Analyse asymptotique de milieux élastiques stratifiés dans les espaces de fonctions à déformation bornée

We analyse the asymptotic behaviour of solutions to problems of the type (1) in the case where the Lamé coefficients only depend on the variable x1, are bounded in L1(0,L), and 1με is bounded in L1(0,L). We determine the limit problem under the assumptions (2). Our method applies as well to the heat equation, extending to the general anisotropic setting the results of G. Bouchitté and C. Picard (Appl. Anal. 61 (1996) 307-341).