.. Mesure-des-contraintes-résiduelles, Principe de la méthode de diffraction des rayons X, p.23

.. Modélisation-numérique-des-procédés-Étudiés, .25 I.6.1. Simulation numérique du soudage multi-passes.25 I.6.1.1. Phénomènes physiques impliqués, Modélisation mécanique, p.26

.. Approche-mono-impact, s) latérale(s), p.29

.. Approche-multi-impacts, .30 I.6.2.3.a. Modèle 3D multi-impacts avec symétries, ., p.31

. T. Al-hassani-99-]-s, Al-Hassani Numerical Simulation of Multiple Shot Impact, ICSP7, pp.217-227, 1999.

G. Viot, D. L. Doubre-baboeuf, and V. Saunier, Desfontaine Simulation and Experimental Approach for Shot Velocity Evaluation in Ultrasonic Shot Peening, Mécanique & Industries, vol.12, issue.3, p.223, 2011.

]. S. Bagherifard, R. Ghelichi, and M. , A numerical model of severe shot peening (SSP) to predict the generation of a nanostructured surface layer of material, Surface and Coatings Technology, vol.204, issue.24, pp.4081-4090, 2010.
DOI : 10.1016/j.surfcoat.2010.05.035

R. H. Bentall and K. L. , Slip in the rolling contact of two dissimilar elastic rollers, International Journal of Mechanical Sciences, vol.9, issue.6, pp.389-404, 1967.
DOI : 10.1016/0020-7403(67)90043-4

]. B. Bhuvaraghan, M. Sivakumar, and B. , Maffco Optimization of the Fatigue Strength of Materials due to Shot Peening : A Survey, International Journal of Structrural Changes in Solids, Mechanics and Applications, vol.2, issue.2, pp.33-63, 2010.

]. J. Blanchet-75, H. Blanchet, L. Coriou, C. Grall, C. Mahieu et al., Influence de la contrainte, des traitements thermiques et des couplages sur la fissuration intergranulaire des alliages 1nconel 600 et X 750, Journal of Nuclear Materials, vol.55, issue.2, pp.187-206, 1975.
DOI : 10.1016/0022-3115(75)90152-X

V. Boucly, D. Nélias, S. Liu, Q. J. Wang, and L. M. , Contact Analyses for Bodies With Frictional Heating and Plastic Behavior, Journal of Tribology, vol.127, issue.2, pp.355-364, 2005.
DOI : 10.1115/1.1843851
URL : https://hal.archives-ouvertes.fr/hal-00368428

]. A. Brandt-90 and A. A. Brandt, Multilevel matrix multiplication and fast solution of integral equations, Journal of Computational Physics, vol.90, issue.2, pp.348-370, 1990.
DOI : 10.1016/0021-9991(90)90171-V

F. P. Dupas, Waeckel Recueil Bibliographique de Caractéristiques Thermo-mécaniques pour l'Acier de Cuve, les Revêtements Inoxydables, 1994.

K. N. Hirai and E. Tosha, Rouhaud Finite Element Analysis of Shot Peening on the Form of a Single Dent, p.9, 2005.

T. Hong, J. Y. Ooi, and B. , A numerical study of the residual stress pattern from single shot impacting on a metallic component, Advances in Engineering Software, vol.39, issue.9, pp.743-756, 2008.
DOI : 10.1016/j.advengsoft.2007.10.002

C. Jacq, D. Nélias, G. Lormand, and D. , Development of a Three-Dimensional Semi-Analytical Elastic-Plastic Contact Code, Journal of Tribology, vol.124, issue.4, pp.653-667, 2002.
DOI : 10.1115/1.1467920
URL : https://hal.archives-ouvertes.fr/hal-00454903

J. , ]. Y. Ju, and T. N. , Farris Spectral Analysis of Two-Dimensional Contact Problems, ASME Journal of Tribology, vol.118, pp.320-328, 1996.

. J. Kalker-90-]-j, Kalker Three Dimensional Elastic Bodies in Rolling Contact, 1990.

]. T. Kim-10, J. Kim, H. Lee, and S. Lee, An area-average approach to peening residual stress under multi-impacts using a three-dimensional symmetry-cell finite element model with plastic shots, Materials & Design, vol.31, issue.1, pp.50-59, 2010.
DOI : 10.1016/j.matdes.2009.07.032

]. T. Kim-11, H. Kim, H. Lee, and S. Hyun, Jung A Simple But Effective FE Model with Plastic Shot for Evaluation of Peening Residual Stress Experimental Validation, Materials Science and Engineering A, issue.11, pp.921-509300426, 2011.

]. D. Kirk-93 and M. Kirk, Abyaneh Theoritical Basis of Shot Peening Coverage Control, ICSP5, pp.175-183, 1993.

J. J. Lemaître, A. Chaboche, and R. Benallal, Desmorat Mécanique des matériaux solides, 3e édition, 2009.

]. J. Leroux-10, B. Leroux, and D. Fulleringer, Nélias Contact Analysis in Presence of Spherical Inhomogeneities within a Half-Space, International Journal of Solids and Structures, vol.47, pp.22-23, 2010.

]. J. Li-91, M. Li, D. Yao, and R. Wang, Mechanical approach to the residual stress field induced by shot peening, Materials Science and Engineering: A, vol.147, issue.2, pp.167-173, 1991.
DOI : 10.1016/0921-5093(91)90843-C

]. S. Liu-05 and Q. Liu, Elastic Fields due to Eigenstrains in a Half-Space, Journal of Applied Mechanics, vol.72, issue.6, pp.871-878, 2005.
DOI : 10.1115/1.2047598

]. D. Lombardo-96 and P. Lombardo, Bailey The Reality of Shot Peening Coverage, ICSP6, 1952.

]. J. Lu-96, M. Lu, and G. James, Roy Handbook of Measurement of Residual Stresses, 1996.

T. Ludian and L. , Wagner Coverage Effects in Shot Peening of Al, 2005.

. H. Majzoobi-05-]-g, R. Majzoobi, and A. Azizi, Alavi Nia A Three-dimensional Simulation of Shot Peening Process Using Multiple Shot Impacts, Journal of Materials Processing Technology, pp.164-165, 2005.

S. A. Meguid, G. Shagal, and J. C. , 3D FE analysis of peening of strain-rate sensitive materials using multiple impingement model, International Journal of Impact Engineering, vol.27, issue.2, pp.119-134, 2002.
DOI : 10.1016/S0734-743X(01)00043-4

S. Miao, C. Larose, and M. Perron, On the potential applications of a 3D random finite element model for the simulation of shot peening, Advances in Engineering Software, vol.40, issue.10, pp.1023-1038, 2009.
DOI : 10.1016/j.advengsoft.2009.03.013

W. P. Moore, Evans Mathematical Correction for Stress in Removed Layers in X-ray Diffraction Residual Stress Analysis, SAE, vol.66, 1958.

B. Paul and J. , Contact Pressures on Closely Conforming Elastic Bodies, PILE 05] C. Pilé Le Grenaillage par Ultraosns: Caractérisation du Procédé et Influence sur la Fatigue d'Alliages TiAL Thèse de Doctorat, pp.543-548, 1981.
DOI : 10.1115/1.3157671

I. Polonsky and L. M. , A numerical method for solving rough contact problems based on the multi-level multi-summation and conjugate gradient techniques, Wear, vol.231, issue.2, pp.206-219, 1999.
DOI : 10.1016/S0043-1648(99)00113-1

R. B. Rebak and Z. , The mechanism of stress corrosion cracking of alloy 600 in high temperature water, Corrosion Science, vol.38, issue.6, pp.971-988, 1996.
DOI : 10.1016/0010-938X(96)00183-7

E. Rouhaud, A. Ouakka, C. Ould, J. Chaboche, and M. , François Finite Element Model of Shot Peening, Effects of Constitutive Laws of the Material, ICSP9, pp.107-112, 2005.

S. Rouquette, E. Rouhaud, M. François, A. Roos, and J. , Coupled thermo-mechanical simulations of shot impacts: Effects of the temperature on the residual stress field due to shot-peening, Journal of Materials Processing Technology, vol.209, issue.8, pp.3879-3886, 2009.
DOI : 10.1016/j.jmatprotec.2008.09.006

K. Schiffner and C. Droste-gen, Simulation of residual stresses by shot peening, Computers & Structures, vol.72, issue.1-3, pp.329-340, 1999.
DOI : 10.1016/S0045-7949(99)00012-7

]. J. Schwarzer-02, V. Schwarzer, and O. Schulze, Vohringer Finite Element Simulation of Shot Peening -a Method to Evaluate the Influence of Shot Peening Parameters on Surface Characteristics, pp.8-507, 2002.

]. J. Simo-85 and R. L. Simo, Consistent tangent operators for rate-independent elastoplasticity, Computer Methods in Applied Mechanics and Engineering, vol.48, issue.1, pp.101-118, 1985.
DOI : 10.1016/0045-7825(85)90070-2

]. Y. Vincent-03, J. Vincent, and J. Bergheau, Viscoplastic behaviour of steels during phase transformations, Comptes Rendus M??canique, vol.331, issue.9, pp.587-594, 2003.
DOI : 10.1016/S1631-0721(03)00147-5

]. T. Wang-02 and J. Wang, Platts Finite Element Impact Modelling for Shot Peening Forming, p.7, 2002.

A. W. Warren, Y. B. Guo, and S. C. , Massive parallel laser shock peening: Simulation, analysis, and validation, International Journal of Fatigue, vol.30, issue.1, pp.188-197, 2008.
DOI : 10.1016/j.ijfatigue.2007.01.033

Y. , ]. T. Youshimura, K. Waseda, M. Yaga, M. Takagaki et al., Sato Evaluation of Cavitation Jet Stream on Water Jet Peening and Application to Fretting Fatigue, Journal of Jet Flow Engineering, vol.21, issue.3, pp.16-23, 2004.

K. Zhou, W. W. Chen, L. M. Keer, and Q. J. , Wang A Fast Method for Solving Three-Dimensional Arbitrarily Shaped Inclusions in a Half Space, Computer Methods in Applied Mechanics and Engineering, vol.198, pp.8-12, 2008.