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The effect of contour angle on fractal dimension measurements for brittle materials

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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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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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