@incollection{eprints1948, publisher = {Gruppo Italiano Frattura}, note = {19? Convegno Nazionale del Gruppo Italiano Frattura, Milano, Italy, 2-4 July 2007}, pages = {217--224}, author = {Alberto Carpinteri and Marco Paggi}, booktitle = {IGF 19: Atti del XIX convegno nazionale del Gruppo Italiano Frattura }, title = {Are the Paris' law parameters dependent on each other?}, year = {2007}, 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}, url = {http://eprints.imtlucca.it/1948/} }