@incollection{eprints1942, author = {Alberto Carpinteri and Marco Paggi}, pages = {239--240}, publisher = {Springer }, note = {Proceedings of the 16th European Conference of Fracture, Alexandroupolis, Greece, July 3?7, 2006}, year = {2006}, booktitle = {Fracture of Nano and Engineering Materials and Structures}, title = {Correlation Between Paris? Law Parameters Based on Self-Similarity and Criticality Condition}, abstract = {Fatigue crack growth data are usually presented in terms of the crack growth rate, da / dN, and the stress-intensity factor range, {\ensuremath{\Delta}}K. The typical fatigue crack propagation curve is shown in Fig.1, where Region I is referred to as the near-threshold region, Region II as the power-law region and Region III as the rapid crack propagation region where K max {$\rightarrow$} K IC and crack growth instability occurs. In Region II the Paris? equation (Paris and Erdogan [1]) provides a good approximation to the majority of experimental data: (1) dadN=C({\ensuremath{\Delta}}K)m where C and m are empirical constants usually referred to as Paris? law parameters.}, url = {http://eprints.imtlucca.it/1942/} }