G. De-saxcé, A generalization of Fenchel's inequality and its application to constitutive laws, C. R. Acad. Sci. Paris II, vol.314, pp.125-129, 1992.

J. J. Moreau, On Unilateral Constraints, Friction and Plasticity, New Variational Techniques in Mathematical Physics, 1974.
DOI : 10.1007/978-3-642-10960-7_7

Q. S. Nguyen, Stability and Nonlinear Solid Mechanics, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00105248

G. Duvaut and J. Lions, Les inéquations en mécanique et en physique, 1972.

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.527-634, 1985.
DOI : 10.1016/0045-7825(85)90009-X

N. Kikuchi and J. T. Oden, Contact Problem in Elasticity: A Study of Variational Inequalities and Finite Element Methods, 1988.
DOI : 10.1137/1.9781611970845

L. E. Andersson, A quasistatic frictional problem with normal compliance, Nonlinear Anal, pp.347-370, 1991.

L. E. Andersson and A. Klarbring, Existence and Uniqueness for Quasistatic Contact Problems with Friction, Contact Mechanics, pp.245-260, 2001.
DOI : 10.1007/978-94-017-1154-8_26

A. Klarbring, A. Mikelic, and M. Shillor, A Global Existence Result for the Quasistatic Frictional Contact Problem with Normal Compliance, Unilateral Problems in Structural Mechanics IV, pp.85-111, 1991.
DOI : 10.1007/978-3-0348-7303-1_8

M. Cocu, E. Pratt, and M. Raous, Analysis of an Incremental Formulation for Frictional Contact Problems, Contact Mechanics Marseille, 1995.
DOI : 10.1007/978-1-4615-1983-6_2

R. Hill, A general theory of uniqueness and stability in elastic-plastic solids, Journal of the Mechanics and Physics of Solids, vol.6, issue.3, pp.236-249, 1958.
DOI : 10.1016/0022-5096(58)90029-2

H. Petryk, A consistent approach to defining stability of plastic deformed processes, IUTAM Symp. Stability in the Mechanics of Continua, pp.262-272, 1982.

A. Klarbring, Derivation and analysis of rate boundary value problems of frictional contact, Eur. J. Mech. A Solids, vol.9, pp.53-85, 1990.

A. Klarbring, Stability and Critical Points in Large Displacement Frictionless Contact Problems, Friction and Instabilities CISM Courses and Lectures, pp.39-64, 2000.
DOI : 10.1007/978-3-7091-2534-2_2

X. Chateau and Q. S. Nguyen, Buckling of elastic structures in unilateral contact with or without friction, Eur. J. Mech. A Solids, vol.10, pp.71-89, 1991.
URL : https://hal.archives-ouvertes.fr/hal-00105477

M. A. Biot, Mechanics of Incremental Deformation, Journal of Applied Mechanics, vol.32, issue.4, 1965.
DOI : 10.1115/1.3627365

Q. S. Nguyen, Bifurcation and Stability in Dissipative Media (Plasticity, Friction, Fracture), Applied Mechanics Reviews, vol.47, issue.1, pp.47-48, 1994.
DOI : 10.1115/1.3111068

URL : https://hal.archives-ouvertes.fr/hal-00105468

Z. Mroz, Contact Friction Models and Stability Problems, Friction and Instabilities CISM Courses and Lectures, pp.179-232, 2000.
DOI : 10.1007/978-3-7091-2534-2_5

Q. S. Nguyen, Bifurcation et stabilité des systèmes irréversibles obéissant au principe de dissipation maximale, J. Méc. Théor. Appl, vol.3, pp.41-61, 1984.

J. A. Martins, A. Pinto-da-costa, and F. M. Simoes, Some Notes on Friction and Instabilities, Friction and Instabilities CISM Courses and Lectures, pp.65-136, 2000.
DOI : 10.1007/978-3-7091-2534-2_3

R. Cottle, J. S. Pang, and R. E. Stone, The Linear Complementarity Problem, 1992.

A. Klarbring, A mathematical programming approach to three-dimensional contact problems with friction, Computer Methods in Applied Mechanics and Engineering, vol.58, issue.2, pp.175-200, 1986.
DOI : 10.1016/0045-7825(86)90095-2

G. G. Adams, Self-Excited Oscillations of Two Elastic Half-Spaces Sliding With a Constant Coefficient of Friction, Journal of Applied Mechanics, vol.18, issue.4, pp.867-872, 1995.
DOI : 10.1098/rspa.1924.0079

J. A. Martins, J. Guimaraes, and L. O. Faria, Dynamic Surface Solutions in Linear Elasticity and Viscoelasticity With Frictional Boundary Conditions, Journal of Vibration and Acoustics, vol.1, issue.4, pp.445-451, 1995.
DOI : 10.1115/1.2874477

F. Moirot and Q. S. Nguyen, Some problems of friction-induced vibrations and instabilities, Friction and Instabilities CISM Courses and Lectures, pp.137-178, 2000.

G. G. Adams, Dynamic Instabilities in the Sliding of Two Layered Elastic Half-Spaces, Journal of Tribology, vol.47, issue.2, pp.289-295, 1998.
DOI : 10.1115/1.3424028

F. Moirot, Etude de la stabilité d'un équilibre en présence du frottement de Coulomb, 1998.

M. Renardy, Ill-posedness at the boundary for elastic solids sliding under Coulomb friction, Journal of Elasticity, vol.107, issue.3, pp.281-287, 1992.
DOI : 10.1007/BF00041691

K. Ranjith and J. R. Rice, Slip dynamics at an interface between dissimilar materials, Journal of the Mechanics and Physics of Solids, vol.49, issue.2, pp.341-361, 2001.
DOI : 10.1016/S0022-5096(00)00029-6

H. Troger and A. Steindl, Nonlinear Stability and Bifurcation Theory, 1991.
DOI : 10.1007/978-3-7091-9168-2

F. Moirot and Q. S. Nguyen, An example of stick?slip waves, C. R. Acad. Sci. Paris IIb, vol.328, pp.663-669, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00105244

A. Oueslati, L. Baillet, and Q. S. Nguyen, Transition vers une onde glissement-adhérence-décollement sous contact frottant de Coulomb, Journées Européennes sur les freins, pp.155-162, 2002.
DOI : 10.1016/s1631-0721(02)00009-8

M. Oestreich, N. Hinrichs, and K. Popp, Bifurcation and stability analysis for a non-smooth friction oscillator, Archive of Applied Mechanics, vol.97, issue.No. 9, pp.301-314, 1996.
DOI : 10.1007/978-3-642-83578-0_29

D. Vola, M. Raous, and J. A. Martins, Friction and instability of steady sliding: squeal of a rubber/glass contact, International Journal for Numerical Methods in Engineering, vol.32, issue.10, pp.301-314, 1999.
DOI : 10.1007/BFb0067476

N. J. Carpenter, R. L. Taylor, and M. G. Katona, Lagrange constraints for transient finite element surface contact, International Journal for Numerical Methods in Engineering, vol.1, issue.1, pp.103-128, 1991.
DOI : 10.1002/nme.1620320107

URL : https://hal.archives-ouvertes.fr/hal-01389918

L. Baillet, Y. Berthier, O. Bontemps, and M. Brunet, Tribologie de l'interface fibre/matrice, Approche théorique et expérimentale, Rev. Composites et Matériaux Avancés, vol.7, pp.89-105, 1997.

B. Van, On relaxation-oscillations, Philos. Mag, vol.7, pp.978-992, 1926.

K. Popp and P. Stelter, Stick-Slip Vibrations and Chaos, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.332, issue.1624, pp.89-105, 1990.
DOI : 10.1098/rsta.1990.0102

G. G. Adams, Steady Sliding of Two Elastic Half-Spaces With Friction Reduction due to Interface Stick-Slip, Journal of Applied Mechanics, vol.47, issue.2, pp.470-475, 1998.
DOI : 10.1115/1.3424248

O. Y. Zharii, Frictional Contact Between the Surface Wave and a Rigid Strip, Journal of Applied Mechanics, vol.40, issue.1, pp.15-20, 1996.
DOI : 10.7567/JJAPS.29S1.194

J. A. Martins, S. Barbarin, M. Raous, A. Pinto, and C. , Dynamic stability of finite dimensional linear elastic system with unilateral contact and Coulomb's friction, Comput. Methods Appl. Mech. Engrg, vol.177, pp.298-328, 1999.

D. Vola, E. Pratt, M. Jean, and M. Raous, Consistent time discretization for a dynamical frictional contact problem and complementary techniques, Rev. Eur, Elements Finis, vol.7, pp.149-162, 1998.

Y. Renard, Modélisation des instabilités liées au frottement sec des solides, aspects théoriques et numériques, Thèse de doctorat, 1998.

M. Raous, S. Barbarin, and D. Vola, Numerical characterization and computation of dynamic instabilities for frictional contact problems, Friction and Instabilities CISM Courses and Lectures, pp.233-291, 2000.
DOI : 10.1007/978-3-7091-2534-2_6

URL : https://hal.archives-ouvertes.fr/hal-00166137

D. A. Crolla and A. M. Lang, Paper VII (i) Brake Noise and Vibration - The State of the Art, Vehicle Tribologie, vol.18, pp.165-174, 1991.
DOI : 10.1016/S0167-8922(08)70132-9

M. Nakai and M. Yokoi, Band Brake Squeal, Journal of Vibration and Acoustics, vol.7, issue.2, pp.187-197, 1996.
DOI : 10.1299/jsme1958.7.40

F. Moirot and Q. S. Nguyen, Brake squeal: a problem of flutter instability of the steady sliding solution? Arch, Mech, vol.52, pp.645-662, 2000.