Technical Papers
Dec 21, 2020

Slope Stability Analysis Considering Different Contributions of Shear Strength Parameters

Publication: International Journal of Geomechanics
Volume 21, Issue 3

Abstract

From the perspective of the mechanical mechanism of slope failure, cohesion c usually plays a different role with friction φ in sliding resistance, which indicates the distinct weights of their reduction factors Fsc and Fsφ to the overall safety factor of slope Fs in the double strength reduction method (DSRM). This study primarily introduced the equivalent influence angle of slope θe, for which c and φ share identical contributions to the safety factor, and investigated its influencing factors, which turns out that θe shows an increasing trend with an increase of slope weight H or slope height γ, but the increasing rate is decreasing. Subsequently, an equivalent influence angle chart was plotted as an effective and advantageous approach to locate the specific value of θe for a given slope. On this basis, the shortest reduction path method was utilized to calculate Fsc and Fsφ, and the stability contributions of c and φ were quantified by the different weight coefficients of Fsc and Fsφ to Fs. The specific weight coefficient could be solved by the correlation between slope angle θ and corresponding θe, thereby developing a new definition of Fs. Ultimately, a modified double strength reduction method was achieved, which was compared with other DSRMs and verified by existing slope examples.

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Acknowledgments

This paper received funding from Project 51774322 supported by the National Natural Science Foundation of China, Project 2018JJ2500 supported by Hunan Provincial Natural Science Foundation of China, and the Scientific Research Innovation Project for Graduate Students of Central South University (2019zzts303). The authors acknowledge these supports.

References

Atalla, H. N., A. I. H. Malkawi, and M. M. A. Yamin. 2008. “Stability analysis of slopes using the finite element method and limiting equilibrium approach.” Bull. Eng. Geol. Environ. 67 (4): 471–478. https://doi.org/10.1007/s10064-008-0156-z.
Bai, B., W. Yuan, and X. C. Li. 2014. “A new double reduction method for slope stability analysis.” J. Central South Univ. 21 (3): 1158–1164. https://doi.org/10.1007/s11771-014-2049-6.
Bai, B., W. Yuan, and L. Shi. 2015. “Comparing a new double reduction method to classic strength reduction method for slope stability analysis.” Rock Soil Mech. 36 (5): 1275–1281. https://doi.org/10.16285/j.rsm.2015.05.005.
Barton, N., and S. K. Pandey. 2011. “Numerical modeling of two stoping methods in two Indian mines using degradation of c and φ mobilization of based on Q-parameters.” Int. J. Rock Mech. Min. Sci. 48 (7): 1095–1112. https://doi.org/10.1016/j.ijrmms.2011.07.002.
Bishop, A. W. 1955. “The use of the slip circle in the stability analysis of slope.” Géotechnique 5 (1): 7–17. https://doi.org/10.1680/geot.1955.5.1.7.
Chen, Y. F., and H. Lin. 2019. “Consistency analysis of Hoek–Brown and equivalent Mohr–coulomb parameters in calculating slope safety factor.” Bull. Eng. Geol. Environ. 78 (6): 4349–4361. https://doi.org/10.1007/s10064-018-1418-z.
Chen, Y. F., H. Lin, Y. Wang, R. Cao, C. Zhang, and Y. Zhao. 2020. “Modified double-reduction method considering strain softening and equivalent influence angle.” KSCE J. Civ. Eng. 24 (11): 3257–3266. https://doi.org/10.1007/s12205-020-0547-7.
Cheng, Y. M., T. Lansivaara, and W. B. Wei. 2007. “Two-dimensional 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.
Fu, W., and Y. Liao. 2010. “Non-linear shear strength reduction technique in slope stability calculation.” Comput. Geotech. 37 (3): 288–298. https://doi.org/10.1016/j.compgeo.2009.11.002.
Griffiths, D. V., and P. A. Lane. 1999. “Slope stability analysis by finite elements.” Géotechnique 49 (3): 387–403. https://doi.org/10.1680/geot.1999.49.3.387.
Hajiabdolmajid, V., P. K. Kaiser, and C. D. Martin. 2002. “Modelling brittle failure of rock.” Int. J. Rock Mech. Min. Sci. 39 (6): 731–741. https://doi.org/10.1016/S1365-1609(02)00051-5.
Isakov, A., and Y. Moryachkov. 2014. “Estimation of slope stability using two-parameter criterion of stability.” Int. J. Geomech. 14 (3): 06014004. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000326.
Janbu, N. 1975. “Slope stability computations: In embankment-dam engineering. Textbook. Eds. R. C. Hirschfeld and S. J. Poulos. John Wiley and Sons Inc., Pub., NY, 1973, 40P.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 12 (4): 67. https://doi.org/10.1016/0148-9062(75)90139-4.
Jiang, X. Y., Z. G. Wang, and L. Y. Liu. 2013. “The determination of reduction ratio factor in homogeneous soil-slope with finite element double strength reduction method.” Open Civ. Eng. J. 7 (1): 205–209. https://doi.org/10.2174/1874149501307010205.
Krahn, J. 2003. “The 2001 R.M. Hardy Lecture: The limits of limit equilibrium analyses.” Can. Geotech. J. 40 (3): 643–660. https://doi.org/10.1139/t03-024.
Li, X. W., X. Yuan, and X. W. Li. 2012. “Analysis of slope instability based on strength reduction method.” Appl. Mech. Mater. 170–173: 1238–1242. https://doi.org/10.4028/www.scientific.net/AMM.170-173.1238.
Lin, H., P. Cao, F. Q. Gong, J. T. Li, and Y. L. Gui. 2009. “Directly searching method for slip plane and its influential factors based on critical state of slope.” J. Central South Univ. Technol. 16 (1): 131–135. https://doi.org/10.1007/s11771-009-0022-6.
Lin, H., and J. Chen. 2017. “Back analysis method of homogeneous slope at critical state.” KSCE J. Civ. Eng. 21 (3): 670–675. https://doi.org/10.1007/s12205-016-0400-1.
Lin, H., W. Zhong, and P. Cao. 2016. “Three-dimensional rock slope stability analysis considering the surface load distribution.” Eur. J. Environ. Civ. Eng. 20 (8): 877–898. https://doi.org/10.1080/19648189.2015.1084382.
Morgenstern, N. R., and V. E. Price. 1965. “The analysis of the stability of general slip surfaces.” Géotechnique 15 (1): 79–93. https://doi.org/10.1680/geot.1965.15.1.79.
Renani, H. R., and C. D. Martin. 2018. “Cohesion degradation and friction mobilization in brittle failure of rocks.” Int. J. Rock Mech. Min. Sci. 106: 1–13. https://doi.org/10.1016/j.ijrmms.2018.04.003.
Renani, H. R., and C. D. Martin. 2020. “Slope stability analysis using equivalent Mohr–Coulomb and Hoek–Brown criteria.” Rock Mech. Rock Eng. 53 (1): 13–21. https://doi.org/10.1007/s00603-019-01889-3.
Schneider-Muntau, B., G. Medicus, and W. Fellin. 2017. “Strength reduction method in Barodesy.” Comput. Geotech. 95: 57–67. https://doi.org/10.1016/j.compgeo.2017.09.010.
Skempton, A. W., and L. A. Rochellep. 1965. “The Bradwell slip: A short-term failure in London clay.” Géotechnique 15 (3): 221–242. https://doi.org/10.1680/geot.1965.15.3.221.
Spencer, E. 1967. “A method of analysis of the stability of embankments assuming parallel inter-slice forces.” Géotechnique 17 (1): 11–26. https://doi.org/10.1680/geot.1967.17.1.11.
Tang, F., and Y. R. Zheng. 2008. “Mechanism analysis of dual reduction factors about the progress failure of slope.” Chin. J. Underground Space Eng. 4 (3): 436–441.
Tang, F., Y. R. Zheng, and S. Y. Zhao. 2007. “Discussion on two safety factors for progressive failure of soil slope.” Chin. J. Rock Mech. Eng. 26 (7): 1402–1407.
Wang, W., W. Yuan, X.-c. Li, and B. Bai. 2016. “Evaluation approach of the slope stability based on deformation analysis.” Int. J. Geomech. 16 (2): 04015054. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000528.
Wei, W. B., and Y. M. Cheng. 2009. “Strength reduction analysis for slope reinforced with one row of piles.” Comput. Geotech. 36 (7): 1176–1185. https://doi.org/10.1016/j.compgeo.2009.05.004.
Xiao, S. G., D. G. Wei, and J. X. Zeng. 2017. “Factor of safety of slope stability from deformation energy.” Can. Geotech. J. 55 (2): 296–302. https://doi.org/10.1139/cgj-2016-0527.
Xue, H., F. Dang, X. Yin, W. Ding, and C. Yang. 2016. “Nonproportional correlative reduction finite element method for slope strength parameters.” Math. Probl. Eng. 2016: 2725354. https://doi.org/10.1155/2016/2725354.
Yuan, W., B. Bai, X. C. Li, and H. B. Wang. 2013. “A strength reduction method based on double reduction parameters and its application.” J. Central South Univ. 20 (9): 2555–2562. https://doi.org/10.1007/s11771-013-1768-4.
Yuan, W., J. Li, Z. Li, W. Wang, and X. Sun. 2020a. “A strength reduction method based on the generalized Hoek–Brown (GHB) criterion for rock slope stability analysis.” Comput. Geotech. 117: 103240. https://doi.org/10.1016/j.compgeo.2019.103240.
Yuan, W., X. C. Li, W. Wang, B. Bai, Q. Z. Wang, and X. J. Chen. 2016. “Study on strength reduction method based on double reduction parameters.” Rock Soil Mech. 37 (8): 2222–2230.
Yuan, W., Z. Li, J. Niu, and J. Li. 2020b. “Research on a two-parameter reduction method that strictly satisfies the upper and lower limit theorem.” Bull. Eng. Geol. Environ. 79 (1): 1–10. https://doi.org/10.1007/s10064-019-01552-9.
Zhang, Y., G. Chen, L. Zheng, Y. Li, and X. Zhuang. 2013. “Effects of geometries on three-dimensional slope stability.” Can. Geotech. J. 50 (3): 233–249. https://doi.org/10.1139/cgj-2012-0279.
Zheng, H., L. G. Tham, and D. Liu. 2006. “On two definitions of the factor of safety commonly used in the finite element slope stability analysis.” Comput. Geotech. 33 (3): 188–195. https://doi.org/10.1016/j.compgeo.2006.03.007.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 21Issue 3March 2021

History

Received: Jun 18, 2020
Accepted: Oct 2, 2020
Published online: Dec 21, 2020
Published in print: Mar 1, 2021
Discussion open until: May 21, 2021

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Ph.D. Candidate, School of Resources and Safety Engineering, Central South Univ., Changsha, Hunan 410083, China. Email: [email protected]
Professor, School of Resources and Safety Engineering, Central South Univ., Changsha, Hunan 410083, China (corresponding author). ORCID: https://orcid.org/0000-0002-5924-5163. Email: [email protected]
Associate Professor, School of Resources and Safety Engineering, Central South Univ., Changsha, Hunan 410083, China. Email: [email protected]
Chunyang Zhang [email protected]
Associate Professor, School of Resources and Environment Engineering, Wuhan Univ. of Technology, Wuhan 430070, China. Email: [email protected]

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