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Effective Elastic Properties of Cracked Solids: An Experimental Investigation

  • Letters in Fracture and Micromechanics
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Abstract

Non Interaction Approximation (NIA) is currently used to relate effective elastic moduli to crack density. It also allows one to identify the anisotropy of the crack network.

We investigated thermally cracked glass sample and quantified the crack network (using SEM). From elastic wave velocity measurements, using EMT, we obtained the crack densities: α1 = 0.038 (horizontal one) and α3 = 0.0037 (vertical one).

From SEM observations and image processing we could identify all cracks, count them and determine independently the crack density. These results agree with the previously determined ones from the elastic wave velocity measurements (within a small uncertainty range).

These results indicate that the NIA is quite accurate in the considered range of crack densities, and elastic wave velocity measurements can provide reliable information on their crack distribution and crack density.

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References

  • Adelinet, M., C. Dorbath, M. Le Ravalec, J. Fortin, and Y. Guéguen (2011), Deriving microstructure and fluid state within the Icelandic crust from the inversion of tomography data, J. geophys. Res, 38, 3.

    Google Scholar 

  • Birch F. (1960) The velocity of compressional waves in rocks to 10 kilobars, part 1. Journal of Applied Mechanics. 65: 1083–1102

    Google Scholar 

  • Bristow, J. (1960), Microcracks, and the static and dynamic elastic constants of annealed and heavily cold-worked metals, British Journal of Applied Physics, 11, no 2, p. 81.

  • Fortin, J., Stanchits S., Dresen G., and Y. Guéguen (2006), Acoustic emission and velocities associated with the formation of compaction bands in sandstone, Journal of Geophysical Research, 111(B10), doi:10.1029/2005JB003,854.

  • Fortin, J., Y. Guéguen, and A. Schubnel (2007), Effects of pore collapse and grain crushing on ultrasonic velocities and vp/vs, Journal of geophysical research, 112, doi:10.129/2005JB004,005.

  • Fortin J., Stanchits S., Vinciguerra S., Guéguen Y. (2011) Influence of thermal and mechanical cracks on permeability and elastic wave velocities in a basalt from mt. etna volcano subjected to elevated pressure. Tectonophysics. 503(1): 60–74

    Article  Google Scholar 

  • Grechka V., Kachanov M. (2006) Effective elasticity of rocks with closely spaced and intersecting cracks. Geophysics. 71(3): D85–D91

    Article  Google Scholar 

  • Grechka V., Kachanov M. (2006) Effective elasticity of fractured rocks: A snapshot of the work in progress. Geophysics 71(6): W45–W58

    Article  Google Scholar 

  • Guéguen, Y., and M. Kachanov (2011), Effective elastic properties of cracked rocks - an overview, in, mechanics of crustal rocks, CISM Courses and Lectures, Volume 533, 73–125.

  • Kachanov M. (1980) Continuum model of medium with cracks. Journal of the engineering mechanics division. 106: 1039–1051

    Google Scholar 

  • Kachanov, M. (1992), Effective elastic properties of cracked solids, Appl Mech Rev, 45(8).

  • Kachanov M. (1993) Elastic solids with many cracks and related problems. Advances in applied mechanics. 30: 259–445

    Article  Google Scholar 

  • Mear M. E., Sevostianov I., Kachanov M. (2007) Elastic compliances of non-flat cracks. International Journal of Solids and Structures. 44(20): 6412–6427

    Article  Google Scholar 

  • Nara Y., Meredith P. G., Yoneda T., Kaneko K. (2011) Influence of macro-fractures and microfractures on permeability and elastic wave velocities in basalt at elevated pressure. Tectonophysics. 503(1): 52–59

    Article  Google Scholar 

  • Ougier-Simonin A., Fortin J., Guéguen Y., Schubnel A., Bouyer F. (2010) Cracks in glass under triaxial conditions. International Journal of Engineering Science. 49: 105–121

    Article  Google Scholar 

  • Ougier-Simonin, A., Y. Guéguen, J. Fortin, A. Schubnel, and F. Bouyer (2011), Permeability and elastic properties of cracked glass under pressure, Journal of geophysical research, 116, doi:10.1029/2010JB008,077.

  • Pratt, H., H. Swolfs, W. Brace, A. Black, and J. Handin (1977), Elastic and transport properties of an in situ jointed granite, in International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, vol. 14, pp. 35–45, Elsevier.

  • Sayers C., Kachanov M. (1995) Microcrack-induced elastic wave anisotropy of brittle rocks. Journal of Geophysical Research. 100(B3): 4149–4156

    Article  Google Scholar 

  • Schoenberg M. (1980) Elastic wave behavior across linear slip interfaces. The Journal of the Acoustical Society of America. 68: 1516–1521

    Article  Google Scholar 

  • Schubnel, A., E. Walker, B. Thompson, J. Fortin, Y. Guéguen, and R. Young (2006), Transient creep, aseismic damage and slow failure in carrara marble 3 deformed across the brittle-ductile transition, Geophysical Research Letters, 33, doi:10.1029/2006GL026,619.

  • Vinciguerra S., Trovato C., Meredith P., Benson P. (2005) Relating seismic velocities, thermal cracking and permeability in mt. etna and iceland basalts. International Journal of Rock Mechanics and Mining Sciences. 42(7): 900–910

    Google Scholar 

  • Walsh J. (1965) The effect of cracks on the uniaxial elastic compression of rocks. Journal of Geophysical Research. 70(2): 399–411

    Article  Google Scholar 

  • Yin, H. (1992), Acoustic velocity and attenuation of rocks: isotropy, intrinsic anisotropy, and stressinduced anisotropy, Ph.D. thesis.

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Correspondence to Céline Mallet.

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Mallet, C., Fortin, J., Guéguen, Y. et al. Effective Elastic Properties of Cracked Solids: An Experimental Investigation. Int J Fract 182, 275–282 (2013). https://doi.org/10.1007/s10704-013-9855-y

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  • DOI: https://doi.org/10.1007/s10704-013-9855-y

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