F. Acerra, G. Buffa, L. Fratini, and G. Troiano, On the FSW of AA2024-T4 and AA7075-T6 T-joints: an industrial case study, The International Journal of Advanced Manufacturing Technology, vol.12, issue.5, pp.9-12, 2009.
DOI : 10.1007/s00170-009-2344-9

F. Al-badour, N. Merah, A. Shuaib, and A. Bazoune, Coupled Eulerian Lagrangian finite element modeling of friction stir welding processes, Journal of Materials Processing Technology, vol.213, issue.8, pp.213-1433, 2013.
DOI : 10.1016/j.jmatprotec.2013.02.014

I. Alfaro, L. Fratini, E. Cueto, F. Chinesta, and F. Micari, Meshless Simulation of Friction Stir Welding, AIP Conference Proceedings, pp.203-208, 2007.
DOI : 10.1063/1.2740812

URL : https://hal.archives-ouvertes.fr/hal-01008408

I. Alfaro, G. Racineux, A. Poitou, E. Cueto, and F. Chinesta, Numerical simulation of friction stir welding by natural element methods, International Journal of Material Forming, vol.7, issue.12, pp.225-234, 2009.
DOI : 10.1007/s12289-009-0406-z

URL : https://hal.archives-ouvertes.fr/hal-01008563

M. Assidi, L. Fourment, S. Guerdoux, and T. Nelson, Friction model for friction stir welding process simulation: Calibrations from welding experiments, International Journal of Machine Tools and Manufacture, vol.50, issue.2, pp.143-155, 2010.
DOI : 10.1016/j.ijmachtools.2009.11.008

URL : https://hal.archives-ouvertes.fr/hal-00508280

J. A. Barboza, Traitement de contact entre corps deformables et calcul parallele pour la simulation 3D du forgeage multicorps, 2005.
URL : https://hal.archives-ouvertes.fr/pastel-00001359

R. Boussetta, T. Coupez, and L. Fourment, Adaptive remeshing based on a posteriori error estimation for forging simulation, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.48-49, pp.48-49, 2006.
DOI : 10.1016/j.cma.2005.06.029

URL : https://hal.archives-ouvertes.fr/hal-00512775

D. E. Boyce, P. R. Dawson, B. Sidle, and T. Herold, A multiscale methodology for deformation modeling applied to friction stir welded steel, Computational Materials Science, vol.38, issue.1, pp.158-175, 2006.
DOI : 10.1016/j.commatsci.2006.01.021

P. J. Britos, Probability of dectection in friction stir welding using non-destructive evaluation techniques. Bachelor of science, 2010.

G. Buffa, G. Campanile, L. Fratini, and A. Prisco, Friction stir welding of lap joints: Influence of process parameters on the metallurgical and mechanical properties, Materials Science and Engineering: A, vol.519, issue.1-2, pp.19-26, 2009.
DOI : 10.1016/j.msea.2009.04.046

G. Buffa and L. Fratini, Friction Stir Welding Of AA6082-T6 Sheets: Numerical Analysis And Experimental Tests, AIP Conference Proceedings, pp.1224-1229, 2004.
DOI : 10.1063/1.1766696

G. Buffa, L. Fratini, S. Pellegrino, and F. Micari, On the Field Variables Influence on Bonding Phenomena during FSW Processes: Experimental and Numerical Study, Key Engineering Materials, vol.549, pp.484-491, 2013.
DOI : 10.4028/www.scientific.net/KEM.549.484

G. Buffa, J. Hua, R. Shivpuri, and L. Fratini, A continuum based fem model for friction stir welding???model development, Materials Science and Engineering: A, vol.419, issue.1-2, pp.389-396, 2006.
DOI : 10.1016/j.msea.2005.09.040

P. Carlone and G. S. Palazzo, A Numerical and Experimental Analysis of Microstructural Aspects in AA2024-T3 Friction Stir Welding, Key Engineering Materials, vol.554, issue.557, pp.554-557, 2013.
DOI : 10.4028/www.scientific.net/KEM.554-557.1022

R. Cazes, Effect of welding parameters on microstructure and mechanical properties of AA7075-T6 friction stir welded joints, 2003.

C. Chen and R. Kovacevic, Finite element modeling of thermomechanical performance of friction stir welding, 4th International Symposium on Friction Stir Welding, 2003.

M. Chiumenti, M. Cervera, C. Agelet-de-saracibar, and N. Dialami, A novel stress-accurate FE technology for highly non-linear analysis with incompressibility constraint. Application to the numerical simulation of the FSW process, The 11th International Conference on Numerical Methods in Industrial Forming Processes, pp.45-56, 2013.
DOI : 10.1063/1.4806808

M. Chiumenti, M. Cervera, C. Agelet-de-saracibar, and N. Dialami, Numerical modeling of friction stir welding processes, Computer Methods in Applied Mechanics and Engineering, vol.254, pp.353-369, 2013.
DOI : 10.1016/j.cma.2012.09.013

H. Cho, S. Hong, J. Roh, H. Choi, S. H. Kang et al., Threedimensional numerical and experimental investigation on friction stir welding processes of ferritic stainless steel, Acta Materialia, issue.7, pp.61-2649, 2013.

J. H. Cho, S. H. Kang, H. N. Han, and K. H. Oh, Modeling Friction Stir Welding Process of Aluminum Alloys, Metals and Materials International, vol.14, issue.2, pp.247-258, 2008.
DOI : 10.3365/met.mat.2008.04.247

J. Cho, D. E. Boyce, and P. R. Dawson, Modelling of strain hardening during friction stir welding of stainless steel, Modelling and Simulation in Materials Science and Engineering, vol.15, issue.5, pp.469-486, 2007.
DOI : 10.1088/0965-0393/15/5/007

R. G. Citarella, P. Carlone, M. Lepore, and G. S. Palazzo, A FEM-DBEM Investigation of the Influence of Process Parameters on Crack Growth in Aluminum Friction Stir Welded Butt Joints, Key Engineering Materials, vol.554, issue.557, pp.554-557, 2013.
DOI : 10.4028/www.scientific.net/KEM.554-557.2118

P. Colegrove and H. R. Shercliff, Development of Trivex friction stir welding tool Part 2 ??? three-dimensional flow modelling, Science and Technology of Welding and Joining, vol.8, issue.5, pp.352-361, 2004.
DOI : 10.1179/136217104225021670

T. Coupez, T. N. Soyris, and J. Chenot, 3-D finite element modelling of the forging process with automatic remeshing, Journal of Materials Processing Technology, vol.27, issue.1-3, pp.1-3, 1991.
DOI : 10.1016/0924-0136(91)90048-J

F. Delalondre, Modélisation et étude 3D des phénomènes de cisaillement adiabatiques dans les procédés de mise en forme à grande vitesse, 2008.

M. Esmaily and A. Shokuhfar, Numerical simulation of heat transfer in friction stir welding of 7075-T6 aluminum alloy and high carbon steel using Arbitrary Lagrangian Eulerian technique, pp.41-350, 2010.

E. Feulvarch, J. Roux, and J. Bergheau, A simple and robust moving mesh technique for the finite element simulation of Friction Stir Welding, Fifth International Conference on Advanced COmputational Methods in ENgineering, 2011.
DOI : 10.1016/j.cam.2012.07.013

E. Feulvarch, J. Roux, and J. Bergheau, A simple and robust moving mesh technique for the finite element simulation of Friction Stir Welding, Journal of Computational and Applied Mathematics, vol.246, pp.269-277, 2013.
DOI : 10.1016/j.cam.2012.07.013

L. Fourment, S. Guerdoux, M. Miles, and T. Nelson, Numerical simulation of the friction stir welding process using both Lagrangian and Arbitrary Lagrangian Eulerian Formulations, 5th FSW Symposium, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00531266

L. Fourment, S. Gavoille, U. Rippert, and K. Kpodzo, Efficient formulations for quasi-steady processes simulations: Multi-mesh method, arbitrary Lagrangian or Eulerian formulation and free surface algorithms, 11th International Conference on Numerical Methods in Industrial Forming Processes (Numiform), 2013.
DOI : 10.1063/1.4806837

URL : https://hal.archives-ouvertes.fr/hal-00834069

L. Fourment and S. Guerdoux, 3D numerical simulation of the three stages of Friction Stir Welding based on friction parameters calibration, International Journal of Material Forming, vol.1, issue.S1, pp.1287-1290, 2008.
DOI : 10.1007/s12289-008-0138-5

URL : https://hal.archives-ouvertes.fr/hal-00510341

L. Fratini and G. Buffa, CDRX modelling in friction stir welding of aluminium alloys, International Journal of Machine Tools and Manufacture, vol.45, issue.10, pp.45-1188, 2005.
DOI : 10.1016/j.ijmachtools.2004.12.001

L. Fratini, G. Buffa, L. Monaco, and . Lo, Improved FE model for simulation of friction stir welding of different materials, Science and Technology of Welding and Joining, vol.580, issue.3, pp.199-207, 2010.
DOI : 10.1179/136217109X456960

C. Gallais, A. Denquin, A. Pic, A. Simar, T. Pardoen et al., Modelling the relationship between process parameters , microstructural evolutions and mechanical behaviour in a Friction Stir Welded 6XXX aluminium alloy, 5th International Symposium on Friction Stir Welding, 2004.

F. Gemme, Y. Verreman, L. Dubourg, and M. Jahazi, Numerical analysis of the dwell phase in friction stir welding and comparison with experimental data, Materials Science and Engineering: A, vol.527, issue.16-17, pp.16-17, 2010.
DOI : 10.1016/j.msea.2010.03.026

F. Gemme, Y. Verreman, L. Dubourg, and M. Jahazi, Effect of welding parameters on microstructure and mechanical properties of AA7075-T6 friction stir welded joints, Fatigue & Fracture of Engineering Materials & Structures, vol.415, issue.11, pp.34-877, 2011.
DOI : 10.1111/j.1460-2695.2011.01580.x

R. A. Gingold and J. J. Monaghan, Smoothed particle hydrodynamics: theory and application to non-spherical stars, Monthly Notices of the Royal Astronomical Society, vol.181, issue.3, pp.375-389, 1977.
DOI : 10.1093/mnras/181.3.375

K. Gök and M. Aydin, Investigations of friction stir welding process using finite element method, The International Journal of Advanced Manufacturing Technology, vol.68, pp.1-4, 2013.

F. Gratecap, G. Racineux, and A. Poitou, Choix et optimisation de l'outil et des paramètres de soudage en Friction Stir Welding, 2007.

A. Guedoiri, A. Moufki, V. Favier, and H. Zahrouni, Investigation des conditions aux limites thermiques pour la modélisation du FSW: étude paramétrique, 20ème Congrès Français de Mécanique, 2011.

S. Guerdoux, Simulation numerique du soudage par frottement-malaxage numerical simulation of the friction stir welding process, 2007.
URL : https://hal.archives-ouvertes.fr/tel-00271234

M. Guillo, Commande en effort robuste et compensation de trajectoire en temps réel pour les robots industriels sous fortes charges : application au soudage par friction malaxage robotisé (RFSW), 2014.

Y. He, P. R. Dawson, and D. E. Boyce, Modeling Damage Evolution in Friction Stir Welding Process, Journal of Engineering Materials and Technology, vol.130, issue.2, p.21006, 2008.
DOI : 10.1115/1.2840963

A. Heidarzadeh and T. Saeid, Prediction of mechanical properties in friction stir welds of pure copper, Materials & Design (1980-2015), vol.52, pp.1077-1087, 2013.
DOI : 10.1016/j.matdes.2013.06.068

E. Hersent, Modélisation intégrée de la précipitation pour le soudage par friction malaxage d'alliages d'aluminium à durcissement structural, 2010.

I. Iordanoff, D. Richard, and S. Tcherniaieff, Discrete Element method, a tool to investigate contacts in material forming, International Journal of Material Forming, vol.1, issue.S1, pp.1235-1238, 2008.
DOI : 10.1007/s12289-008-0165-2

I. Iordanoff, B. Seve, and Y. Berthier, Solid Third Body Analysis Using a Discrete Approach: Influence of Adhesion and Particle Size on Macroscopic Properties, Journal of Tribology, vol.124, issue.3, p.530, 2002.
DOI : 10.1115/1.1456089

URL : https://hal.archives-ouvertes.fr/hal-00454940

D. Jacquin, B. De-meester, . Simar, D. Deloison, F. Montheillet et al., A simple Eulerian thermomechanical modeling of friction stir welding, Journal of Materials Processing Technology, vol.211, issue.1, pp.57-65, 2011.
DOI : 10.1016/j.jmatprotec.2010.08.016

URL : https://hal.archives-ouvertes.fr/hal-00857931

S. Koshizuka and Y. Oka, Moving-Particle Semi-Implicit method for fragmentation of incompressible fluid, Nuclear Science and Engineering, vol.123, pp.421-434, 1996.

K. Kpodzo, L. Fourment, P. Lasne, and P. Montmitonnet, An accurate time integration scheme for arbitrary rotation motion: application to metal forming simulation, International Journal of Material Forming, vol.120, issue.1???2, 2014.
DOI : 10.1007/s12289-014-1208-5

URL : https://hal.archives-ouvertes.fr/hal-01103101

S. Kumar, L. Fourment, and S. Guerdoux, Parallel, second-order and consistent remeshing transfer operators for evolving meshes with superconvergence property on surface and volume. Finite Elements in Analysis and Design, pp.70-84, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01143752

M. Langerman and E. Kvalvik, Modeling Plasticized Aluminum Flow and Temperature Fields During Friction Stir Welding, The 6th ASME-JSME Thermal Engineering Joint Conference, 2003.

A. Timesli, H. Zahrouni, A. Moufki, B. Braikat, and H. Lahmam, Modélisation du procédé de soudage FSW par la méthode sans maillage SPH, 20ème Congrès Français de Mécanique, 2011.

X. Liu, H. Xu, S. Shao, and P. Lin, An improved incompressible SPH model for simulation of wave???structure interaction, Computers & Fluids, vol.71, pp.113-123, 2013.
DOI : 10.1016/j.compfluid.2012.09.024

O. Lorrain, J. Serri, V. Favier, H. Zahrouni, and M. Hadrouz, A contribution to a critical review of friction stir welding numerical simulation, Journal of Mechanics of Materials and Structures, vol.4, issue.2, 2009.
DOI : 10.2140/jomms.2009.4.351

G. Losilla, P. Montmitonnet, M. Bouzaiane, and P. Clément, Modélisation du laminage circulaire par éléments finis. Calculs thermomécaniques et calculs microstructuraux, Proc. Matériaux, 2002.

V. Malik and H. S. Hebbar, Effect of Coefficient of Friction in Finite Element Modeling of Friction Stir Welding and its Importance in Manufacturing Process Modeling Applications, Int. Journal of Applied Sciences and Engineering Research, vol.3, issue.4, pp.755-762, 2014.

S. Marie, Un modèle de parallélisation S.P.M.D. pour la simulation numérique de procédés de mise en forme de matériaux, 1997.

W. Mccune, H. Ou, C. Armstrong, and M. Price, Modelling Friction Stir Welding with the Finite Element Method-a comparative study, 5th International Symposium on Friction Stir Welding, 2004.

R. S. Mishra and Z. Y. Ma, Friction stir welding and processing, Materials Science and Engineering: R: Reports, vol.50, issue.1-2, pp.1-78, 2005.
DOI : 10.1016/j.mser.2005.07.001

K. Mocellin, Contribution à la simulation numérique tridimensionnelle du forgeage à chaud : étude du contact et calcul multigrille, 1999.

T. Nagata, Simple local interpolation of surfaces using normal vectors, Computer Aided Geometric Design, vol.22, issue.4, pp.327-347, 2005.
DOI : 10.1016/j.cagd.2005.01.004

F. Palm, U. Henneboehle, and V. Erofeev, Improved verification of FSW-process modelling relating to the origin of material plasticity, 5th International Symposium on Friction Stir Welding, 2004.

W. Pan, D. Li, A. M. Tartakovsky, S. Ahzi, M. Khraisheh et al., A new smoothed particle hydrodynamics non-Newtonian model for friction stir welding: Process modeling and simulation of microstructure evolution in a magnesium alloy, International Journal of Plasticity, vol.48, pp.189-204, 2013.
DOI : 10.1016/j.ijplas.2013.02.013

S. Philippe, Développement d'une formulation arbitrairement lagrangienne eulérienne pour la simulation tridimensionnelle du laminage de produits plats, 2009.

S. Philippe, L. Fourment, and P. Montmitonnet, Application of the Arbitrary Lagrangian Eulerian formulation to the numerical simulation of stationary forming processes with dominant tangential material motion, Steel Research International, vol.2, issue.2, pp.571-578, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00509812

U. Ripert, Methode iterative de recherche de l'etat stationnaire des procedes de mise en forme : application au laminage, 2014.
URL : https://hal.archives-ouvertes.fr/pastel-01018391

B. S. Roy, A. S. Chaudhuri, and S. C. Saha, On the Issues of Asymmetry Observed in Heat Transfer & Material Flow in Friction Stir Welding, Advanced Materials Research, pp.622-623, 2012.

H. Schmidt and J. Hattel, A local model for the thermomechanical conditions in friction stir welding, Modelling and Simulation in Materials Science and Engineering, vol.13, issue.1, pp.77-93, 2005.
DOI : 10.1088/0965-0393/13/1/006

A. Shakibaeinia and Y. Jin, MPS mesh-free particle method for multiphase flows, Computer Methods in Applied Mechanics and Engineering, vol.229, issue.232, pp.229-232, 2012.
DOI : 10.1016/j.cma.2012.03.013

M. Song and R. Kovacevic, Thermal modeling of friction stir welding in a moving coordinate system and its validation, International Journal of Machine Tools and Manufacture, vol.43, issue.6, pp.605-615, 2003.
DOI : 10.1016/S0890-6955(03)00022-1

C. Stoker, Developments of the Arbitrary Lagrangian Eulerian Method in non-linear Solid Mechanics, 1999.

W. Tang, X. Guo, J. C. Mcclure, and L. E. Numes, Heat Input and Temperature Distribution in Friction Stir Welding, Journal of Materials Processing & Manufacturing Science, vol.7, issue.2, pp.163-172, 1998.
DOI : 10.1106/55TF-PF2G-JBH2-1Q2B

I. Terreros, Modelisation DEM thermo-mecanique d 'un milieu continu. Vers la simulation du procede FSW, 2013.
URL : https://hal.archives-ouvertes.fr/pastel-00996971

I. Terreros, I. Iordanoff, J. L. Charles, D. Coupard, and S. Tcherniaieff, Discrete element method, a tool to investigate complex thermo mechanical behaviour: application to friction stir welding, International Journal of Material Forming, vol.146, issue.S1, pp.573-576, 2009.
DOI : 10.1007/s12289-009-0433-9

URL : https://hal.archives-ouvertes.fr/hal-01133605

P. L. Threadgill, A. J. Leonard, H. R. Shercliff, and P. J. Withers, Friction stir welding of aluminium alloys, International Materials Reviews, vol.58, issue.2, pp.49-93, 2009.
DOI : 10.1179/174327807X159916

S. Tutunchilar, M. Haghpanahi, M. K. Besharati-givi, P. Asadi, and P. Bahemmat, Simulation of material flow in friction stir processing of a cast Al???Si alloy, Materials & Design, vol.40, pp.415-426, 2012.
DOI : 10.1016/j.matdes.2012.04.001

P. Ulysse, Three-dimensional modeling of the friction stir-welding process, International Journal of Machine Tools and Manufacture, vol.42, issue.14, pp.1549-1557, 2002.
DOI : 10.1016/S0890-6955(02)00114-1

H. Wang, P. Colegrove, and J. F. Santos, Numerical investigation of the tool contact condition during friction stir welding of aerospace aluminium alloy, Computational Materials Science, vol.71, pp.101-108, 2013.
DOI : 10.1016/j.commatsci.2013.01.021

D. Yan, A. Wu, J. Silvanus, and Q. Shi, Predicting residual distortion of aluminum alloy stiffened sheet after friction stir welding by numerical simulation, Materials & Design, vol.32, issue.4, pp.2284-2291, 2011.
DOI : 10.1016/j.matdes.2010.11.032

S. Yazdanian and Z. W. Chen, Effect of friction stir lap welding conditions on joint strength of aluminium alloy 6060, Processing, Microstructure and Performance of Materials. IOP Conference Series: Materials Science and Engineering, p.12021, 2009.
DOI : 10.1088/1757-899X/4/1/012021

G. Yoshikawa, F. Miyasaka, Y. Hirata, Y. Katayama, and T. Fuse, Development of numerical simulation model for FSW employing particle method, Science and Technology of Welding and Joining, vol.181, issue.3, pp.255-263, 2012.
DOI : 10.1179/1362171811Y.0000000099

M. Yu, W. Y. Li, J. L. Li, and Y. J. Chao, Modelling of entire friction stir welding process by explicit finite element method, Materials Science and Technology, vol.28, issue.7, pp.28-812, 2012.
DOI : 10.1179/174329306X102093

H. W. Zhang, Z. Zhang, and J. T. Chen, 3D modeling of material flow in friction stir welding under different process parameters, Journal of Materials Processing Technology, vol.183, issue.1, pp.62-70, 2007.
DOI : 10.1016/j.jmatprotec.2006.09.027

Z. Zhang, Comparison of two contact models in the simulation of friction stir welding process, Journal of Materials Science, vol.45, issue.8, pp.43-5867, 2008.
DOI : 10.1007/s10853-008-2865-x

Z. Zhang and H. W. Zhang, Numerical studies on controlling of process parameters in friction stir welding, Journal of Materials Processing Technology, vol.209, issue.1, pp.241-270, 2009.
DOI : 10.1016/j.jmatprotec.2008.01.044

O. C. Zienkiewicz and J. Z. Zhu, A simple error estimator and adaptive procedure for practical engineerng analysis, International Journal for Numerical Methods in Engineering, vol.7, issue.18, pp.337-357, 1987.
DOI : 10.1002/nme.1620240206

S. Zimmer, B. Da-costa, X. Stassart, and L. Langlois, Le soudage par Friction Malaxage, 2007.