eprintid: 1955
rev_number: 6
eprint_status: archive
userid: 56
dir: disk0/00/00/19/55
datestamp: 2013-11-25 15:07:49
lastmod: 2014-10-09 09:20:25
status_changed: 2013-11-25 15:07:49
type: article
metadata_visibility: show
creators_name: Carpinteri, Alberto
creators_name: Paggi, Marco
creators_id: 
creators_id: marco.paggi@imtlucca.it
title: Self-similarity and crack growth instability in the correlation between the Paris’ constants 
ispublished: pub
subjects: TJ
divisions: CSA
full_text_status: none
keywords: Fatigue crack growth; Paris’ law; Paris’ constants;   Dimensional analysis; Incomplete self-similarity; Crack growth instability; Loading ratio
abstract: 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. 
date: 2007
date_type: published
publication: Engineering Fracture Mechanics
volume: 74
number: 7
publisher: Elsevier
pagerange: 1041 - 1053
id_number: 10.1016/j.engfracmech.2006.12.007
refereed: TRUE
issn: 0013-7944
official_url: http://www.sciencedirect.com/science/article/pii/S0013794406004607
citation:   Carpinteri, Alberto and Paggi, Marco  Self-similarity and crack growth instability in the correlation between the Paris’ constants.  Engineering Fracture Mechanics, 74 (7).  1041 - 1053.  ISSN 0013-7944      (2007)