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Maxwell-Garnett type approximation for nonlinear composites with shape distribution by Lei Gao is a Physics and Astronomy article available to read on EtoBox.

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Maxwell-Garnett type approximation is derived to investigate the effective linear and nonlinear responses of nonlinear composites in which randomly-oriented nonspherical granular inclusions with shape variance distribution are embedded in the host medium. The granular inclusions with the volume fraction f and the host medium with the volume fraction 1f are assumed to obey a current-field J-E relation of the form J = σ i E + χ i |E| 2 E, where σ i and χ i are the linear conductivity and nonlinear response of component i (i = 1, 2). Within the mean-field approximation, we numerically calculate the effects of the shape variance parameter ∆ on the effective linear conductivity σ e and effective nonlinear response χ e . We find that σ e is a monotonically increasing or decreasing function with ∆, dependent on whether the granular inclusions are a good or poor conductor. For the granular inclusions being nonlinear, χ e exhibits monotonic increase; but for the host medium being nonlinear, χ e can take on monotonic increase, monotonic decrease and even nonmonotonic behavior. In both nonlinear cases, large enhancement of the effective nonlinear response may be observed when the nonlinear co

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Author

Lei Gao

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0375-9601)

Published

2003

Language

EN

Field

Physics and Astronomy (Physical Sciences)