Are the Paris’ law parameters dependent on each other?

The question about the existence of a correlation between the parameters C and m of the Paris’ law is re-examined in this paper. According to dimensional analysis and incomplete self-similarityconcepts applied to the linear range of fatigue crack growth, a power-law asymptotic representation relatin...

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Bibliographic Details
Main Authors: Marco Paggi, Alberto Carpinteri
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2007-10-01
Series:Fracture and Structural Integrity
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Online Access:http://www.gruppofrattura.it/pdf/rivista/numero2/numero_2_art_2.pdf
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Summary:The question about the existence of a correlation between the parameters C and m of the Paris’ law is re-examined in this paper. According to dimensional analysis and incomplete self-similarityconcepts 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 the fatigue phenomenon 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 correlation and the experimental data concerning Aluminium, Titanium and steel alloys.
ISSN:1971-8993