Longitudinal Heat Propagation in Three-Phase Laminated Composites at High Exciting Frequencies

[+] Author and Article Information
G. Horvay

University of Massachusetts, Amherst, Mass.

B. Gold

Department of Mathematics, University of Massachusetts, Amherst, Mass.

E. S. Kaczenski

American Bosch Div. of AMBAC, Springfield, Mass.; University of Massachusetts, Amherst, Mass.

J. Heat Transfer 100(2), 281-287 (May 01, 1978) (7 pages) doi:10.1115/1.3450796 History: Received October 19, 1977; Online August 11, 2010


The performance of a laminated composite depends critically on the behavior of the interfaces. This behavior cannot be explored with the usual analysis which employs a smearing out of the temperature across the widths of the laminas, but requires a rigorous solution of the problem in the vicinity of the interfaces. This task can be accomplished by augmenting the usual bilaminate arrangement of matrix M and filler F with binder layers B (of volume fractions fM , fF , fB ) into trilaminates MBFBMBF[[ellipsis]]and then considering the condition fB → 0. The unexpected result is obtained that for high exciting frequencies ω the case fB → 0 does not reduce to the case fB = 0. This thrusts into the foreground two questions: (a) What are the physical implications of such an “unreasonable” result? (b) What constitutes high frequency, what constitutes low frequency? The problem posed admits a rigorous solution.

Copyright © 1978 by ASME
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