Slope Stability Analysis using Equivalent Mohr–Coulomb and Hoek–Brown criteria
Slope stability is a major design objective in civil and mining projects such as dams and open pit mines. Stability of slopes is evaluated primarily based on the factor of safety, defined as the factor by which the shear strength of the slope material must be divided to bring the slope to the point of failure. It is evident from the definition that factor of safety is controlled by shear strength of the material. Failure criteria describing material strength under various loading conditions are used in stability analysis to determine the slope factor of safety.
The linear Mohr–Coulomb and nonlinear Hoek–Brown criteria (Hoek and Brown 1980, 2018; Hoek et al. 2002) are by far the most commonly used failure criteria in slope stability analysis. As a result, there are many instances in which it is desirable to convert one criterion to another without significantly affecting the results of analysis. It is crucial at this point to make a distinction between conversion methods...
KeywordsFactor of safety Elastic analysis Confining stress range Limit equilibrium analysis Area of failure In situ stress ratio
This work was financially supported by the Natural Sciences and Engineering Research Council of Canada (NSERC: RES0014117).
Compliance with Ethical Standards
Conflict of interest
The authors declare that they have no conflict of interest.
- Antony J (2003) Design of experiments for engineers and scientists. Butterworth Heinemann, OxfordGoogle Scholar
- Brown ET (2008) Estimating the mechanical properties of rock masses. In: Potvin Y et al (eds) Proceedings of the 1st Southern hemisphere international rock mechanics symposium. Australian Centre for Geomechanics, Perth, pp 3–21Google Scholar
- Cundall P, Carranza-Torres C, Hart R (2003) A new constitutive model based on the Hoek–Brown criterion. In: Brummer R et al (eds) Proceedings of the 3rd international FLAC symposium, Balkema, Lisse, pp 17–25Google Scholar
- Griffith AA (1924) Theory of rupture. In: Proceedings of the 1st international congress on applied mechanics. Delft, pp 55–63Google Scholar
- Hammah RE, Yacoub TE, Curran JH (2009) Numerical modelling of slope uncertainty due to rock mass jointing. In: Proceedings of the international conference on rock joints and jointed rock masses, Tucson. https://www.rocscience.com/documents/pdfs/library/Numerical-Modelling-of-Slope-Uncertainty-due-to-Rock-Mass-Jointing.pdf. Accessed 13 June 2019
- Hoek E, Brown ET (1980) Underground excavations in rock. The Institution of Mining and Metallurgy, LondonGoogle Scholar
- Hoek E, Carranza-Torres C, Corkum B (2002) Hoek–Brown failure criterion- 2002 edition. In: Hammah R et al (eds) Proceedings of the 5th North American rock mechanics symposium. University of Toronto, Toronto, pp 267–273Google Scholar
- Hoek E, Carranza-Torres C, Diederichs M, Corkum B (2008) The 2008 Kersten lecture: integration of geotechnical and structural design in tunnelling. In: Proceedings of the 56th annual geotechnical engineering conference. University of Minnesota, Minneapolis, pp 1–53Google Scholar
- Rocscience Inc. (2018a) SLIDE- 2D limit equilibrium analysis of slope stability, version 8.0. TorontoGoogle Scholar
- Rocscience Inc. (2018b) RS2- 2D finite element analysis of geotechnical structures, version 9.0. TorontoGoogle Scholar
- Shah S (1992) A study of the behaviour of jointed rock masses. Ph.D. thesis, University of TorontoGoogle Scholar