K. Ach, P. Alart, M. Barboteu, F. Lebon, and B. Mbodji, Parallel frictional contact algorithms and industrial applications, Computer Methods in Applied Mechanics and Engineering, vol.177, issue.3-4, pp.169-181, 1999.
DOI : 10.1016/S0045-7825(98)00379-X

P. Alart, M. Barboteu, and F. Lebon, Solution of frictional contact problems by an EBE preconditioner, Computational Mechanics, vol.20, issue.4, pp.370-378, 1997.
DOI : 10.1007/s004660050258

P. Alart and A. Curnier, A mixed formulation for frictional contact problems prone to Newton like solution methods, Computer Methods in Applied Mechanics and Engineering, vol.92, issue.3, pp.353-375, 1991.
DOI : 10.1016/0045-7825(91)90022-X

P. Alart and F. Lebon, Multigrid method applied to mixed formulation for frictional contact problem, Contact Mechanics, Computational Techniques, pp.227-234, 1993.

P. Alart and F. Lebon, Solution of frictional contact problems using ILU and coarse/fine preconditioners, Computational Mechanics, vol.31, issue.2, pp.98-105, 1995.
DOI : 10.1007/BF00365863

P. Alart and F. Lebon, Numerical study of a stratified composite coupling homogenization and frictional contact, Mathematical and Computer Modelling, vol.28, issue.4-8, pp.273-286, 1998.
DOI : 10.1016/S0895-7177(98)00122-8

P. Alart, F. Lebon, F. Quittau, and K. Rey, Frictional Contact Problem in Elastostatics: Revisiting the Uniqueness Condition, Contact Mechanics International Symposium, pp.19-23, 1994.
DOI : 10.1007/978-1-4615-1983-6_10

G. Amontons, Sur lÕorigine de la r e esistance dans les machines, M e em, lÕAcad. Roy, pp.206-222, 1699.

H. Attouch, M. Barboteu, P. Alart, and F. Lebon, Variational Convergence for Functions and Operators An improved EBE preconditioner for elastostatics, J. Appl. Mech, pp.65-531, 1984.

M. Bernadou, Modulef une Biblioth e eque Modulaire DÕ e el e ements Finis, Inria, 1988.

P. Bisegna, F. Lebon and F. Maceri, D-PANA: a convergent block-relaxation solution method for the discretized dual formulation of the Signorini-Coulomb contact problem, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol.333, issue.11, pp.1053-1058, 2001.
DOI : 10.1016/S0764-4442(01)02153-X

P. Bisegna, F. Lebon, and F. Maceri, The Unilateral Frictional Contact of a Piezoelectric Body with a Rigid Support, Contact Mechanics International Symposium, 2002.
DOI : 10.1007/978-94-017-1154-8_37

F. H. Clarke, Optimization and Non-Smooth Analysis, 1982.

M. Cocu, Existence of solutions of Signorini problems with friction, International Journal of Engineering Science, vol.22, issue.5, pp.567-575, 1984.
DOI : 10.1016/0020-7225(84)90058-2

M. Cocu, E. Pratt, and M. Raous, Formulation and approximation of quasistatic frictional contact, CR Acad. Sci. S e er, pp.1413-1420, 1995.
DOI : 10.1016/0020-7225(95)00121-2

C. A. Coulomb, Th e eorie de machines simples, M e em, Math. Phys. lÕAcad. Roy, vol.10, pp.161-342, 1785.

G. and D. Maso, An Introduction to C-Convergence, 1993.

S. Dumont, F. Lebon, and A. Ould-khaoua, A Numerical Tool for Periodic Heterogeneous Media: Application to Interface in Al/SiC Composites, Journal of Applied Mechanics, vol.28, issue.1, pp.214-217, 2000.
DOI : 10.1177/002199839402801205

URL : https://hal.archives-ouvertes.fr/hal-01113803

C. Farhat and N. Sobh, A coarse/fine preconditioner for very ill-conditioned finite element problems, International Journal for Numerical Methods in Engineering, vol.31, issue.7, pp.1715-1723, 1989.
DOI : 10.6028/jres.049.044

G. Geymonat and F. Krasucki, Analyse asymptotique du comportement en flexion de deux plaques collées, Compes-Rendus Académie des Sciences, pp.307-314, 1997.
DOI : 10.1016/s1251-8069(97)81148-7

B. Halphen and Q. S. Nguyen, Sur les matériaux standards généralisés, J. Theor. Appl. Mech, vol.14, pp.39-63, 1975.

J. T. Hughes, I. Levit, and J. M. Winget, An element-by-element solution algorithm for problems of structural and solid mechanics, Computer Methods in Applied Mechanics and Engineering, vol.36, issue.2, pp.36-241, 1983.
DOI : 10.1016/0045-7825(83)90115-9

M. Jean, Un cadre abstrait pour l'espace vectoriel topologique ordonné $W^{1;p}(X)$ et quelques uns de ses bornés, Travaux du séminaire d'analyse convexe, 1975.

M. Jean, Some complete lattices of W 1, Boll. Dell. Unione Mat. Ital, vol.5, pp.186-195, 1976.

K. L. Johnson, The application of the shakedown principles in rolling and sliding contact, Eur. J. Mech. A Solids, vol.11, pp.155-172, 1992.

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

A. Klarbring, A. Mikelic, and M. Shillor, On friction problems with normal compliance, Nonlinear Analysis: Theory, Methods & Applications, vol.13, issue.8, pp.935-955, 1989.
DOI : 10.1016/0362-546X(89)90022-9

F. Lebon, Two???grid method for regularized frictional elastostatics problems, Engineering Computations, vol.110, issue.7, pp.657-664, 1995.
DOI : 10.1016/0045-7825(91)90022-X

F. Lebon, C. Licht, and F. Zaittouni, Asymptotic modelling of interface taking into account contact conditions, Part 1: Asymptotic expansions and numerical implementation, Int. J. Solids Struct

F. Lebon, A. Ould-khaoua, and C. Licht, 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 M. Raous, Multibody contact problem including friction in structure assembly, Computers & Structures, vol.43, issue.5, pp.925-933, 1992.
DOI : 10.1016/0045-7949(92)90306-K

C. Licht, Comportement asymptotique d'une bande dissipative mince de faible rigidié, Comptes-Rendus Académie des Sciences, pp.317-429, 1992.

C. Licht and G. Michaille, Une mod e elisaton du comportement d'un joint collé élastique, Comptes-Rendus de l'Académie des Sciences, pp.295-300, 1996.

C. Licht and G. Michaille, A modeling of elastic adhesive bonded joints, Adv. Math. Sci. Appl, vol.7, pp.711-740, 1997.

C. Licht, E. Pratt, and M. Raous, Remarks on a Numerical Method for Unilateral Contact Including Friction, International Series on Numerical Mathematics, pp.129-144, 1991.
DOI : 10.1007/978-3-0348-7303-1_10

URL : https://hal.archives-ouvertes.fr/hal-00836393

F. Maceri and . Bisegna, The unilateral frictionless contact of a piezoelectric body with a rigid support, Mathematical and Computer Modelling, vol.28, issue.4-8, pp.19-28, 1998.
DOI : 10.1016/S0895-7177(98)00105-8

J. J. Moreau, Fonctionnelles sous-différentiables, Comptes-Rendus de l'Académie des Sciences, pp.4117-4119, 1963.

J. T. Oden and J. A. Martins, Models and computational methods for dynamic friction phenomena, Computer Methods in Applied Mechanics and Engineering, vol.52, issue.1-3, pp.527-534, 1985.
DOI : 10.1016/0045-7825(85)90009-X

A. O. Khaoua, Modélisation théorique et numérique de problèmes de couches minces en élasticité, 1995.

A. Ould-khaoua, F. Lebon, C. Licht, and G. Michaille, Thin layers in elasticity: a theoretical and numerical study, Proceedings of the 1996 ESDA Conference, pp.171-178, 1996.

S. Pagano, P. Alart, and F. Lebon, Un algorithme de d e ecomposition convexe pour lÕ e etude de structures en alliage a a m e emoire de forme. Application aux manchons de raccordement, Eur. J. Finite Elements, vol.7, pp.365-400, 1998.

P. D. Panagiotopoulos and J. Haslinger, The variational reciprocal approach to the Signorini problem with friction. Approximation results, Proc. Roy. Soc. Edinburgh 98A, pp.365-383, 1984.

F. Radjai, Multicontact dynamics, CR lÕEcole dÕ e et e e Phys. Dry Granular Media, NATO ASI Ser, vol.305, 1998.

M. Raous, Quasistatic Signorini Problem with Coulomb Friction and Coupling to Adhesion, pp.101-178, 1999.
DOI : 10.1007/978-3-7091-2496-3_3

M. Raous, P. Chabrand, and F. Lebon, Numerical methods for solving unilateral contact problem with friction, J. Theor. Appl. Mech, vol.7, pp.111-128, 1988.

J. Sanchez-hubert and E. Sanchez-palencia, Introduction aux m e ethodes asymptotiques et a a lÕhomog e en e eisation, 1992.

P. Sonnenveld, P. Wesseling, and P. M. De-zeeuw, Multigrid and conjugate gradient methods as convergence acceleration techniques, in: Multigrid Methods for Integral and Differential Equations, pp.117-167, 1985.

N. Stalin, K. Dang, and . Van, Numerical simulation of the sliding wear test in relation to material properties, Wear, vol.203204, pp.180-186, 1997.

P. Suquet, Discontinuities and Plasticity, pp.279-340, 1988.
DOI : 10.1007/978-3-7091-2624-0_5

J. J. Telega, Topics on Unilateral Contact Problems of Elasticity and Inelasticity, pp.341-462, 1988.
DOI : 10.1007/978-3-7091-2624-0_6

J. J. Telega, Quasi-static SignoriniÕs contact problem with friction and duality, Int. Ser. Num. Math, vol.101, pp.199-214, 1991.
DOI : 10.1007/978-3-0348-7303-1_14

F. Zaittouni, Mod e elisation th e eorique et num e erique dÕinterfaces, 2000.

F. Zaittouni, F. Lebon, and C. Licht, Etude th e eorique et num e erique du comportement dÕun assemblage de plaques, CR Acad. Sci. S e er. II, 2002.
DOI : 10.1016/s1631-0721(02)01469-9