Authors: Brown, ET


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Brown, ET 2008, 'Estimating the Mechanical Properties of Rock Masses', in Y Potvin, J Carter, A Dyskin & R Jeffrey (eds), Proceedings of the First Southern Hemisphere International Rock Mechanics Symposium, Australian Centre for Geomechanics, Perth, pp. 3-22.

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Abstract:
Reliably estimating the mechanical properties of discontinuous rock masses remains one of the greatest challenges faced in the discipline of rock mechanics. This paper discusses the development, uses and limitations of the Hoek–Brown empirical rock and rock mass strength criterion, some of the extensions made to the criterion by others, and associated methods of estimating rock mass deformabilities. Extreme care must be taken in extending the use of these approaches beyond reasonable limits. Modern methods of predicting the engineering responses of rocks and rock masses using advanced numerically-intensive methods provide a sound and promising basis for developing improved understandings of the engineering responses of rock masses and for making improved predictions of rock mass properties and performance.

References:
Alejano, L.R. and Alonso, E. (2005) Considerations of the dilatancy angle in rocks and rock masses. International Journal of Rock Mechanics and Mining Sciences, 42(4), pp. 481–507.
Alemdag, S., Gurocak, Z., Solanki, P. and Zaman, M. (2008) Estimation of bearing capacity of basalts at the Atasu dam site, Turkey. Bulletin of Engineering Geology and the Environment, 67(1), pp. 79–85.
Amadei, B. (1988) Strength of a regularly jointed rock mass under biaxial and axisymmetric loading conditions. International Journal of Rock Mechanics and Mining Sciences, 25(1), pp. 3–13.
Barton, N. (2002) Some new Q-value correlations to assist in site characterisation and tunnel design. International Journal of Rock Mechanics and Mining Sciences, 39(2), pp. 185–216.
Barton, N., Lein, R. and Lunde, J. (1974) Engineering classification of rock masses for design of tunnel support. Rock Mechanics, 6(4), pp. 189–236.
Beck, D., Reusch, F., Arndt, S., Thin, I., Stone, C., Heap, M. and Tyler, D. (2006) Numerical modelling of seismogenic development during cave initiation, propagation and breakthrough. Deep and High Stress Mining 2006, Hassani (editor), Balkema, Rotterdam, pp. 405–414.
Benz, T., Schwab, R., Kauther, R.A. and Vermeer, P.A. (2008) A Hoek–Brown criterion with intrinsic material strength factorization. International Journal of Rock Mechanics and Mining Sciences, 45(2), pp. 210–222.
Bieniawski, Z.T. (1976) Rock mass classification in rock engineering. Exploration for Rock Engineering, Proceedings Symposium on Exploration, Bieniawski (editor), Balkema, Cape Town, 1, pp. 97–106.
Bieniawski, Z.T. (1978) Determining rock mass deformability: experience from case histories. International Journal of Rock Mechanics and Mining Sciences, 15(5), pp. 237–247.
Brady, B.H.G. and Brown, E.T. (2004) Rock Mechanics for Underground Mining, 3rd edition. Kluwer, Dordrecht, 628 p.
Brown, E.T. (1970) Strength of models of rock with intermittent joints. Journal of the Soil Mechanics and Foundations Division, ASCE, 96(SM6), pp. 1935–1949.
Brown, E.T. (1984) The stress–strain behaviour of jointed rock masses. Proceedings 6th National Rock Mechanics Symposium, Wittke (editor), Geotechnik Special Issue, pp. 13–20.
Brown, E.T. (2004) The mechanics of discontinua: engineering in discontinuous rock. Proceedings 9th Australia New Zealand Conference on Geomechanics. Farquar, Kelsy, Marsh and Fellows (editors), New Zealand Geotechnical Society, Auckland, 1, pp. 51–72.
Brown, E.T. (2007) Fifth Müller Lecture. Rock mechanics – the basic mining science: challenges in underground mass mining. Proceedings 11th Congress of the International Society for Rock Mechanics, Ribeiro e Sousa, Ollala and Grossmann (editors), Taylor and Francis, Leiden, 3, pp. 1335-1346.
Brown, E.T. and Marley, M. (2008) Estimating rock mass properties for stability analyses of new and existing dams. Proceedings International Symposium on Operation, Rehabilitation and Up-grading of Dams, 76th Annual Meeting of ICOLD (in press).
Brown, E.T. and Trollope, D.H. (1970) Strength of a model of jointed rock. Journal of the Soil Mechanics and Foundations Division, ASCE, 96(SM2), pp. 685–704.
Cai, M. (2008a) Influence of intermediate principal stress on rock fracturing and strength near excavation boundaries – insight from numerical modelling. International Journal of Rock Mechanics and Mining Sciences, 45(5), pp. 763–772.
Cai, M. (2008b) Influence of stress path on tunnel excavation response – numerical tool selection and modelling strategy. Tunnelling and Underground Space Technology, 23 (in press).
Cai, M., Kaiser, P.K., Tasaka, Y. and Minami, M. (2007) Determination of residual strength parameters of jointed rock masses using the GSI system. International Journal of Rock Mechanics and Mining Sciences, 44(2), pp. 247–265.
Cai, M., Kaiser, P.K., Tasaka, Y., Maejima, T., Morioka, H. and Minami, M. (2004a) Generalised crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations. International Journal of Rock Mechanics and Mining Sciences, 41(5), pp. 833–847.
Cai, M., Kaiser, P.K., Uno, H., Tasaka, Y. and Minami, M. (2004b) Estimation of rock mass strength and deformation modulus of jointed hard rock masses using the GSI system. International Journal of Rock Mechanics and Mining Sciences, 41(1), pp. 3–19.
Carranza-Torres, C. (2004) Some comments on the application of the Hoek–Brown failure criterion for intact rock and for rock masses to the solution of tunnel and slope excavation problems. Proceedings, MIR 2004 – X Conference on Rock and Engineering Mechanics, Barla and Barla (editors), Pàtron Editore, Bologna, pp. 285–326.
Carranza-Torres, C. and Fairhurst, C. (1999) The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek–Brown failure criterion. International Journal of Rock Mechanics and Mining Sciences, 36(6), pp. 777–809.
Carter, T.G., Diederichs, M.S. and Carvalho, J.L. (2007) A unified procedure for prediction of strength and post yield behaviour for rockmasses at the extreme ends of the rock competency scale. Proceedings 11th Congress of the International Society for Rock Mechanics, Ribeiro e Sousa, Olalla and Grossmann (editors), Taylor and Francis, Leiden, 1, pp. 161–164.
Carter, T.G., Diederichs, M.S. and Carvalho, J.L. (2008) Application of modified Hoek–Brown transition relationships for assessing strength and post yield behaviour at both ends of the rock competence scale. Proceedings 6th International Symposium on Ground Support in Mining and Civil Engineering Construction, Stacey and Malan (editors), SAIMM, Johannesburg, pp. 37–60.
Carvalho, J.L., Carter, T.G. and Diederichs, M.S. (2007) An approach for prediction of strength and post-yield behaviour for rock masses of low intact strength. Rock Mechanics: Meeting Society’s Challenges and Demands, Proceedings 1st Canada – U.S. Rock Mechanics Symposium, Eberhardt, Stead and Morrison (editors), Taylor and Francis, Leiden, 1, pp. 249–257.
Clausen, J. and Damkilde, L. (2008) An exact implementation of the Hoek–Brown criterion for elasto-plastic finite element calculations. International Journal of Rock Mechanics and Mining Sciences, 45 (6), pp. 831–847.
Cook, N.G.W. (1965) The failure of rock. International Journal of Rock Mechanics and Mining Sciences, 2(4), pp. 389–403.
Crowder, J.J. and Bawden, W.F. (2004) Review of post-peak parameters and behaviour of rock masses: current trends and research. Rocnews, Fall, 2004, 14 p., viewed on 15 May 2008, .
Crowder, J.J. and Bawden, W.F. (2006) The estimation of post-peak rock mass properties: numerical back analysis calibrated using in situ instrumentation data. Rocnews, Winter 2006, 32 p., viewed on 15 May 2008, .
Cundall, P., Carranza-Torres, C. and Hart, R. (2003) A new constitutive model based on the Hoek–Brown criterion. FLAC and Numerical Modeling in Geomechanics 2003, Proceedings 3rd International FLAC Symposium, Brummer, Andrieux, Detournay and Hart (editors), Balkema, Lisse, pp. 17–25.
Deere, D.U. (1968) Geological considerations. Rock Mechanics in Engineering Practice, Stagg and Zienkiewicz (editors), John Wiley, London, pp. 1–20.
Dershowitz, W. (1995) Interpretation and synthesis of discrete fracture orientation, size, shape, spatial structure and hydrologic data by forward modeling. Fractured and Jointed Rock Masses, Myer, Cook, Goodman and Tsang (editors), Balkema, Rotterdam, pp. 579–586.
Detournay, E. (1986) Elastoplastic model of a deep tunnel for a rock with variable dilatancy. Rock Mechanics and Rock Engineering, 19(2), pp. 99–108.
Diederichs, M.S., Kaiser, P.K. and Eberhardt, E. (2004) Damage initiation and propagation in hard rock during tunnelling and the influence of near-face stress rotation. International Journal of Rock Mechanics and Mining Sciences, 41(5), pp. 785–812.
Diederichs, M.S., Carvalho, J.L. and Carter, T.G. (2007) A modified approach for prediction of strength and post-yield behaviour for high GSI rock masses in strong, brittle rock. Rock Mechanics: Meeting Society’s Challenges and Demands, Proceedings 1st Canada – U.S. Rock Mechanics Symposium, Eberhardt, Stead and Morrison (editors), Taylor and Francis, Leiden, 1, pp. 277–285.
Douglas, K.J. and Mostyn, G. (2004) The shear strength of rock masses. Proceedings 9th Australia New Zealand Conference on Geomechanics, Farquar, Kelsy, Marsh and Fellows (editors), New Zealand Geotechnical Society, Auckland, 1, pp. 166–172.
Elliott, G.M. and Brown, E.T. (1985) Yield of a soft, high porosity rock. Géotechnique, 35(4), pp. 413–423.
Fell, R., MacGregor, P., Stapledon, D. and Bell, G. (2005) Geotechnical Engineering of Dams. Balkema, Leiden, 912 p.
Ford, N.T., Pine, R.J. and Flynn, Z.N. (2007) Discrete fracture network modelling and characterisation of rock masses for block caving design. Proceedings 11th Congress of the International Society for Rock Mechanics, Ribeiro e Sousa, Ollala and Grossmann (editors), Taylor and Francis, Leiden, 1, pp. 231–236.
Hoek, E. (1968) Brittle failure of rock. Rock Mechanics in Engineering Practice, Stagg and Zienkiewicz (editors), Wiley, London, pp. 99–124.
Hoek, E. (1983) Strength of jointed rock masses. Géotechnique, 33(3), pp. 187–223.
Hoek, E. (1994) Strength of rock and rock masses. ISRM News Journal, 2(2), pp. 4–16.
Hoek, E. (2007) Rock mass properties. Practical Rock Engineering, viewed on 15 May 2008, .
Hoek, E. and Brown, E.T. (1980a) Underground Excavations in Rock. Institution of Mining and Metallurgy, London, 527 p.
Hoek, E. and Brown, E.T. (1980b) Empirical strength criterion for rock masses. Journal of the Geotechnical Engineering Division, ASCE, 106(GT9), pp. 1013–1035.
Hoek, E. and Brown, E.T. (1988) The Hoek–Brown failure criterion – a 1988 update. Rock Engineering for Underground Excavations, Proceedings 15th Canadian Rock Mechanics Symposium, Curran (editor), Department of Civil Engineering, University of Toronto, Toronto, pp. 31–38.
Hoek, E. and Brown, E.T. (1997) Practical estimates of rock mass strength. International Journal of Rock Mechanics and Mining Sciences, 34(8), pp. 1165–1186.
Hoek, E., Carranza-Torres, C. and Corkum, B. (2002) Hoek–Brown failure criterion – 2002 edition. Mining and Tunnelling Innovation and Opportunity, Proceedings 5th North American Rock Mechanics Symposium and 17th Tunnelling Association of Canada Conference, Hammah, Bawden, Curran and Telesnicki (editors), University of Toronto, Toronto, 1, pp. 267–273.
Hoek, E. and Diederichs, M.S. (2006) Empirical estimation of rock mass modulus. International Journal of Rock Mechanics and Mining Sciences, 43(2), pp. 203–215.
Hoek, E., Kaiser, P.K. and Bawden, W.F. (1995) Support of Underground Excavations in Hard Rock. Balkema, Rotterdam, 215 p.
Hoek, E. and Karzulovic, A. (2000) Rock-mass properties for surface mines. Slope Stability for Surface Mining, Hustrulid, McCarter and Van Zyl (editors), SME, Littleton, pp. 59–69.
Hoek, E. and Marinos, P. (2007) A brief history of the development of the Hoek–Brown failure criterion. Soils and Rocks, No 2, November.
Hoek, E., Marinos, P. and Benissi, M. (1998) Applicability of the Geological Strength Index (GSI) classification for very weak and sheared rock masses. The case of the Athens schist formation. Bulletin of Engineering Geology and the Environment, 57(2), pp. 151–160.
Hoek, E., Wood, D. and Shah, S. (1992) A modified Hoek–Brown criterion for jointed rock masses. Rock Characterization, Proceedings ISRM Symposium, Eurock ’92, Hudson (editor), British Geotechnical Society, London, pp. 209–214.
Jaeger, J.C. (1960) Shear failure of anisotropic rocks. Geological Magazine, 97, pp. 65–72.
Jaeger, J.C. (1970) Behavior of closely jointed rock. Rock Mechanics – Theory and Practice, Proceedings 11th Symposium on Rock Mechanics, Somerton (editor), AIME, New York, pp. 57–68.
Jaeger, J.C. and Cook, N.G.W. (1969) Fundamentals of Rock Mechanics. Methuen, London, 513 p.
John, K.W. (1962) An approach to rock mechanics. Journal of the Soil Mechanics and Foundations Division, ASCE, 88(SM4), pp. 1–30.
John, K.W. (1970) Civil engineering approach to evaluate strength and deformability of regularly jointed rock. Rock Mechanics – Theory and Practice, Proceedings 11th Symposium on Rock Mechanics, Somerton (editor), AIME, New York, pp. 69–80.
Johnston, I.W. and Chiu, H.K. (1984) Strength of weathered Melbourne mudstone. Journal of Geotechnical Engineering, ASCE, 110(7), pp. 875–898.
Kaiser, P.K. (2006) Rock mechanics considerations for construction of deep tunnels in brittle rock. Rock Mechanics in Underground Construction, Proceedings 4th Asian Rock Mechanics Symposium, Leung and Zhou (editors), World Scientific Publishing Company, Singapore, pp. 47–58.
Kaiser, P.K., Diederichs, M.S., Martin, C.D., Sharp, J. and Steiner, W. (2000) Underground works in hard rock tunnelling and mining. Proceedings GeoEng 2000, Technomic Publishing Company, Lancaster, Pennsylvania, 1, pp. 841–926.
Ladanyi, B. and Archambault, G. (1970) Simulation of shear behaviour of a jointed rock mass. Rock Mechanics – Theory and Practice, Proceedings 11th Symposium on Rock Mechanics, Somerton (editor), AIME, New York, pp. 105–125.
Li, A.J., Merifield, R.S. and Lyamin, A.V. (2008) Stability charts for rock slopes based on the Hoek–Brown failure criterion. International Journal of Rock Mechanics and Mining Sciences, 45(5), pp. 689–700.
Londe, P. (1988) Discussion on “Determination of shear failure envelope in rock masses” by R. Ucar. Journal of the Geotechnical Engineering Division, ASCE, 114(3), pp. 374–376.
Maghous, S., Bernaud, D., Fréard, J. and Garnier, D. (2008) Elastoplastic behaviour of jointed rock masses as homogenized media and finite element analysis. International Journal of Rock Mechanics and Mining Sciences, 45 (in press).
Marinos, P. and Hoek, E. (2001) Estimating the geotechnical properties of heterogeneous rock masses such as flysch. Bulletin of Engineering Geology and the Environment, 60(2), pp. 85–92.
Marinos, P., Hoek, E. and Marinos, V. (2006) Variability of the engineering properties of rock masses quantified by the geological strength index: the case of ophiolites with special emphasis on tunnelling. Bulletin of Engineering Geology and the Environment, 65(2), pp. 129–142.
Marinos, P., Marinos, V. and Hoek, E. (2007) The Geological Strength Index (GSI): a characterization tool for assessing engineering properties for rock masses. Proceedings International Workshop on Rock Mass Classification for Underground Mining, Mark, Pakalnis and Tuchman (editors), Information Circular 9498, NIOSH, Pittsburgh, pp. 87–94.
Marley, M., Dryden, G., Eades, G., Brown, E. and Huftile, G. (2007) The geotectonics and geotechnics of the Traveston Crossing Dam foundation. Dams – Securing Water for Our Future, Proceedings NZSOLD ANCOLD 2007 Conference, McSaveney (editor), IPENZ Proceedings of Technical Groups, 33(1LD), pp. 309–318.
Martin, C.D. (1997) Seventeenth Canadian Geotechnical Colloquium: the effect of cohesion loss and stress path on brittle rock strength. Canadian Geotechnical Journal, 34(5), pp. 698–725.
Martin, C.D., Kaiser, P.K. and McCreath, D.R. (1999) Hoek–Brown parameters for predicting the depth of brittle failure around tunnels. Canadian Geotechnical Journal, 36(1), pp. 136–151.
Mas Ivars, D., Deisman, N., Pierce, M. and Fairhurst, C. (2007) The Synthetic Rock Mass approach – a step forward in the characterization of jointed rock masses. Proceedings 11th Congress of the International Society for Rock Mechanics, Ribeiro e Sousa, Ollala and Grossmann (editors), Taylor and Francis, Leiden, 1, pp. 485–490.
Medhurst, T.P. and Brown, E.T. (1998) A study of the mechanical behaviour of coal for pillar design. International Journal of Rock Mechanics and Mining Sciences, 35(8), pp. 1087–1105.
Merifield, R.S., Lyamin, A.V. and Sloan, S.W. (2006) Limit analysis solutions for the bearing capacity of rock masses using the generalised Hoek–Brown criterion. International Journal of Rock Mechanics and Mining Sciences, 43(6), pp. 920–937.
Mostyn, G. and Douglas, K. (2000) Strength of intact rock and rock masses. Proceedings GeoEng 2000, Technomic Publishing Company, Lancaster, Pennsylvania, 1, pp. 1389–1421.
Müller, L. (1964) Application of rock mechanics in the design of rock slopes. State of Stress in the Earth’s Crust, Judd (editor), American Elsevier, New York, pp. 575–598.
Owen, D.R.J., Feng, Y.T., de Souza Neto, E.A., Cottrell, M.G., Wang, F., Andrade Pires, F.M. and Yu, J. (2004) The modelling of multi-fracturing solids and particulate media. International Journal of Numerical Methods in Engineering, 60(1), pp. 317–340.
Pan, X.D. and Hudson, J.A. (1988) A simplified three-dimensional Hoek–Brown yield criterion. Rock Mechanics and Power Plants, Romana (editor), Balkema, Rotterdam, 1, pp. 95–103.
Pells, P.J.N. (2008) What happened to the mechanics in rock mechanics and the geology in engineering geology? Proceedings 6th International Symposium on Ground Support in Mining and Civil Engineering Construction, Stacey and Malan (editors), SAIMM, Johannesburg, pp. 1–36.
Pierce, M., Cundall, P., Potyondy, D. and Mas Ivars, D. (2007) A synthetic rock mass model for jointed rock. Rock Mechanics: Meeting Society’s Challenges and Demands, Proceedings 1st Canada – U.S. Rock Mechanics Symposium, Eberhardt, Stead and Morrison (editors), Taylor and Francis, Leiden, 1, pp. 341–349.
Pine, R.J., Coggan, J.S., Flynn, Z.N. and Elmo, D. (2006) The development of a new numerical modelling approach for naturally fractured rock masses. Rock Mechanics and Rock Engineering, 39(5), pp. 395–419.
Pine, R.J., Owen, D.R.J., Coggan, J.S. and Rance, J.M. (2007) A new discrete fracture modelling approach for rock masses. Géotechnique, 57(9), pp. 757–766.
Potyondy, D.O. and Cundall, P.A. (2004) A bonded-particle model for rock. International Journal of Rock Mechanics and Mining Sciences, 41(8), pp. 1329–1364.
Priest, S.D. (2005) Determination of shear strength and three-dimensional yield strength for the Hoek–Brown criterion. Rock Mechanics and Rock Engineering, 38(4), pp. 299–327.
Priest, S.D. and Brown, E.T. (1983) Probabilistic stability analysis of variable rock slopes. Transactions of the Institution of Mining and Metallurgy (Section A: Mining Industry), 92, January, pp. A1–12.
Read, J.R.L. (2007) Rock slope stability research. Slope Stability 2007, Proceedings 2007 International Symposium on Rock Slope Stability in Open Pit Mining and Civil Engineering, Potvin (editor), Australian Centre for Geomechanics, Perth, pp. 355–359.
Read, S. and Richards, L. (2007) Design inputs for stability assessment of dams on New Zealand greywackes. Dams – Securing Water for Our Future, Proceedings NZSOLD ANCOLD 2007 Conference, McSaveney (editor), IPENZ Proceedings of Technical Groups, 33(1LD), pp. 319–329.
Reik, G. and Zacas, M. (1978) Strength and deformation characteristics of jointed media in true triaxial compression. International Journal of Rock Mechanics and Mining Sciences, 15(6), pp. 295–303.
Reyes-Montes, J.M., Pettitt, W.S. and Young, R.P. (2007) Validation of a Synthetic Rock Mass model using excavation induced seismicity. Rock Mechanics: Meeting Society’s Challenges and Demands, Proceedings 1st Canada – U.S. Rock Mechanics Symposium, Eberhardt, Stead and Morrison (editors), Taylor and Francis, Leiden, 1, pp. 365–369.
Rocscience. (2007) RocLab v 1.0, viewed on 15 May 2008, .
Rogers, S.F., Kennard, D.K., Dershowitz, W.S. and van As, A. (2007) Characterising the in situ fragmentation of a fractured rock mass using a discrete fracture network approach. Rock Mechanics: Meeting Society’s Challenges and Demands, Proceedings 1st Canada – U.S. Rock Mechanics Symposium, Eberhardt, Stead and Morrison (editors), Taylor and Francis, Leiden, 1, pp. 131–142.
Saroglou, H. and Tsiambaos, G. (2008) A modified Hoek–Brown failure criterion for anisotropic intact rock. International Journal of Rock Mechanics and Mining Sciences, 45(2), pp. 223–234.
Serafim, J.L. and Periera, J.P. (1983) Considerations of the geomechanical classification of Bieniawski. Proceedings International Symposium on Engineering Geology and Underground Construction, SPG/LNEC, Lisbon, 1, pp. II.33–42.
Serrano, A., Estaire, J. and Olalla, C. (2007) Extension of the Hoek–Brown failure criterion to three dimensions. Proceedings 11th Congress of the International Society for Rock Mechanics, Ribeiro e Sousa, Ollala and Grossmann (editors), Taylor and Francis, Leiden, 1, pp. 289–292.
Serrano, A., Olalla, C. and González, J. (2000) Ultimate bearing capacity of rock masses based on the modified Hoek–Brown criterion. International Journal of Rock Mechanics and Mining Sciences, 37(6), pp. 1013–1018.
Serrano, A., Olalla, C. and Manzanas, J. (2005) Stability of highly fractured infinite rock slopes with nonlinear failure criteria and nonassociated flow laws. Canadian Geotechnical Journal, 42(2), pp. 393–411.
Trollope, D.H. (1968) The mechanics of discontinua or clastic mechanics in rock problems. Rock Mechanics in Engineering Practice, Stagg and Zienkiewicz (editors), Wiley, London, pp. 275–320.
Ucar, R. (1986) Determination of shear failure envelope in rock masses. Journal of Geotechnical Engineering, ASCE, 112(3), pp. 303–315.
Wawersik, W.R. and Fairhurst, C. (1970) A study of brittle rock fracture in laboratory compression experiments. International Journal of Rock Mechanics and Mining Sciences, 7(5), pp. 561–575.
Yoshinaka, R., Osada, M., Park, H., Tasaki, T. and Sasaki, K. (2008) Practical determination of mechanical design parameters of intact rock considering scale effect. Engineering Geology, 96(3–4), pp. 173–186.
Yu, H-S. (2006) Plasticity and Geotechnics. Springer, New York, 522 p.
Zuo, J-P., Li, H-T., Xie, H-P., Ju, Y. and Peng, S-P. (2008) A nonlinear strength criterion for rock-like materials based on fracture mechanics. International Journal of Rock Mechanics and Mining Sciences, 45(5), pp. 594–599.




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