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Self-similarity and crack growth instability in the correlation between the Paris’ constants

Carpinteri, Alberto and Paggi, Marco Self-similarity and crack growth instability in the correlation between the Paris’ constants. Engineering Fracture Mechanics, 74 (7). 1041 - 1053. ISSN 0013-7944 (2007)

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Abstract

In this note the question about the existence of a correlation between the parameters C and m of the Paris’ law is re-examined. According to dimensional analysis and incomplete self-similarity concepts applied to the linear range of fatigue crack growth, a power-law asymptotic representation relating the parameter C to m and to the governing variables of fatigue is derived. Then, from the observation that the Griffith–Irwin instability must coincide with the Paris’ instability at the onset of rapid crack growth, the exponents entering this correlation are determined. A fair good agreement is found between the proposed theory and extensive experimental data.

Item Type: Article
Identification Number: 10.1016/j.engfracmech.2006.12.007
Uncontrolled Keywords: Fatigue crack growth; Paris’ law; Paris’ constants; Dimensional analysis; Incomplete self-similarity; Crack growth instability; Loading ratio
Subjects: T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Prof Marco Paggi
Date Deposited: 25 Nov 2013 15:07
Last Modified: 09 Oct 2014 09:20
URI: http://eprints.imtlucca.it/id/eprint/1955

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