Are the Paris’ law parameters dependent on each other?

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 rela...

Full description

Saved in:
Bibliographic Details
Main Authors: Alberto Carpinteri, Marco Paggi
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2013-04-01
Series:Fracture and Structural Integrity
Online Access:https://www.fracturae.com/index.php/fis/article/view/13
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1971-8993