Journal
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
Volume 333, Issue 3, Pages 173-177Publisher
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/S0764-4442(01)02016-X
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We consider a homogeneous medium reinforced with a epsilon -periodic lattice 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 different boundary conditions satisfied by the Green function of the nonlocal term. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
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