]. T. Altan and S. Kobayashi, A Numerical Method for Estimating the Temperature Distributions in Extrusion Through Conical Dies, Journal of Engineering for Industry, vol.90, issue.1, 1968.
DOI : 10.1115/1.3604584

. J. Archard, Contact and Rubbing of Flat Surfaces, Journal of Applied Physics, vol.24, issue.8, 1953.
DOI : 10.1063/1.1721448

]. L. Baillet and T. Sassi, Simulations num??riques de diff??rentes m??thodes d'??l??ments finis pour les probl??mes de contact avec frottement, Comptes Rendus M??canique, vol.331, issue.11, pp.789-796, 2003.
DOI : 10.1016/j.crme.2003.08.005

]. O. Barrau, C. Boher, R. Gras, and F. , Analysis of the friction and wear behaviour of hot work tool steel for forging, Wear, vol.255, issue.7-12, pp.1444-1454, 2003.
DOI : 10.1016/S0043-1648(03)00280-1

]. G. Bernhart, G. Moulinier, O. Brucelle, and D. Delagnes, High temperature low cycle fatigue behaviour of a martensitic forging tool steel, International Journal of Fatigue, vol.21, issue.2, pp.179-186, 1999.
DOI : 10.1016/S0142-1123(98)00064-4

R. Boussetta and L. Fourment, A Posteriori Error Estimation And Threedimensional Adaptive Remeshing: Application To Error Control Of Non-Steady Metal Forming Simulations, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00531233

]. F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods, 1991.
DOI : 10.1007/978-1-4612-3172-1

]. O. Brucelle and G. Bernahrt, Methodology for service life increase of hot forging tools, Journal of Materials Processing Technology, vol.87, issue.1-3, pp.237-246, 1999.
DOI : 10.1016/S0924-0136(98)00357-4

]. Chenot, L. Fourment, and K. Mocellin, Numerical treatment of contact and friction in FE simulation of forming processes, Journal of Materials Processing Technology, vol.125, issue.126, pp.125-126, 2002.
DOI : 10.1016/S0924-0136(02)00416-8

URL : https://hal.archives-ouvertes.fr/hal-00613079

]. T. Coupez, A mesh improvement method for 3D automatic remeshing, 1994.

. Weatherill, Numerical Grid Generation in Computational Fluid Dynamics and Related Fields, pp.615-626, 1994.

]. T. Coupez, Stable stabilized finite element for 3D forming calculation, ENSMP, 1995.

]. T. Coupez, Parallel adaptative remeshing in 3D moving mesh finite element, Numerical Grid Generation in Computational Field Simulations, pp.783-792, 1996.

]. J. Daniel, J. C. Gelin, and P. Paquier, Polyform ? logiciel 3d pour la simulation du forgeage et l'emboutissage des matériaux, Colloque national en calcul des structures, pp.1166-1178, 1993.

]. F. Diko and M. J. Hashami, Finite Element Simulation of Metal Forming Processes ans Die Design, Numerical Methods in Industrial Forming Process, pp.601-603, 1992.

]. M. Gierzynska-dolna, M. Pietrzyk, and P. Lacki, Influence of the lubricant on temperature distribution in the forging dies, Steel Research, vol.41, issue.10, pp.424-429, 1995.
DOI : 10.1002/srin.199501148

]. R. Gu, P. Murty, and Q. Zheng, Use of penalty variable in finite element analysis of contacting objects, Computers & Structures, vol.80, issue.31, pp.2449-2459, 2002.
DOI : 10.1016/S0045-7949(02)00330-9

]. N. Hu, A solution method for dynamic contact problems, Computers & Structures, vol.63, issue.6, pp.63-69, 1997.
DOI : 10.1016/S0045-7949(96)00408-7

]. J. Kan-1999, I. W. Kang, J. S. Park, S. S. Jae, and . Kang, A study on die wear model considering thermal softening (II) : Application of the suggested wear model, Journal of Materials Processing Technology, vol.94, pp.183-188, 1999.

]. T. Kato and T. Kawabe, Process Dynamics and Optimum Operating Condition of Repeated Backward Cold Extrusion, Advanced Technology of Plasticity, vol.1, 1990.

]. T. Kawabe, T. Kato, and T. Wada, Development of a Mathematical Model for Thermal Analysis During Repeated Backward Cold Extrusion, Advanced Technology of Plasticity, vol.1, 1990.

]. D. Kircher, H. Michaud, and G. Emond, Application of Numerical Simulation for Analyse of Hot Forging Tool's Wear, 1999.

]. H. Kojima and S. Fujikawa, Development of forging process optimization system using wear model, Proceedings of the 7 th ICTP, pp.223-228, 2002.

]. Y. Kwon and G. W. Fisher, A novel approach to quantifying tool wear and tool life measurements for optimal tool management, International Journal of Machine Tools and Manufacture, vol.43, issue.4, pp.359-368, 2003.
DOI : 10.1016/S0890-6955(02)00271-7

]. T. Laursen and J. C. Simo, A Continuum-Based Finite Element Formulation for the Implicit Solution of Multibody, Large Deformation Frictionnal Contact Problems, International Journal for Numerical Methods in Engineering, pp.36-3451, 1993.

]. S. Lundberg, The influence of rolling temperature on roll wear, investigated in a new high temperature test rig, Journal of Materials Processing Technology, vol.42, issue.3, pp.239-291, 1994.
DOI : 10.1016/0924-0136(94)90181-3

Z. Malinkowski, J. G. Lenard, and M. E. Davies, A study of the heat-transfer coefficient as a function of temperature and pressure, Journal of Materials Processing Technology, vol.41, issue.2, pp.125-142, 1994.
DOI : 10.1016/0924-0136(94)90057-4

]. P. Papadopoulos and J. M. Solberg, A Lagrange multiplier method for the finite element solution of frictionless contact problems, Mathematical and Computer Modelling, vol.28, issue.4-8, pp.373-384, 1998.
DOI : 10.1016/S0895-7177(98)00128-9

]. E. Pichelin, L. Fourment, and J. L. Chenot, A Master-Slave Algorithm for Solving Contact Problem Between Deformable Bodies, 2000.

]. E. Pichelin, K. Mocellin, L. Fourment, and J. L. Chenot, An application of a master slave algorithm for solving 3D contact problems between deformable bodies in forming processes Large deformation frictional contact mechanics : continuum formulation and augmented lagrangian treatment, Revue Européenne des Eléments finisPIE Comput. Methods Appl. Mech. Engrg, vol.10, issue.177, pp.857-880, 1999.

]. N. Rebelo and S. Kobayashi, A coupled analysis of viscoplastic deformation and heat transfer???I, International Journal of Mechanical Sciences, vol.22, issue.11, pp.699-705, 1980.
DOI : 10.1016/0020-7403(80)90072-7

]. P. Revel, K. Necib, G. Béranger, and H. Michaud, Simulation exp??rimentale de la fatigue thermique d???un cylindre rev??tu par un d??p??t en acier inoxydable martensitique, Revue de M??tallurgie, vol.95, issue.5, 1998.
DOI : 10.1051/metal/199895050679

]. P. Revel, D. Kircher, and V. Bogard, Experimental and numerical simulation of a stainless steel coating subjected to thermal fatigue, Materials Science and Engineering: A, vol.290, issue.1-2, pp.25-32, 2000.
DOI : 10.1016/S0921-5093(00)00942-4

]. D. Rousseau, J. P. Riegert, L. Séraphin, and R. Tricot, fatigue thermique des aciers ?? outils pour travail ?? chaud, Revue de M??tallurgie, vol.72, issue.12, 1975.
DOI : 10.1051/metal/197572120875

T. Sobis, U. Engel, and M. Geiger, A theoretical study on wear simulation in metal forming processes, Journal of Materials Processing Technology, vol.34, issue.1-4, pp.233-240, 1990.
DOI : 10.1016/0924-0136(92)90112-6

]. C. Starling and J. R. Branco, Thermal fatigue of hot work tool steel with hard coatings. Thin Solid Films 308-309, Journal of Materials Processing Technology, vol.113, pp.436-442, 1997.

]. Y. Tronel and J. L. Chenot, Prediction of tool wear using finite-element software for the three-dimensional simulation of the hot-forging process, Journal of Materials Processing Technology, vol.31, issue.1-2, pp.31-255, 1992.
DOI : 10.1016/0924-0136(92)90026-O

. Akashi, Development of a CAE system on prediction of hot forging die life Advanced Technology of Plasticity, Proceedings of the 7 th ICTP, 2002.

]. H. Wissmeier, U. , and M. Geiger, Critère de rupture applicable à la conception des matrices de frappe en métal dur, Le Tréfilé, vol.41, pp.49-53, 1991.

]. K. Yamada, S. Ogawa, and M. Ataka, Three-Dimensional Analysis of Flat Rolling Using Rigid-Plastic Finite Element Method Coupled with Roll Deformation Analysis, Numerical Methods in Industrial Forming Process, pp.755-761, 1992.

S. Yang, Q. Qu, N. Zhu, and . Min, FE Simulation for a forging system, Journal of Materials Processing Technology, vol.63, pp.678-683, 1997.

]. G. Zavarise, P. Wriggers, E. Stein, and B. A. Schrefler, Real contact mechanisms and finite element formulation???a coupled thermomechanical approach, International Journal for Numerical Methods in Engineering, vol.24, issue.4, pp.767-785, 1992.
DOI : 10.1002/nme.1620350409