Effective macroscopic description for heat conduction in periodic composites
Ewaryst Wierzbicki, Dorota Kula, Łukasz Wodzyński · AIP conference proceedings · 2018
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.