Abstract
Slit-island analysis (SIA) has been successfully used to measure the fractal dimensional increment (D*) of fracture surfaces. The fracture toughness in brittle ceramics is related to the fractal dimension. However, the measurement technique may affect the determined D* values. The purpose of this study was to determine the contour angle at which a valid fractal dimension measurement could be obtained using the SIA method for baria silicate glass-ceramic and zinc selenide ceramic. Two specimens of each material were duplicated for each of the following contour angles: 0°, 3°, 5°, 7°, 22°, and 90°. After polishing to 1 μm alumina slurry, the coastlines were photographed and arranged in a collage. The coastline was analyzed using the Richardson technique. Results showed that the SIA technique is sensitive to the contour angle since D* decreases with increasing contour angle for both materials.
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REFERENCES
B. B. Mandelbrot, in “The Fractal Geometry of Nature” (W. H. Freeman & Co., San Francisco, 1982).
B. B. Mandelbrot, D. E. Passoja and A. J. Paulley, Nature 308 (1984) 721.
J. J. Mecholsky Jr., D. E. Passoja and K. S. Feinberg-Ringel, J. Amer. Ceram. Soc. 72 (1989) 60.
D. J. Alexander, in “Quantitative Methods in Fractography” (ASTM STP 1085, Philadelphia, 1990) p. 39.
G. Pezzotti, M. Sakai, Y. Okamoto and T. Nishida, Mater. Sci. Eng. A197 (1995) 109.
J. Wasen, E. Heier and T. Hansson, Scripta Materialia 38(6) (1998) 953.
J. J. Mecholsky Jr. and J. R. Plaia, J. Non-Cryst. Solids 146 (1992) 249.
Z. Chen, J. J. Mecholsky Jr., T. Joseph and C. L. Beatty, J. Mater. Sci. 32 (1997) 6317.
J. C. Hsiung and Y. T. Chou, ibid. 33 (1998) 2949.
C. S. Pande, L. E. Richards, N. Louat, B. D. Dempsey and A. J. Schwoeble, Acta Metall. 35(7) (1987) 1633.
C. S. Pande, L. E. Richards and S. Smith, J. Mater. Sci. Let. 6 (1987) 295.
J. J. Mecholsky Jr., in “Fractography of Glasses and Ceramics III, ” edited by J. R. Varner, V. D. Frechette and G. D. Quinn (Ceramic Transactions, Vol. 64, 1996) p 385.
J. J. Mecholsky Jr. and S. W. Freiman, J. Amer. Ceram. Soc. 74(12) (1991) 3136.
C. W. Lung, in “Fractals in Physics” (North Holland, Amsterdam, 1985) p. 189.
C. W. Lung and Z. Q. Mu. Phys. Rev. B38 (1988) 11781.
T. J. Hill, A. Della Bona and J. J. MecholskyJr., J. Mater. Sci. 36 (2001) 2651.
J. C. Russ, in “Fractal Surfaces” (Plenum Press, New York, 1994).
Idem. J. Computer-Assisted Microscopy, 3(3) (1991) 127.
T. J. Hill, J. J. Mecholsky Jr. and K. J. Anusavice, J. Amer. Ceram. Soc. 83(3) (2000) 545.
S. W. Freiman, J. J. Mecholsky Jr., R. W. Rice and J. C. Wurst, ibid. 58(9/10) (1975) 406.
T. J. Mackin, Ph.D. Thesis, Penn State University, 1990.
B. B. Mandelbrot, Physica Scripta 32 (1985) 257.
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Della Bona, A., Hill, T.J. & Mecholsky, J.J. The effect of contour angle on fractal dimension measurements for brittle materials. Journal of Materials Science 36, 2645–2650 (2001). https://doi.org/10.1023/A:1017948409986
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DOI: https://doi.org/10.1023/A:1017948409986