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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.
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Avik P. Chatterjee (2006) studied this question.
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