@article{eprints1949, publisher = {Gruppo Italiano Frattura}, title = {Are the Paris? law parameters dependent on each other?}, author = {Alberto Carpinteri and Marco Paggi}, year = {2007}, journal = {Frattura ed Integrit{\`a} Strutturale}, pages = {10--16}, volume = {2}, url = {http://eprints.imtlucca.it/1949/}, abstract = {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.}, keywords = {Fatigue crack growth, Paris? law parameters, Correlation, Dimensional analysis, Griffith-Irwin instability.} }