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

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Abstract
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…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.

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