M. Arminjon and J. Chenot, An Implicit Formulation for Finite Element Analysis of Dynamic Plastic Deformation in 2D Geometry, Numerical Techniques for Engineering Analysis and Design, pp.1-10, 1987.
DOI : 10.1007/978-94-009-3655-3_2

D. N. Arnold, F. Brezzi, and M. Fortin, A stable finite element for the stokes equations, Calcolo, vol.21, issue.4, pp.337-344, 1984.
DOI : 10.1007/BF02576171

K. Bathe, Finite element procedures, 1996.

K. J. Bathe, O. Guillermin, and H. Chen, Advances in nonlinear finite element analysis of automobiles, Computers & Structures, vol.64, issue.5-6, pp.881-891, 1997.
DOI : 10.1016/S0045-7949(97)00035-7

T. Bellytschko, P. Smolinski, and W. K. Liu, Stability of multi-time step partitioned integrators for first-order finite element systems, Computer Methods in Applied Mechanics and Engineering, vol.49, issue.3, pp.181-197, 1985.
DOI : 10.1016/0045-7825(85)90126-4

T. Belytschko and T. J. Hughes, Explicit lagrangian finite-element methods, Computational Methods in Mechanics, vol.1, issue.8, pp.361-413, 1983.

C. Bohatier and J. Chenot, Finite element formulations for non-steady-state large viscoplastic deformation, International Journal for Numerical Methods in Engineering, vol.4, issue.9, pp.1697-1708, 1985.
DOI : 10.1002/nme.1620210911

F. Brezzi and M. Fortin, Mixed and hybrid finite element methods, 1991.
DOI : 10.1007/978-1-4612-3172-1

J. Chenot, A velocity approach to finite element calculation of elastoplastic and viscoplastic deformation processes, Engineering Computations, vol.5, issue.1, pp.2-9, 1988.
DOI : 10.1108/eb023714

J. Chenot and F. Bay, An overview of numerical modelling techniques, Journal of Materials Processing Technology, vol.80, issue.81, pp.80-818, 1998.
DOI : 10.1016/S0924-0136(98)00205-2
URL : https://hal.archives-ouvertes.fr/hal-00618432

J. Chenot and M. Bellet, The ALE method for the numerical simulation of material forming processes, Simulation of Materials Processing : Theory, Methods and Applications, NUMIFORM'95, pp.39-48, 1995.

G. C. Cornfeld and R. H. Johnson, Theoretical prediction of plastic flow in hot-rolling including the effect of various temperature distribution, 1971.

G. C. Cornfield and R. H. Johnson, Theoretical prediction of plastic flow in hot rolling including the effect of various temperature distribution, J. Iron Steel Inst, vol.211, p.567, 1973.

T. Coupez and J. Chenot, Large deformation and automatic remeshing, Computational Plasticity, 1992.

T. Coupez and J. Chenot, Mesh topology for mesh generation problems, Numerical Methods in Industrial Forming Processes, 1992.

A. J. Crook, M. Dutko, and G. C. Huang, Adaptive strategies for implicit and explicit elastoplastic forming process, Computational Methods in Applied Sciences, pp.566-572, 1996.

L. D. 'alvise, E. Massoni, and S. J. Walloe, Finite element modelling of the inertial friction welding process, Numerical Methods in Industrial Forming Processes, NUMIFORM 2001 Japan, pp.1101-1106, 2001.

J. Donéa, Advanced Structural Dynamics Applied Science Publishers, LTD London, 1978.

G. Dhatt and G. Touzot, Une présentation de la méthode desélémentsdeséléments finis, MALOINE S.A, 1984.

D. Euvrard, Résolution numérique deséquationsdeséquations aux dérivées partielles de la physique , de la mécanique et des sciences de l'ingénieur. Différence finis, ´ eléments finis, probì eme en domaine non borné, 1994.

D. P. Flanagan and T. Belytschko, A uniform strain hexahedron and quadrilateral with orthogonal hourglass control, International Journal for Numerical Methods in Engineering, vol.2, issue.5, pp.679-706, 1981.
DOI : 10.1002/nme.1620170504

A. Fortin, Analyse numérique pour ingénieurs. Edition de l'Ecole Polytechnique de Montréal, 1995.

M. Fortin, Old and new finite elements for incompressible flows, International Journal for Numerical Methods in Fluids, vol.1, issue.4, pp.347-364, 1981.
DOI : 10.1002/fld.1650010406

J. O. Hallquist and R. G. Whirley, DYNA 3D : Nonlinear dynamic analysis of structures in three dimensions, 1981.

J. Huétin, P. N. Van-der, and . Helm, On Euler-Lagrange finite element formulation in forming and fluid problems, Numerical Methods in Industrial Forming Processes, pp.45-54, 1992.

O. Jacquotte and J. T. Oden, Analysis and treatment of hourglass instabilities in underintegrated finite element methods, Proceedings of the International Conference on Innovative Methods for Nonlinear Problems, 1984.

F. Jourdan, M. Jean, and P. Alart, An alternative method between implicit and explicit schemes devoted to frictional contact problems in deep drawing simulation, Journal of Materials Processing Technology, vol.80, issue.81, pp.80-81257, 1998.
DOI : 10.1016/S0924-0136(98)00143-5

D. W. Jung and D. Y. Yang, Elastic-Plastic Finite Element Analysis of Automotive Body Panel Stamping Processes Using Dynamic Explicit Time Integration Scheme, Journal of Materials Engineering and Performance, vol.8, issue.6, pp.719-729, 1999.
DOI : 10.1361/105994999770346503

H. Kardenstuncer and D. H. Norrie, Finite element handbook, 1987.

M. Kawka, T. Kakita, and A. Makinouchi, Simulation of multi-step sheet metal forming process by a static explicit FEM code New solutions to rigid plastic deformation problems using a matrix method, Journal of Materials Processing Technology Journal of Engineering and Industry ASME, pp.80-8154, 1973.

S. W. Lee and D. Y. Yang, An assessment of numerical parameters influencing springback in explicit finite element analysis of sheet metal forming process, Journal of Materials Processing Technology, vol.80, issue.81, pp.80-8160, 1998.
DOI : 10.1016/S0924-0136(98)00177-0

W. K. Liu, T. Belytschko, J. S. Ong, and S. E. Law, The use of stabilisation matrices in nonlinear analysis, Proceedings of the International Conference on Innovative Methods for Nonlinear Problems, 1984.

A. G. Mamalis, D. E. Manolakos, and A. K. Baldoukas, Simulation of sheet metal forming using explicit finite element techniques: effect of material and forming characteristics, Journal of Materials Processing Technology, vol.72, issue.1, pp.110-116, 1997.
DOI : 10.1016/S0924-0136(97)00137-4

A. G. Mamalis, D. E. Manolakos, and A. K. Baldoukas, Simulation of sheet metal forming using explicit finite-element techniques: effect of material and forming characteristics, Journal of Materials Processing Technology, vol.72, issue.1, pp.48-60, 1997.
DOI : 10.1016/S0924-0136(97)00128-3

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

J. M. Marques and D. R. Owen, Implicit-explicit time integration in quasistatic elastoviscoplasticity using finite and infinite elements, Computer Methods in Applied Mechanics and Engineering, vol.42, issue.2, pp.167-182, 1984.
DOI : 10.1016/0045-7825(84)90024-0

T. D. Marusich and M. Ortiz, Modelling and simulation of high-speed machining, International Journal for Numerical Methods in Engineering, vol.36, issue.18, pp.3675-3694, 1995.
DOI : 10.1002/nme.1620382108

E. Massoni, M. Bellet, M. Abouaf-abd, and J. Chenot, Large displacement numerical calculation of 3-dimensional elastoplastic and elasto-viscoplastic membrane by the finite element method, Int. Conf. on Numerical Methods for Non-linear Problems, pp.480-493, 1986.

K. Mattiasson, L. Bernspang, A. Honecker, E. Schedin, T. Hamman et al., On the use of explicit time integration of finite element simulation in industrial sheets forming process. VDI-Bericht 894 FE-Simulations of 3D Sheet Metal Forming Processes in Automotive Industry, p.479, 1991.

K. Mocellin, ContributionàContribution`Contributionà la simulation numérique tridimensionelle du forgeagè a chaud : Etude du contact et calcul multigrille, Thèse de doctorat, 1999.

J. C. Nagtegaal and L. M. Taylor, Comparison of implicit and explicit finite element methods for analysis of sheet forming problems. VDI-Bericht 894 FE-Simulations of 3D Sheet Metal Forming Processes in Automotive Industry, pp.705-725, 1991.

A. K. Noor and J. M. Peters, Large deformation inelastic dynamic analysis of sheels of revolution via mixed finite element models, Proceedings of the International Conference on Innovative Methods for Nonlinear Problems, pp.187-215, 1984.

P. Nordlund and B. Häggblad, Prediction of wrinkle tendencies in explicit sheet metal-forming simulations, International Journal for Numerical Methods in Engineering, vol.14, issue.22, pp.4079-4095, 1997.
DOI : 10.1002/(SICI)1097-0207(19971130)40:22<4079::AID-NME250>3.0.CO;2-#

E. Oñate and C. Agelet-de-saracibar, Alternatives for finite element analysis of sheet metal forming problems, Numerical Methods in Industrial Forming Processes, NUMIFORM'92, pp.79-88, 1992.

O. Pantale, M. Touratier, R. Rakotomalala, and N. Hakem, A three-dimensional numerical model of orthogonal and oblique metal cutting processes, American Society of Mechanical Engineering, vol.3, 1996.

E. Perchat, Mini-´ elément et factorisationsincompì etes pour la parallélisation d'un solveur de Stokes 2D, 2000.

R. Rakotomalala and P. Joyot, Arbitrary Lagrangian-Eulerian thermomechanical finite-element model of material cutting, Communications in Numerical Methods in Engineering, vol.46, issue.12, pp.975-987, 1993.
DOI : 10.1002/cnm.1640091205

N. Rebelo, J. C. Nagtegaal, and L. M. Taylor, Comparation of implicit and explicit finite element method in the simulation of metal forming processes, Numerical Methods in Industrial Forming Processes, pp.237-242, 1992.

J. Rojek, E. Oñate, and E. Postek, Application of explicit FE codes to simulation of sheet and bulk metal forming processes, Journal of Materials Processing Technology, vol.80, issue.81, pp.80-81620, 1998.
DOI : 10.1016/S0924-0136(98)00169-1

J. Rojek, O. C. Zienkiewicz, E. Oñate, and R. L. Taylor, Simulation of metal forming using new formulation of triangular and tetrahedral elements, Metal Forming, pp.149-155, 2000.

F. W. Sharman, Analysis of metal deformation-extrusion, 1972.

P. Smolinski, S. Sleith, and T. Belytschko, Stability of an explicit multi-time step integration algorithm for linear structural dynamics equations, Computational Mechanics, vol.26, issue.6, pp.236-244, 1996.
DOI : 10.1007/BF00369941

B. Soltani, K. Mattiasson, and A. Samuelsson, Implicit and dynamic explicit solutions of blade forging using the finite element method, Journal of Materials Processing Technology, vol.45, issue.1-4, p.69, 1994.
DOI : 10.1016/0924-0136(94)90320-4

C. Stoker, C. Gay, F. Bay, and J. Chenot, A velocity approach for the ALEmethod applied to 2D and 3D problems, Simulation of Materials Processing : Theory, Methods and Applications, pp.95-101, 1998.

H. C. Stoker, Developements of the Arbitrary Lagrangian-Eulerian method in nonlinear solid mechanics. Applications to forming processes, 1999.

G. Surdon and J. Chenot, Finite element calculations of three-dimensional hot forming, Numerical Methods in Industrial Forming Processes, NUMIFORM'86, pp.287-292, 1986.

L. M. Taylor, D. P. Flanagan, M. Teodorescu, K. Mocellin, R. Ducloux et al., Pronto 2d : a two dimensional transient solid dynamics program A partely-explicit finite element formulation for the forging process, International Journal of Computational Engineering Science, vol.2, issue.3, pp.425-452, 1987.

K. Traore, Simulation thermomécanique du laminage circulaire. Développement d'une formulation quasi-Eulérienne tridimensionnelle sur une architectureparalì ele, Thèse de doctorat, 2001.

R. H. Wagoner and J. Chenot, Metal forming analysis, 2001.

S. P. Wang, S. Choudhry, and T. B. Wertheimer, Comparison between the static implicit and dynamic explicit methods for FEM simulation of sheet forming process, Simulation of Material Processing : Theory, Methods and Applications, pp.245-250, 1998.

R. G. Whirley, B. E. Engelmann, and R. W. Logan, Some aspects of sheet forming simulations using explicit finite element techniques. Numerical Methods for Simulation of Industrial Metal Forming Processes, p.156, 1992.

J. P. Wright, Numerical stability of a variable time step explicit method for Timoshenko and Mindlin type structures, Communications in Numerical Methods in Engineering, vol.43, issue.2, pp.81-8679, 1998.
DOI : 10.1002/(SICI)1099-0887(199802)14:2<81::AID-CNM125>3.0.CO;2-0

S. R. Wu and J. Cheng, Advanced development of explicit FEA in automotive applications, Computer Methods in Applied Mechanics and Engineering, vol.149, issue.1-4, pp.189-199, 1997.
DOI : 10.1016/S0045-7825(97)00074-1

Y. H. Yoo, D. Y. Yang, and D. T. Chung, Numerical simulation of multi???blow forging processes using the explicit time integration finite element method, Engineering Computations, vol.14, issue.8, pp.901-925, 1997.
DOI : 10.1108/02644409710192272

S. Yossifon and J. Tirosh, On suppression of plastic buckling in hydroforming processes, International Journal of Mechanical Sciences, vol.26, issue.6-8, pp.389-402, 1984.
DOI : 10.1016/0020-7403(84)90029-8

S. H. Zhang, K. B. Nielsen, J. Danckert, and Z. R. Wang, Numerical simulation of the integral hydro-bulge forming of non-clearance double-layer spherical vessels: analysis of the stress state, Journal of Materials Processing Technology, vol.75, issue.1-3, pp.212-221, 1998.
DOI : 10.1016/S0924-0136(97)00367-1

O. C. Zienkiewicz and K. Godbole, Flow of plastic and visco-plastic solids with special reference to extrusion and forming processes, International Journal for Numerical Methods in Engineering, vol.5, issue.1, 1974.
DOI : 10.1002/nme.1620080102

O. C. Zienkiewicz, P. C. Jain, and E. Oñate, Flow of solids during forming and extrusion: Some aspects of numerical solutions, International Journal of Solids and Structures, vol.14, issue.1, pp.15-38, 1978.
DOI : 10.1016/0020-7683(78)90062-8

O. C. Zienkiewicz, J. Szmelter, and J. Peraire, Compressible and incompressible flow; An algorithm for all seasons, Computer Methods in Applied Mechanics and Engineering, vol.78, issue.1, pp.105-121, 1990.
DOI : 10.1016/0045-7825(90)90155-F

O. C. Zienkiewicz and R. L. Taylor, The finite element method, 1988.

O. C. Zienkiewicz and J. L. Trad, La méthode desélémentsdeséléments finis, 1979.

O. C. Zienkiewicz, J. Z. Zhu, and G. C. Huang, Error estimation and adaptivity in flow formulation for forming problems, International Journal for Numerical Methods in Engineering, vol.1, issue.1, pp.23-42, 1988.
DOI : 10.1002/nme.1620250105