Fractal Characteristics of Fracture Surfaces
作者:
George R. Baran,
Claude Roques‐Carmes,
Dohloul Wehbi,
Michel Degrange,
期刊:
Journal of the American Ceramic Society
(WILEY Available online 1992)
卷期:
Volume 75,
issue 10
页码: 2687-2691
ISSN:0002-7820
年代: 1992
DOI:10.1111/j.1151-2916.1992.tb05489.x
出版商: Blackwell Publishing Ltd
数据来源: WILEY
摘要:
Quantitative fractography is often used to study material failure mechanisms. During calculation of surface or profile roughness parameters, the magnification used in obtaining fractographic data is found to influence the value of the parameters. Fractal geometry has been developed into a tool capable of defining surface and profile topography without sensitivity to magnification, and several studies have related fractal dimension (DF) to other physical or mechanical properties. In this study, we obtained the fractal dimension of profiled fracture surfaces of one glass and three proprietary dental porcelains. The fracture toughness (K1c) of these materials was also measured using the indentation‐strength method. Results show the surfaces to be fractal. No quantitative relationship between fractal dimension and toughness was found. Differences inK1cwere demonstrated between some materials. It is postulated that the size range within which fractal dimension can be defined as constant is dependent on the toughening mechanism, and that the relationship betweenKIcandDFcannot be identical for all material
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