کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
797342 | 1467088 | 2013 | 20 صفحه PDF | دانلود رایگان |
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.
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► An analytical model for the longitudinal tensile strength of composites is derived.
► Weibull fibres are assembled into bundles of bundles, which fail hierarchically.
► A shear-lag matrix model confines stress concentrations and bridges fibre breaks.
► Size effects depend on the matrix but tend asymptotically to a weakest link model.
► Predicted strength distributions are successfully validated against experiments.
Journal: Journal of the Mechanics and Physics of Solids - Volume 61, Issue 6, June 2013, Pages 1337–1356