Transient Heat Conduction in Laminated Composites

[+] Author and Article Information
G. Horvay, R. Mani, M. A. Veluswami, G. E. Zinsmeister

Department of Mechanical and Aerospace Engineering, University of Massachusetts, Amherst, Mass.

J. Heat Transfer 95(3), 309-316 (Aug 01, 1973) (8 pages) doi:10.1115/1.3450057 History: Received March 08, 1972; Online August 11, 2010


The layers are stacked parallel to the x axis. On the half-space x ≥ 0 there is applied, at x = 0, a boundary temperature of y-periodicity conforming to the periodicity of the layered composite. The response is determined in the form of a normal mode expansion. A complex eigenvalue problem must be solved first, then the Fourier coefficients are determined from a biorthogonal expansion formula. The series converges to both the real and the imaginary parts of the prescribed input simultaneously. It is found that at low frequencies and not too small distances the static equivalent thermal constants kav , (ρc)av are applicable also in the non-static problem. This ceases to be true at high frequencies.

Copyright © 1973 by ASME
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