Effective macroscopic description for heat conduction in periodic composites

Abstract

Abstract. The investigation of solutions to heat transfer problems in periodic composites very often lead to the development of a certain extension of tolerance modelling to the case in which the role of shape functions is fulfilled by elements of a certain orthogonal Fourier basis. We are to show how establish such kind of extension and apply obtained result to formulate the homogenized description of heat transfer processes. Considerations are illustrated by the formulation of approximated solutions to the Effective Heat Conduction Problem for blocked-type periodic composites.

A contribution to the modelling of heat conduction for cylindrical composite conductors with non-uniform distribution of constituents

“…We can mention here also a series of papers where problems of heat conduction were analysed, e.g. [9,8,19,21,24]. In the books edited by Woź niak et al [26,28] the extended list of references on this subject can be found.…”