Abstract
This paper presents a comprehensive study of the cracking and coalescence behavior of granite specimens with pre-existing flaw pairs. Uniaxial compressions tests were conducted on Barre granite with pre-existing flaw pairs of varying inclination angles \((\upbeta )\), bridging angles \((\alpha )\) and ligament lengths (L). The cracking processes were recorded using a high speed camera to capture crack initiation and determine the mode (tensile or shear) of cracking. Visible fracture process zones of grain lightening, referred to as “white patching”, were also observed. White patching corresponded to fracture process zones that developed before visible cracks appeared. Cracks were typically preceded by a corresponding linear white patching. Diffusive area white patching was also observed near locations where surface spalling eventually occurred. Shear cracks occurred less often when compared to other brittle materials such as gypsum and marble and tensile cracks were typically much more jagged in shape (saw-toothed) due to the larger size and higher strength mineral grains of granite. Crack coalescence behavior trended from indirect to direct shear and combined shear-tensile to direct tensile coalescence as the flaw pair bridging angle \((\alpha )\) or flaw angle \((\upbeta )\) increased. As the ligament length (L) between flaws increased, more indirect coalescence was observed. As expected, due to the increased occurrence of tensile cracking in granite, more indirect tensile coalescence was observed in granite compared to other materials previously studied.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
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
Brace WF, Bombolakis EG (1963) A note on brittle crack growth in compression. J Geophys Res 68(12):3709–3713
Brooks Z (2010) A nanomechanical investigation of the crack tip process zone of marble. MSc Thesis, Massachusetts Institute of Technology
Brooks Z, Einstein HH, Ulm F (2010) A nanomechanical investigation of the crack tip process zone. In: 44th U.S. Rock mechanics symposium and 5th U.S.-Canada rock mechanics symposium, June 27–30, 2010, Salt Lake City, Utah
Goldsmith W, Sackman JL, Ewert C (1976) Static and dynamic fracture strength of Barre Granite. Int J Rock Mech Min Sci Geomech Abstr 13:303–309
Hamiel Y, Katz O, Lyakhovsky V, Reches Z, Fialko Y (2006) Stable and unstable damage evolution in rocks with implications to fracturing of granite. Geophys J Int 167:1005–1016
Ingraffea AR, Heuze FE (1980) Finite element models for rock fracture mechanics. Int J Numer Anal Methods Geomech 4:25
Iqbal MJ, Mohanty B (2006) Experimental calibration of stress intensity factors of the ISRM suggested cracked chevron-notched Brazilian disc specimen used for determination of mode-I fracture toughness. Int J Rock Mech Min Sci 43:1270–1276
Kranz RL (1979) Crack growth and development during creep of Barre granite. Int J Rock Mech Min Sci Geomech Abstr 16:23–35
Labuz JH, Shah SP, Dowding CH (1987) The fracture process zone in granite: evidence and effect. Int J Rock Mech Min Sci Geomech Abstr 24(4):235–246
Li YP, Chen LZ, Wang YH (2005) Experimental research on pre-cracked marble under compression. Int J Solids Struct 42:2505–2516
Martinez AR (1999) Fracture coalescence in natural rock. MSc Thesis, Massachusetts Institute of Technology
Miller JT (2008) Crack coalescence in granite. MSc Thesis, Massachusetts Institute of Technology
Miller JT, Einstein HH (2008) Crack coalescence tests on granite. In: The 42nd U.S. Rock mechanics symposium (USRMS), June 29–July 2, 2008, San Francisco
Moore DE, Lockner DA (1995) The role of microcracking in shear-fracture propagation in granite. J Struct Geol 17(1):95–114
Morgan SP (2011) The effect of complex inclusion geometries on fracture and crack coalescence behavior in brittle material. Thesis, Massachusetts Institute of Technology
Nasseri MHB, Mohanty B, Young RP (2006) Fracture toughness measurements and acoustic emission activity in Brittle rock. Pure Appl Geophys 163:917–945
Peng SS (1975) A note on the fracture propagation and time-depedent behavior of rocks in uniaxial tension. Int J Rock Mech Min Sci Geomech Abstr 12:125–127
Shen B, Stephansson O, Einstein HH, Ghahreman B (1995) Coalescence of fractures under shear stress experiments. J Geophys Res 100(6):5975–5990
Wong NY (2008) Crack coalescence in molded gypsum and Carrara Marble. Dissertation, Massachusetts Institute of Technology
Wong RHC, Chau KT (1998) Crack coalescence in a rock-like material containing two cracks. Int J Rock Mech Min Sci 35(2):147–164
Wong LNY, Einstein HH (2009a) 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 (2009b) Systematic evaluation of cracking behavior in specimens containing single flaws under uniaxial compression. Int J Rock Mech Min Sci 46(2):239–249
Wong LNY, Einstein HH (2009c) Crack coalescence in molded gypsum and carrara marble: Part 2—microscopic observations and interpretation. Rock Mech Rock Eng 42(3):513–545
Wong RHC, Chau KT, Tang CA, Lin P (2001) Analysis of crack coalescence in rock-like materials containing three flaws—part I: experimental approach. Int J Rock Mech Min Sci 38:909–924
Zang A, Wagner FC, Stanchits S, Janssen C, Dresen G (2000) Fracture process zone in granite. J Geophy Res 105(B10):23,651–23,661
Zhang XP, Wong LNY (2012) Cracking processes in rock-like material containing a single flaw under uniaxial compression: a numerical study based on parallel bonded-particle model approach. Rock Mech Rock Eng 45(5):711–737
Zietlow WK, Labuz JF (1998) Measurement of the intrinsic process zone in rock using acoustic emission. Int J Rock Mech Min Sci Geomech Abstr 35(3):291–299
Acknowledgments
The experimental research underlying the study presented in this paper was conducted, in addition to the first and second author, by A. Martinez, J. Miller, M. Berry and J. Harrow. S. Rudolph, played an essential role in building the equipment and instructing its use. The high speed video camera was made available by the MIT Edgerton Laboratory. Support of the research came from NSF (Award No. 0555053), DoE(DE-FG-06GO16061), ARO (Award No. 007492-001) and the MIT Energy Initiative. This support is gratefully acknowledged, as is the interaction with the associated project officers.
Author information
Authors and Affiliations
Corresponding author
Appendix: Example test analysis
Appendix: Example test analysis
Rights and permissions
About this article
Cite this article
Morgan, S.P., Johnson, C.A. & Einstein, H.H. Cracking processes in Barre granite: fracture process zones and crack coalescence. Int J Fract 180, 177–204 (2013). https://doi.org/10.1007/s10704-013-9810-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10704-013-9810-y