Bootstrap analysis of FCGR, application to the Paris relationship and to lifetime prediction

Citation
M. Bigerelle et A. Iost, Bootstrap analysis of FCGR, application to the Paris relationship and to lifetime prediction, INT J FATIG, 21(4), 1999, pp. 299-307
Citations number
15
Categorie Soggetti
Material Science & Engineering
Journal title
INTERNATIONAL JOURNAL OF FATIGUE
ISSN journal
01421123 → ACNP
Volume
21
Issue
4
Year of publication
1999
Pages
299 - 307
Database
ISI
SICI code
0142-1123(199904)21:4<299:BAOFAT>2.0.ZU;2-3
Abstract
Dealing with fatigue crack propagation, this paper aims to report on a stat istical method to determine the coefficients C and n of the Paris relations hip and the range along which the equation holds. The Probability Density F unction (PDF) of those coefficients was calculated using a bootstrap techni que. Then a 3-segment piece-wise linear regression FCGR was used to modeliz e the whole fatigue crack growth data. The statistical results are finally applied on a classical fracture mechanic problem to obtain the PDF lifetime prevision. The PDF lifetime obeys a Gaussian or lognormal PDF which depend s on the variance of the initial crack's length. (C) 1999 Elsevier Science Ltd. All rights reserved.