Numerical modelling of the plasticity induced during diffusive transformation. Case of a cubic array of nuclei

European Journal of Mechanics, A/Solids

Volumn 26, Issue 4, 2007, Pages 611-625

  Barbe, Fabrice ^a   Quey, Romain ^a   Taleb, Lakhdar ^a  

^a National Institute of Applied Sciences of Rouen   (France)

Author keywords

Diffusive transformation; Finite elements; Micromechanical modelling; Transformation induced plasticity

Indexed keywords

BAINITIC TRANSFORMATIONS; ELASTOPLASTICITY; FINITE ELEMENT METHOD; IRON ALLOYS; MICROMECHANICS;

DIFFUSIVE TRANSFORMATION; MICROMECHANICAL MODELING; TRANSFORMATION INDUCED PLASTICITY; TRANSFORMATION INDUCED PLASTICITY (TRIP);

PLASTICITY;

EID: 34247344124     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2006.09.005     Document Type: Article

References (38)

1. Barbe F., Decker L., Jeulin D., and Cailletaud G. Intergranular and intragranular behavior of polycrystalline aggregates. Part 1: F.E. model. Int. J. Plasticity 17 (2001) 513-536
2. Barbe F., Forest S., and Cailletaud G. Polycrystalline plasticity under small strains. Toward finer descriptions of microstructures. In: Bouchaud E., et al. (Ed). NATO Proceedings, Physical Aspects of Fracture (2001), Kluwer Academic Publishers 191-206
3. Barbe, F., Quey, R., Taleb, L., 2003. Numerical determination of diffusional transformation induced plasticity from computations of random microstructures. In: 21st International Congress of Theoretical and Applied Mechanics (ICTAM04), Warsaw, Poland, August 2004
4. Barbe, F., Quey, R., Taleb, L., Souza de Cursi, E., 2005. Numerical determination of the effective TRIP during diffusive transformation in a volume with randomly positioned nuclei. In: 1st Int. Conf. Distortion Engineering, Bremen, Germany, September 2005
5. Barbe, F., Quey, R., Taleb, L., Souza de Cursi, E., 2006. Numerical modelling of the plasticity induced during diffusive transformation. Case of a random instantaneous array of nuclei, in preparation
6. Besson J., Leriche R., Foerch R., and Cailletaud G. Object-oriented programming applied to the finite element method. Part II. Application to material behaviors. Revue Européenne des Éléments Finis 7 5 (1998) 567-588
7. Bhadeshia H.K.D.H. Bainite in Steels: Transformations, Microstructure and Properties (2001), Institute of Materials Communications, London
8. Coret M., Calloch S., and Combescure A. Experimental study of the phase transformation plasticity of 16MND5 low carbon steel under multiaxial loading. Int. J. Plasticity 18 (2002) 1707-1727
9. Coret M., Calloch S., and Combescure A. 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
10. Davenport S.B., Hanlon D.N., and van der Zwaag S. On the effect of fully reversed deformation on the austenite to ferrite phase transformation in C-Mn steel. Scripta Mater. 46 (2002) 413-417
11. Diani J.M., Sabar H., and Berveiller M. Micromechanical modelling of the transformation induced plasticity (TRIP) phenomenon in steels. Int. J. Engrg. Sci. 33 13 (1995) 1921-1934
12. Fischer F.D. A micromechanical model for transformation plasticity in steels. Acta Metall. Mater. 38 (1990) 1536-1546
13. Fischer F.D., Reisner G., Werner E., Tanaka K., Cailletaud G., and Antretter T. A new view on transformation induced plasticity (TRIP). Int. J. Plasticity 16 (2000) 723-748
14. Ganghoffer J.F., Denis S., Gautier E., Simon A., and Sjöström S. Finite element calculation of the micromechanics of a diffusional transformation. Eur. J. Mech. A Solids 12 1 (1993) 21-32
15. Ganghoffer J.F., and Simonsson K. A micromechanical model of the martensitic transformation. Mech. Mater. 27 (1998) 125-144
16. Garrett R.P., Xu S., Lin J., and Dean T.A. A model for predicting austenite to bainite phase transformation in producing dual phase steels. Int. J. Machine Tools Manufacture 44 7-8 (2004) 831-837
17. Gautier E., and Simon A. Transformation plasticity mechanisms for martensitic transformation of ferrous alloys. In: Lorimer G.W. (Ed). Phase Transformations '87 (1987), The Institute of Metals, London 285-287
18. Gornostyrev Y.N., Urtsev V.N., Zalalutdinov M.K., Entel P., Kaptsan A.V., and Kuznetsov A.R. Reconstruction of grain boundaries during austenite-ferrite transformation. Scripta Mater. 53 2 (2005) 153-158
19. Greenwood G.W., and Johnson R.H. The deformation of metals under small stresses during phase transformation. Proc. R. Soc. London A 283 (1965) 403
20. Grostabussiat S., Taleb L., and Jullien J.F. Experimental results on classical plasticity of steels subjected to structural transformations. Int. J. Plasticity 20 8-9 (2004) 1371-1386
21. Huet C. Application of variational concepts to size effects in elastic heterogeneous bodies. J. Mech. Phys. Sol. 38 (1990) 813-841
22. Iwamoto T. Multiscale computational simulation of deformation behavior of TRIP steel with growth of martensite particles in unit cell by asymptotic homogenization method. Int. J. Plasticity 20 (2004) 841-869
23. Kang J.H., Suh D.W., Cho J.Y., Oh K.H., and Lee H.C. Effect of external stress on the orientation distribution of ferrite. Scripta Mater. 48 (2003) 91-95
24. Kanit T., Forest S., Galliet I., Mounoury V., and Jeulin D. Determination of the size of the representative volume element for random composites: statistical and numerical approach. Int. J. Solids Struct. 40 (2003) 3647-3679
25. Leblond J.B. Mathematical modelling of transformation plasticity in steels. II: coupling with strain hardening phenomena. Int. J. Plasticity 5 (1989) 573-591
26. Leblond J.B., Mottet G., and Devaux J.C. A theoretical and numerical approach to the plastic behavior of steels during phase transformations. II: study of classical plasticity for ideal-plastic phases. J. Mech. Phys. Sol. 34 4 (1986) 411-432
27. Magee, C.L., 1966. Transformation kinetics, microplasticity and ageing of martensite in Fe-3l-Ni. PhD thesis, Carnegie Institute of Technology, Pittsburgh University, PA
28. Meftah, S., Barbe, F., Taleb, L., 2003. Numerical analysis of the interaction classical plasticity - TRIP. In: 21st International Congress of Theoretical and Applied Mechanics (ICTAM04), Warsaw, Poland, August 2004
29. Meftah, S., Barbe, F., Taleb, L., Sidoroff, F., 2006. Parametric numerical simulations of TRIP and its interaction with classical plasticity in martensitic transformation. Eur. J. Mech. A Solids, in press
30. Nygards M. Number of grains necessary to homogenize elastic materials with cubic symmetry. Mech. Mater. 35 (2003) 1049-1057
31. Offerman S.E., van Wilderen L.J.G.W., van Dijk N.H., Sietsma J., Rekveldt M.T., and van der Zwaag S. In-situ study of pearlite nucleation and growth during isothermal austenite decomposition in nearly eutectoid steel. Acta Mater. 51 (2003) 3927-3938
32. Schuh C., and Dunand D.C. Non-isothermal transformation-mismatch plasticity: modeling and experiments on Ti-6Al-4V. Acta Mater. 49 (2001) 199-210
33. Taleb L., Cavallo N., and Waeckel F. Experimental analysis of transformation plasticity. Int. J. Plasticity 17 1 (2001) 1-20
34. Taleb L., and Petit S. New investigations on transformation induced plasticity and its interaction with classical plasticity. Int. J. Plasticity 22 1 (2006) 110-130
35. Taleb L., and Petit-Grostabussiat S. Elastoplasticity and phase transformations in ferrous alloys: some discrepancies between experiments and modeling. J. Phys. IV 12 11 (2002) 187-194
36. Taleb L., and Sidoroff F. A micromechanical modeling of Greenwood-Johnson mechanism in transformation induced plasticity. Int. J. Plasticity 19 10 (2003) 1821-1842
37. van Wilderen L.J.G.W., Offerman S.E., van Dijk N.H., Rekveldt M.T., Sietsma J., and van der Zwaag S. Neutron depolarization study of the austenite/pearlite phase transformation in steel. Appl. Phys. A 74 Suppl. (2002) S1052-S1054
38. Wolff, M., Böhm, M., Dalgic, M., Löwisch, G., Rath, J., 2006. Validation of a TRIP model with backstress for the pearlitic transformation of the steel 100Cr6 under step-wise loads. Comput. Mat. Sci., in press