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Thermal Response in Laminated Composites
Author(s) -
Manaker A. M.,
Horvay G.
Publication year - 1975
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19750550906
Subject(s) - eigenfunction , composite number , boundary (topology) , composite material , fourier transform , mathematical analysis , boundary value problem , matrix (chemical analysis) , physics , eigenvalues and eigenvectors , geometry , materials science , mathematics , quantum mechanics
A semi‐infinite laminated composite in which the matrix and filler material are aligned parallel to the heat propagation direction is considered. At x = 0, there is applied a harmonic boundary heat flux of y‐periodicity conforming to the periodicity of the layered composite. The Fourier integral solution is decomposed into normal modes. It is shown that this decomposition (which necessitates solution of a complex eigenvalue problem) permits expansion of complex boundary excitation into complex eigenfunctions, the Fourier coefficients being determined by the method of residues. A composite consisting of a nickel matrix and an aluminium filler is considered as a representative example. Real and imaginary parts of the calculated boundary flux are shown to approach the prescribed values, 1 and 0, respectively. The ensuing temperature distribution throughout the composite is also illustrated.