Boundary effects in fibered-reinforced media

We consider a homogeneous medium reinforced with a epsilon -periodic lattic e of high conductivity cylinders of radius epsilonr(epsilon). This fibered structure is distant of d(epsilon) > 0 from the boundary of the homogeneous medium. We study the nonlocal asymptotic behavior of the composite medium. According to the limit of the ratio d(epsilon)/r(epsilon)(2), we obtain di fferent boundary conditions satisfied by the Green function of the nonlocal term. (C) 2001 Academie des sciences/Editions scientifiques et medicales E lsevier SAS.