Skip to main content
Log in

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

  • Articles
  • Published:
Journal of Materials Research Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

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

    Article  CAS  Google Scholar 

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

    Google Scholar 

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

    Article  CAS  Google Scholar 

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

    Google Scholar 

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

    Book  Google Scholar 

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

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1557/JMR.1991.1856

Navigation