R. Becker, P. Hansbo, and R. Stenberg, A finite element method for domain decomposition with non-matching grids, ESAIM: Mathematical Modelling and Numerical Analysis, vol.84, issue.2, pp.209-225, 2010.
DOI : 10.1007/s002110050467

URL : https://hal.archives-ouvertes.fr/inria-00073065

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

E. Bonetti, G. Bonfanti, F. Lebon, and R. Rizzoni, A model of imperfect interface with damage, Meccanica, vol.37, issue.41, 2017.
DOI : 10.1016/S0020-7683(99)00244-9

URL : https://hal.archives-ouvertes.fr/hal-01247978

P. Bornert, T. Bretheau, and P. Gilormini, Homogénéisation en mécanique des matériaux, Matériaux aléatoires élastiques et milieux périodiques, 2001.

N. Challamel and U. Girhammar, Boundary-Layer Effect in Composite Beams with Interlayer Slip, Journal of Aerospace Engineering, vol.24, issue.2, pp.199-209, 2011.
DOI : 10.1061/(ASCE)AS.1943-5525.0000027

URL : https://hal.archives-ouvertes.fr/hal-00767553

, Mathematical elasticity: three-dimensional elasticity, Ciarlet PG, vol.1, 1988.

B. Dacorogna, Direct methods in the calculus of variations, Appl Math Sci, vol.78, 2008.
DOI : 10.1007/978-3-642-51440-1

S. Dumont, O. Goubet, T. Ha-duong, and P. Villon, Meshfree methods and boundary conditions, International Journal for Numerical Methods in Engineering, vol.60, issue.7, pp.989-1011, 2006.
DOI : 10.1007/978-1-4612-3172-1

URL : https://hal.archives-ouvertes.fr/hal-01113782

S. Dumont, F. Lebon, and R. Rizzoni, An asymptotic approach to the adhesion of thin stiff films, Mechanics Research Communications, vol.58, pp.24-35, 2014.
DOI : 10.1016/j.mechrescom.2014.01.007

URL : https://hal.archives-ouvertes.fr/hal-00825708

B. Dacorogna and P. Marcellini, Existence of minimizers for non-quasiconvex integrals, Archive for Rational Mechanics and Analysis, vol.21, issue.4, pp.359-399, 1995.
DOI : 10.1017/S0308210500029346

F. Fouchal, F. Lebon, M. Raffa, and G. Vairo, An Interface Model Including Cracks and Roughness Applied to Masonry, The Open Civil Engineering Journal, vol.8, issue.1, pp.263-271, 2014.
DOI : 10.2174/1874149501408010263

URL : https://hal.archives-ouvertes.fr/hal-01478970

G. Geymonat, F. Krasucki, and S. Lenci, Mathematical Analysis of a Bonded Joint with a Soft Thin Adhesive, Mathematics and Mechanics of Solids, vol.319, issue.2, pp.201-225, 1999.
DOI : 10.1016/0013-7944(93)90088-A

Z. Hashin, Thin interphase/imperfect interface in elasticity with application to coated fiber composites, Journal of the Mechanics and Physics of Solids, vol.50, issue.12, pp.2509-2537, 2002.
DOI : 10.1016/S0022-5096(02)00050-9

I. Ivanov, D. Velchev, M. Kne?, and T. Sadowski, Computational models of laminated glass plate under transverse static loading Shell-line structures " , non-classical theories and applications, Adv Struct Mat, pp.469-490, 2011.

A. Klarbring, Derivation of a model of adhesively bonded joints by the asymptotic expansion method, International Journal of Engineering Science, vol.29, issue.4, pp.493-512, 1991.
DOI : 10.1016/0020-7225(91)90090-P

F. Lebon, O. Khaoua, A. Licht, and C. , Numerical study of soft adhesively bonded joints in finite elasticity, Computational Mechanics, vol.21, issue.2, pp.134-140, 1998.
DOI : 10.1007/s004660050289

F. Lebon and R. Rizzoni, Asymptotic Study on a Soft Thin Layer: The Non-Convex Case, Mechanics of Advanced Materials and Structures, vol.4, issue.1, pp.12-20, 2008.
DOI : 10.12989/scs.2004.4.2.133

F. Lebon and R. Rizzoni, Asymptotic analysis of a thin interface: The case involving similar rigidity, International Journal of Engineering Science, vol.48, issue.5, pp.473-486, 2010.
DOI : 10.1016/j.ijengsci.2009.12.001

URL : https://hal.archives-ouvertes.fr/hal-00459507

F. Lebon and R. Rizzoni, Asymptotic behavior of a hard thin linear elastic interphase: An energy approach, International Journal of Solids and Structures, vol.48, issue.3-4, pp.441-449, 2011.
DOI : 10.1016/j.ijsolstr.2010.10.006

URL : https://hal.archives-ouvertes.fr/hal-00589975

F. Lebon and R. Rizzoni, Modeling a hard, thin curvilinear interface, Discrete and Continuous Dynamical Systems - Series S, vol.6, issue.6, pp.1569-1586, 2013.
DOI : 10.3934/dcdss.2013.6.1569

URL : https://hal.archives-ouvertes.fr/hal-00817549

F. Lebon, R. Rizzoni, and S. Ronel-idrissi, Asymptotic analysis of some non-linear soft thin layers, Computers & Structures, vol.82, issue.23-26, pp.1929-1938, 2004.
DOI : 10.1016/j.compstruc.2004.03.074

URL : https://hal.archives-ouvertes.fr/hal-00088238

F. Lebon and S. Ronel-idrissi, Asymptotic analysis of Mohr-Coulomb and Drucker-Prager soft thin layers, Steel and Composite Structures, vol.4, issue.2, pp.133-147, 2004.
DOI : 10.12989/scs.2004.4.2.133

F. Lebon and S. Zaittouni, Asymptotic modelling of interfaces taking contact conditions into account: Asymptotic expansions and numerical implementation, International Journal of Engineering Science, vol.48, issue.2, pp.111-127, 2010.
DOI : 10.1016/j.ijengsci.2009.07.005

URL : https://hal.archives-ouvertes.fr/hal-00459511

L. Dret, H. Raoult, and A. , The quasiconvex envelope of the Saint Venant???Kirchhoff stored energy function, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.78, issue.06, pp.1179-1192, 1995.
DOI : 10.1007/978-3-642-51440-1

S. Lenci, F. Clementi, and J. Warminski, Nonlinear free dynamics of a two-layer composite beam with different boundary conditions, Meccanica, vol.129, issue.9A, pp.675-688, 2015.
DOI : 10.1061/(ASCE)0733-9445(2003)129:1(12)

Y. Li, T. Xiong, and L. Dong, A new interfacial imperfection coupling model (IICM) and its effect on the facture behavior of a layered multiferroic composite: Anti-plane case, European Journal of Mechanics - A/Solids, vol.52, pp.26-36, 2015.
DOI : 10.1016/j.euromechsol.2014.09.013

Z. Li, Existence of minimizers and microstructure in nonlinear elasticity, Nonlinear Anal Theor, vol.27, issue.3, pp.297-308, 1996.

J. Lopez-realpozo, R. Rodriguez-ramos, R. Guinovart-diaz, J. Bravo-castillero, J. Otero et al., Effective elastic shear stiffness of a periodic fibrous composite with non-uniform imperfect contact between the matrix and the fibers, International Journal of Solids and Structures, vol.51, issue.6, pp.1253-1262, 2014.
DOI : 10.1016/j.ijsolstr.2013.12.015

URL : https://hal.archives-ouvertes.fr/hal-01007443

C. Mardare, Existence of minimizers for the pure displacement problem in nonlinear elasticity Alexandru Myller " mathematical seminar, Romania, vol.1329, pp.181-190, 2010.

C. Mauge and M. Kachanov, Effective elastic properties of an anisotropic material with arbitrarily oriented interacting cracks, Journal of the Mechanics and Physics of Solids, vol.42, issue.4, pp.561-584, 1994.
DOI : 10.1016/0022-5096(94)90052-3

J. Nairn, Numerical implementation of imperfect interfaces, Computational Materials Science, vol.40, issue.4, pp.525-536, 2007.
DOI : 10.1016/j.commatsci.2007.02.010

J. Nitsche, Convergence of Nonconforming Methods, Proc. Sympos, pp.15-53, 1974.
DOI : 10.1016/B978-0-12-208350-1.50006-6

A. Orifice, G. Mancusi, S. Dumont, and F. Lebon, An Experimental/Numerical Study on the Interfacial Damage of Bonded Joints for Fibre-Reinforced Polymer Profiles at Service Conditions, Technologies, vol.41, issue.3, p.4030020, 2016.
DOI : 10.1016/j.commatsci.2007.02.010

C. Pelissou and F. Lebon, Asymptotic modeling of quasi-brittle interfaces, Computers & Structures, vol.87, issue.19-20, pp.1216-1223, 2009.
DOI : 10.1016/j.compstruc.2008.12.002

URL : https://hal.archives-ouvertes.fr/hal-00459498

P. Castaneda, M. Willis, and J. , The effect of spatial distribution on the effective behavior of composite materials and cracked media, Journal of the Mechanics and Physics of Solids, vol.43, issue.12, pp.1919-1951, 1995.
DOI : 10.1016/0022-5096(95)00058-Q

M. Raffa, F. Lebon, and R. Rizzoni, On modelling brick/mortar interface via a St. Venant-Kirchhoff orthotropic soft interface. Part I: theory, International Journal of Masonry Research and Innovation, vol.1, issue.2, pp.142-164, 2016.
DOI : 10.1504/IJMRI.2016.077470

URL : https://hal.archives-ouvertes.fr/hal-01478964

M. Raffa, F. Lebon, and G. Vairo, Normal and tangential stiffnesses of rough surfaces in contact via an imperfect interface model, International Journal of Solids and Structures, vol.87, pp.245-253, 2016.
DOI : 10.1016/j.ijsolstr.2016.01.025

URL : https://hal.archives-ouvertes.fr/hal-01308423

M. Raffa, F. Lebon, and R. Rizzoni, On modelling brick/mortar interface via a St. Venant-Kirchhoff orthotropic soft interface. Part II: in silico analysis, International Journal of Masonry Research and Innovation, vol.2, issue.4, 2017.
DOI : 10.1504/IJMRI.2017.087430

URL : https://hal.archives-ouvertes.fr/hal-01478964

M. Raffa, F. Lebon, and R. Rizzoni, Derivation of a model of imperfect interface with finite strains and damage by asymptotic techniques: an??application to masonry structures, Meccanica, vol.46, issue.3???4, 2017.
DOI : 10.1016/j.ijsolstr.2008.09.034

URL : https://hal.archives-ouvertes.fr/hal-01695316

A. Rekik and F. Lebon, Identification of the representative crack length evolution in a multi-level interface model for quasibrittle masonry, Int J Solids Struct, vol.47, pp.22-233011, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00653295

A. Rekik and F. Lebon, Homogenization methods for interface modeling in damaged masonry, Advances in Engineering Software, vol.46, issue.1, pp.35-42, 2012.
DOI : 10.1016/j.advengsoft.2010.09.009

URL : https://hal.archives-ouvertes.fr/hal-00652805

R. Rizzoni and F. Lebon, Asymptotic analysis of an adhesive joint with mismatch strain, European Journal of Mechanics - A/Solids, vol.36, pp.1-8, 2012.
DOI : 10.1016/j.euromechsol.2012.02.005

R. Rizzoni and F. Lebon, Imperfect interfaces as asymptotic models of thin curved elastic adhesive interphases, Mechanics Research Communications, vol.51, pp.39-50, 2013.
DOI : 10.1016/j.mechrescom.2013.04.008

URL : https://hal.archives-ouvertes.fr/hal-00833562

R. Rizzoni, S. Dumont, and F. Lebon, On Saint Venant - Kirchhoff imperfect interfaces, International Journal of Non-Linear Mechanics, vol.89, pp.101-115, 2015.
DOI : 10.1016/j.ijnonlinmec.2016.12.002

URL : https://hal.archives-ouvertes.fr/hal-01694043

R. Rizzoni, S. Dumont, F. Lebon, and S. Sacco, Higher order model for soft and hard elastic interfaces, International Journal of Solids and Structures, vol.51, issue.23-24, pp.4137-4148, 2014.
DOI : 10.1016/j.ijsolstr.2014.08.005

URL : https://hal.archives-ouvertes.fr/hal-01113682

M. Serpilli, Asymptotic analysis of a multimaterial with a thin piezoelectric interphase, Meccanica, vol.29, issue.10, pp.1641-1652, 2014.
DOI : 10.1016/j.euromechsol.2010.06.002

R. Stenberg, On some techniques for approximating boundary conditions in the finite element method, Journal of Computational and Applied Mathematics, vol.63, issue.1-3, pp.139-148, 1995.
DOI : 10.1016/0377-0427(95)00057-7

I. Tsukrov and M. Kachanov, Effective moduli of an anisotropic material with elliptical holes of arbitrary orientational distribution, International Journal of Solids and Structures, vol.37, issue.41, pp.5919-5941, 2000.
DOI : 10.1016/S0020-7683(99)00244-9