%P 10-16 %T Are the Paris? law parameters dependent on each other? %I Gruppo Italiano Frattura %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. %D 2007 %L eprints1949 %A Alberto Carpinteri %A Marco Paggi %K Fatigue crack growth, Paris? law parameters, Correlation, Dimensional analysis, Griffith-Irwin instability. %R 10.3221/IGF-ESIS.02.02 %J Frattura ed Integrit? Strutturale