Application of fractal geometry measurements to the evaluation of fracture toughness of brittle intermetallics

Abstract

Determination of the boundary fractal dimension of planar sections through particles produced by fracturing a series of brittle intermetallic V3Au materials with increasing oxygen content provides a single parameter that describes the surface roughness. This is observed to correlate with the measured fracture toughness, K1c, as determined with an indentation cracking test. The correlation agrees quantitatively with results obtained on several brittle ceramics by other workers.

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References

  1. 1.

    H. von Philipsborn and F. Laves, Acta Cryst. 17, 213–214 (1964).

    CAS  Article  Google Scholar 

  2. 2.

    M. A. Kassem, Y. Fahmy, and C. C. Koch, in Alloy Phase Stability and Design, edited by G. M. Stocks, D. P. Pope, and A. F. Giamei (Mater. Res. Soc. Symp. Proc. 186, Pittsburgh, PA, 1990).

    Google Scholar 

  3. 3.

    B. B. Mandelbrot, The Fractal Geometry of Nature (W. H. Freeman, San Francisco, CA, 1982).

    Google Scholar 

  4. 4.

    B. B. Mandelbrot, D. E. Passoja, and A. J. Pauley, Nature 308, 721 (1984).

    CAS  Article  Google Scholar 

  5. 5.

    R. H. Marion, Fracture Mechanics Applied to Brittle Materials (ASTM Special Technical Publication 678, Philadelphia, PA, 1978), p. 103.

    Google Scholar 

  6. 6.

    J. C. Russ, Computer Assisted Microscopy (Plenum Press, New York, 1990).

    Google Scholar 

  7. 7.

    J. J. Mecholsky, D. E. Passoja, and K. S. Feinberg-Ringel, J. Am. Ceram. Soc. 72 (1), 60 (1989).

    CAS  Article  Google Scholar 

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Correspondence to Y. Fahmy.

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Fahmy, Y., Russ, J.C. & Koch, C.C. Application of fractal geometry measurements to the evaluation of fracture toughness of brittle intermetallics. Journal of Materials Research 6, 1856–1861 (1991). https://doi.org/10.1557/JMR.1991.1856

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