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Fractal Dimension for Ceramic Fracture Surface

Published online by Cambridge University Press:  26 February 2011

Jerzy Bielecki and
Piotr Kotowski
Jerzy Bielecki
Affiliation:
jerzy.bielecki@ien.com.pl, Institute of Power Energy, Poland
Piotr Kotowski
Affiliation:
piotr.kotowski@pwr.wroc.pl, Wroclaw University of Technology, I-19, Smoluchowskiego 25, Wroclaw, N/A, N/A, Poland
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Abstract

An investigation of an influence of loading parameters on fractal dimension of electrotechnical ceramics fracture has been presented. Investigation objects were samples made of C110 and C130 ceramics. Specimens were breaking under cyclic and static loading conditions. To estimate fractal characteristics a method used for metals fracture had been adapted. Fractal dimensions were estimated for profiles obtained by the vertical cross section method. Obtained results show that fractal dimension does not characterises the material. That dimension does not characterises loading conditions, as well.

Keywords

fractalfatigueceramic

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References

1 Mandelbrot, B.B., “The fractal geometry of nature”, (Freeman, 1982).Google Scholar
2 Brown, S.R., Scholz, C.H., “Broad bandwidth study of the topography of natural rock surfaces”, Journal of Geophysics Research 90B, (1985).Google Scholar
3 Carpinteri, A., Chiaia, B., Maradei, F., “Experimental determination of the fractal dimension of disordered fracture surfaces”, In Advanced Technology for Design and Fabrication of Composite Materials and Structures, (Kluwer, 1995).Google Scholar
4 Sumiyoshi, H., Matsuoka, S., Ishikawa, K., Nihei, M., “Fractal characteristic of scanning tunneling microscopic images of brittle fracture surfaces on molybdenum”, JSME Int. J. 35. (1992).Google Scholar
5 Kotowski, P., Rybaczuk, M., Stoppel, P., “Crack resistance and fractal dimension. The method of the fractal dimension deterination” in polish, XVII Sympozjum Mechaniki Eksperymentalnej Ciała Stałego, Warszawa, (1996).Google Scholar
6 Kotowski, P., “Surface fracture fractal characteristics for Armco iron” in polish, XVIII Sympozjum Zmęczenia Materiałów i Konstrukcji, Bydgoszcz, (2000).Google Scholar
7 Kotowski, P., “Correlation between selected mechanical and fractal characteristics for 40H steel” in polish, Sympozium Mechaniki Zniszczenia Materiałów i Konstrukcji, Augustów, (2001).Google Scholar
8 Bouchaud, E., Lapasset, G., Planes, J., “Fractal dimension of fractured surfaces: a Universal Value?”, Europhys. Lett. 13, (1990).Google Scholar
9 Bielecki, J., “An influence of cyclic loading on electrical power engineering insulators mechanical strength – basic experimental work” in polish, Materiały Sympozjum Technicznego 10-lecie Spółki Akcyjnej Zpe Zapel S.A. Wyd. Zapel S.A. Boguchwała (2002).Google Scholar
10 Wańkowicz, J., “Materials for electrotechnics” in polish, Energetyka nr 7/2001.Google Scholar
11 Wańkowicz, J., “Problems of using and investigation of electrical power engineering insulators” in polish, CIGRE'2000, Biuletyn Techniczny Energoprojektu Kraków S.A., (2000).Google Scholar