1992
DOI: 10.1111/j.1151-2916.1992.tb05489.x
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Fractal Characteristics of Fracture Surfaces

Abstract: 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 (OF) to other physical or mechanical properties. In this study, we obtained the … Show more

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Cited by 24 publications
(6 citation statements)
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“…for an infinitely thick sample, the mirror constant, A m , can be expressed as follows: truelimHAnormalm=truelimHAmd=KICY02cnormalo/Rnormalm1/2KICY02DFor an infinitely thick sample, the most likely shape for the initial flaw after subcritical crack growth is a/c = 0.85, as shown by Dwivedi et al ., corresponding to Y 0 ≈ 1.3. Various studies estimate the fractal exponent D * for SLG ( D * = 0.08), BSG ( D * = 0.07–0.10) and ASG 7 ( D * = 0.08). In all cases, only thick samples were considered in the estimation of D *.…”
Section: Discussionmentioning
confidence: 99%
“…for an infinitely thick sample, the mirror constant, A m , can be expressed as follows: truelimHAnormalm=truelimHAmd=KICY02cnormalo/Rnormalm1/2KICY02DFor an infinitely thick sample, the most likely shape for the initial flaw after subcritical crack growth is a/c = 0.85, as shown by Dwivedi et al ., corresponding to Y 0 ≈ 1.3. Various studies estimate the fractal exponent D * for SLG ( D * = 0.08), BSG ( D * = 0.07–0.10) and ASG 7 ( D * = 0.08). In all cases, only thick samples were considered in the estimation of D *.…”
Section: Discussionmentioning
confidence: 99%
“…Baran, Roques-Carmes et al (1992) examined the fractal dimension D of fractures and the fracture toughness K IC of glass and porcelain. K IC was measured by an indentation method, D by the Minkowski variational method applied to profiles.…”
Section: Brittle Fracturementioning
confidence: 99%
“…The glass phase was deduced as the key factor of service life for refractories at high temperatures. Irregular fracture surfaces could be characterized by using the fractal dimension based on self-similarity 28 . The correlation between fractal dimension and mechanical properties depended on the microstructure and phase of the materials 29,30 .…”
Section: Resultsmentioning
confidence: 99%