Journal article
Asymptotic bounds on the time to fatigue failure of bundles of fibers under local load sharing
Advances in applied probability, Vol.14(1), pp.95-121
03/1982
DOI: 10.2307/1426735
Abstract
A fiber bundle is a parallel arrangement of fibers. Under a steady tensile load, fibers fail randomly in time in a manner that depends on how they share the applied load. The bundle fails when all its fibers have failed in a specified region. In this paper we consider the fatigue failure of such a bundle in a fiber load-sharing setting appropriate for composite materials, that is, to bundles impregnated with a flexible matrix. The bundle is actually modelled as a chain of short bundles, and local load sharing is assumed for the fibers within each short bundle. The chain of bundles fails once all the fibers in one of the short bundles have failed. Reasonable assumptions are made on the stochastic failure of individual fibers. A general framework for describing fiber bundles is developed and is used to derive the limiting distribution of the time to the first appearance of a set of k or more adjacent failed fibers as the number of fibers in the bundle grows large. These results provide useful bounds on the distribution of the time to total bundle failure. Some implications and extensions of these results are discussed.
Details
- Title: Subtitle
- Asymptotic bounds on the time to fatigue failure of bundles of fibers under local load sharing
- Creators
- Luke Tierney - Carnegie Mellon University
- Resource Type
- Journal article
- Publication Details
- Advances in applied probability, Vol.14(1), pp.95-121
- Publisher
- Cambridge University Press
- DOI
- 10.2307/1426735
- ISSN
- 0001-8678
- eISSN
- 1475-6064
- Number of pages
- 27
- Alternative title
- Luke Tierney; Fatigue Failure of Bundles of Fibers
- Language
- English
- Date published
- 03/1982
- Academic Unit
- Statistics and Actuarial Science
- Record Identifier
- 9984257728902771
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