A Study on Crack Initiation and Propagation in Rock with Pre-existing Flaw Under Uniaxial Compression

Griffith AA (1920) The phenomenon of rupture and flow in solids. Philos Trans R Soc Lond Ser A 221:163–198

Inglis CE (1913) Stresses in a plate due to the presence of cracks and sharp corners. Trans Inst Nav Archit 60:219–230

Orowan E (1949) Fracture and strength of solids. Rep Progr Phys 12:185–232

Hoek E (1964) Fracture of anisotropic rock. J S Afr Inst Min Metall 64(10):501–518

Hoek E, Bieniawski ZT (1965) Brittle fracture propagation in rock under compression. J Fract Mech 1(3):139–155

Barenblatt GI (1962) The mathematical theory of equilibrium of cracks in brittle fracture. Adv Appl Mech 7:55–129

Dugdale DS (1960) Yielding of steel sheets containing slits. J Mech Phys Solids 8:100–104

Hillerborg A, Modeer M, Petersson PE (1976) Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concr Res 6:773–782

Bobet A, Einstein HH (1998) Numerical modeling of fracture coalescence in a model rock material. Int J Fract 92:221–252

Bobet A, Einstein HH (1998) Fracture coalescence in rock-type materials under uniaxial and biaxial compression. Int J Rock Mech Min Sci 35(7):863–888

Sagong M, Bobet A (2002) Coalescence of multiple flaws in a rock- model material in uniaxial compression. Int J Rock Mech Min Sci 39(2):229–241

Wong LNY, Einstein HH (2009) Crack coalescence in molded gypsum and Carrara marble: part 1—macroscopic observations and interpretation. Rock Mech Rock Eng 42(3):475–511

Wong LNY, Einstein HH (2009) Systematic evaluation of cracking behavior in specimens containing single flaws under uniaxial compression. Int J Rock Mech Min Sci 46(2):239–249

Park CH, Bobet A (2009) Crack coalescence in specimens with open and closed flaws: a comparison. Int J Rock Mech Min Sci 46(5):819–829

Park CH, Bobet A (2010) Crack initiation, propagation and coalescence from frictional flaws in uniaxial compression. Eng Fract Mech 77(14):2727–2748

Reyes O, Einstein HH (1991) Failure mechanism of fractured rock-a fracture coalescence model. In: Proceedings of the 7th congress of the ISRM, Aachen, Germany, vol 1, pp 333–340

Xu Y, Yuan H (2011) Applications of normal stress dominated cohesive zone models for mixed-mode crack simulation based on extended finite element methods. Eng Fract Mech 78:544–558

Gonçlaves da Silva B, Einstein HH (2013) Modeling of crack initiation, propagation and coalescence in rocks. Int J Fract 182:167–186

Xie Y, Cao P, Liu J, Dong L (2016) Influence of crack surface friction on crack initiation and propagation: a numerical investigation based on extended finite element method. Comput Geotech 74:1–14

Lee H, Jeon S (2011) An experimental and numerical study of fracture coalescence in pre-cracked specimens under uniaxial compression. Int J Solids Struct 48(6):979–999

Lisjak A, Figi D, Grasselli G (2014) Fracture development around deep underground excavations: insights from FDEM modelling. J Rock Mech Geotech Eng 6:493–505

Mahabadi OK, Lisjak A, Grasselli G, Munjiza A (2012) Y-Geo: a new combined finite-discrete element numerical code for geomechanical applications. Int J Geomech 12(6):676–688

Vasarhelyi B, Bobet A (2000) Modeling of crack initiation, propagation and coalescence in uniaxial compression. Rock Mech Min Sci 33(2):119–139

Steif PS (1984) Crack extension under compressive loading. Eng Fract Mech 20(3):463–473

Horri H, Nemat-Naseer S (1985) Compression-induced microcrack growth in brittle soilds: axial splitting and shear failure. J Geophys Res 90(B4):3105–3125

Ashby MFA, Hallam SD (1986) The failure of brittle solids containing small cracks under compressive stress states. Acta Metall Sin 34(3):497–510

Baud P, Reuschlé T, Charlez P (1996) An improved wing crack model for the deformation and failure of rock in compression. Int J Rock Mech Min Sci 33(5):539–542

Lajtai EZ (1974) Brittle fracture in compression. Int J Fract 10(4):525–536

Xu XP, Needleman A (1994) Numerical simulations of fast crack growth in brittle solids. J Mech Phys Solids 42:1397–1434

Camanho PP, Dávila CG (2002) Mixed-mode decohesion finite elements for the simulation of delamination in composite materials. NASA/TM-2002-211737, pp 1–42

Belytschko T, Black T (1999) Elastic crack growth in finite elements with minimal remeshing. Int J Numer Methods Eng 45:601–620

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

ISRM (1979) Suggested methods for determining the uniaxial compressive strength and deformability of rock materials. Int J Rock Mech Min Sci Geomech Abstr 16(2):135–140

ISRM (1978) Suggested methods for determining tensile strength of rock materials. Int J Rock Mech Sci Geomech Abstr 15:99–103

ISRM (2007) The complete ISRM suggested methods for rock characterization, testing and monitoring: 1974–2006. In: Ulusay R Hudson JA (eds) Suggested methods prepared by the commission on testing methods, ISRM, compilation arranged by the ISRM Turkish National Group, Kozan Ofset, Ankara

Fowell RJ (1995) Draft ISRM suggested method for determining mode I fracture toughness using cracked chevron notched barzilian disc (CCNBD) specimens. Int J Rock Mech Min Sci Geomech Abstr 32(1):57–64

Atkinson C, Smelser RE, Sanchez J (1982) Combined mode fracture via the cracked Brazilian disk test. Int J Fract 18(4):279–291

Al-Shayea NA (2005) Crack propagation trajectories for rocks under mixed mode I–II fracture. Eng Geol 81:84–97

Yamashita T, Umeda Y (1994) Earthquake rupture complexity due to dynamic nucleation and interaction of subsidiary faults. Pure Appl Geophys 143(1–3):89–116

Abaqus Analysis User’s Manual, Version 6.12 (2012) Dassault Systèmes Simulia Corporation. Providence, Rhode Island, USA