Monte Carlo Modelling of the Effective Diffusivity in Composite Material

Abstract:

Article Preview

In this paper we perform a systematic Monte Carlo study of the effective diffusivity in a 2D composite in which the dispersed phase (squares) is arranged in square planar and brick-work patterns within the matrix phase. We focus on the commonly encountered case where the dispersed phase has a much lower diffusivity than the matrix and where the segregation of the diffusant favours the matrix phase. It is found that while the generalized Maxwell-Garnett Equation generally describes the effective diffusivity semi-quantitatively, in order to have an accurate representation of the effective diffusivity at moderate volume fractions of the dispersed phase, it is necessary to use a more refined Maxwell-Garnett Equation that takes into account the actual shape and geometry of the dispersed phase.

Info:

Periodical:

Defect and Diffusion Forum (Volumes 261-262)

Edited by:

David J. Fisher

Pages:

103-108

DOI:

10.4028/www.scientific.net/DDF.261-262.103

Citation:

I. V. Belova and G. E. Murch, "Monte Carlo Modelling of the Effective Diffusivity in Composite Material", Defect and Diffusion Forum, Vols. 261-262, pp. 103-108, 2007

Online since:

January 2007

Export:

Price:

$35.00

In order to see related information, you need to Login.

In order to see related information, you need to Login.