R. A. Adey, J. Baynham, and J. W. Taylor, Development of analysis tools for spline couplings, Proceedings of the Institution of Mechanical Engineers, pp.347-357, 2000.
DOI : 10.1243/0954410001531935

J. R. Barber and M. Ciavarella, Contact mechanics, International Journal of Solids and Structures, vol.37, issue.1-2, pp.29-43, 2000.
DOI : 10.1016/S0020-7683(99)00075-X

H. Blanc, Un Nouveau modèle pour l'étude et le dimensionnement des liaisons par cannelures axiales, 4th World Congress on Gearing and Power Transmission, pp.1217-1227, 1999.

H. Blanc, Dynamique des rotors en torsion -Répartition de l'inertie et de la raideur, p.10, 2000.

F. Bucher, K. Knothe, and A. Theiler, Normal and tangential contact problem of surfaces with measured roughness, Wear, vol.253, issue.1-2, pp.204-218, 2002.
DOI : 10.1016/S0043-1648(02)00102-3

G. Colin, Le fretting corrosion, CETIM-Informations, vol.107, pp.47-52, 1988.

R. W. Cornell, Compliance and Stress Sensitivity of Spur Gear Teeth, Journal of Mechanical Design, vol.103, issue.2, pp.447-459, 1981.
DOI : 10.1115/1.3254939

L. Dundurs, Stress concentration at a sharp edge in contact problems, Journal of Elasticity, vol.7, issue.2, pp.109-112, 1972.
DOI : 10.1007/BF00046059

B. J. Fregly, Y. Bei, and M. E. Sylvester, Experimental evaluation of an elastic foundation model to predict contact pressures in knee replacements, Journal of Biomechanics, vol.36, issue.11, pp.1659-1668, 2003.
DOI : 10.1016/S0021-9290(03)00176-3

M. Gedeon, Fretting Corrosion, Brushwellman engineering materials, vol.4, issue.3, 2002.

I. G. Goryacheva, H. Murthy, and T. N. Farris, Contact problem with partial slip for the inclined punch with rounded edges, International Journal of Fatigue, vol.24, issue.11, pp.1191-1201, 2002.
DOI : 10.1016/S0142-1123(02)00026-9

M. T. Hanson and L. M. Keer, STRESS ANALYSIS AND CONTACT PROBLEMS FOR AN ELASTIC QUARTER-PLANE, The Quarterly Journal of Mechanics and Applied Mathematics, vol.42, issue.3, pp.363-383, 1989.
DOI : 10.1093/qjmam/42.3.364

M. T. Hanson and L. M. Keer, A SIMPLIFIED ANALYSIS FOR AN ELASTIC QUARTER-SPACE, The Quarterly Journal of Mechanics and Applied Mathematics, vol.43, issue.4, pp.561-587, 1990.
DOI : 10.1093/qjmam/43.4.561

I. Hayashi and T. Hayashi, Miniaturization of Involute-Splined Couplings : Discussion from Torsional Stiffness and Yield Torque, Bulletin of JSME, vol.28, issue.236, pp.259-266, 1985.
DOI : 10.1299/jsme1958.28.259

K. J. Huang and T. S. Liu, DYNAMIC ANALYSIS OF A SPUR GEAR BY THE DYNAMIC STIFFNESS METHOD, Journal of Sound and Vibration, vol.234, issue.2, p.311, 2000.
DOI : 10.1006/jsvi.1999.2869

T. R. Hyde, S. B. Leen, I. R. Mccoll, and E. J. Williams, A representative model for life assessment of spline couplings". Gearing, Transmissions and Mechanical Systems, pp.625-634, 2000.

P. Kapsa and M. Cartier, Usure des contacts mécaniques : Manifestations de l'usure, pp.67-81, 2006.

C. P. Ku, J. F. Walton, and J. W. Lund, A theoretical approach to determine angular stiffness and damping coefficients of an axial spline coupling in high-speed rotating machinery, Journal of Vibration of Rotating Systems, Transactions of the ASME, vol.60, pp.249-256, 1993.

C. P. Ku, J. F. Walton, and J. W. Lund, Dynamic Coefficients of Axial Spline Couplings in High-Speed Rotating Machinery, Journal of Vibration and Acoustics, vol.116, issue.3, pp.250-256, 1994.
DOI : 10.1115/1.2930421

C. P. Ku, J. F. Walton, and J. W. Lund, An investigation of angular stiffness and damping coefficients of an axial spline coupling in high-speed rotating machinery, Nasa conference publication, pp.293-303, 1994.

S. B. Leen, T. H. Hyde, C. H. Ratsimba, E. J. Williams, and I. R. Mccoll, An investigation of the fatigue and fretting performance of a representative aero-engine spline coupling, The Journal of Strain Analysis for Engineering Design, vol.27, issue.6, pp.565-583, 2002.
DOI : 10.1243/030932402320950161

S. B. Leen, T. R. Hyde, E. J. Williams, A. A. Becker, I. R. Mccoll et al., Development of a representative test specimen for frictional contact in spline joint couplings, The Journal of Strain Analysis for Engineering Design, vol.2, issue.2, pp.521-544, 2000.
DOI : 10.1017/CBO9780511806575

S. B. Leen, I. R. Mccoll, C. H. Ratsimba, and E. J. Williams, Fatigue life prediction for a barrelled spline coupling under torque overload, Proceedings of the Institution of Mechanical Engineers, pp.123-142, 2003.
DOI : 10.1243/095441003322297234

S. B. Leen, I. J. Richardson, I. R. Mccoll, E. J. Williams, and T. R. Hyde, Macroscopic fretting variables in a splined coupling under combined torque and axial load, The Journal of Strain Analysis for Engineering Design, vol.5, issue.5, pp.481-497, 2001.
DOI : 10.1243/0309324011514647

L. Limmer, D. Nowell, and D. A. Hills, A combined testing and modelling approach to the prediction of the fretting fatigue performance of splined shafts, Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, vol.205, issue.2, pp.105-111, 2001.
DOI : 10.1243/0954410011531808

W. Manners, Pressure required to flatten an elastic random rough profile, International Journal of Mechanical Sciences, vol.42, issue.12, pp.2321-2336, 2000.
DOI : 10.1016/S0020-7403(99)00098-3

W. Manners, Methods for analysing partial contact between surfaces, International Journal of Mechanical Sciences, vol.45, issue.6-7, pp.6-7, 2003.
DOI : 10.1016/S0020-7403(03)00143-7

R. A. Marmol, A. J. Smalley, and J. A. Tecza, Spline Coupling Induced Nonsynchronous Rotor Vibrations, Journal of Mechanical Design, vol.102, issue.1, pp.168-176, 1980.
DOI : 10.1115/1.3254709

J. M. Matusz, W. J. Donnell, and R. J. Erdlac, Local Flexibility Coefficients for the Built-In Ends of Beams and Plates, Journal of Engineering for Industry, vol.91, issue.3, pp.607-614, 1969.
DOI : 10.1115/1.3591636

R. G. Munro, D. Palmer, and L. Morrish, An experimental method to measure gear tooth stiffness throughout and beyond the path of contact, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol.208, issue.C2, pp.793-803, 2001.
DOI : 10.1243/0954406011524153

O. Donnell and W. J. , The Additional Deflection of a Cantilever Due to the Elasticity of the Support, Journal of Applied Mechanics, vol.27, issue.3, pp.461-464, 1960.
DOI : 10.1115/1.3644025

O. Donnell and W. J. , Stresses and deflections in built-in beams, ASME, vol.62, issue.16, pp.1-8, 1974.

S. Oda, T. Koide, T. Ikeda, and K. Umezawa, Effects of Pressure Angle on Tooth Deflection and Root Stress, Bulletin of JSME, vol.29, issue.255, pp.3141-3148, 1986.
DOI : 10.1299/jsme1958.29.3141

S. Oda and K. Miyachika, Practical Formula for Tooth Deflection of Internal Spur Gear, Bulletin of JSME, vol.29, issue.257, pp.3905-3910, 1986.
DOI : 10.1299/jsme1958.29.3905

M. Orain, Contribution à l'étude de mécanismes homocinétiques, Thèse de docteur ingénieur de l'université Paris III, pp.260-276, 1976.

A. M. Quinn, B. W. Drinkwater, and R. S. Dwyer-joyce, The measurement of contact pressure in machine elements using ultrasound, Ultrasonics, vol.39, issue.7, pp.495-502, 2002.
DOI : 10.1016/S0041-624X(01)00089-0

A. Sackfield, A. Mugadu, J. R. Barber, and D. A. Hills, The application of asymptotic solutions to characterising the process zone in almost complete frictionless contacts, Journal of the Mechanics and Physics of Solids, vol.51, issue.7, p.1333, 2003.
DOI : 10.1016/S0022-5096(03)00020-6

P. Sainsot and P. Velex, Contribution of Gear Body to Tooth Deflections???A New Bidimensional Analytical Formula, Journal of Mechanical Design, vol.126, issue.4, pp.748-752, 2004.
DOI : 10.1115/1.1758252

URL : https://hal.archives-ouvertes.fr/hal-00450552

U. Sellgren, S. Bjorklund, and S. Andersson, A finite element-based model of normal contact between rough surfaces, Wear, vol.254, issue.11, pp.1180-1188, 2003.
DOI : 10.1016/S0043-1648(03)00332-6

W. S. Sum, S. B. Leen, and E. J. Williams, Parametric Study on the Frictional Contact Behaviour between Spline Teeth". Modern Practice in Stress and Vibration Analysis, Proceedings of the 5th International Conference on Modern Practice in Stress and Vibration Analysis, pp.440-441, 2003.

W. S. Sum, E. J. Williams, and S. B. Leen, Finite element, critical-plane, fatigue life prediction of simple and complex contact configurations, International Journal of Fatigue, vol.27, issue.4, 2004.
DOI : 10.1016/j.ijfatigue.2004.08.001

Y. Terauchi and K. Nagamura, Study on Deflection of Spur Gear Teeth : 2nd Report, Calculation of Tooth Deflection for Spur Gears with Various Tooth Profiles, Bulletin of JSME, vol.24, issue.188, pp.447-452, 1981.
DOI : 10.1299/jsme1958.24.447

S. P. Timoshenko and J. M. Gere, Mechanics of materials solutions manual, 2003.

A. Tjernberg, Load distribution in the axial direction in a spline coupling, Engineering Failure Analysis, vol.8, issue.6, pp.557-570, 2001.
DOI : 10.1016/S1350-6307(00)00027-3

K. Varadi, Z. Neder, and K. Friedrich, Evaluation of the real contact areas, pressure distributions and contact temperatures during sliding contact between real metal surfaces, Wear, vol.200, issue.1-2, pp.55-62, 1996.
DOI : 10.1016/S0043-1648(96)07269-9

B. P. Volfson, Stress Sources and Critical Stress Combinations for Splined Shaft, Journal of Mechanical Design, vol.104, issue.3, pp.551-556, 1982.
DOI : 10.1115/1.3256385

J. Wang and I. Howard, The torsional stiffness of involute spur gears, Proceedings of the Institution of Mechanical Engineers, pp.131-142, 2004.
DOI : 10.1243/095440604322787009

K. Yamaguchi, M. Uchida, and F. Mondori, Measurement of Pressure Distribution Between Contact Surfaces by Light Reflection, Journal of Engineering for Industry, vol.118, issue.1, pp.161-165, 1996.
DOI : 10.1115/1.2803638