In order to explore the behavior of matrix-filler bilaminate MFMFM… near the interfaces it is necessary to augment it into a trilaminate MBFBMBF… arrangement (of volume fractions fM, fB, fF), and then consider the condition that the binder layer is infinitely thin, fB → 0. In a previous paper [1] the problem was considered for high frequencies ω of the boundary temperature excitation T(0, y, t) = e−iwtχ(y), using power series representation for the eigenvalues descending in ω1/2 powers. In the first part of the present paper the low frequency regime is determined, using eigenvalue expansions in ascending powers of ω. The second part of the paper is devoted to exhibiting the interface layer as a shock layer across which there occur temperature jump and flux jump, of unexpected nature.
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September 1979
Research Papers
Longitudinal Heat Propagation in Three-Phase Laminated Composites at Low Exciting Frequencies
B. Gold
Department of Mathematics, University of Massachusetts, Amherst, Mass. 01003
G. Horvay
Department of Civil Engineering, University of Massachusetts, Amherst, Mass. 01003
J. Appl. Mech. Sep 1979, 46(3): 557-562 (6 pages)
Published Online: September 1, 1979
Article history
Received:
October 1, 1978
Revised:
January 1, 1979
Online:
July 12, 2010
Citation
Gold, B., and Horvay, G. (September 1, 1979). "Longitudinal Heat Propagation in Three-Phase Laminated Composites at Low Exciting Frequencies." ASME. J. Appl. Mech. September 1979; 46(3): 557–562. https://doi.org/10.1115/1.3424605
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