Abstract
High geostresses and stress gradients are the predominant stress conditions in deep excavation-disturbed rock masses. The aim of this study is to determine the triaxial compressive strength properties of hollow cylindrical granite specimens under a radially non-uniform confining stress field with different radial stress gradients determined by coupled external and internal confining stresses. Triaxial compression testing of hollow cylindrical rock specimens was performed to investigate the influence of the radial stress gradient, external confining stress and specimen length-to-diameter (L/D) ratio on the triaxial compressive strength. The experimental results and regressed failure criteria indicate that the triaxial compressive strengths of the hollow cylindrical granite specimens increase with the external confining stresses, but decrease with an increase in the radial stress gradients. The calculated goodness of fit (R2) and root-mean-squared error suggest that the nonlinear failure criterion based on the Hoek–Brown model is more accurate than the linear failure criterion based on the Mohr–Coulomb model for determining the influences of the external confining stress and radial stress gradient on the triaxial compressive strength. In addition, the triaxial compressive strength increases with a decreasing L/D ratio due to the strengthening end effect of the hollow cylindrical granite specimens and the change in the failure pattern of these specimens from shear to slabbing.
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Alsayed MI (2002) Utilising the Hoek triaxial cell for multiaxial testing of hollow rock cylinders. Int J Rock Mech Min Sci 39(3):355–366
Bieniawski Z, Bernede M (1979) Suggested methods for determining the uniaxial compressive strength and deformability of rock materials: Part I. Suggested method for determining deformability of rock materials in uniaxial compression. Int J Rock Mech Min Sci Geomech Abstr 16:138–140
Brady BH, Brown ET (2006) Rock mechanics: for underground mining. Springer, Dordrecht
Cai M, Kaiser PK (2014) In-situ rock spalling strength near excavation boundaries. Rock Mech Rock Eng 47(2):659–675
Cantieni L, Anagnostou G (2009) The effect of the stress path on squeezing behavior in tunneling. Rock Mech Rock Eng 42(2):289–318
Cao W, Li X, Tao M, Zhou Z (2016) Vibrations induced by high initial stress release during underground excavations. Tunn Undergr Space Technol 53:78–95
Dinis da Gama C (2012) The hollow cylinder test as an alternative to true triaxial loading of prismatic rock specimens. In: Kwasniewski M, Li X, Takahashi M (eds) True triaxial testing of rocks. CRC Press, Boca Raton, pp 73–82
Drucker DC, Prager W (1952) Soil mechanics and plastic analysis or limit design. Q Appl Math 10(2):157–165
Du K, Tao M, Li XB, Zhou J, (2016) Experimental study of slabbing and rockburst induced by true-triaxial unloading and local dynamic disturbance. Rock Mech Rock Eng 49 (9):3437–3453
Fairhurst CE, Hudson JA (1999) Draft ISRM suggested method for the complete stress–strain curve for intact rock in uniaxial compression. Int J Rock Mech Min Sci 36(3):279–289
Franklin JA (1971) Triaxial strength of rock materials. Rock Mech 3(2):86–98
Han L, He Y, Zhang H (2016) Study of rock splitting failure based on griffith strength theory. Int J Rock Mech Min Sci 83:116–121
Handin J, Heard HA, Magouirk JN (1967) Effects of the intermediate principal stress on the failure of limestone, dolomite, and glass at different temperatures and strain rates. J Geophys Res 72(2):611–640
Heuze FE (1980) Scale effects in the determination of rock mass strength and deformability. Rock Mech 12(3–4):167–192
Hoek E, Brown ET (1980) Underground excavations in rock. Institution of Mining and Metallurgy, London
Hoek E, Brown ET (1997) Practical estimates of rock mass strength. Int J Rock Mech Min Sci 34(8):1165–1186
Hoek E, Martin CD (2014) Fracture initiation and propagation in intact rock—a review. J Rock Mech Geotech Eng 6(4):287–300
Hoskins ER (1969) The failure of thick-walled hollow cylinders of isotropic rock. Int J Rock Mech Min Sci Geomech Abstr 6(1):99–125
Hua AZ, You MQ (2001) Rock failure due to energy release during unloading and application to underground rock burst control. Tunn Undergr Space Technol 16(3):241–246
Jaeger JC, Cook NGW, Zimmerman RW (2007) Fundamentals of rock mechanics. Wiley, New York
Lee DH, Juang CH, Chen JW, Lin HM, Shieh WH (1999) Stress paths and mechanical behavior of a sandstone in hollow cylinder tests. Int J Rock Mech Min Sci 36(7):857–870
Li D, Li CC, Li X (2011) Influence of sample height-to-width ratios on failure mode for rectangular prism samples of hard rock loaded in uniaxial compression. Rock Mech Rock Eng 44(3):253–267
Li X, Cao W, Zhou Z, Zou Y (2014) Influence of stress path on excavation unloading response. Tunn Undergr Space Technol 42:237–246
Li X, Wang S, Wang S (2018) Experimental investigation of the influence of confining stress on hard rock fragmentation using a conical pick. Rock Mech Rock Eng 51(1):255–277
Li X, Wu Q, Dong L, Chen L, Xie X, Zhang C (2015) Mechanical property of thick-walled hollow cylinders of sandstone with filling. Chin J Geotech Eng 37(12):2149–2156
Martin CD, Maybee WG (2000) The strength of hard-rock pillars. Int J Rock Mech Min Sci 37(8):1239–1246
Martino JB, Chandler NA (2004) Excavation-induced damage studies at the underground research laboratory. Int J Rock Mech Min Sci 41(8):1413–1426
Mogi K (2007) Experimental rock mechanics. CRC Press, London
Read RS (2004) 20 years of excavation response studies at AECL’s Underground Research Laboratory. Int J Rock Mech Min Sci 41(8):1251–1275
Sadd MH (2014) Elasticity: theory, applications, and numerics. Academic Press, Waltham
Shemyakin EI, Fisenko GL, Kurlenya MV, Oparin VN, Reva VN, Glushikhin FP, Rozenbaum MA, Tropp EA, Kuznetsov YS (1986) Zonal disintegration of rocks around underground workings, part 1: data of in situ observations. J Min Sci 22(3):157–168
Tao M, Li X, Wu C (2013) 3D numerical model for dynamic loading-induced multiple fracture zones around underground cavity faces. Comput Geotech 54:33–45
Wiebols GA, Cook NGW (1968) An energy criterion for the strength of rock in polyaxial compression. Int J Rock Mech Min Sci 5(6):529–549
Xu Y, Cai M, Zhang X, Feng XT (2017) Influence of end effect on rock strength in true triaxial compression test. Can Geotech J 54:862–880
Yang SQ (2016) Experimental study on deformation, peak strength and crack damage behavior of hollow sandstone under conventional triaxial compression. Eng Geol 213:11–24
Zhang H, He Y, Liu H, Han L, Shao P (2011) Ringlike failure experiment of thick-walled limestone cylinder specimens in triaxial unloading tests. Min Sci Technol (China) 21(3):445–450
Acknowledgements
The work described in this paper was supported by the State Key Research Development Program of China (2016YFC0600706), the National Natural Science Foundation of China (51504287, 51774326 and 41630642) and the Hunan Provincial Natural Science Foundation of China (2017JJ3390) as well as by a the China Postdoctoral Science Foundation funded project (2016M602432), for which the authors are very thankful. The corresponding author acknowledges the support of an open fund from the State Key Laboratory for Geomechanics and Deep Underground Engineering at the University of Mining and Technology-Beijing (SKLGDUEK1418).
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Wang, S., Li, X., Du, K. et al. Experimental Study of the Triaxial Strength Properties of Hollow Cylindrical Granite Specimens Under Coupled External and Internal Confining Stresses. Rock Mech Rock Eng 51, 2015–2031 (2018). https://doi.org/10.1007/s00603-018-1452-y
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DOI: https://doi.org/10.1007/s00603-018-1452-y