Abstract
A total of 28 uniaxial compressive strength tests were performed on cylindrical Blanco Mera granite samples with diameters ranging between 14 and 100 mm, with results indicating that this granite undergoes a significant reverse size effect: the UCS increases as sample diameter increases up to 54 mm, but thereafter decreases. It was also found that the results tend to be more scattered for smaller sample diameters. We also found an apparent correlation between Young’s modulus and sample diameter. It was not possible to draw any clear conclusions regarding the variability in Poisson’s ratio with sample size. With respect to crack initiation and crack damage stresses, the behaviour of the tested samples also indicates a reverse effect. This research would suggest that the traditionally assumed decrease in strength as sample size increases does not hold for granite samples with diameters below 54 mm.
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References
Alejano LR, González J, Muralha J (2012) Comparison of different techniques of tilt testing and basic friction angle variability assessment. Rock Mech Rock Eng 45:1023–1035
Andrade JE, Avila CF, Hall SA, Lenoir C, Viggiani G (2011) Multiscale modeling and characterization of granular matter: from grain kinematics to continuum mechanics. J Mech Phys Solids 59:237–250
Arzúa J, Alejano LR (2013) Dilation in granite during servo-controlled triaxial strength tests. Int J Rock Mech Min Sci 61:43–56
ASTM (2000) D7012 – 14. Standard Test Methods for Compressive Strength and Elastic Moduli of Intact Rock Core Specimens under Varying States of Stress and Temperatures
Bažant ZP (1984) Size effect in blunt fracture: concrete, rock and metal. J Eng Mech (ASCE) 110:518–535
Bažant ZP (1997) Scaling of quasi-brittle fracture: hypotheses of invasive and lacunar fractality, their critique and Weibull connection. Int J Fract 83:19–40
Bennett KC, Berla LA, Nix WD, Borja RI (2015) Instrumented nano-indentation and 3D mechanistic modeling of a shale at multiple scales. Acta Geotech 10:1–14
Bieniawski ZT (1967) The effect of specimen size on compressive strength of coal. Int J Rock Mech Min Sci 5:325–335
Brace WF (1964) Brittle fracture on rocks. Proc. Int. Conf., State of stress in the Earth’s Crust. (ed Judd), 111-180. Elsevier, New York
Brace WF, Paulding B, Scholz C (1966) Dilatancy in the fracture of crystalline rocks. J Geophys Res 71:3939–3953
Carpinteri A, Chiaia B, Ferro G (1995) Size effects on nominal tensile strength of concrete structures: multifractality of material ligaments and dimensional transition from order to disorder. Mater Struct 28:311–317
Cil MB, Buscarnera G (2016) DEM assessment of scaling laws capturing the grain size dependence of yielding in granular soils. Granul Matter 18:36. doi:10.1007/s10035-016-0638-9
Diederichs MS (2007) The 2003 CGS Geocolloquium Address: damage and spalling prediction criteria for deep tunnelling. Can Geotech J 44:1082–1116
Diederichs MS, Martin CD (2010) Measurement of spalling parameters from laboratory testing. In: Rock mechanics and environmental engineering. Paper presented at Proceedings of Eurock 2010; pp: 323–326. Lausanne, Switzerland
Duan K, Kwok CY, Tham LG (2015) Micromechanical analysis of the failure process of brittle rock. Int J for Numer and Anal Meth Geomech 39:618–634
Duan K, Kwok CY, Pierce M (2016) Discrete element method modeling of inherently anisotropic rocks under uniaxial compression loading. Int J for Numer Anal Meth Geomech 10:1150–1183
Eberhardt E, Stead D, Stimpson B, Read R (1998) Identifying crack initiation and propagation thresholds in brittle rocks. Can Geotech J 35:222–233
Esmaieli K, Hadjigeorgiou F, Grenon M (2015) Capturing the complete stress-strain behaviour of jointed rock using a numerical approach. Int J for Numer Anal Meth Geomech 39:1027–1044
Fairhurst C (1972) Fundamental considerations relating to the strength of rock. Technical Report Colloquium on Rock Fracture, Ruhr Universität, Bochum, Germany
Ghazvinian E, Diederichs M, Martin D (2012) Identification of crack damage thresholds in crystalline rock. In: Proceedings of EUROCK 2012. International Society for Rock Mechanics
Grégoire D, Verdon L, Lefort V, Grassl P, Saliba J, Regoin JP, Loukili A, Pijaudier-Cabot G (2015) Mesoscale analysis of failure in quasi-brittle materials: comparison between lattice model and acoustic emission data. Int J for Numer and Anal Meth Geomech 39:1639–1664
Griffith AA (1921) The phenomena of rupture and flow in solids. Phil Trans Roy Soc Lond A221:163–198
Griffith AA (1924) Theory of rupture. Proceeding 1st International Congress Applied Mechanics. Deft. 55–63
Hakala M, Heikkilä E (1997) Laboratory testing of Olkiluoto mica gneiss in borehole OL-KR10. Posiva Working Report 97-07e. Posiva Oy, Helsinki
Hawkins AB (1998) Aspects of rock strength. Bull Eng Geol Env 57:17–30
Hoek E, Brown ET (1980) Underground excavations in rock. IMM, London
ISRM (2007) The complete ISRM suggested methods for rock characterization, testing and monitoring: 1974–2006. R. Ulusay & J. A. Hudson (eds), Ankara, Turkey
Itasca Consulting Group (2010) PFC2D and PFC 3D user’s manual, ver. 4.0 and 3.0. Minneapolis: Minnesota
John M (1972) The influence of length to diameter ratio on rock properties in uniaxial compression: a contribution to standardization in rock mechanics testing. Rep S Afr CSIR No ME1083/5
Johnson KL (1985) Contact mechanics. Cambridge University Press, London
Kahraman S, Alber M (2006) Estimating unconfined compressive strength and elastic modulus of a fault breccia mixture of weak blocks and strong matrix. Int J Rock Mech Mining Sci 43:1277–1287
Korinets A, Alehossein H (2002) On the initial non-linearity of compressive stress-strain curves for intact rock. Rock Mech Rock Eng 35:319–328
Koyama T, Jing L (2007) Effects of model scale and particle size on micro-mechanical properties and failure processes of rocks—a particle mechanics approach. Eng Anal Bound Elem 31:458–472
Kranz RL (1979) Crack-crack and crack-pore interactions in stressed granite. Int J Rock Mech Min Sci Geomech Abstr 16:37–47
Kranz RL (1979) Crack growth and development during creep of Barre granite. Int J Rock Mech Min Sci Geomech Abstr 16:23–35
Kranz RL (1983) Microcracks in rocks: a review. Tectonophysics 100:449–480
Lajtai EZ (1974) Brittle fracture in compression. Int J Fract Mech 10:525–536
Le Goc R, Bouzeran L, Darcel C, Mas-Ivars D (2015) Using correlated random fields for modeling the spatial heterogeneity of rock. In: Proceedings Eurock 2015, Salzburg, Austria
Lilliefors H (1967) On the Kolmogorov-Smirnov test for normality with mean and variance unknown. J Am Stat Assoc 62:399–402
Martin CD (1993) The Strength of massive Lac du Bonnet Granite around underground openings. Ph.D. Dissertation. University of Manitoba
Martin CD, Chandler NA (1994) The progressive fracture of Lac du Bonnet granite. Int J Rock Mech Min Sci Geomech Abstr 31:643–659
Mas Ivars D, Pierce ME, Darcel C, Reyes-Montes J, Potyondy DO, Paul Young R, Cundall PA (2011) The synthetic rock mass approach for jointed rock mass modelling. Int J Rock Mech Min Sci 48:219–244
Masoumi H (2013) Investigation into the mechanical behaviour of intact rock at different sizes. Ph.D. Dissertation, University of New South Wales
Masoumi H, Saydam S, Hagan PC (2016) Unified size-effect law for intact rock. Int J Geomech (ASCE) 16(2):04015059
Mogi K (1962) The influence of the dimensions of specimens on the rock fracture strength of rocks. Bull Earth Res Inst Tokyo Univ 40:175–185
Nicksiar M, Martin CD (2012) Evaluation of methods for determining crack initiation in compression tests on low-porosity rocks. Rock Mech Rock Eng 45:607–617
Nishimatsu Y, Yamagushi U, Motosugi K, Morita M (1969) The size effect and experimental error of the strength of rocks (in Japanese). J Min Mat Proc Inst Jpn 18:1019–1025
Obert L, Duvall WI (1967) Rock mechanics and the design of structures in rock. Wiley, London, p 650
Pierce M, Gaida M, DeGagne O (2009) Estimation of rock block strength. In: Proceedings 3rd CANUS Rock Mechanics Symposium, Toronto
Potyondy DO, Cundall PA (2004) A bonded-particle model for rock. Int J Rock Mech Min Sci 41:1329–1364
Pratt HR, Black AD, Brown WS, Brace WF (1971) The effect of the specimen size on the mechanical properties of unjointed diorite. Int J Rock Mech Min Sci 9:513–529
Simon R, Deng D (2009) Estimation of scale effect of intact rock using dilatometer test results. In: Proceedings of the Geohalifax
Tapponnier P, Brace WF (1976) Development of stress-induced microcracks in Westerly granite. Int J Rock Mech Min Sci Geomech Ahstr 13:103–112
Thuro K, Pilinninger RJ, Zäh S, Schütz S (2001) Scale effects in rock strength properties. In: Proceedings of the ISRM Regional Symposium, EUROCK 2001, Rock Mechanics a Challenge for Society, Espoo, Finland
Tjioe M, Borja RI (2015) On the pore-scale mechanisms leading to brittle and ductile deformation behavior of crystalline rocks. Int J for Numer and Anal Meth in Geomech 39:1165–1187
Tjioe M, Borja RI (2016) Pore-scale modeling of deformation and shear band bifurcation in porous crystalline rocks. Int J Numer Meth Eng 108:183–212
Tuncay E, Hasancebi N (2009) The effect of length to diameter ratio of test specimens on the uniaxial compressive strength of rock. Bull Eng Geol Environ 68:491–497
Vutukuri VS, Lama RD, Saluja SS (1974) Handbook on mechanical properties of rocks. Trans Tech Publications, Bay Village
Walton G (2016) Scale effects observed in compression testing of Stanstead granite Including post-peak strength and dilatancy. Personal communication
Wawersik WR, Fairhurst C (1970) A study of brittle rock fracture in laboratory compression experiments. Int J Rock Mech Min Sci Geomech Abstr 7:561–575
Yoshinaka R, Osada M, Park H, Sasaki T, Sasaki K (2008) Practical determination of mechanical design parameters of intact rock considering scale effect. Eng Geol 96:173–186
Zhang K, Cao P, Ma G, Wang W, Fan W, Li K (2016) Strength, fragmentation and fractal properties of mixed flaws. Acta Geotech 11:901–912
Zhao XG, Cai M, Wang J, Li PF, Ma LK (2015) Objective determination of crack initiation stress of brittle rocks under compression using AE measurement. Rock Mech Rock Eng 48(6):2473–2484
Acknowledgements
The authors thank the Spanish Ministry of the Economy and Competitiveness for funding this research, awarded under Contract Reference No. BIA2014-53368P, partially financed by means of ERDF funds from the EU. Ailish M. J. Maher is acknowledged for language editing of a version of this manuscript.
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Quiñones, J., Arzúa, J., Alejano, L.R. et al. Analysis of size effects on the geomechanical parameters of intact granite samples under unconfined conditions. Acta Geotech. 12, 1229–1242 (2017). https://doi.org/10.1007/s11440-017-0531-7
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DOI: https://doi.org/10.1007/s11440-017-0531-7