A Continuum Model for Diffusion in Laminated Composite Media

[+] Author and Article Information
A. Maewal, G. A. Hegemier

Department of A.M.E.S., University of California, San Diego, Calif.

T. C. Bache

Systems, Science & Software, La Jolla, Calif.

J. Heat Transfer 98(1), 133-138 (Feb 01, 1976) (6 pages) doi:10.1115/1.3450456 History: Received June 30, 1975; Online August 11, 2010


Using a method developed for studying wave propagation problems, a continuum theory is developed for diffusion-type processes in a laminated composite with periodic micro-structure. Construction is based upon an asymptotic scheme in which a typical macrodimension is assumed large compared to a microdimension. The order of truncation of the asymptotic sequence so obtained defines a hierarchy of models. Solutions are given for the lowest-order models and compared with the results from a finite difference code. For most cases the zeroth-order “effective conductivity” theory yields good results. For exceptional problems requiring a higher-order theory, a modified version of the first-order theory is shown to suffice. For many applications these elementary equations may offer an attractive alternative to other means for obtaining solutions.

Copyright © 1976 by ASME
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