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A Simplified Failure Criterion for Intact Rocks Based on Rock Type and Uniaxial Compressive Strength

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Abstract

The uniaxial compressive strength (UCS) of intact rock, which can be estimated using relatively straightforward and cost-effective techniques, is one of the most practical rock properties used in rock engineering. Thus, constitutive laws to represent the strength and behavior of (intact) rock frequently use it, along with additional intrinsic rock properties. Although triaxial tests can be employed to obtain best-fit failure criterion parameters that provide best strength predictions, they are more expensive and require time-consuming procedures; as a consequence, they are often not readily available at early stages of a project. Based on the analysis of an extensive triaxial test database for intact rocks, we propose a simplified empirical failure criterion in which rock strength at failure is expressed in terms of confining stress and UCS, with a new parameter which can be directly estimated from the UCS for a specified rock type in the absence of triaxial test data. Performance of the proposed failure criterion is then tested for validation against experimental data for eight rock types. The results show that strengths of intact rock estimated by the proposed failure criterion are in good agreement with experimental test data, with small discrepancies between estimated and measurements strengths. Therefore, the proposed criterion can be useful for preliminary (triaxial) strength estimation of intact rocks when triaxial tests data are not available.

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References

  • Alejano LR, Bobet A (2012) Drucker–Prager criterion. Rock Mech Rock Eng 45(6):995–999

    Article  Google Scholar 

  • Barton N (1976) The shear strength of rock and rock joints. Int J Rock Mech Mining Sci Geomech Abstr 13(9):255–279

    Article  Google Scholar 

  • Bieniawski ZT (1974) Estimating the strength of rock materials. J South Afr Inst Min Metall, pp 312–320

  • Bieniawski ZT (1989) Engineering rock mass classifications. Wiley, New York

  • Chang C, Haimson B (2012) A failure criterion for rocks based on true triaxial testing. Rock Mech Rock Eng 45(6):1007–1010

    Article  Google Scholar 

  • da Fontoura SAB (2012) Lade and modified Lade 3D rock strength criteria. Rock Mech Rock Eng 45(6):1001–1006

    Article  Google Scholar 

  • Eberhardt E (2012) The Hoek–Brown failure criterion. Rock Mech Rock Eng 45(6):981–988

    Article  Google Scholar 

  • Haimson B, Bobet A (2012) Introduction to suggested methods for failure criteria. Rock Mech Rock Eng 45(6):973–974

    Article  Google Scholar 

  • Hoek E (2007) Practical rock engineering. In: Rock mass properties. http://www.rocscience.com/education/hoeks_corner/ (last accessed 31/12/2012)

  • Hoek E, Brown E (1997) Practical estimates of rock mass strength. Int J Rock Mech Min Sci 34(8):1165–1186

    Article  Google Scholar 

  • Hoek E, Brown ET (1980) Underground excavations in rock. Institution of Mining and Metallurgy, London

  • ISRM (1985) Suggested methods for determining point load strength. Int J Rock Mech Min Sci Geomech Abstr 22(2):51–60

    Google Scholar 

  • Karakus M, Kumral M, Kilic O (2005) Predicting elastic properties of intact rocks from index tests using multiple regression modelling. IntJ Rock Mech Min Sci 42(2):323–330

    Article  Google Scholar 

  • Labuz JF, Zang A (2012) Mohr–Coulomb failure criterion. Rock MechRock Eng 45(6):975–979

    Article  Google Scholar 

  • Mark C, Molinda GM (2005) The coal mine roof rating (CMRR)—a decade of experience. Int J Coal Geol 64(1–2):85–103

    Article  Google Scholar 

  • Priest S (2012) Three-dimensional failure criteria based on the Hoek–Brown criterion. Rock Mech Rock Eng 45(6):989–993

    Article  Google Scholar 

  • RocData (2012) Rocdata 4.0. http://www.rocscience.com/products/4/RocData

  • Schwartz AE (1964) Failure of rock in the triaxial shear test. In: Proceedings of the 6th US rock mechanics symposium. pp 109–135

  • Sheorey PR (1997) Empirical rock failure criteria. Balkema, Rotterdam

  • Singh M, Raj A, Singh B (2011) Modified Mohr–Coulomb criterion for non-linear triaxial and polyaxial strength of intact rocks. Int J Rock Mech Min Sci 48:546–555

    Article  Google Scholar 

  • Singh M, Singh B (2005) A strength criterion based on critical state mechanics for intact rocks. Rock Mech Rock Eng 38:243–248

    Article  Google Scholar 

  • Ulusay R, Hudson JA, ISRM (2007) The complete ISRM suggested methods for rock characterization, testing and monitoring: 1974–2006. In: Ulusay R, Hudson JA (eds) Commission on testing methods. International Society of Rock Mechanics. Compilation arranged by the ISRM Turkish National Group, Ankara, Turkey, p 628

  • Zare-Naghadehi M, Jimenez R, KhaloKakaie R, Jalali S-ME (2011) A probabilistic systems methodology to analyze the importance of factors affecting the stability of rock slopes. Eng Geol 118(3–4):82–92

    Article  Google Scholar 

Download references

Acknowledgments

The PhD scholarship provided by China Scholarship Council (CSC) to the first author is gratefully acknowledged. We are also indebted to two anonymous reviewers for their comments, which greatly helped us to improve the manuscript. In particular, much of the discussions about the reliability of the model, as well as on Coulomb’s failure theory, are based on their feedback.

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Correspondence to Rafael Jimenez.

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Shen, J., Jimenez, R., Karakus, M. et al. A Simplified Failure Criterion for Intact Rocks Based on Rock Type and Uniaxial Compressive Strength. Rock Mech Rock Eng 47, 357–369 (2014). https://doi.org/10.1007/s00603-013-0408-5

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  • DOI: https://doi.org/10.1007/s00603-013-0408-5

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