Theoretical and numerical modeling of the thermomechanical and metallurgical behavior of steel

International Journal of Plasticity

Volumn 27, Issue 3, 2011, Pages 414-439

  Moumni, Ziad ^a   Roger, Frédéric ^a   Trinh, Ngoc Thuy ^a  

^a ENSTA PARISTECH   (France)

Author keywords

Phase transformation; Plasticity; TRIP; Viscoplasticity; Welding

Indexed keywords

APPLIED STRESS; ELASTO-PLASTIC; EXPERIMENTAL DATA; FATIGUE LIFE PREDICTION; HEAT GRADIENT; HIGH TEMPERATURE PHASE; INELASTIC DEFORMATION; LOW TEMPERATURE PHASIS; MACROSCOPIC BEHAVIORS; METALLURGICAL BEHAVIOR; MULTI-PHYSICS; NUMERICAL CODE; NUMERICAL MODELING; NUMERICAL SIMULATION; PHASE TRANSFORMATION; RESIDUAL DISPLACEMENT; RESIDUAL STRAINS; STRESS FIELD; THERMAL CYCLE; THERMO-MECHANICAL; THERMO-MECHANICAL BEHAVIORS; TRANSFORMATION INDUCED PLASTICITY; TRIP; VISCOPLASTIC;

DEFORMATION; ELASTOPLASTICITY; FATIGUE OF MATERIALS; HEAT TREATMENT; INTERMETALLICS; PLASTICITY; VISCOPLASTICITY; VISCOSITY; WELDING;

STEEL METALLURGY;

EID: 79951551522     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2010.07.002     Document Type: Article

References (49)

1. H. Alberg, and D. Berglund Comparison of plastic, viscoplastic, and creep models when modelling welding and stress relief heat treatment Comput. Methods Appl. Mech. Eng. 192 2003 5189 5208 (Pubitemid 37436239)
2. M. Avrami Kinetics of phase change: general theory J. Chem. Phys. 7 1939 1103 1112
3. Cavallo, N., 1998. Contribution la validation expérimentale de modles décrivant la ZAT lors d'une opération de soudage. PhD Thesis, INSA Lyon.
4. M. Coret, and A. Combescure A mesomodel for the numerical simulation of the multiphasic behavior of materials under anisothermal loading (application to two low-carbon steels) Int. J. Mech. Sci. 44 2002 1947 1963 (Pubitemid 35214391)
5. M. Coret, S. Calloch, and A. Combescure Experimental study of the phase transformation plasticity of 16mnd5 low carbon steel under multiaxial loading Int. J. Plasticity 18 2002 1707 1727 (Pubitemid 35214004)
6. M. Coret, S. Calloch, and A. Combescure Experimental study of the phase transformation plasticity of 16mnd5 low-carbon steel induced by proportional and nonproportional biaxial loading paths Eur. J. Mech. A - Solids 23 2004 823 842 (Pubitemid 40141814)
7. Costantini, M., 1996. Simulation numérique du soudage par faisceau d'électrons. Contribution au développement d'un modle prédictif de l'apport d'énergie. PhD Thesis, Université Paris VI.
8. S. Denis, E. Gautier, A. Simon, and G. Beck Stress phase transformations interaction, basics principle, modelling, and calculation of internal stresses Mater. Sci. Technol. 1 1985 805 814
9. S. Denis, E. Gautier, S. Sjöström, and A. Simon Influence of stresses on the kinetics of pearlitic transformation during continuous cooling Acta Metall. 35 1987 1621 1632 (Pubitemid 17618685)
10. F.D. Fischer A micromechanical model for transformation plasticity in steels Acta Metall. Mater. 38 1990 1535 1546
11. F.D. Fischer, Q.P. Sun, and K. Tanaka Transformation induced plasticity (TRIP) Appl. Mech. Rev. 49 1996 317 364
12. Gautier, E., Simon, A., Beck, G., 1985. Etude du comportement mécanique associé la transformation martensitique d'alliages de type FE-NI-C sollicités en fluage ou en traction. In: Mc Queen (Ed.), Seventh International Conference on Strength of Metal and Alloys (ICSMA 7), p. 569.
13. Giusti, J., 1981. Contraintes et déformations résiduelles d'origine thermique. Application au soudage et la trempe des aciers. PhD Thesis, Université Paris VI.
14. G.W. Greenwood, and R.H. Johnson The deformation of metals under small stresses during phase transformation Proc. R. Soc. Lond. A 283 1965 403 422
15. B. Halphen, and Q.S. Nguyen Plastic and visco-plastic materials with generalized potential Mech. Res. Commun. 1 1974 43 47
16. T. Inoue, and Z. Wang Coupling between stress, temperature and metallic structures during processes involving phases transformations Mater. Sci. Technol. 1 1985 845 850 (Pubitemid 16525473)
17. W.A. Johnson, and R.F. Mehl Reaction kinetics in processes of nucleation and growth Trans. AIME 135 1939 416 458
18. L. Karlsson, and L.E. Lindgren Combined heat and stress-strain calculations M. Rappaz, M. Ozgu, K. Mahin, Modeling of Casting, Welding and Advanced Solidification Processes V 1991 TMS Publication Warrendale, PA 187 202
19. D.P. Koistinen, and R.E. Marburger A general equation prescribing extent of austenite-martensite transformation in pure FE-C alloys and plain carbon steels Acta Metall. 7 1959 59 60
20. J.-B. Leblond Mathematical modelling of transformation plasticity in steels. II: Coupling with strain hardening phenomena Int. J. Plasticity 5 1989 573 591
21. J.-B. Leblond, and J. Devaux A new kinetic model for anisothermal metallurgical transformations in steels including effect of austenite grain size Acta Metall. 32 1984 137 146 (Pubitemid 14509226)
22. J.-B. Leblond, G. Mottet, and J.-C. Devaux A theoretical and numerical approach to the plastic behaviour of steels during phase transformations - I. Derivation of general relations J. Mech. Phys. Solids 34 1986 395 409 (Pubitemid 16636489)
23. J.-B. Leblond, J. Devaux, and J.-C. Devaux Mathematical modelling of transformation plasticity in steels. I: Case of ideal-plastic phases Int. J. Plasticity 5 1989 551 572 (Pubitemid 20635083)
24. J. Lemaitre, and J.-L. Chaboche Mécanique des matériaux solides second ed. 1996 Dunod Paris
25. V.I. Levitas Structural changes without stable intermediate state in inelastic material. Part I. General thermomechanical and kinetic approaches Int. J. Plasticity 16 2000 805 849
26. V.I. Levitas Structural changes without stable intermediate state in inelastic material. Part II. Applications to displacive and diffusional- displacive phase transformations, strain induced chemical reactions and ductile fracture Int. J. Plasticity 16 2000 851 892
27. V.I. Levitas, and I.B. Ozsoy Micromechanical modeling of stress-induced phase transformations. Part 1. Thermodynamics and kinetics of coupled interface propagation and reorientation Int. J. Plasticity 25 2009 239 280
28. V.I. Levitas, and I.B. Ozsoy Micromechanical modeling of stress-induced phase transformations. Part 2. Computational algorithms and examples Int. J. Plasticity 25 2009 546 583
29. S.H. Li, W.J. Dan, W.G. Zhang, and Z.Q. Lindgren A model for strain-induced martensitic transformation of TRIP steel with pre-strain Comput. Mater. Sci. 40 2007 292 299 (Pubitemid 47058263)
30. Magee, C.L., 1966. Transformation kinetics, microplasticity and aging of martensite in FE31Ni. PhD Thesis, Carnegie Institute of Technology, Pittsburgh, PA.
31. R. Mahnken, A. Schneidt, and T. Anteretter Macro modelling and homogenization for transformation induced plasticity of low-alloy steel Int. J. Plasticity 25 2009 183 204
32. Martinez, M., 1999. Jonction 16MND5-INCONEL 690-316LN par soudage diffusion. Elaboration et calculs des contraintes résiduelles de procédé. PhD Thesis, Ecole Nationale Supérieure des Mines de Paris.
33. Moumni, Z., 1995. Sur la modélisation du changement de phase l'état solide. PhD Thesis, Ecole Nationale Supérieure des Ponts et Chaussées, Paris.
34. Z. Moumni, and Q.S. Nguyen A model of material with phase change and applications J. Phys. IV 6 1996 335 345
35. Z. Moumni, W. Zaki, and Q.S. Nguyen Theoretical and numerical modeling of solid-solid phase change: application to the description of the thermomechanical behavior of shape memory alloys Int. J. Plasticity 24 2008 614 645
36. Q.S. Nguyen Stability and Nonlinear Solid Mechanics 2000 John Wiley and Sons Ltd.
37. Q.S. Nguyen, and Z. Moumni Sur une modélisation du changement de phases solides C.R. Acad. Sci. 321 1995 87 92
38. Petit-Grostabussiat, S., 2000. Conséquences mécaniques des transformations structurales dans les alliages ferreux. PhD Thesis, INSA Lyon.
39. R.T. Rockaffellar Convex Analysis 1972 Princeton University Press Princeton, New Jersey
40. J. Ronda, Y. Estrin, and G.J. Oliver Modelling of welding. A comparison of a thermo-mechano-metallurgical constitutive model with a thermo-viscoplastic material model. J. Mater. Process. Technol. 60 1996 629 636 (Pubitemid 126383347)
41. L. Taleb, and S. Petit New investigations on transformation induced plasticity and its interaction with classical plasticity Int. J. Plasticity 22 2006 110 130 (Pubitemid 41222275)
42. L. Taleb, and F. Sidoroff A micromechanical modeling of the Greenwood-Johnson mechanism in transformation induced plasticity Int. J. Plasticity 19 2003 1821 1842
43. L. Taleb, N. Cavallo, and F. Waeckel Experimental analysis of transformation plasticity Int. J. Plasticity 17 2001 1 20 (Pubitemid 32035000)
44. L. Taleb, S. Petit, and J.-F. Jullien Prediction of residual stresses in the heat affected zone J. Phys. IV 120 2004 705 712
45. Trinh, N.T., 2008. Sur la modélisation du comportement thermomécanique et métallurgique des aciers. Application au procédé de soudage et de traitements thermiques. PhD Thesis, Ecole Polytechnique, Paris.
46. Y. Vincent, J.-M. Bergheau, and J.-B. Leblond Viscoplastic behaviour of steels during phase transformations C.R. Acad. Sci. 331 2003 587 594 (Pubitemid 37500289)
47. Waeckel, F., 1994. Une loi de comportement thermo-métallurgique des aciers pour le calcul mécanique des structures. PhD Thesis, ENSAM de Paris.
48. M. Wolff, and L. Taleb Consistency for two multi-mechanism models in isothermal plasticity Int. J. Plasticity 24 2008 2059 2083
49. M. Wolff, M. Böhm, and D. Helm Material behavior of steel - modeling of complex phenomena and thermodynamic consistency Int. J. Plasticity 24 2008 746 774 (Pubitemid 351226483)