%0 Journal Article
%@ 1971-8993
%A Carpinteri, Alberto
%A Paggi, Marco
%D 2007
%F eprints:1949
%I Gruppo Italiano Frattura
%J Frattura ed Integrità Strutturale
%K Fatigue crack growth, Paris’ law parameters, Correlation, Dimensional analysis, Griffith-Irwin instability.
%P 10-16
%T Are the Paris’ law parameters dependent on each other?
%U http://eprints.imtlucca.it/1949/
%V 2
%X 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-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 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.