Morphology of two-dimensional fracture surfaces

We consider the morphology of two-dimensional cracks observed in experimental results obtained from paper samples and compare these results with the numerical simulations of the random fuse model (RFM). We demonstrate that the data obey multiscaling at small scales but cross over to self-affine scal...

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Bibliographic Details
Published inJournal of statistical mechanics Vol. 2006; no. 10; p. L10002
Main Authors Alava, Mikko J, Nukala, Phani K V V, Zapperi, Stefano
Format Journal Article
LanguageEnglish
Published United States IOP Publishing 01.10.2006
Subjects
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
FRACTURES
MATERIALS SCIENCE
MORPHOLOGY
ROUGHNESS
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Summary:We consider the morphology of two-dimensional cracks observed in experimental results obtained from paper samples and compare these results with the numerical simulations of the random fuse model (RFM). We demonstrate that the data obey multiscaling at small scales but cross over to self-affine scaling at larger scales. Next, we show that the roughness exponent of the random fuse model is recovered by a simpler model that produces a connected crack, while a directed crack yields a different result, close to a random walk. We discuss the multiscaling behaviour of all these models.
Bibliography:DE-AC05-00OR22725
USDOE Office of Science (SC)
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/2006/10/L10002