Hierarchical scaling law for the strength of composite fibre bundles
Author(s)
Pimenta, S
Pinho, ST
Type
Journal Article
Abstract
This paper presents an analytical model for size effects on the longitudinal tensile strength of composite fibre bundles. The strength of individual fibres is modelled by a Weibull distribution, while the matrix (or fibre-matrix interface) is represented through a perfectly-plastic shear-lag model. A probabilistic analysis of the failure process in hierarchical bundles (bundles of bundles) is performed, so that a scaling law relating the strength distributions and characteristic lengths of consecutive bundle levels is derived. An efficient numerical scheme (based on asymptotic limits) is proposed, hence coupon-sized bundle strength distributions are obtained almost instantaneously. Parametric studies show that both fibre and matrix properties are critical for bundle strength; model predictions at different scales are validated against experimental results available in the literature.
Date Issued
2013-02-17
Citation
Journal of the Mechanics and Physics of Solids, 2013, 61 (6), pp.1337-1356
ISSN
0022-5096
Publisher
Elsevier
Start Page
1337
End Page
1356
Journal / Book Title
Journal of the Mechanics and Physics of Solids
Volume
61
Issue
6
Copyright Statement
© 2013 Elsevier Ltd. All rights reserved. NOTICE: this is the author’s version of a work that was accepted for publication in Journal of the Mechanics and Physics of Solids. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, Vol.: 61, Issue: 6, (2013) DOI: 10.1016/j.jmps.2013.02.004
Description
16.01.14 KB. Ok to add accepted version to spiral. Elsevier says ok while mandate not enforced
Identifier
https://www.imperial.ac.uk/symplecticelements/repository/files/?rep=1&pub=573177&file-url=http%3A%2F%2Fspiral.imperial.ac.uk%3A8090%2Frt4ds%2Ffile%2F25268%2FPimenta%2Band%2BPinho%2B2013%2B-%2BHierarchical%2Bscaling%2Blaw%2Bfor%2Bthe%2Bstrength%2Bof%2Bcomposite%2Bfibre%2Bbundles.pdf
Subjects
A. strengthening and mechanisms
B. fibre-rinforced composite material
C. probability and statistics
Size effects
Publication Status
Published