Hostname: page-component-848d4c4894-ttngx Total loading time: 0 Render date: 2024-05-29T00:00:31.522Z Has data issue: false hasContentIssue false
  • English
  • Français

A direct determination of fractal dimension of fracture surfaces using scanning electron microscopy and stereoscopy

Published online by Cambridge University Press:  18 February 2016

J.J. Friel  and
C. S. Pande
J.J. Friel
Affiliation:
Princeton Gamma-Tech, 1200 State Road, Princeton, New Jersey 08540
C. S. Pande
Affiliation:
Naval Research Laboratory, Washington, DC 20375
Get access

Extract

A rapid and accurate method of measuring fractal dimension of a fractured surface is described. The method uses a stereo pair of photomicrographs taken in a scanning electron microscope and digitized for computer analysis. The computer can automatically compare the offset at many places in the two images and calculate their height on the basis of the parallax angle. The sum of the area of all planes formed by an array of three-dimensional points is an approximation of the true surface area. The scale can be varied both in the microscope and in the computer; therefore, a fractal dimension can be calculated. Unlike previous methods, this one is direct and gave results intermediate between two prior indirect measurements.

Type
Research Article
Information
Journal of Materials Research , Volume 8 , Issue 1 , January 1993 , pp. 100 - 104
Copyright
Copyright © Materials Research Society 1993

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Fracture, an Advanced Treatise, edited by Liebowitz, H. (Academic Press, New York, 1984), Vol. I-VII.Google Scholar
2. Coster, M. and Chermant, J. T., Int. Metall. Rev. 28, 228 (1983).CrossRefGoogle Scholar
3. Underwood, E.E. and Banerji, K., Metals Handbook, 9th ed. (ASM INTERNATIONAL, Metals Park, OH, 1987), Vol. 12, pp. 193–210.Google Scholar
4. Mandelbrot, B.B., Passoja, D.E., and Pullay, A.J., Nature 308, 721 (1984).Google Scholar
5. Mandelbrot, B.B., Fractal Geometry of Nature (Freeman, New York, 1982).Google Scholar
6. Pande, C.S., Richards, L.E., Lonat, N., Dempsey, B.D., and Schwoeble, J., Acta Metall. 35, 1633 (1987).CrossRefGoogle Scholar
7. Mu, Z. Q. and Lung, C. W., quoted in Ref. 8.Google Scholar
8. Wang, Z. G., Chen, D. L., Jiang, X. X., Ai, S. H., and Shih, C. H., Scripta Metall. 22, 827 (1988).CrossRefGoogle Scholar
9. Pande, C.S., Louat, N., Masumura, R.A., and Smith, S., Philos. Mag. Lett. 55, 99 (1987).Google Scholar
10. Brown, C. A., Charles, P. D., Johnsen, W. A., and Chesters, S., Wear (in press).Google Scholar
11. Underwood, E.E., “Treatment of Reversed Sigmoidal Curves for Fractal Analysis,” MiCon 90: Advances in Video Technology for Microstructural Control, ASTM STP 1094, edited by Vander Voort, George F. (American Society for Testing and Materials, Philadelphia, PA, 1990). Google Scholar