Dependence of the Effective Diffusion Coefficient of a Matrix Composite on the Size of Inhomogeneities

Abstract:

The present paper focuses on calculation of the effective diffusion coefficient of a matrix composite with spherical inclusions. We address the problem of the effective diffusion coefficient dependence on the size of the inhomogeneities. In this work, the basic idea of replacing an inhomogeneous inclusion by an equivalent homogeneous one is formulated. The diffusivity contribution tensor, that characterizes the inclusion’s contribution to the overall process of diffusion, is derived in the course of analysis. It is shown that the effect of the interphase reduces the “apparent” volume fraction of inclusions. The thickness of the interphase zone is identified as the parameter of dominant importance among all the characteristics of the interphase.

• Periodical: Applied Mechanics and Materials (Volume 756)
• Pages: 389-393
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.756.389
• Online since: April 2015
• Authors: Maria A. Anisimova*, Igor Sevostianov
• Keywords: Diffusivity Contribution Tensor, Effective Diffusion Coefficient, Interphase Zone, Spherical Inclusions

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