R. Abdelmoula, M. Coutris, and J. Marigo, Comportement asymptotique d'une interphase ??lastique mince, Comptes Rendus de l'Acad??mie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy, vol.326, issue.4, pp.237-242, 1998.
DOI : 10.1016/S1251-8069(98)80032-8

R. Abdelmoula and J. J. Marigo, The effective behavior of a fiber bridged crack, Journal of the Mechanics and Physics of Solids, vol.48, issue.11, pp.2419-2444, 2000.
DOI : 10.1016/S0022-5096(00)00003-X

S. Andrieux, Y. Bamberger, and J. Marigo, Un modèle de matériau microfissuré pour les bétons et les roches, Journal de Mécanique Théorique et Appliquée, vol.5, issue.3, pp.471-513, 1986.

Y. Benveniste, A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media, Journal of the Mechanics and Physics of Solids, vol.54, issue.4, pp.708-734, 2006.
DOI : 10.1016/j.jmps.2005.10.009

Y. Benveniste and T. Miloh, Imperfect soft and stiff interfaces in two-dimensional elasticity, Mechanics of Materials, vol.33, issue.6, pp.309-323, 2001.
DOI : 10.1016/S0167-6636(01)00055-2

A. L. Bessoud, F. Krasucki, and G. Michaille, Multi-materials with strong interface: variational modelings', Asymptotic Analysis, vol.61, issue.1, pp.1-19, 2009.
DOI : 10.1016/j.matpur.2009.08.004
URL : https://hal.archives-ouvertes.fr/hal-00790347

A. Bessoud, F. Krasucki, and M. Serpilli, Plate-like and shell-like inclusions with high rigidity, Comptes Rendus Mathematique, vol.346, issue.11-12, 2008.
DOI : 10.1016/j.crma.2008.03.002
URL : https://hal.archives-ouvertes.fr/hal-00574692

F. Bilteryst and J. Marigo, An energy based analysis of the pull-out problem'. Eur. J. Mech, pp.55-69, 2003.

D. Caillerie, The effect of a thin inclusion of high rigidity in an elastic body, Mathematical Methods in the Applied Sciences, vol.V, issue.n??2, pp.251-270, 1980.
DOI : 10.1002/mma.1670020302

F. Devries, H. Dumontet, G. Duvaut, and F. Lené, Homogenization and damage for composite structures, International Journal for Numerical Methods in Engineering, vol.11, issue.2, 1989.
DOI : 10.1002/nme.1620270206

H. Dumontet, Homogénéisation et effets de bords dans les matériaux composites, 1990.

G. Geymonat, F. Krasucki, and S. Lenci, Mathematical Analysis of a Bonded Joint with a Soft Thin Adhesive, Mathematics and Mechanics of Solids, vol.4, issue.2, pp.201-225, 1999.
DOI : 10.1177/108128659900400204

H. P. Huy and E. Sanchez-palencia, Ph??nom??nes de transmission ?? travers des couches minces de conductivit????lev??e, Journal of Mathematical Analysis and Applications, vol.47, issue.2, pp.284-309, 1974.
DOI : 10.1016/0022-247X(74)90023-7

A. Klarbring and A. B. Movchan, Asymptotic modelling of adhesive joints, Mechanics of Materials, vol.28, issue.1-4, pp.1-4, 1998.
DOI : 10.1016/S0167-6636(97)00045-8

F. Krasucki and S. Lenci, Analysis of interfaces of variable stiffness, International Journal of Solids and Structures, vol.37, issue.26, pp.3619-3632, 2000.
DOI : 10.1016/S0020-7683(99)00072-4

F. Krasucki and S. Lenci, Yield design of bonded joints, European Journal of Mechanics - A/Solids, vol.19, issue.4, pp.649-667, 2000.
DOI : 10.1016/S0997-7538(00)00173-X

K. Lemrabet, Leprobì eme de Ventcel pour le système de l'´ elasticité dans un domaine de R 3, 1987.

F. Léné, ContributionàContributionà l'etude des matériaux composites et de leur endommagement, Thèse de doctorat d' ´ Etat, 1984.

C. Licht and G. Michaille, A modelling of elastic adhesive bonded joints, Adv. Math. Sci. Appl, vol.7, issue.2, pp.711-740, 1997.
URL : https://hal.archives-ouvertes.fr/hal-00514578

J. Marigo, Modelling of brittle and fatigue damage for elastic material by growth of microvoids'. Eng. Fracture Mech, pp.861-874, 1985.

J. Michel, H. Moulinec, and P. Suquet, Effective properties of composite materials with periodic microstructure: a computational approach, Computer Methods in Applied Mechanics and Engineering, vol.172, issue.1-4, pp.109-143, 1999.
DOI : 10.1016/S0045-7825(98)00227-8

G. Nguetseng, Probl??mes d'??crans perfor??s pour l'??quation de Laplace, ESAIM: Mathematical Modelling and Numerical Analysis, vol.19, issue.1, pp.33-63, 1985.
DOI : 10.1051/m2an/1985190100331

G. Nguetseng and E. Sanchez-palencia, Stress concentration for defects distributed near a surface Local Effects in the Analysis of Structures, 1986.

L. R. Rose, Crack reinforcement by distributed springs, Journal of the Mechanics and Physics of Solids, vol.35, issue.4, pp.383-405, 1987.
DOI : 10.1016/0022-5096(87)90044-5

E. Sanchez-palencia, Non-homogenous Media and Vibration Theory, 1980.

E. Sanchez-palencia, Elastic body with defects distributed near a surface, 1986.
DOI : 10.1007/3-540-17616-0_14

P. Suquet, Elements of homogenization for inelastic solid mechanics, 1987.

. Zaoui, of Lecture Notes in Physics, Homogenization Techniques for Composite Media, pp.193-278

A. D. Ventcel, On boundary conditions for multi-dimensional diffusion processes'. Theor, Probability Appl, vol.4, pp.164-177, 1959.

. Laboratoire-de-mécanique-des-solides, F91128 Palaiseau cedex E-mail address: marigo@lms.polytechnique, fr Institut de Mathématiques Appliquées