eprintid: 2301
rev_number: 9
eprint_status: archive
userid: 56
dir: disk0/00/00/23/01
datestamp: 2014-10-09 08:59:38
lastmod: 2014-10-09 08:59:38
status_changed: 2014-10-09 08:59:38
type: article
metadata_visibility: show
creators_name: Paggi, Marco
creators_name: Plekhov, Oleg
creators_id: marco.paggi@imtlucca.it
creators_id: poa@icmm.ru
title: On the dependency of the parameters of fatigue crack growth from the fractal dimension of rough crack profiles
ispublished: pub
subjects: Q1
subjects: TJ
divisions: CSA
full_text_status: public
abstract: A theoretical study based on dimensional analysis and fractal geometry of crack profiles is proposed to establish the relation between their fractal dimension D (1<D<2) and the parameters defining the fatigue crack propagation rate. The exponent m of the Paris' law is found to be an increasing function of the fractal dimension of the crack profile, m=2D/(2-D). This trend is confirmed by a quantitative analysis of fractographic images of Titanium alloys with different grain sizes (different roughness of crack profiles), by a new experimental test and by an indirect estimation of D from crack growth equations accounting from crack-size effects in Steel and Aluminum. The present study can be considered as the first quantitative analysis of fractographic images aiming at relating the morphological features of cracks to their kinetics in fatigue.
date: 2014
date_type: published
publication: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
volume: 228
number: 12
publisher: Sage
pagerange: 2059-2067
refereed: TRUE
issn: 0954-4062
official_url: http://dx.doi.org/10.1177/0954406213515643
related_url_url: http://arxiv.org/abs/1410.0266
funders: European Reserarch Council
funders: Italian Ministry of Education, University and Research 
projects: ERC Starting Grant CA2PVM 306622
projects: FIRB Futuro in Ricerca RBFR107AKG
citation:   Paggi, Marco and Plekhov, Oleg  On the dependency of the parameters of fatigue crack growth from the fractal dimension of rough crack profiles.  Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 228 (12).  pp. 2059-2067.  ISSN 0954-4062      (2014)  
document_url: http://eprints.imtlucca.it/2301/1/1410.0266.pdf