The effect of neighbouring cracks on elliptical crack initiation and propagation in uniaxial and triaxial stress fields

Griffith, 1920, The phenomena of rupture and flow in solids, Philos. Trans. Roy. Soc. London, Series A, 221, 163 Brace, 1963, A note on brittle crack growth in compression, J. Geophys. Res., 68, 3709, 10.1029/JZ068i012p03709 Hoek, 1965, Brittle fracture propagation in rock under compression, Int. J. Fracture Mech., 1, 137, 10.1007/BF00186851 Nemat-Nasser, 1982, Compression-induced nonplanar crack extension with application to splitting, exfoliation and rockburst, J. Geophys. Res., 87, 6805, 10.1029/JB087iB08p06805 Cannon, 1990, Wing cracks and brittle compressive fracture, Acta Metallurgica et Materialia, 38, 1955, 10.1016/0956-7151(90)90307-3 Lajtai, 1971, A theoretical and experimental evaluation of the Griffith theory of brittle fracture, Tectonophysics, 11, 129, 10.1016/0040-1951(71)90060-6 Schulson, 1991, The growth of wing cracks and the brittle compressive failure of ice, Acta Metallurgica et Materialia, 39, 2651, 10.1016/0956-7151(91)90081-B Wawersik, 1970, A study of brittle rock fracture in laboratory compression experiments, Int. J. Rock Mechanics and Mining Sciences and Geomechanical Abstracts, 7, 561, 10.1016/0148-9062(70)90007-0 Peng, 1972, Crack growth and faulting in cylindrical specimens of Chelmsford granite, Int. J. Rock Mechanics and Mining Sciences and Geomechanical Abstracts, 9, 37, 10.1016/0148-9062(72)90050-2 Huang, 1993, The development of rock fracture from microfracturing to main fracture formation, Int. J. Rock Mechanics and Mining Sciences and Geomechanical Abstracts, 30, 925, 10.1016/0148-9062(93)90046-G Ingraffea, A. R., The strength ratio effect in the fracture of rock structures. In Proc. 20th U.S. Symposium on Rock Mechanics, University of Texas at Austin, 1979, pp. 153–162 Kemeny, J. A. and Cook, N. G. W., Micromechanics of deformation in rocks. In Toughening Mechanisms in Quasi-Brittle Materials, ed. S. P. Shah. Kluwer Academic, The Netherlands, 1991, pp. 155–188 Dyskin, A. V., Germanovich, L. N., Lee, K. K., Ring, L. M. and Ingraffea, A. R., Modelling crack propagation in compression. In Rock Mechanics: Models and Measurements, Challenges from Industry, Proc. 1st North American Rock Mechanics Symposium, Austin, eds P. P. Nelson and S. E. Laubach. Balkema, Rotterdam, 1994, pp. 451–460 Rossmanith, 1983, Modelling of fracture process zones and singularity dominated zones, Engng Fracture Mech., 17, 509, 10.1016/0013-7944(83)90112-1 Ingraffea, A. R. and Wawrzynek, P. A., Modelling of the fracture process zone in rock. In Rock Masses: Modelling of Underground Openings/Probability of Slope Failure/Fracture of Intact Rock, Proc. Symposium, Denver, ed. C. H. Dowding. American Society of Civil Engineers, New York, 1985, pp. 151–157 Reyes, O. and Einstein, H. H., Failure mechanisms of fractured rock – A fracture coalescence model. In Proc. 7th Int. Congress on Rock Mechanics, Aachen, ed. W. Wittke. Balkema, Rotterdam, 1991, pp. 333–340 Shen, 1993, Numerical analysis of mixed mode I and mode II fracture propagation, Int. J. Rock Mechanics and Mining Sciences and Geomechanical Abstracts, 30, 861, 10.1016/0148-9062(93)90037-E Ingraffea, A. R., Boone, T. J. and Swenson, D. V., Computer simulation of fracture processes. In Comprehensive Rock Engineering: Principles, Practice and Projects, ed. J. A. Hudson. Pergamon Press, New York, 1993, pp. 545–573 Dyskin, 1995, On modelling of defect interaction, Int. J. Fracture, 71, R79, 10.1007/BF00037823 Dzik, E. J. and Lajtai, E. Z., Modeling the axial tensile fractures of the compressive stress field, in preparation Johnston, 1985, Strength of intact geomechanical materials, J. Geotechnical Engng, 111, 730, 10.1061/(ASCE)0733-9410(1985)111:6(730) Carter, 1991, Fitting strength criteria to intact rock, Geotechnical and Geological Engng, 9, 73, 10.1007/BF00880985 Du, 1991, Interaction of multiple cracks and formation of echelon crack arrays, Int. J. Numerical and Analytical Methods in Geomechanics, 15, 205, 10.1002/nag.1610150305 Kachanov, 1989, Three-dimensional problems of strongly interacting arbitrarily located penny-shaped cracks, Int. J. Fracture, 41, 289, 10.1007/BF00018861 Adams, 1978, Crack extension from flaws in a brittle material subjected to compression, Tectonophysics, 49, 97, 10.1016/0040-1951(78)90099-9 Hamajima, R., Kawai, T., Kusabuka, M. and Yamashita, K., Crack propagation analysis of cracked rock media. In Numerical Methods in Fracture Mechanics: Proc. 3rd Int. Conf., Swansea, eds A. R. Luxmoore and D. R. J. Owen. Pineridge Press, Swansea, 1984, pp. 751–764 Kwong, L. S., Photomicrographic Analysis of Cracks Produced by Compression in Lac du Bonnet Quartz Monzonite. Department of Earth Sciences, University of Manitoba, Winnipeg, 1983, p. 71 Bezys, R., Fracture Initiation, Propagation and Arrest Produced by Compressive Loading and Unloading in the Lac du Bonnet Batholith. Department of Earth Sciences, University of Manitoba, Winnipeg, 1984, p. 72 Wawersik, 1971, Post-failure behavior of a granite and diabase, Rock Mechanics, 3, 5, 10.1007/BF01239627 Krartz, 1983, Microcracks in rocks: A review, Tectonophysics, 100, 449 Hugman, 1979, Effects of texture and composition on mechanical behavior of experimentally deformed carbonate rocks, Am. Assoc. Petroleum Geologists Bull., 63, 1478 Dey, 1981, Some mechanisms of microcrack growth and interaction in compressive rock failure, Int. J. Rock Mechanics and Mining Sciences and Geomechanical Abstracts, 18, 199, 10.1016/0148-9062(81)90974-8 Myer, 1992, Extensile cracking in porous rock under differential compressive stress, Appl. Mech. Rev., 45, 263, 10.1115/1.3119758 Bombolakis, 1968, Photoelastic study of initial stages of brittle fracture in compression, Tectonophysics, 6, 461, 10.1016/0040-1951(68)90072-3 Peng, S. S. and Oritz, C. A., Crack propagation and fracture of rock specimens loaded in compression. In Proc. Int. Conf. on Dynamic Crack Propagation, Bethlehem, ed. G. C. Sih. Noordhoff, Leyden, 1973, pp. 113–129 Kranz, 1979, Crack–crack and crack–pore interactions in stressed granite, Int. J. Rock Mechanics and Mining Sciences and Geomechanical Abstracts, 16, 37, 10.1016/0148-9062(79)90773-3