On the dependency of the parameters of fatigue crack growth from the fractal dimension of rough crack profiles-Reference-Cited by-同舟云学术

On the dependency of the parameters of fatigue crack growth from the fractal dimension of rough crack profiles

Published:2013-12-12 Issue:12 Volume:228 Page:2059-2067
ISSN:0954-4062
Container-title:Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
language:en
Short-container-title:Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Author:

Paggi M¹,Plekhov O²

Affiliation:

1. Department of Structural, Geotechnical and Building Engineering, Politecnico di Torino, Torino, Italy

2. Institute of Continuous Media Mechanics of Russian Academy of Sciences, Perm, Russia

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 = 2 D/(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.

Publisher

SAGE Publications

Subject

Mechanical Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/0954406213515643

Reference34 articles.

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