Meshless methods: An overview and recent developments, Computer Methods in Applied Mechanics and Engineering, vol.139, issue.1-4, pp.1-4, 1996. ,
DOI : 10.1016/S0045-7825(96)01078-X
Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations, Computer Methods in Applied Mechanics and Engineering, vol.180, issue.1-2, pp.1-2, 1999. ,
DOI : 10.1016/S0045-7825(99)00051-1
Element-free Galerkin methods, International Journal for Numerical Methods in Engineering, vol.95, issue.2, pp.229-256, 2004. ,
DOI : 10.1093/mnras/181.3.375
Modelling of the residual state of friction stir welded plates, Journal of Materials Processing Technology, vol.200, issue.1-3, pp.1-3, 2008. ,
DOI : 10.1016/j.jmatprotec.2007.10.083
URL : https://hal.archives-ouvertes.fr/hal-00418564
Steady state thermomechanical modelling of friction stir welding, Science and Technology of Welding and Joining, vol.41, issue.11, pp.278-288, 2006. ,
DOI : 10.1016/0022-5096(93)90027-D
URL : https://hal.archives-ouvertes.fr/hal-00419734
Crack propagation modelling using an advanced remeshing technique, Computer Methods in Applied Mechanics and Engineering, vol.189, issue.3, pp.723-742, 2000. ,
DOI : 10.1016/S0045-7825(99)00324-2
URL : https://hal.archives-ouvertes.fr/hal-00677709
A unified stability analysis of meshless particle methods, International Journal for Numerical Methods in Engineering, vol.8, issue.9, pp.1359-1400, 2000. ,
DOI : 10.1002/nme.1620310309
Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations, International Journal for Numerical Methods in Engineering, vol.146, issue.6, pp.1189-1214, 2000. ,
DOI : 10.1016/S0045-7825(96)01234-0
DYNAMIC FRACTURE USING ELEMENT-FREE GALERKIN METHODS, International Journal for Numerical Methods in Engineering, vol.47, issue.6, pp.923-938, 1996. ,
DOI : 10.1520/STP27387S
Soudage par friction-malaxage, Techniques de l'Ingénieur, 2003. ,
Material Flow Behavior during Friction Stir Welding of Aluminium, Welding Journal, vol.78, issue.71, pp.229-237, 1999. ,
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
Tool penetration during friction stir spot welding of Al and Mg alloys, Journal of Materials Science, vol.102, issue.1152, pp.6473-6481, 2005. ,
DOI : 10.1007/s10853-005-1568-9
Numerical Computation of Internal and External Flows, 1988. ,
Numerical techniques for the simulation of crack growth of the postgraduate programme Mathematics for industry, 1994. ,
Coupling element free galerkin and finite element method, 2000. ,
Mechanical and thermal modelling of Friction Stir Welding, Journal of Materials Processing Technology, vol.171, issue.3, pp.348-357, 2005. ,
DOI : 10.1016/j.jmatprotec.2005.07.014
URL : https://hal.archives-ouvertes.fr/hal-00292979
Some Studies of the Reproducing Kernel Particle Method, 2001. ,
DOI : 10.1007/978-3-642-56103-0_13
Forces in friction stir welding of aluminium alloy, International FSW Symposium, 2001. ,
A high order implicit algorithm for solving instationary non-linear problems, Computational Mechanics, vol.28, pp.375-380, 2002. ,
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
Enforcement of essential boundary conditions in meshless approximations using finite elements, Computer Methods in Applied Mechanics and Engineering, vol.131, issue.1-2, pp.133-145, 1996. ,
DOI : 10.1016/0045-7825(95)00954-X
Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions, Computer Methods in Applied Mechanics and Engineering, vol.148, issue.3-4, pp.257-277, 1997. ,
DOI : 10.1016/S0045-7825(96)00007-2
The role of friction stir welding tool on material flow and weld formation, Materials Science and Engineering: A, vol.485, issue.1-2, pp.367-374, 2008. ,
DOI : 10.1016/j.msea.2007.08.013
Prediction of temperature distribution and thermal history during friction stir welding: input torque based model, Science and Technology of Welding and Joining, vol.37, issue.5, pp.165-174, 2003. ,
DOI : 10.1080/104077800274145
An improved element free Galerkin formulation, International Journal for Numerical Methods in Engineering, vol.17, issue.16, pp.2953-2974, 1997. ,
DOI : 10.1007/978-1-4612-1098-6
A numerical approach to the testing of the fission hypothesis, The Astronomical Journal, vol.82, pp.1013-1024, 1977. ,
DOI : 10.1086/112164
Mesh free methods : moving beyond finite element methods, Boca Raton, 2003. ,
DOI : 10.1201/9781420040586
Advances in multiple scale kernel particle methods, Computational Mechanics, vol.18, issue.2, pp.73-111, 1996. ,
DOI : 10.1007/BF00350529
An introduction to Meshfree methods and their programming, pp.313-323, 2005. ,
Reproducing kernel particle methods for structural dynamics, International Journal for Numerical Methods in Engineering, vol.45, issue.10, pp.1655-1679, 1995. ,
DOI : 10.1115/1.3424304
Reproducing kernel particle methods, International Journal for Numerical Methods in Fluids, vol.45, issue.8-9, pp.1081-1106, 1995. ,
DOI : 10.1137/1.9781611970104
Flow visualization and residual microstructures associated with the friction-stir welding of 2024 aluminum to 6061 aluminum, Materials Science and Engineering: A, vol.271, issue.1-2, pp.213-223, 1999. ,
DOI : 10.1016/S0921-5093(99)00204-X
Surfaces generated by moving least squares methods, Mathematics of Computation, vol.37, issue.155, pp.141-158, 1981. ,
DOI : 10.1090/S0025-5718-1981-0616367-1
A contribution to a critical review of friction stir welding numerical simulation, Journal of Mechanics of Materials and Structures, vol.17, issue.2, pp.351-369, 2009. ,
DOI : 10.1016/j.jmatprotec.2006.09.027
High Strain Lagrangian Hydrodynamics, High strain Lagrangian hydrodynamics, pp.67-75, 1993. ,
DOI : 10.1006/jcph.1993.1199
On error estimation and adaptive refinement for element free Galerkin method : Part I : stress recovery and a posteriori error estimation, Computers & Structures, vol.82, pp.4-5, 2004. ,
On error estimation and adaptive refinement for element free Galerkin method : Part II : adaptive refinement, Computers & Structures, vol.82, pp.4-5, 2004. ,
Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface, Advances in Water Resources, vol.26, issue.7, pp.787-800, 2003. ,
DOI : 10.1016/S0309-1708(03)00030-7
Effect of boundary conditions and heat source distribution on temperature distribution in friction stir welding, Science and Technology of Welding and Joining, vol.8, issue.2, pp.170-177, 2006. ,
DOI : 10.1179/136217103225005624
The natural element method in solid mechanics, International Journal for Numerical Methods in Engineering, vol.27, issue.5, pp.839-887, 1998. ,
DOI : 10.1016/0013-7944(87)90155-X
Two-dimensional friction stir welding process model based on fluid mechanics, Science and Technology of Welding and Joining, vol.125, issue.1, pp.175-183, 2003. ,
DOI : 10.1115/1.1537741
Implicit algorithms and their linearization for the transient incompressible Navier-Stokes equations, IMA Journal of Numerical Analysis, vol.17, issue.4, pp.527-545 ,
DOI : 10.1093/imanum/17.4.527
Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schr??dinger equation, Journal of Computational Physics, vol.55, issue.2, pp.203-230, 1984. ,
DOI : 10.1016/0021-9991(84)90003-2
Friction stir welding of aluminium alloys, International Materials Reviews, vol.58, issue.2, p.93, 2009. ,
DOI : 10.1179/174327807X159916
A smoothed particle hydrodynamics model for miscible flow in three-dimensional fractures and the two-dimensional Rayleigh???Taylor instability, Journal of Computational Physics, vol.207, issue.2, pp.610-624, 2005. ,
DOI : 10.1016/j.jcp.2005.02.001
Intl. Patent Application no. PCT/GB92/02203 and GB Patent Application no. 9125978, Aluminum 2001-Proceedings of the TMS 2001 Aluminum Automotive and Joining Sessions, p.213, 1991. ,
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
Material stability analysis of particle methods, Advances in Computational Mathematics, vol.116, issue.3/4, pp.171-190, 2005. ,
DOI : 10.1007/s10444-004-1817-5
Mesh Free Methods : Moving Beyond the Finite Element Method, 2002. ,
DOI : 10.1201/9781420040586
Smmothed Particle Hydrodynamics : a meshfree particle method, 2003. ,
Institut de Soudure (Metz) (a)-Machine ESAB. (b) ,
outil de soudage aux instants (a) t 1 = 0.05s, (b) t 2 = 0.075s, (c) t 3 = 0, p.71 ,