TY  - JOUR
N2  - In this note the question about the existence of a correlation between the parameters C and m of the Paris? law is re-examined. 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 fatigue 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 theory and extensive experimental data. 
VL  - 74
IS  - 7
TI  - Self-similarity and crack growth instability in the correlation between the Paris? constants 
A1  - Carpinteri, Alberto
A1  - Paggi, Marco
AV  - none
SP  - 1041 
EP  -  1053
Y1  - 2007///
ID  - eprints1955
JF  - Engineering Fracture Mechanics
SN  - 0013-7944
KW  - Fatigue crack growth; Paris? law; Paris? constants;   Dimensional analysis; Incomplete self-similarity; Crack growth instability; Loading ratio
PB  - Elsevier
UR  - http://www.sciencedirect.com/science/article/pii/S0013794406004607
ER  -