Modelling of Nonstationary Heat Conduction Problems in Micro-periodic Composites

Czeslaw Wozniak (1) , Zbigniev F. Baczynski (1) , Margaret Wozniak (2)

1 IPPT - Institute of Fundamental Technological Research
2 Department of Geotechnical and Structures Engineering

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.

Domaines: Mécanique [physics.med-ph]

Czeslaw Wozniak, Zbigniev F. Baczynski, Margaret Wozniak. Modelling of Nonstationary Heat Conduction Problems in Micro-periodic Composites. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1996, 76 (4), pp.223-229. ⟨hal-00944365⟩