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Modelling of Nonstationary Heat Conduction Problems in Micro‐periodic Composites
Author(s) -
Woźaniak C.,
Baczyński Z. F.,
Woźniak M.
Publication year - 1996
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.19960760407
Subject(s) - thermal conduction , microstructure , heat transfer , conductor , materials science , steady state (chemistry) , dimension (graph theory) , modulus , range (aeronautics) , mechanics , composite material , mathematics , physics , chemistry , pure mathematics
In this contribution an averaged refined model of a rigid heat conductor with micro‐periodic structure is formulated. The proposed model describes the effect of a microstructure length dimension on the time‐dependent heat transfer processes. It is shown that this effect plays a crucial role in the analysis of nonstationary problems and hence the known effective modulus theories of heat conduction (where the microstructure is scaled down), have the range of applicability restricted to steady‐state problems.