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A Mixture Theory for Heat Conduction in Laminated Composites
Author(s) -
Murakami H.,
Maewal A.,
Hegemier G. A.
Publication year - 1981
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.19810610705
Subject(s) - thermal conduction , homogeneous , materials science , binary number , temperature gradient , space (punctuation) , composite material , mechanics , thermodynamics , mathematics , physics , computer science , meteorology , arithmetic , operating system
An asymptotic method of multiple scales is used to construct a continuum theory with microstructure for heat conduction of a periodically laminated medium. The resulting theory is in the form a homogeneous binary mixture theory with a common microtemperature gradient oriented normal to the interfaces. The model contains three conservation equations which include averaged temperatures of two constituents and microtemperature gradient. Finally, the mixture equations are applied for heat conduction in obliquely laminated half space which is suddenly heated on its free surface, and the effect of lay‐up angle is clarified.