Homogenization cases of heat transfer in structures with interfacial barriers

Abstract : The paper study the asymptotic behaviour of the heat transfer in a bounded domain formed by two interwoven connected components separated by an interface on which the heat flux is continuous and the temperature subjects to a first-order jump condition. The macroscopic laws and their effective coefficients are obtained by means of the two-scale convergence technique of the periodic homogenization theory for several orders of magnitude of the conductivities and of the jump transmission coefficient.