A novel approach for anisotropic hardening modeling. Part II: Anisotropic hardening in proportional and non-proportional loadings, application to initially isotropic material

International Journal of Plasticity

Volumn 26, Issue 7, 2010, Pages 1029-1049

  Rousselier, G ^a   Barlat, F ^b   Yoon, J W ^b  

^a PSL RESEARCH UNIVERSITY   (France)

^b ALCOA TECHNICAL CENTER   (United States)

Author keywords

Aluminum alloy; Anisotropic hardening; Finite element method; Polycrystalline model; Sheet forming

Indexed keywords

ADDITIONAL HARDENING; ANISOTROPIC HARDENING; COMPUTATION COSTS; COMPUTATION TIME; CPU TIME; CRYSTALLOGRAPHIC ORIENTATIONS; EXPERIMENTAL DATABASE; FE CALCULATIONS; ISOTROPIC BEHAVIORS; ISOTROPIC MATERIALS; LOADING DIRECTION; MACROSCOPIC MODEL; MODEL ACCURACY; MODEL EQUATIONS; NONPROPORTIONAL LOADING; NUMERICAL COSTS; PARAMETER CALIBRATION; PHYSICAL MECHANISM; POLYCRYSTALLINE MODELS; PROPORTIONAL LOADING; SHEET FORMING; SIMPLE SHEAR; SLIP SYSTEM; TEXTURE EVOLUTIONS; UNI-AXIAL LOADING; VON MISES; YIELD LOCI;

ALUMINUM; ALUMINUM ALLOYS; ALUMINUM METALLURGY; ANISOTROPY; CALIBRATION; COST REDUCTION; DATABASE SYSTEMS; DEEP DRAWING; DRAWING (FORMING); HARDENING; LOADING; MODELS; POLYCRYSTALLINE MATERIALS; TEXTURES;

FINITE ELEMENT METHOD;

EID: 77955171370     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2010.01.001     Document Type: Article

References (56)

1. F. Barlat, J.C. Brem, and J. Liu On crystallographic texture gradient and its mechanical consequence in rolled aluminum-lithium sheet Scripta Metall. Mater. 27 1992 1121 1126
2. F. Barlat, J.M. Ferreira Duarte, J.J. Gracio, A.B. Lopes, and E.F. Rauch Plastic flow for non-monotonic loading conditions of an aluminum alloy sheet sample Int. J. Plast. 19 2003 1215 1244
3. F. Barlat, J.C. Brem, J.W. Yoon, K. Chung, R.E. Dick, D.J. Lege, F. Pourboghrat, S.-H. Choi, and E. Chu Plane stress yield function for aluminum alloy sheets. Part I: theory Int. J. Plast. 19 2003 1297 1319
4. A. Benallal, and D. Marquis Constitutive equations for non-proportional cyclic elasto-viscoplasticity J. Eng. Mater. Technol. 109 1987 326 336
5. A. Benallal, P. Le Gallo, and D. Marquis An experimental investigation of cyclic hardening of 316 stainless steel and 2024 aluminium alloy under multiaxial loadings Nucl. Eng. Des. 114 1989 345 353
6. J. Bishop, and R. Hill A theory of the plastic distortion of a polycrystalline aggregate under combined stresses Philos. Mag. 42 1951 414 427
7. J. Bishop, and R. Hill A theoretical derivation of the plastic properties of a polycrystalline face-centered metal Philos. Mag. 42 1951 1298 1307
8. L. Bocher, P. Delobelle, P. Robinet, and X. Feaugas Mechanical and microstructural investigations of an austenitic stainless steel under non-proportional loadings in tension-torsion and external pressure Int. J. Plast. 17 2001 1491 1530
9. T. Böhlke, G. Risy, and A. Bertram Finite element simulation of metal forming operations with texture based material models Modell. Simul. Mater. Sci. Eng. 14 2006 365 387
10. Cailletaud, G., 1987. Une approche micromécanique phénoménologique du comportement inélastique des métaux. Ph.D. thesis, Paris University, Paris 6.
11. G. Cailletaud A micromechanical approach to inelastic behavior of metals Int. J. Plast. 8 1992 55 73
12. G. Cailletaud, H. Kaczmarek, and H. Policella Some elements on the multiaxial behavior of 316 L stainless steel at room temperature Mech. Mater. 3 1984 333 347
13. J.L. Chaboche A review of some plasticity and viscoplasticity constitutive theories Int. J. Plast. 24 2008 1642 1693
14. K. Chung, M.G. Lee, D. Kim, C. Kim, M.L. Wenner, and F. Barlat Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic yield functions. Part I: theory and formulation Int. J. Plast. 21 2005 861 882 (Pubitemid 40034578)
15. L. Delannay, M. Béringhier, Y. Chastel, and R.E. Logé Simulation of cup-drawing based on crystal plasticity applied to reduced grain samplings Mater. Sci. Forum 495-497 2005 1639 1644
16. P. Franciosi, M. Berveiller, and A. Zaoui Latent hardening in copper and aluminum single crystals Acta Metall. 28 1980 273 283
17. Gérard, C., 2008. Mesures de champs et identification de modles de plasticité cristalline. Ph.D. thesis, Paris University, Paris 13.
18. C. Gérard, B. Bacroix, M. Bornert, G. Cailletaud, J. Crépin, and S. Leclercq Hardening description for FCC materials under complex loading paths Comput. Mater. Sci. 45 2009 751 755
19. H. Haddadi, S. Bouvier, M. Banu, M. Maier, and C. Teodosiu Towards an accurate description of the anisotropic behaviour of sheet metals under large plastic deformations: modelling, numerical analysis and identification Int. J. Plast. 22 2006 2226 2271
20. T. Hoc, and S. Forest Polycrystal modeling of IF-Ti steel under complex loading path Int. J. Plast. 17 2001 65 85
21. B. Holmedal, P. Van Houtte, and Y. An A crystal plasticity model for strain-path changes in metals Int. J. Plast. 24 2008 1360 1379
22. W.F. Hosford A generalized isotropic yield criterion J. Appl. Mech. 39 1972 607 609
23. Z. Hu, E.F. Rauch, and C. Teodosiu Work-hardening behavior of mild steel under stress reversal at large strains Int. J. Plast. 8 1992 839 856
24. A.S. Khan, R. Kazmi, A. Pandey, and T. Stoughton Evolution of subsequent yield surfaces and elastic constants with finite plastic deformation. Part I: a very low work hardening aluminum alloy (Al6061-T 6511) Int. J. Plast. 25 2009 1611 1625
25. Khan, A.S., Pandey, A., Stoughton, T., 2009b. Evolution of subsequent yield surfaces and elastic constants with finite plastic deformation. Part II: a very high work hardening aluminum alloy (annealed 1100 Al). Int. J. Plast. doi:10.1016/j.ijplas.2009.07.008.
26. Khan, A.S., Pandey, A., Stoughton, T., 2009c. Evolution of subsequent yield surfaces and elastic constants with finite plastic deformation. Part III: yield surface in tension-tension stress space (Al6061-T 6511 & annealed 1100 Al). Int. J. Plast. doi:10.1016/j.ijplas.2009.07.007.
27. E. Kröner Zur plastischen Verformung des Vielkristalls Acta Metall. 9 1961 155 161
28. M. Kuroda, and V. Tvergaard Use of abrupt strain path change for determining subsequent yield surface: illustrations of basic idea Acta Mater. 47 1999 3879 3890
29. M. Kuroda, and V. Tvergaard A phenomenological plasticity model with non-normality effects representing observations in crystal plasticity J. Mech. Phys. Solids 49 2001 1239 1263
30. T. Kuwabara Advances in experiments on metal sheets and tubes in support of constitutive modeling and forming simulations Int. J. Plast. 23 2007 385 419
31. Ladévze, P., 1980. Sur la théorie de la plasticité en grandes déformations. Technical report, ENS Cachan, Novembre 1980.
32. M.G. Lee, D. Kim, C. Kim, M.L. Wenner, R.H. Wagoner, and K. Chung Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic yield functions. Part II: characterization of material properties Int. J. Plast. 21 2005 883 914 (Pubitemid 40034579)
33. M.G. Lee, D. Kim, C. Kim, M.L. Wenner, R.H. Wagoner, and K. Chung A practical two-surface plasticity model and its application to spring-back prediction Int. J. Plast. 23 2007 1189 1212
34. S. Li, E. Hoferlin, A. Van Bael, P. Van Houtte, and C. Teodosiu Finite element modeling of plastic anisotropy induced by texture and strain-path changes Int. J. Plast. 19 2003 647 674
35. A.B. Lopes, F. Barlat, J.J. Gracio, J.F. Ferreira Duarte, and E.F. Rauch Effect of texture and microstructure on strain hardening anisotropy for aluminum deformed in uniaxial tension and simple shear Int. J. Plast. 19 2003 1 22
36. B. Peeters, M. Seefeldt, C. Teodosiu, S.R. Kalidindi, P. Van Houtte, and E. Aernoudt Work-hardening softening behavior of B.C.C. polycrystals during changing strain paths: I. An integrated model based on substructure and texture evolution, and its prediction of the stress-strain behavior of an IF steel during two-stages strain paths Acta Mater. 49 2001 1607 1619
37. Pilvin, P., 1990. Approches multiéchelles pour la prévision du comportement anélastique des métaux. Ph.D. thesis, Paris University, Paris 6.
38. L. Portier, S. Calloch, D. Marquis, and P. Geyer Ratcheting under tension-torsion loadings: experiments and modeling Int. J. Plast. 16 2000 303 335
39. D. Raabe, and F. Roters Using texture components in crystal plasticity finite element simulations Int. J. Plast. 20 2004 339 361
40. E.F. Rauch, J.J. Gracio, F. Barlat, A.B. Lopes, and J. Ferreira Duarte Hardening behavior and structural evolution upon strain reversal of aluminum alloys Scripta Mater. 46 2002 881 886
41. E.F. Rauch, J.J. Gracio, and F. Barlat Work-hardening model for polycrystalline metals under strain reversal at large strains Acta Mater. 55 2007 2939 2948
42. G. Rousselier, and S. Leclercq A simplified "polycrystalline" model for viscoplastic and damage finite element analyses Int. J. Plast. 22 2006 685 712
43. G. Rousselier, and F. Barlat Modeling of plastic anisotropy with reduced polycrystalline models. Application to aluminum alloys Int. J. Mater. Form. 1 Suppl. 2008 269 272
44. G. Rousselier, F. Barlat, and J.W. Yoon A novel approach for anisotropic hardening modeling. Part I: theory and its application to finite element analysis of deep drawing Int. J. Plast. 25 2009 2383 2409 10.1016/j.ijplas.2009. 04.002
45. K. Sai, G. Cailletaud, and S. Forest Micro-mechanical modeling of the inelastic behavior of directionally solidified materials Mech. Mater. 38 2006 203 217
46. T.B. Stoughton, and J.W. Yoon Anisotropic hardening and non-associated flow in proportional loading of sheet metals Int. J. Plast. 25 2009 1777 1817
47. Teodosiu, C., 1992. In: Andersen, S.I. et al. (Eds.), Proceedings of the 13rd Risø International Symposium on Materials Science. Risø National Laboratory, Roskilde, Denmark, pp. 125-146.
48. C. Teodosiu, and Z. Hu Evolution of the intragranular microstructure at moderate and large strains: modelling and computational significance S.F. Shen, P.R. Dawson, Simulation of Materials Processing: Theory, Methods and Applications 1995 Balkema Rotterdam 173 182
49. P. Van Houtte, S. Li, M. Seefeldt, and L. Delannay Deformation texture predictions: from the Taylor model to the advanced Lamel model Int. J. Plast. 21 2005 589 624
50. J. Wang, V. Levkovitch, F. Reusch, B. Svendsen, J. Huétink, and M. van Riel On the modeling of hardening in metals during non-proportional loading Int. J. Plast. 24 2008 1039 1070
51. P.D. Wu, S.R. MacEwen, D.J. Lloyd, M. Jain, P. Tugcu, and K.W. Neale On pre-straining and the evolution of material anisotropy in sheet metals Int. J. Plast. 21 2005 723 739
52. J.W. Yoon, D.Y. Yang, K. Chung, and F. Barlat A general elasto-plastic finite element formulation based on incremental deformation theory for planar anisotropy and its application to sheet metal forming Int. J. Plast. 15 1999 35 68
53. J.W. Yoon, F. Barlat, K. Chung, F. Pourboghrat, and D.Y. Yang Earing prediction based on asymmetric nonquadratic yield function Int. J. Plast. 16 2000 1105 1129
54. J.W. Yoon, F. Barlat, J.J. Gracio, and E. Rauch Anisotropic strain hardening behavior in simple shear for cube textured aluminum alloy sheets Int. J. Plast. 21 2005 2426 2447
55. J.W. Yoon, F. Barlat, R.E. Dick, and M.E. Karabin Prediction of six or eight ears in a drawn cup based on a new anisotropic yield function Int. J. Plast. 22 2006 174 193
56. Z. Zhao, W. Mao, F. Roters, and D. Raabe A texture optimization study for minimum earing in aluminium by use of a texture component crystal plasticity finite element method Acta Mater. 52 2004 1003 1012