Geometric analysis of damaged microcracking in granites

Abstract Practically identical samples are tested at the same confining pressure and temperature but at different deviatoric stress levels. Thin sections are observed using an optical microscope and recorded as images in order to study the crack network evolution. The compound cracks are decomposed into elementary cracks (right segments) with constant orientation and then reassembled in order to determine crack length and cumulated crack length. The results of crack observations are discussed in the light of the mechanisms of crack evolution at microscopic level compared to the stress–strain curves. It results from our observations that mean crack length increases only moderately in comparison with maximal crack length and the number of cracks. Zhao reports similar results (cf. Zhao, Y., 1998. Crack pattern evolution and a fractal damage constitutive model for rock. Int. J. Rock. Mech. Min. Sci. 35 (3), 349–366). The evolution of microcracking can be attributed more to new crack nucleation rather than to growth of the pre-existing cracks.

[1]  S. Nemat-Nasser,et al.  Brittle failure in compression: splitting faulting and brittle-ductile transition , 1986, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[2]  W. R. Wawersik,et al.  Post-failure behavior of a granite and diabase , 1971 .

[3]  M. Kachanov,et al.  A microcrack model of rock inelasticity part I: Frictional sliding on microcracks , 1982 .

[4]  Kate Hadley,et al.  Comparison of calculated and observed crack densities and seismic velocities in westerly granite , 1976 .

[5]  Teng-fong Wong,et al.  Effects of temperature and pressure on failure and post-failure behavior of Westerly granite , 1982 .

[6]  M. Oda,et al.  A crack tensor and its relation to wave velocity anisotropy in jointed rock masses , 1986 .

[7]  Sia Nemat-Nasser,et al.  Compression‐induced microcrack growth in brittle solids: Axial splitting and shear failure , 1985 .

[8]  T. Kuwahara,et al.  Permeability changes in granite with crack growth during immersion in hot water , 1998 .

[9]  Sia Nemat-Nasser,et al.  A Microcrack Model of Dilatancy in Brittle Materials , 1988 .

[10]  Z. T. Bieniawski,et al.  Mechanism of brittle fracture of rockPart IIexperimental studies , 1967 .

[11]  Yong-Hong Zhao,et al.  Crack pattern evolution and a fractal damage constitutive model for rock , 1998 .

[12]  John M Kemeny,et al.  Effective moduli, non-linear deformation and strength of a cracked elastic solid , 1986 .

[13]  Paul Tapponnier,et al.  Development of stress-induced microcracks in Westerly Granite , 1976 .

[14]  Kanatani Ken-Ichi DISTRIBUTION OF DIRECTIONAL DATA AND FABRIC TENSORS , 1984 .

[15]  S. J. Green,et al.  Observation of brittle-deformation features at the maximum stress of westerly granite and solenhofen limestone , 1970 .

[16]  Teng-fong Wong,et al.  Geometric probability approach to the characterization and analysis of microcracking in rocks , 1985 .

[17]  R. Kranz Microcracks in rocks: a review , 1983 .

[18]  N. A. Chandler,et al.  The progressive fracture of Lac du Bonnet granite , 1994 .

[19]  K. Kanatani Stereological determination of structural anisotropy , 1984 .

[20]  J. R. Bristow Microcracks, and the static and dynamic elastic constants of annealed and heavily cold-worked metals , 1960 .

[21]  S. Timoshenko,et al.  Mechanics of Materials, 3rd Ed. , 1991 .

[22]  John C. Russ,et al.  The Image Processing Handbook , 2016, Microscopy and Microanalysis.