit analysis method. Hydrogeology & Engineering Geology 39(2):43–46
Lim S, Yang H (2004) An analysis of plane failure of rock slopes by quantified stereographic projection. Int J Rock Mech Min Sci 41(s1):744–749. https://doi.org/10.1016/j.ijrmms.2004.03.129
Miao J, Chen Z, Zhang M, Bi G (2011) Study and analysis of critical inclination slope with planar failure surface. Chinese Journal of Geotechnical Engineering 33(1):94–97
Pan X et al (2017) Study of the failure mechanism and progressive failure process of intact rock patches of rock slope with weak surfaces. Rock Mech Rock Eng 50(4):951–966. https://doi.org/10.1007/s00603-016-1143-5
Raghuvanshi T (2017) Plane failure in rock slopes - a review on stability analysis techniques. Journal of King Saud University - Science 31(1):101–109. https://doi.org/10.1016/j.jksus.2017.06.004
Rui Y et al (2016) Modified limiting equilibrium method for stability analysis of stratified rock slopes. Math Probl Eng 2016:1–9. https://doi.org/10.1155/2016/8381021
Sharma S, Raghuvanshi T, Anbalagan R (1995) Plane failure analysis of rock slopes. Geotech Geol Eng 13(2):105–111. https://doi.org/10.1007/BF00421876
Shukla S, Hossain M (2011) Analytical expression for factor of safety of an anchored rock slope against plane failure. Int J Geotech Eng 5(2):181–187. https://doi.org/10.3328/IJGE.2011.05.02.181-187
Xu B, Yan C, Xu S (2013) Analysis of the bedding landslide due to the presence of the weak intercalated layer in the limestone. Environ Earth Sci 70(6):2817–2825. https://doi.org/10.1007/s12665-013-2341-z
Zhao Z, Guo T, Ning Z, Dou Z, Dai F, Yang Q (2018) Numerical modeling of stability of fractured reservoir bank slopes subjected to water–rock interactions. Rock Mech Rock Eng 51(8):2517–2531. https://doi.org/10.1007/s00603-017-1360-6
Zhou J, Jiao MY, Xing HG, Yang XG, Yang YC (2017) A reliability analysis method for rock slope controlled by weak structural surface. Geosci J 21(3):453–467. https://doi.org/10.1007/s12303-016-0058-1
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The author appreciates the funding provided by Natural Science Foundation of China (51808292) and National Natural Science Foundation of Fujian (2020J05068), China.
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Responsible Editor: Zeynal Abiddin Erguler
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Bi, G. Analytical solution of the ultimate height for rock slope design. Arab J Geosci 14, 910 (2021). https://doi.org/10.1007/s12517-021-07134-y
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DOI: https://doi.org/10.1007/s12517-021-07134-y