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A model for the elastic moduli of three-dimensional fiber networks and nanocomposites

J. Appl. Phys. 100, 054302 (2006); doi:10.1063/1.2336088

Published 1 September 2006

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Avik P. Chatterjee
Department of Chemistry, 220 Edwin C. Jahn Laboratory, SUNY-ESF, 1 Forestry Drive, Syracuse, New York 13210
A model is developed for the tensile and shear elastic moduli of three-dimensional fiber networks. The semiempirical Halpin-Tsai [J. C. Halpin and J. L. Kardos, J. Appl. Phys. 43, 2235 (1972)] equations for fiber-reinforced materials are combined with results from percolation theory and the present treatment of elastic fiber networks. A unified description of the moduli of nanocomposites containing elongated filler particles over a range of volume fractions spanning the filler percolation threshold is provided. Estimates are developed for the strains at the elastic limits under tensile and shear deformation, and model calculations are presented for the dependences of composite moduli and yield strains on particle aspect ratios and volume fractions. ©2006 American Institute of Physics
History: Received 30 March 2006; accepted 26 June 2006; published 1 September 2006
Permalink: http://link.aip.org/link/?JAPIAU/100/054302/1
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KEYWORDS and PACS

Keywords
PACS
  • 81.40.Jj
    Elasticity and anelasticity, stress-strain relations
  • 62.20.Dc
    Elasticity, elastic constants
  • 81.40.Lm
    Deformation, plasticity, and creep
  • 62.20.Fe
    Deformation and plasticity including yield, ductility, and superplasticity
  • YEAR: 2006

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PUBLICATION DATA

ISSN:
0021-8979 (print)   1089-7550 (online)
Publisher:
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