%0 Book Section %A Carpinteri, Alberto %A Paggi, Marco %B IGF 19: Atti del XIX convegno nazionale del Gruppo Italiano Frattura %D 2007 %F eprints:1948 %I Gruppo Italiano Frattura %P 217-224 %T Are the Paris' law parameters dependent on each other? %U http://eprints.imtlucca.it/1948/ %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 %Z 19° Convegno Nazionale del Gruppo Italiano Frattura, Milano, Italy, 2-4 July 2007