Incomplete self-similarity and fatigue-crack growth

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)197-203
Journal / PublicationInternational Journal of Fracture
Issue number3
Publication statusPublished - Apr 2005
Externally publishedYes


The Paris power law, which relates fatigue-crack growth rates to the applied stress-intensity range, is an example of a scaling law with the inherent property of incomplete similarity. Previous considerations of dimensions and self-similarity have suggested that the assumed 'materials constants' in this law are also a function of specimen size. In this note, the question of the size-dependence of the Paris law is re-examined, and through comparison to a larger body of fatigue-crack growth data in steels, physical explanations why such scaling effects may exist are deduced. © Springer 2005.

Research Area(s)

  • Fatigue-crack growth, Incomplete similarity, Paris law, Scaling laws