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

G. Allaire, Homogenization and Two-Scale Convergence, SIAM Journal on Mathematical Analysis, vol.23, issue.6, 1992.
DOI : 10.1137/0523084
URL : https://hal.archives-ouvertes.fr/hal-01111805

A. Bensoussan, J. Lions, and G. Papanicolaou, Asymptotic Analysis of Periodic Structures, 1978.

Y. Berrehili and J. Marigo, Modélisation en 2D du comportement d'un composite fibréfibré`fibréà constituants décollés'. Physical and Chemical News 53, pp.10-14, 2010.

F. Bilteryst and J. J. Marigo, An energy based analysis of the pull-out problem, European Journal of Mechanics - A/Solids, vol.22, issue.1, pp.55-69, 2003.
DOI : 10.1016/S0997-7538(02)01240-8

F. Bouchelaghem, A. Benhamida, and H. Dumontet, Mechanical damage behaviour of an injected sand by periodic homogenization method, Computational Materials Science, vol.38, issue.3, pp.473-481, 2007.
DOI : 10.1016/j.commatsci.2005.12.044

B. Bourdin, G. A. Francfort, and J. Marigo, The variational approach to fracture, J. Elasticity, vol.91, pp.1-3, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00551079

A. Caporale, R. Luciano, and E. Sacco, Micromechanical analysis of interfacial debonding in unidirectional fiber-reinforced composites, Computers & Structures, vol.84, issue.31-32, pp.2200-2211, 2006.
DOI : 10.1016/j.compstruc.2006.08.023

M. Charlotte, J. Laverne, and J. Marigo, Initiation of cracks with cohesive force models: a variational approach, European Journal of Mechanics - A/Solids, vol.25, issue.4, pp.649-669, 2006.
DOI : 10.1016/j.euromechsol.2006.05.002
URL : https://hal.archives-ouvertes.fr/hal-00551071

M. David, J. Marigo, and C. Pideri, Homogenized Interface Model Describing Inhomogeneities Located on a Surface, Journal of Elasticity, vol.4, issue.1, pp.153-187, 2012.
DOI : 10.1007/s10659-012-9374-5
URL : https://hal.archives-ouvertes.fr/hal-00655496

G. A. Francfort and J. Marigo, Stable damage evolution in a brittle continuous medium', European J. Mech. A Solids, vol.12, issue.2, pp.149-189, 1993.

C. Gonzàlez and J. Llorca, Mechanical behavior of unidirectional fiber-reinforced polymers under transverse compression: Microscopic mechanisms and modeling, Composites Science and Technology, vol.67, issue.13, pp.2795-2806, 2007.
DOI : 10.1016/j.compscitech.2007.02.001

F. Greco, Homogenized mechanical behavior of composite micro-structures including micro-cracking and contact evolution, Engineering Fracture Mechanics, vol.76, issue.2, pp.182-208, 2009.
DOI : 10.1016/j.engfracmech.2008.09.006

Z. Jendli, F. Meraghni, J. Fitoussi, and D. Baptiste, Multi-scales modelling of dynamic behaviour for discontinuous fibre SMC composites, Composites Science and Technology, vol.69, issue.1, pp.97-103, 2009.
DOI : 10.1016/j.compscitech.2007.10.047
URL : https://hal.archives-ouvertes.fr/hal-00563495

M. G. Kulkarni, P. H. Geubelle, and K. Matous, Multi-scale modeling of heterogeneous adhesives: Effect of particle decohesion, Mechanics of Materials 41, pp.573-583, 2009.
DOI : 10.1016/j.mechmat.2008.10.012

V. Kushch, S. Shmegera, and L. Mishmaevsky-jr, Elastic interaction of partially debonded circular inclusions. II. Application to fibrous composite, International Journal of Solids and Structures, vol.48, issue.16-17, pp.2413-2421, 2011.
DOI : 10.1016/j.ijsolstr.2011.04.017

F. Léné, ContributionàContribution`Contributionà l'´ etude des matériaux composites et de leur endommagement, Thèse de Doctorat d'Etat, 1984.

F. Léné and D. Leguillon, Homogenized constitutive law for a partially cohesive composite material, International Journal of Solids and Structures, vol.18, issue.5, pp.443-458, 1982.
DOI : 10.1016/0020-7683(82)90082-8

J. Marigo, P. Mialon, J. Michel, and P. Suquet, Plasticité et homogénéisation : un exemple de prévision de charges limites d'une structure hétérogène périodique', Journal de Mécanique Théorique et Appliquée, vol.6, issue.1, pp.47-75, 1987.

J. Marigo and C. Pideri, The Effective Behavior of Elastic Bodies Containing Microcracks or Microholes Localized on a Surface, International Journal of Damage Mechanics, vol.4, issue.8, pp.1151-1177, 2011.
DOI : 10.1016/0013-7944(85)90093-1
URL : https://hal.archives-ouvertes.fr/hal-00549546

K. Matous and P. Geubelle, Multiscale modelling of particle debonding in reinforced elastomers subjected to finite deformations, International Journal for Numerical Methods in Engineering, vol.30, issue.2, pp.190-223, 2006.
DOI : 10.1002/nme.1446

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

J. Moraleda, J. Segurado, and J. Llorca, Effect of interface fracture on the tensile deformation of fiber-reinforced elastomers, International Journal of Solids and Structures, vol.46, issue.25-26, pp.4287-4297, 2009.
DOI : 10.1016/j.ijsolstr.2009.08.020

E. Sanchez-palencia, Non homogeneous media and vibration theory, No. 127 in Lecture Notes in Physics, 1980.

P. Suquet, Plasticité et homogénéisation, Thèse de Doctorat d'Etat, 1982.

H. Teng, Stiffness properties of particulate composites containing debonded particles, International Journal of Solids and Structures, vol.47, issue.17, pp.2191-2200, 2010.
DOI : 10.1016/j.ijsolstr.2010.04.004