期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 61, 期 6, 页码 1337-1356出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2013.02.004
关键词
Strengthening and mechanisms; Fibre-reinforced composite material; Probability and statistics; Size effects
资金
- Portuguese Foundation for Science and Technology [SFRH/BD/44051/2008]
- EPSRC [EP/I030034/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/I030034/1] Funding Source: researchfish
- Fundação para a Ciência e a Tecnologia [SFRH/BD/44051/2008] Funding Source: FCT
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. (C) 2013 Elsevier Ltd. All rights reserved.
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