J. F. Archard, Elastic Deformation and the Laws of Friction, Proc.R.Soc. London, Ser.A, pp.190-205, 1957.
DOI : 10.1098/rspa.1957.0214

P. -bar and Y. Delanne, Réduire le bruit de contact pneumatique chaussée, Presse de l'Ecole Nationale des Ponts et Chaussées, 1991.

F. X. -bécot, Tyre noise over impedance surfaces efficient application of the equivalent sources method, 2003.
URL : https://hal.archives-ouvertes.fr/tel-00126562

M. Bérengier, Influence de la couche de roulement de la chaussée sur le bruit du trafic routier, 2001.

F. Boehm, Mechanik des gurtelreifens. ING-Arch, p.82, 1966.

J. Boussinesq, Application des potentiels à l'étude de l'équilibre et du mouvement des solides élastiques, 1885.

R. Buczkowski and M. Kliber, A Stochastic model of rough surfaces for finite element contact analysis Computer methods in applied mechanics and engineering, N169, pp.43-59, 1998.

P. H. Campanac, Modélisation des vibrations d'un pneumatique roulant sur une chaussée

P. Campanac and D. Duhamel, Modeling of tire vibration. Inter Noise, 1999.

Y. Delanne, Les enrobés drainants : analyse de leurs propriétés vis à vis du bruit de roulement et de l'adhérence des pneumatiques des véhicules de tourisme ii [16]-Dodge R. N. The dynamic stiffness of a pneumatique tire model. Society of automotive engineers, pp.33-43, 1965.

C. R. Dorhman, DYNAMICS OF A TIRE???WHEEL???SUSPENSION ASSEMBLY, Journal of Sound and Vibration, vol.210, issue.5, pp.627-642, 1988.
DOI : 10.1006/jsvi.1997.1332

J. A. Ejsmont, U. Sandberg, and S. Taryma, Influence of tread pattern on tyre /road noise, Society of Automotive Engineers, 1985.

J. A. Ejsmont, Tire dimensional influences on tyre / road noise, Inter Noise, vol.1, p.93, 1997.

A. Fadavi, Modélisation numérique des vibrations d'un pneumatique et de la propagation du bruit de contact, Thèse de Doctorat de l'Ecole Nationale des Ponts et Chaussées, 2002.

A. Fadavi, D. Duhamel, and P. Klein, & Anfosso-Lédée F. Tire/road noise: comparison of 2D and 3D models for horn effect. Inter Noise, 2000.

M. J. Gagen, Novel acoustic sources from squeezed cavities in car tires, The Journal of the Acoustical Society of America, vol.106, issue.2, 1999.
DOI : 10.1121/1.427096

L. A. Galin, Contact problems in the theory of elasticity. Transleted by Mrs, 1961.

E. Gerrestsen, D. F. Roo, and E. Salomons, State of the art in tyre / road noise modeling, Inter noise, vol.1, issue.87, 1997.

I. S. Gradshteyn and I. M. Ryzhik, Table of integrals, series and products, 1979.

R. A. Graf, ON THE HORN EFFECT OF A TYRE/ROAD INTERFACE, PART I: EXPERIMENT AND COMPUTATION, Journal of Sound and Vibration, vol.256, issue.3, pp.417-431, 2002.
DOI : 10.1006/jsvi.2001.4238

G. A. Graham, The contact problem in the linear theory of viscoelasticity, International Journal of Engineering Science, vol.3, issue.1, p.27, 1965.
DOI : 10.1016/0020-7225(65)90018-2

J. A. Greenwood and J. H. Tripp, The Elastic Contact of Rough Spheres, Journal of Applied Mechanics, vol.34, issue.1, pp.153-159, 1967.
DOI : 10.1115/1.3607616

J. A. Greenwood and J. H. Tripp, The contact of two nominally flat rough surfaces, ARCHIVE: Proceedings of the Institution of Mechanical Engineers 1847-1982 (vols 1-196), vol.185, issue.1970
DOI : 10.1243/PIME_PROC_1970_185_069_02

J. F. Hamet, Propagating wave formulation of tire vibration using the orthotropic plate model. Inter-noise, 2002.

J. F. Hamet and P. Klein, Road texture and tire noise. Inter-noise, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00546120

R. E. Haydn, Road side noise from the interaction of a rolling tyre with the road surface, Proceeding of the Purdue Noise Control Conference, 1971.

M. Heckel, Tyre noise generation, Wear, vol.113, issue.1, pp.157-170, 1986.
DOI : 10.1016/0043-1648(86)90065-7

H. Hertz, Über die Berührung fester elastischer Körper (On the contact of elastic solids

T. Hisakado, Effect of surface roughness on contact between solid surfaces, Wear, vol.28, issue.2, pp.217-234, 1974.
DOI : 10.1016/0043-1648(74)90163-X

S. C. Huang and B. S. Hsu, In-plane Dynamics of Tires on the Road Based on an Experimentally Verified Rolling Ring Model, Vehicle System Dynamics, vol.122, issue.1, pp.242-267, 1992.
DOI : 10.1115/1.3423597

S. C. Huang, The vibration of rolling tyres in ground contact, Journal of Vehicule Design. vol, vol.13, issue.1, 1992.

S. C. Hunter, The Hertz problem for a rigid spherical indenter and a viscoelastic half-space, Journal of the Mechanics and Physics of Solids, vol.8, issue.4, pp.219-234, 1960.
DOI : 10.1016/0022-5096(60)90028-4

K. Iwao and A. Yamazaki, A study on the mechanism of tire/road noise, JSAE Review, vol.17, issue.2, pp.139-144, 1996.
DOI : 10.1016/0389-4304(95)00004-6

M. Jennewein and M. Bergmann, Investigation concerning tyre / road noise sources and possibilities of noise reduction. Proceeding of The Institution of The Mechanical Engineers, 1985.

K. L. Johnson, Contact mechanics, 1985.

R. F. Keltie, Analytical model of the truck tire vibration sound mechanism, The Journal of the Acoustical Society of America, vol.71, issue.2, pp.359-367, 1982.
DOI : 10.1121/1.387460

G. J. Kim, Wave propagation in tyres and the resultant noise radiation, 1998.

P. Klein, Effet dièdre : Etude du modèle de Kropp

W. Kropp, Structure born sound on a smooth tyre, pp.181-192, 1989.

W. Kropp, Ein model zur beschreibung des rollgeraussches eines unprofilierten Gutelreifens auf rauher strabenoberlache. VDI, Reiche11: Schwingungstechnik N, 1992.

S. Kucharski, A. Polijaniuk, &. Klimczak, and J. Kaczmarek, Finite-elements model for the contact of rough surfaces, Wear, vol.177, issue.1, pp.1-13, 1994.
DOI : 10.1016/0043-1648(94)90112-0

L. E. Kung, L. E. Kung, W. Sodel, and T. Y. Yang, Free vibration of a pneumatic tire-wheel unit using a ring on an elastic foundation and a finite element model, Journal of Sound and Vibration, vol.107, issue.2, pp.181-194, 1986.
DOI : 10.1016/0022-460X(86)90231-2

K. Larsson, Modelling of dynamics contact : Exemplified on the tyre road interaction. Chalmers university of technology, 2002.

J. Lelong, Vehicule noise emission: evaluation of tyre / road and motor noise contribution. Inter Noise, 1999.

A. E. -love, A treatise on the mathematical theory of elasticity, 1927.

A. E. Love, BOUSSINESQ'S PROBLEM FOR A RIGID CONE, The Quarterly Journal of Mathematics, vol.10, issue.1, p.161, 1939.
DOI : 10.1093/qmath/os-10.1.161

J. I. -mc-cool, Predicting Microfracture in Ceramics Via a Microcontact Model, Journal of Tribology, vol.108, issue.3, pp.380-386, 1968.
DOI : 10.1115/1.3261209

G. F. Miller and . H. Pursey, The field and radiation impedance of mechanical radiators on the free surface of a semi-infinite isotropic solid. Proceeding of the royal society of London, pp.521-541, 1954.

Y. -nakashima and J. Y. Wong, A three-dimensional tire model by the finite element method, Journal of Terramechanics, vol.30, issue.1, pp.1-21, 1993.
DOI : 10.1016/0022-4898(93)90028-V

P. M. -nelson, Rubber tyre noise generation. Transport and Road Research Laboratory, 1986.

G. M. Prasad and W. Sodel, Calculation of natural frequencies and modes of tires in road contact by utilizing eigenvalues of the axisymetric non contacting tire, Journal of Sound and Vibration, vol.70, pp.573-584, 1980.

J. R. Radok, Viscoelastic stress analysis, App. Math, vol.15, 1957.

G. Rimondi, Tire contribution in the context of automobile noise reduction "Tire Science and Technology, TSTCA, vol.23, issue.3, pp.189-208, 1995.

S. Saigal, Y. T. , K. H. Sodel, and W. , Free vibrations of a tire as a toroidal membrane, Journal of Sound and Vibration, vol.107, issue.1, pp.71-82, 1986.
DOI : 10.1016/0022-460X(86)90283-X

U. Sandberg, Will tire/road noise limit future vehicle noise reduction, 1982.

U. Sandberg, A new porous pavement with extended acoustical lifetime and usefull even on low speed roads, Swedish National Road and Transport Research Institut, Inter noise1997, 1997.

I. N. Sneddon, The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile, International Journal of Engineering Science, vol.3, issue.1, pp.47-57, 1965.
DOI : 10.1016/0020-7225(65)90019-4

T. C. Ting, The Contact Stresses Between a Rigid Indenter and a Viscoelastic Half-Space, Journal of Applied Mechanics, vol.33, issue.4, p.845, 1966.
DOI : 10.1115/1.3625192

J. B. Williamson and J. A. Greenwood, Contact of nominally flat surfaces, Proc. R . Soc

V. G. -wilke, Document interne, 1998.
URL : https://hal.archives-ouvertes.fr/halshs-01249787

E. T. Wittaker and G. N. Watson, A course of modern analysis, 1927.

J. Younguing and Z. Linquing, A full solution for the elastic contact of three dimensional real rough surface, Wear, vol.157, pp.151-161, 1992.