Paggi, Marco and Carpinteri, Alberto Fractal and multifractal approaches for the analysis of crack-size dependent scaling laws in fatigue. Chaos, Solitons and Fractals, 40 (3). 1136 - 1145. ISSN 0960-0779 (2009)
Full text not available from this repository.Abstract
The enhanced ability to detect and measure very short cracks, along with a great interest in applying fracture mechanics formulae to smaller and smaller crack sizes, has pointed out the so-called anomalous behavior of short cracks with respect to their longer counterparts. The crack-size dependencies of both the fatigue threshold and the Paris’ constant C are only two notable examples of these anomalous scaling laws. In this framework, a unified theoretical model seems to be missing and the behavior of short cracks can still be considered as an open problem. In this paper, we propose a critical reexamination of the fractal models for the analysis of crack-size effects in fatigue. The limitations of each model are put into evidence and removed. At the end, a new generalized theory based on fractal geometry is proposed, which permits to consistently interpret the short crack-related anomalous scaling laws within a unified theoretical formulation. Finally, this approach is herein used to interpret relevant experimental data related to the crack-size dependence of the fatigue threshold in metals.
| Item Type: | Article |
|---|---|
| Identification Number: | https://doi.org/10.1016/j.chaos.2007.08.068 |
| Subjects: | T Technology > TJ Mechanical engineering and machinery |
| Research Area: | Computer Science and Applications |
| Depositing User: | Prof Marco Paggi |
| Date Deposited: | 29 Nov 2013 11:55 |
| Last Modified: | 09 Oct 2014 09:20 |
| URI: | http://eprints.imtlucca.it/id/eprint/1971 |
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