Modeling of deformation and rotation bands and of deformation induced grain boundaries in IF steel aggregate during large plane strain compression

International Journal of Plasticity

Volumn 20, Issue 10, 2004, Pages 1763-1788

  Erieau, Philippe ^a   Rey, Colette ^a  

^a ECOLE CENTRALE PARIS   (France)

Author keywords

Channel die deformation; Crystal plasticity; Grain splitting; Heterogeneities; Local texture

Indexed keywords

DEFORMATION; DISLOCATIONS (CRYSTALS); FINITE ELEMENT METHOD; GRAIN BOUNDARIES; PLASTICITY; STRAIN MEASUREMENT;

CHANNEL DIE DEFORMATION; CRYSTAL PLASTICITY; GRAIN SPLITTING; HETEROGENEITIES; LOCAL TEXTURE;

STEEL ANALYSIS;

EID: 2942585629     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2003.11.014     Document Type: Article

References (64)

1. Acharya, A., Beaudoin, A., 1999. Consideration of lattice incompatibility in the evolution of hardening. In: Szpumar, J. (Ed.), Proceedings of the Twelfth International Conference on Textures of Materials, Vol. 1, pp. 547-552.
2. Aernoudt E., van Houtte, P., Leffers, T. 1993. Deformation and textures of metals at large strain. In: Cahn, R., Haasen, P., Kramer, E. (Eds.), Material Science and Technology. A Comprehensive Treatment, Vol. 6, pp. 89-136.
3. Arizmendi, D., 1999. Simulation numérique par la méthode des éléments finis de la déformation plastique des cristaux de structure cubique centrée en utilisant un modèle basë sur les mécanismes physiques de la plasticité cristalline. application à des essais de traction d'agrégats polycristallins de fer alpha. PhD Thesis, Université Paris 13.
4. Arsenlis A., Parks D. Modeling the evolution of crystallographic dislocation density in crystal plasticity. J. Mech. Phys. Solids. 50:2002;1979-2009.
5. Asaro R., Needleman A. Texture development and strain hardening in rate dependent polycrystals. Acta Metall. 33(6):1985;923-953.
6. Barbe F., Decker L., Jeulin D., Cailletaud G. Intergranular an intragranular behavior of polycrystalline aggregates. part 1: F.E. model. International Journal of Plasticity. 17(4):2001;513-536.
7. Barbe F., Forest S., Cailletaud G. Intergranular an intragranular behavior of polycrystalline aggregates. part 2: Results. International Journal of Plasticity. 17(4):2001;537-563.
8. Barlat F., Ferreira Duarte J.F., Gracio J.J., Lopes A.B., Rauch E.F. Plastic flow for non monotonic loading conditions of an aluminium alloy sheet sample. International Journal of Plasticity. 19:2003;1215-1244.
9. Beaudoin A., Acharya A., Chen S., Korzekwa D., Stout M. Consideration of grain-size effect and kinetics in the plastic deformation of metal polycrystals. Acta Mater. 48:2000;3409-3423.
10. Beaudoin A., Dawson P., Mathur K., Kocks U. A hybrid finite element formulation for polycrystal plasticity with consideration of macrostructural and microstructural linking. International Journal of Plasticity. 11(5):1995;501-521.
11. Becker R. Analysis of texture evolution in channel die compression-I. Effects of grain interaction. Acta Metall. 39(6):1991;1211-1230.
12. Becker R., Panchanadeeswaran S. Effects of grain interactions on deformation and local texture in polycrystals. Acta Metall. Mater. 43(7):1995;2701-2719.
13. Berveiller M., Zaoui A. An extension to the self-consistent scheme to plastically-flowing polycrystals. J. Mech. Phys. Solids. 26:1979;325-344.
14. Bhattacharyya A., El-Danaf E., Kalidindi S., Doherty R. Evolution of grain scale microstructure during large strain simple compression of polycrystalline aluminium with quasi-columnar grains. OIM measurements and numerical simulations International Journal of Plasticity. 17:2001;861-883.
15. Bunge H. Texture Analysis in Materials Science. 1982;Butterworths, London.
16. Busso E., Meissonnier F., O'Dowd N. Gradient-dependent deformation of two-phase single crystals. J. Mech. Phys. Sol. 48:2000;2333-2361.
17. Clayton J.D., Mc Dowwell D.L. A multiplicative decomposition for elastoplasticity of polycrystals. International Journal of Plasticity. 19:2003;1401-1444.
18. Darrieulat M., Montheillet F. A texture based continuum approach for predicting the plastic behaviour of roled sheet. International Journal of Plasticity. 19:2003;517-546.
19. Dawson P., Beaudoin A., Mathur K., Sarma G. Finite element modeling of polycrystalline solids. Revue europeenne des éléments finis. 3(4):1994;543-571.
20. Delaire F., Raphanel J., Rey C. Plastic heterogeneities of a copper multicrystal deformed in uniaxial tension. experimental study and finite element simulations Acta Mater. 48:2000;1075-1087.
21. Delannay L., Mishin O., Juul Jensen D., van Houtte P. Quantitative analysis of grain subdivision in cold rolled aluminium. Acta Mater. 49:2001;2441-2451.
22. Doumalin, P., 2000. Microextensométrie locale par corrélation d'images appliquée aux études micromécaniques en utilisant le microscope électronique à balayage. PhD Thesis, École Polytechnique.
23. Duggan, B., Liu, G., 1999. The formation of the fibre textures in b.c.c. metals by deformation banding. In Proceeding of the Twelfth International Conference on Textures of Materials, Vol. 1, pp. 706-711.
24. Erieau, P., Hoc, T., Biausser, H., Rey, C., 2000. Modelling heterogeneities and computation of stored energy distribution in an IF-Ti steel. In: Hansen, N., Huang, X., Juul Jensen, D., Lauridsen, E., Leffers, T., Pantleon, W., Sabin, T., Wert, J. (Eds.), Proceeding of the 21st Risoø International Symposium on Materials Science: Recrystallization-Fundamenta Aspects and Relations to Deformation Microstructures, pp. 339-344.
25. Erieau, P., Hoc, T., Rey, C., 2001. Modeling of the heterogeneous deformation of an aggregate of grains. In: Materials Research Society Symp. Proc, Vol. 653, pp. Z7.11.1-Z7.11.6.
26. Erieau, P., Rey, C., 2002. Finite element simulation and experimental validation of the local texture of an IF steel aggregate submitted to channel die compression. In: Cescotto, S. (Ed.), Proceedings of the Sixth European Mechanics of Material Conference (EMMC6) - Non Linear Mechanics of Anisotropic Materials, University of Liège, Belgium, pp. 289-296.
27. Essman U., Mugrhabi H. Annihilation of dislocations during tensile and cyclic deformation and limits of dislocation densities. Phil. Mag. A. 40(6):1979;731-756.
28. Franciosi P. The concepts of latent hardening and strain hardening in metallic single crystals. Acta Metall. 33(9):1985;1601-1612.
29. Hansen N. Cold deformation microstructures. Materials Science and Technology. 6:1990;1039-1047.
30. Harren S., Asaro R. Nonuniform deformations in polycrystals and aspects of the validity of the Taylor model. J. Mech. Phys. Solids. 37(2):1989;191-232.
31. Harren S., Déve H., Asaro R. Shear band formation in plane strain compression. Acta Metall. 36(9):1988;2435-2480.
32. Hoc, T., 1999. Études expérimentale et numérique de la localisation lors de changements de trajets dans un acier doux. PhD Thesis, École Centrale Paris.
33. Hoc T., Rey C., Raphanel J. Experimental and numerical analysis of localization during sequential test for an IF-TI steel. Acta Mater. 48:2000;4893-4900.
34. Hoc T., Rey C., Viaris de Lesengo P. Mesostructure of the localization in prestrained mild steel. Scripta Mater. 42:2000;749-754.
35. Humphreys, F., Hatherly, M., 1996. Recrystallization and Related Annealing Phenomena. Pergamon Press.
36. Inokuti Y., Doherty R. Transmission kossel study of the structure of compressed iron and its recrystallization behaviour. Acta Metall. 26:1978;61-80.
37. Jago R., Hansen N. Grain size effects in the deformation of polycrystalline iron. Acta Metall. 34(9):1986;1711-1720.
38. Kim H., Oh S. Finite element analysis of grain by grain deformation by crystal plasticity with couple stress. International Journal of Plasticity. 19:2003;1245-1270.
39. Kocks U. Laws for work-hardening and low-temperature creep. Journal of Engineering Materials Technology. 1976;76-85.
40. Kuhlmann-Wilsdorf D. "regular" deformation bands (DBs) and the LEDS hypothesis. Acta Mater. 47(6):1999;1697-1712.
41. Lee C., Duggan B. Deformation banding and copper-type rolling textures. Acta Metall. Mater. 41(9):1993;2691-2699.
42. Li S., Hopherlin E., van Bael A., van Houtte P., Teodosiu C. Finite element modeling of plastic anisotropy induced by texture and strain-path change. International Journal of Plasticity. 19:2003;647-674.
43. Lineau C., Rey C., Viaris de Lesengo P. Experimental analysis of plastic deformation of steel grains. comparison with polycrystal model predictions. Materials Science and Engineering. A234:1997;853-856.
44. Lopes A., Barlat F., Gracio J., Ferreira Duarte J., Rauch E. Effect of texture and microstructure on strain hardening anisotropy for aluminium deformed in uniaxial tension and simple shear. International Journal of Plasticity. 19:2003;1-22.
45. Mecking H., Kocks U. Kinetics of flow and strain hardening. Acta Metall. 29:1981;1865-1875.
46. Mika D., Dawson P. Polycrystal plasticity modeling of intracrystalline boundary textures. Acta Mater. 47:1999;1355-1369.
47. Peirce D., Asaro R., Needleman A. Material rate dependance and localized deformation in crystalline solids. Acta Metall. 31:1983;1951-1976.
48. Pilvin, P., 1988. Identification des paramétres de modèles de comportement. In International Seminar on Mécamat "the Inelastic Behaviour of solids". Besan ç on, p. 155.
49. Prinz F., Argon A. The evolution of plastic flow resistance in large strain flow of single phase subgrain forming metals. Acta Metall. 32(7):1984;1021-1028.
50. Randle V., Hansen N., Juul Jensen D. The deformation behaviour of grain boundary regions in polycrystalline aluminium. Phil. Mag. A. 73:1996;265-282.
51. Rey C., Zaoui A. Slip heterogeneities in deformed aluminium bicrystals. Acta Metall. 28:1980;687-697.
52. Sachs G. Zur ableitung einer fliesbedingung. Zeischrift des Vereines deutscher Ingenieure. 72(22):1928;734-736.
53. Sarma G., Dawson P. Effects of interactions among crystals on the inhomogeneous deformations of polycrystals. Acta Mater. 44(5):1996;1937-1953.
54. Sarma G., Dawson P. Texture predictions using a polycrystal plasticity model incorporating neighbor interactions. International Journal of Plasticity. 1996;1023-1053.
55. Sarma G., Radhakrishnan B., Zacharia T. Finite element simulations of cold deformation at the mesoscale. Computational Materials Science. 12:1998;105-123.
56. Smelser, R., Becker, R., 1989. In: ABAQUS User Subroutines for Material Modeling.
57. Tabourot, L., 1992. Loi de comportement élastoviscoplastique du monocristal en grandes déformations. PhD Thesis, Institut National Polytechnique de Grenoble.
58. Tabourot L., Fivel M., Rauch E. Generalised constitutive laws for F.C.C. single crystals. Materials Science and Engineering. A234-236:1997;639-642.
59. Taylor G. Plastic strain in metals. J. Inst. Metals. 62:1938;307.
60. Teodosiu, C., Raphanel, J., Tabourot, L., 1993. Finite implementation of the large elastoplastic deformation of multicrystals. In: Teodosiu, C., Raphanel, J., Sidoroff, F. (Eds.), Large Plastic Deformation, Proc. Int. Seminar MECAMAT'91, pp. 153-168.
61. Teodosiu C., Sidoroff F. A theory of finite elastoviscoplasticity of single crystals. Int. J. Engng. Sci. 14:1976;165-176.
62. Gil Sevillano, J., van Houtte, P. and Aernoudt, E. Large Strain Work Hardening and Textures. Vol. 25 of Progress in Materials Science. Pergamon Press, 1981.
63. von Schlippenbach U., Emren F., Lücke K. Investigation of the development of the cold rolled texture in deep drawing steels by odf-analysis. Acta Metall. 34(7):1986;1289-1301.
64. Wang W., Huang Y., Hsia K., Hu K., Chandra A. A study of microbend test by strain gradient plasticity. International Journal of Plasticity. 19:2003;365-382.