B. Bourouga and J. Gilles, The Transition From Nucleate Boiling Towards the Convection: Application to the Quenching of Metallic Massive Parts, AIP Conference Proceedings, pp.1217-1220, 2007.
DOI : 10.1063/1.2729680

B. Bramfitt-1990-]-bramfitt and J. Speer, A perspective on the morphology of bainite, Metallurgical Transactions A, vol.2, issue.1, pp.817-829, 1990.
DOI : 10.1007/BF02656565

A. Buczek and T. Telejko, Inverse determination of boundary conditions during boiling water heat transfer in quenching operation, Journal of Materials Processing Technology, vol.155, issue.156, pp.155-156, 2004.
DOI : 10.1016/j.jmatprotec.2004.04.192

J. Foct-1997-]-foct and R. Taillard, Changements de phases à l'état solide, Les Aciers Spéciaux, Lavoisier -Techniques et Documentation, pp.174-203, 1997.

Y. Favennec-2002b-]-favennec, V. Labbe, and Y. Tillier, Identification of magnetic parameters by inverse analysis coupled with finite-element modeling, IEEE Transactions on Magnetics, vol.38, issue.6, pp.3607-3619, 2002.
DOI : 10.1109/TMAG.2002.804815

G. D. Garbulsky-1997-]-garbulsky, P. Marino, and A. Pignotti, Numerical model of induction heating of steel-tube ends, IEEE Transactions on Magnetics, vol.33, issue.1, pp.746-752, 1997.
DOI : 10.1109/20.560108

T. Nakata-1988a-]-nakata, N. Takahashi, and K. Fujiwara, Comparison of various methods for 3-D eddy current analysis, IEEE Transactions on Magnetics, vol.24, issue.6, pp.3159-3161, 1988.
DOI : 10.1109/20.92367

T. Nakata-1988b-]-nakata, N. Takahashi, and K. Fujiwara, Improvements of the T- Omega method for 3-D eddy current analysis, IEEE Transactions on Magnetics, vol.24, issue.1, pp.94-97, 1988.
DOI : 10.1109/20.43864

J. C. Nedelec-1980-]-nedelec, Mixed finite elements in ?3, Numerische Mathematik, vol.12, issue.3, pp.315-341, 1980.
DOI : 10.1007/BF01396415

W. J. Parker-1961-]-parker, R. J. Jenkins, and C. P. Butler, Flash Method of Determining Thermal Diffusivity, Heat Capacity, and Thermal Conductivity, Journal of Applied Physics, vol.32, issue.9, pp.1679-1684, 1961.
DOI : 10.1063/1.1728417

O. Saquet-1999-]-saquet, J. Chicois, and A. Vincent, Barkhausen noise from plain carbon steels: analysis of the influence of microstructure, Materials Science and Engineering: A, vol.269, issue.1-2, pp.73-82, 1999.
DOI : 10.1016/S0921-5093(99)00155-0

T. P. Skoczkowski-1989-]-skoczkowski and M. F. Kalus, The mathematical model of induction heating of ferromagnetic pipes, IEEE Transactions on Magnetics, vol.25, issue.3, pp.2745-2750, 1989.
DOI : 10.1109/20.24518

S. Willcock and B. Tanner, Harmonic analysis of B-H loops, IEEE Transactions on Magnetics, vol.19, issue.5, pp.2265-2270, 1983.
DOI : 10.1109/TMAG.1983.1062588

P. Delobelle-1984-]-delobelle and C. Oytana, Experimental study of the flow rules of a 316 stainless steel at high and low stresses, Nuclear Engineering and Design, vol.83, issue.3, pp.333-348, 1984.
DOI : 10.1016/0029-5493(84)90126-2

T. Inoue and K. Arimoto, Development and implementation of cae system ???hearts??? for heat treatment simulation based on metallo-thermo-mechanics, Journal of Materials Engineering and Performance, vol.34, issue.1, pp.51-60, 1997.
DOI : 10.1007/s11665-997-0032-1

J. C. Simo-1985-]-simo and R. L. Taylor, 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

P. Åkerström and M. Oldenburg, Austenite decomposition during press hardening of a boron steel?Computer simulation and test, BIBLIOGRAPHIE Journal of Materials Processing Technology, vol.174, pp.1-3, 2006.

P. J. Alberry-1982-]-alberry and W. C. Jones, Computer model for prediction of heat-affectedzone microstructures in multipass weldments, Metals Technology, vol.45, issue.9, pp.419-426, 1982.
DOI : 10.1179/030634568790443107

K. W. Andrews, Empirical formulas for the calculation of some transformation temperatures, JISI, vol.203, p.721, 1965.

M. F. Ashby and K. E. Easterling, The transformation hardening of steel surfaces by laser beams-I hypoeutectoid steels, pp.1935-1948, 1984.

F. Barbe, R. Quey, and L. Taleb, Numerical modelling of the plasticity induced during diffusive transformation. Case of a cubic array of nuclei, European Journal of Mechanics - A/Solids, vol.26, issue.4, pp.611-625, 2007.
DOI : 10.1016/j.euromechsol.2006.09.005

B. Buchmayr-1990-]-buchmayr and J. S. Kirkaldy, Modeling of the temperature field, transformation behavior, hardness and mechanical response of low alloy steels during cooling from the austenite region, Journal of Heat Treating, vol.36, issue.11, pp.127-136, 1990.
DOI : 10.1007/BF02831633

S. Denis, P. Archambault, and C. Aubry, Modelling of phase transformation kinetics in steels and coupling with heat treatment residual stress predictions, Le Journal de Physique IV, vol.09, issue.PR9, pp.323-332, 1999.
DOI : 10.1051/jp4:1999933

S. Denis-1987a-]-denis, Mosélisation des intéractions contrainte-transformation de phase et calcul par éléments finis de la génése des contraintes internes au cours de la trempe des aciers, Thèse de Doctorat, 1987.

S. Denis-1987b-]-denis, S. Sjöström, and A. Simon, Coupled temperature, stress, phase transformation calculation, Metallurgical Transactions A, vol.35, issue.6, pp.1203-1212, 1987.
DOI : 10.1007/BF02647190

J. M. Diani-1992-]-diani, H. Sabar, and M. Berveiller, Micromechanical modelling of the transformation induced plasticity (TRIP) phenomenon in steels, International Journal of Engineering Science, vol.33, issue.13, pp.1921-1934, 1992.
DOI : 10.1016/0020-7225(95)00045-Y

D. Farias, S. Denis, and A. Simon, Les transformations de phases en cycle thermique rapide et leur modélisation. Cas d'un acier XC42, pp.63-70, 1990.

F. D. Fisher, G. Reisner, and E. Werner, A new view on transformation induced plasticity (TRIP), International Journal of Plasticity, vol.16, issue.7-8, pp.723-748, 2000.
DOI : 10.1016/S0749-6419(99)00078-9

C. I. Garcia-1981-]-garcia and A. J. Deardo, Formation of austenite in 1.5 pct Mn steels, Metallurgical Transactions A, vol.2, issue.3, pp.521-530, 1981.
DOI : 10.1007/BF02648551

E. Gautier-1995-]-gautier, J. S. Zhang, and X. M. Zhang, Martensitic transformation under stress in ferrous alloys. Machanical behavior and resulting morphologies, J. Phys. IV supplément au J. Phys. III, vol.5, pp.41-50, 1995.

E. Gautier-1987-]-gautier, A. Simon, and G. Beck, Plasticité de transformation durant la transformation perlitique d'un acier eutectoide, pp.1367-1375, 1987.

G. W. Greenwood-1965-]-greenwood and R. H. Johnson, The Deformation of Metals Under Small Stresses During Phase Transformations, Proc. Roy. Soc. A, pp.403-422, 1965.
DOI : 10.1098/rspa.1965.0029

Z. Guo, J. -. Schillé, and N. Saunders, Modelling material properties leading to the prediction of distortion during heat treatment of steels for automotive applications, 2nd Int. Conf. on Heat Treatment and Surf. Eng. in Automotive Applications, 2005.

K. Inoue, E. Ohmura, and K. Haruta, Theoretical analysis of heat flow and structural changes during laser transformation hardening of hypoeutectoïdal steel, Trans. of JWRI, vol.16, issue.2, pp.49-56, 1987.

W. A. Johnson-1939-]-johnson and R. F. Mehl, Reaction kinetics in processes of nucleation and growth, trans. AIMME, vol.135, p.416, 1939.

O. G. Kasatkin-1984-]-kasatkin, B. B. Vinokur, and V. L. Pilyushenko, Calculation models for determining the critical points of steel, Metal Science and Heat Treatment, vol.79, issue.No. 4, pp.27-31, 1984.
DOI : 10.1007/BF00712859

J. S. Kirkaldy-1984-]-kirkaldy and D. Venugopalan, Prediction of microstructure and hardenability in low-alloy steels", The metalurgical Society, pp.125-148, 1984.

D. P. Koistinen-1959-]-koistinen and R. E. Marburger, A general equation prescribing the extent of the austenite-martensite transformation in pure iron-carbon alloys and plain carbon steels, Acta Metallurgica, vol.7, issue.1, pp.59-60, 1959.
DOI : 10.1016/0001-6160(59)90170-1

C. Y. Kung-1982-]-kung and J. J. Rayment, An examination of the validity of existing empirical formulae for the calculation of ms temperature, Metallurgical Transactions A, vol.2, issue.2, pp.328-331, 1982.
DOI : 10.1007/BF02643327

J. B. Leblond-1989-]-leblond, J. Devaux, and J. C. Devaux, Mathematical modelling of transformation plasticity in steels I: Case of ideal-plastic phases, International Journal of Plasticity, vol.5, issue.6, pp.551-572, 1989.
DOI : 10.1016/0749-6419(89)90001-6

J. B. Leblond-1984-]-leblond and J. Devaux, A new kinetic model for anisothermal metallurgical transformations in steels including effect of austenite grain size, pp.137-146, 1984.

T. Miokovic, J. Schwarzer, and V. Schulze, Description of short time phase transformations during the heating of steels based on hight-rate experimental data, J. Phys. IV, vol.120, pp.591-598, 2004.

A. Mulot-1979-]-mulot and J. P. Badeau, Influence de la structure initiale et de la composition chimique sur les caractéristiques des couches durcies obtenues par trempe superficielle, bombardement électronique et laser, pp.47-63, 1979.

W. I. Pumphrey and F. W. Jones, Inter-relation of hardenability and isothermal transformation data, JISI, vol.159, pp.137-144, 1948.

G. A. Roberts and R. F. Mehl, The mechanism and rate of formation of austenite from ferrite-cementite agregatesDemonstration of the formation of austenite in hypoeutectoid steels by means of TTT heating diagrams, Trans. of the ASM, vol.31, issue.15, pp.613-650, 1943.

A. S. Sastri-1965-]-sastri and D. R. West, Effect of austenitizing conditions on the kinetics of martensite formation in certain medium alloy steels, JISI, vol.203, pp.138-145, 1965.

N. Saunders, Z. Guo, and X. Li, The Calculation of TTT and CCt diagrams for General Steels, Internal Report Sente Software Ltd, 2004.

A. Simon-1994-]-simon, S. Denis, and E. Gautier, Effet des sollicitations thermomécaniques sur les transformations de phases dans l'état solide. Aspect métallurgique et mécanique, J. Phys. IV J. Phys. III, vol.4, pp.199-213, 1994.

G. R. Speich-1981-]-speich, V. A. Demarest, and R. L. Miller, Formation of Austenite During Intercritical Annealing of Dual-Phase Steels, Metallurgical Transactions A, vol.145, issue.2, pp.1419-1428, 1981.
DOI : 10.1007/BF02643686

W. Steven and A. G. Haynes, The temperature of formation of martensite and bainite in low-alloy steels. Some effects of chemical composition, JISI, vol.183, p.349, 1956.

L. Taleb, N. Cavallo, and F. Waeckel, Experimental analysis of transformation plasticity, International Journal of Plasticity, vol.17, issue.1, pp.1-20, 2001.
DOI : 10.1016/S0749-6419(99)00090-X

L. Taleb and J. Simkin, A micromechanical modeling of the Greenwood???Johnson mechanism in transformation induced plasticity, International Journal of Plasticity, vol.19, issue.10, pp.1821-1842, 2003.
DOI : 10.1016/S0749-6419(03)00020-2

N. Komatsubara and I. Tamura, Effect of austenite grain size on the hardenability of eutectoid steel, Tetsu-to-Hagané, vol.66, pp.400-409, 1980.

J. Videau-1994-]-videau, G. Cailletaud, and A. Pineau, Modélisation des effets mécaniques des transformations de phases pour le calcul de structures, J. Phys. IV supplément au J. Phys. III, vol.4, pp.227-232, 1994.

J. Wang-1999-]-wang, P. J. Van-der-wolk, and S. Van-der-zwaag, Effects of Carbon Concentration and Cooling Rate on Continuous Cooling Transformations Predicted by Artificial Neural Network., ISIJ International, vol.39, issue.10, pp.1038-1046, 1999.
DOI : 10.2355/isijinternational.39.1038

B. Des, CIARLET-1998] -Ciarlet P.G., Introduction à l'analuse numérique matricielle et à l'optimisation, p.279, 1998.