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Statistics of
microstructure, peak stress and interface damage in fiber
reinforced composites
Volodymyr I. Kushch, Sergii V. Shmegera and Leon Mishnaevsky Jr. |
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Vol. 4 (2009), No. 6, 1089–1107
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Abstract |
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This paper addresses an effect of the fiber arrangement and interactions on the peak interface stress statistics in a fiber reinforced composite material (FRC). The method we apply combines the multipole expansion technique with the representative unit cell model of composite bulk, which is able to simulate both the uniform and clustered random fiber arrangements. By averaging over a number of numerical tests, the empirical probability functions have been obtained for the nearest neighbor distance and the peak interface stress. It is shown that the considered statistical parameters are rather sensitive to the fiber arrangement, particularly cluster formation. An explicit correspondence between them has been established and an analytical formula linking the microstructure and peak stress statistics in FRCs has been suggested. Application of the statistical theory of extreme values to the local stress concentration study has been discussed. It is shown that the peak interface stress distribution in the fibrous composite with uniform random microstructure follows a Fréchet-type asymptotic distribution rule. Based on the established statistical distributions, a simple microdamage model of FRC is suggested. |
Milestones
Received: 24 November 2008
Revised: 7 April 2009
Accepted: 19 June 2009
Published: 14 September 2009
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Authors |
| Volodymyr I. Kushch | |
| National Academy of Sciences of
Ukraine Institute for Superhard Materials 2 Avtozavodskaya St. Kiev 04074 Ukraine |
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| Sergii V. Shmegera | |
| National Academy of Sciences of
Ukraine Institute for Superhard Materials 2 Avtozavodskaya St. Kiev 04074 Ukraine |
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| Leon Mishnaevsky Jr. | |
| Technical University of
Denmark Risø National Laboratory for Sustainable Energy Frederiksborgvej 399 4000 Roskilde Denmark |
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