Homogenization of Heat Transfer Process in Composite Materials

In this paper, we adapt the periodic unfolding method to study the asymptotic behavior, as ɛ tends to zero, of a class of stationary heat problems on composite materials consisting of two connected constituents which are ɛ-periodically distributed. The nonlinear transfer condition on the interface is assumed to depend on a real parameter γ. We first survey compactness results and the relationship between the traces of two unfolding operators corresponding to the two components. Then, we study the homogenization and corrector results for the problem for the different values. The homogenization result for the case γ = 1 completes the previous works in the literature. © 2015, Orthogonal Publishing.