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A nonlinear deformation modulus based on rock mass classification

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Summary

This paper describes the development of an empirical nonlinear stress dependent expression for the deformation modulus of rock masses based on rock mass classification. The expression defines the deformation modulus as the ratio of the deviator stress at failure to the major principal strain at failure. The Hoek and Brown failure criterion is used to predict the deviator stress at failure. Research was directed toward developing a failure criterion defining the major principal strain at failure. The expression for the deformation modulus was extended to rock mass conditions through correlations with observed deformations from case history studies and predicted deformations from finite element analyses.

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References

  • Barton, N., Lien, R., and Lunde, J. (1974) Engineering classification of rock masses for the design of tunnel support,Rock Mechanics,6, 183–236.

    Google Scholar 

  • Bieniawski, Z.T. (1978) Determinating rock mass deformability: experience from case histories,International Journal of Rock Mechanics and Mining Sciences,15, 237–48.

    Google Scholar 

  • Bieniawski, Z.T. (1979) The Geomechanics Classification in Rock Engineering Applications,Proceedings of the 4th International Congress on Rock Mechanics, ISRM, Montreaux, 1979, Vol.2, pp. 41–48.

    Google Scholar 

  • Brown, E.T. and Hoek, E. (1988) Determination of shear failure envelope in rock masses, discussion,J. Geotech. Engng, American Society of Civil Engineers,114, 371–3.

    Google Scholar 

  • Donaghe, R.T. and Cohen, M. W. (1978) Strength and deformation properties of rock fill, technical report S-78-1, US Army Engineer Waterways Experiment Station, Vicksburg, MS.

    Google Scholar 

  • Herrmann, L.R. and Mish, K.D. (1983) Finite Element Analysis for Cohesive Soil, Stresses and Consolidation Problems Using Bounding Surface Plasticity Theory, Department of Civil Engineering Laboratory, Naval Construction Battalion Center, Port Hueneme, CA, Order No. N62583-83-MT062.

  • Hoek, E. and Brown, E.T. (1980) Empirical strength criterion for rock masses,J. Geotechn. Engng, American Society of Civil Engineers,106 (GT9), 1013–35.

    Google Scholar 

  • Mallet, C. and Pacquant, J. (1951)Les Barrages en Terre, Parie, Eyrolles.

    Google Scholar 

  • Marachi, A.M., Chan, C.K., and Seed, H.R. (1972) Evaluation of Properties of Rockfill Materials,J. Soil Mechanics and Foundations Division, American Society of Civil Engineers,98 (SM1), 95–114.

    Google Scholar 

  • Mish, K.D. and Herrmann, L.R. (1983) User's Manual for SAC-3, A Three-Dimensional Nonlinear, Time Dependent Soil Analysis Code Using the Bounding Surface Plasticity Model, Department of Civil Engineering, University of California, Davis Report to: Civil Engineering, Laboratory, Naval Construction Battalion Center, Port Hueneme, CA, Order No. N62583-38-M-T062.

  • Nicholson, G.A. (1983).In Situ and Laboratory Shear Devices for Rock: A Comparison, Technical Report GL-84-14, US Army Engineer Waterways Experiment Station, Vicksburg, MS.

    Google Scholar 

  • Nicholson, G.A. (1989). An Empirical Nonlinear Stress Dependent Constitutive Relationship for Rock Masses Based on Rock Mass Classification, Ph.D. thesis, The Pennsylvania State University.

  • Nicholson, G.A. and Bieniawski, Z.T. (1986) An Empirical Constitutive Relationship for Rock Masses,Proceedings of the 27th US Symposium on Rock Mechanics, University of Alabama, 760–6.

  • Owens, D. R.J. and Hinton, E. (1980).Finite Elements in Plasticity-Theory and Practice, Pineridge Press, Swansea.

    Google Scholar 

  • Priest, S.D. and Brown, B.E. (1983) Probabilistic Stability Analysis of Variable Rock Slopes,Mining Industry, Transactions, Section A, Institution of Mining and Metallurgy, London,92, 1–12.

    Google Scholar 

  • Scholz, C.H. (1968) Microfracturing and the Inelastic Deformation of Rock in Compression,Proceedings, International Tunneling Symposium, Tokyo.

  • Serafin, J.L. and Pereira, J.P. (1983) Considerations of the Geomechanics Classification of Bieniawski,Proceedings, International Symposium on Engineering Geology and Underground construction, Laboratorio National De Engenharia Civil, Lisbon,1, Theme 2, pp. 25–42.

    Google Scholar 

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Nicholson, G.A., Bieniawski, Z.T. A nonlinear deformation modulus based on rock mass classification. International Journal of Mining and Geological Engineering 8, 181–202 (1990). https://doi.org/10.1007/BF01554041

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