Phenomenological modeling of anisotropy induced by evolution of the dislocation structure on the macroscopic and microscopic scale
Source abstract
Abstract
This work focuses on the modeling of the evolution of anisotropy induced by the development of the dislocation microstructure. A model formulated at the engineering scale in the context of classical metal plasticity and a model formulated in the context of crystal plasticity are presented. Images obtained by transmission-electron microscopy (TEM) show the influence of the strain path on the evolution of anisotropy for the case of two common materials used in sheet metal forming, DC06 and AA6016-T4. Both models are capable of accounting for the transient behavior observed after changes in loading path for fcc and bcc metals. The evolution of the internal variables of the models is correlated with the evolution of the dislocation structure observed by TEM investigations.
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Research context
OpenAlex topics: Metal Forming Simulation Techniques · Microstructure and mechanical properties · Metallurgy and Material Forming
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (38)
Show source-provided references
1. Balasubramanian S, Anand L (2002) Elasto-viscoplastic constitutive equations for polycrystalline fcc materials at low homologous temperatures. J Mech Phys Solids 50(1):101–12610.1016/S0022-5096(01)00022-9 ↗
2. Baltov A, Sawczuk A (1965) A rule of anisotropic hardening. Acta Mech I(2):81–9210.1007/BF01174305 ↗
3. Bouvier S, Teodosiu C, Haddadi H, Tabacaru V (2003) Anisotropic work-hardening behaviour of structural steels and aluminium alloys at large strains. J Phys IV France 105:215–22210.1051/jp4:20030190 ↗
4. Bouvier S, Alves J, Oliveira M, Menezes L (2005) Modelling of anisotropic work-hardening behaviour of metallic materials subjected to strain-path changes. Comput Mater Sci 32:301–31510.1016/j.commatsci.2004.09.038 ↗
5. de Montleau P (2004) Programming of Teodosiu’s hardening model. IAP P5/08 progress report, Mechanical Engineering, University of Liege, Belgium
6. Estrin Y, Tóth LS, Molinari A, Bréchet Y (1998) A dislocation-based model for all hardening stages in large strain deformation. Acta Mater 46(15):5509–552210.1016/S1359-6454(98)00196-7 ↗
7. Fernandes JV, Schmitt JH (1983) Dislocation microstructures in steel during deep drawing. Philos Mag A 48(6):841–87010.1080/01418618308244323 ↗
8. Ghosh AK, Backofen WA (1973) Strain-hardening and instability in biaxially stretched sheets. Metall Trans 4:1113–112310.1007/BF02645615 ↗
9. Gurtin M, Fried E, Anand, L (2010) The mechanics and thermodynamics of continua. Cambridge University Press, Cambridge10.1017/CBO9780511762956 ↗
10. Hasegawa T, Yakou T, Karashima S (1975) Deformation behaviour and dislocation structures upon stress reversal in polycrystalline aluminium. Mater Sci Eng 20:267–27610.1016/0025-5416(75)90159-7 ↗
11. Hiwatashi S, van Bael A, van Houtte P, Teodosiu C (1997) Modelling of plastic anisotropy based on texture and dislocation structure. Comput Mater Sci 9:274–28410.1016/S0927-0256(97)00069-4 ↗
12. Holmedal B, van Houtte P, An Y (2008) A crystal plasticity model for strain-path changes in metals. Int J Plast 24(8):1360–137910.1016/j.ijplas.2007.09.007 ↗
13. Hu Z, Rauch EF, Teodosiu C (1992) Work-hardening behavior of mild steel under stress reversal at large strains. Int J Plast 8(7):839–85610.1016/0749-6419(92)90006-X ↗
14. Kalidindi SR, Bronkhorst CA, Anand L (1992) Crystallographic texture evolution in bulk deformation processing of fcc metals. J Mech Phys Solids 40(3):537–56910.1016/0022-5096(92)80003-9 ↗
15. Li S, Hoferlin E, van Bael A, van Houtte P, Teodosiu C (2003) Finite element modeling of plastic anisotropy induced by texture and strain-path change. Int J Plast 19:647–67410.1016/S0749-6419(01)00079-1 ↗
16. Mandel J, Généralization de la théorie de plasticité de W. T. Koiter. Int J Solid Struct 1:273-2910.1016/0020-7683(65)90034-X ↗
17. Marin EB, Dawson PR (1998) Elastoplastic finite element analyses of metal deformations using polycrystal constitutive models. Comput Methods Appl Mech Eng 165(1–4):23–4110.1016/S0045-7825(98)00033-4 ↗
18. Marin EB, Dawson PR (1998) On modelling the elasto-viscoplastic response of metals using polycrystal plasticity. Comput Methods Appl Mech Eng 165(1–4):1–2110.1016/S0045-7825(98)00034-6 ↗
19. Mughrabi H (1983) Dislocation wall and cell structures and long-range internal stresses in deformed metal crystals. Acta Metall 31(9):1367–137910.1016/0001-6160(83)90007-X ↗
20. Deutsches Institut für Normung e.V. (2006) DIN EN 10049—measurement of roughness average Ra and peak count RPc on metallic flat products. Tech. rep., DIN
21. Deutsches Institut für Normung e.V. (2006) DIN EN 10130—cold rolled low carbon steel flat products for cold forming technical delivery conditions. Tech. rep., DIN
22. Deutsches Institut für Normung e.V. (2009) DIN EN 573-3 aluminium and aluminium alloys—chemical composition and form of wrought products. Tech. rep., DIN
23. Deutsches Institut für Normung e.V. (2009) DIN EN ISO 6892-1 metallic materials—tensile testing—part 1: method of test at room temperature. Tech. rep., DIN
24. Nesterova EV, Bacroix B, Teodosiu C (2001) Experimental observation of microstructure evolution under strain-path changes in low-carbon if steel. Mater Sci Eng A 309–310:495–49910.1016/S0921-5093(00)01639-7 ↗
25. Nesterova EV, Bacroix B, Teodosiu C (2001) Microstructure and texture evolution under strain-path changes in low-carbon interstitial-free steel. Metall Mater Trans 32A:2527–253810.1007/s11661-001-0042-9 ↗
26. Noman M, Clausmeyer T, Barthel C, Svendsen B, Huétink J, van Riel M (2010) Experimental characterization and modeling of the hardening behavior of the sheet steel LH800. Mater Sci Eng A 527(10–11):2515–252610.1016/j.msea.2009.12.013 ↗
27. Peeters B, Kalidindi SR, Teodosiu C, van Houtte P, Aernoudt E (2002) A theoretical investigation of the influence of dislocation sheets on evolution of yield surfaces in single-phase b.c.c. polycrystals. J Mech Phys Solids 50(4):783–80710.1016/S0022-5096(01)00094-1 ↗
28. Rauch EF, Schmitt JH (1989) Dislocation substructures in mild steel deformed in simple shear. Mater Sci Eng A 113:441–44810.1016/0921-5093(89)90331-6 ↗
29. Rauch EF, Thuillier S (1993) Rheological behaviour of mild steel under monotonic loading conditions and cross-loading. Mater Sci Eng A 164:255–25910.1016/0921-5093(93)90673-3 ↗
30. Rybin VV (1986) Severe plastic deformations and fracture of metals. Metallurgiya, Moscow
31. Stander N, Roux W, Goel T, Eggleston T, Craig K (2008) LS-OPT user’s manual. Livermore Software Technology Corporation
32. Strauven Y, Aernoudt E (1987) Directional strain softening in ferritic steel. Acta Metall 35:1029–103610.1016/0001-6160(87)90050-2 ↗
33. Teodosiu C, Hu Z (1995) Evolution of the intragranular microstructure at moderate and large strains: modelling and computational significance. In: Shen SF, Dawson PR (eds) Simulation of materials processing: theory, methods and applications. Balkema, Rotterdam, pp 173–182
34. Teodosiu C, Hu Z (1998) Microstructure in the continuum modelling of plastic anisotropy. In: Proceedings of 19th Risø international symposium on material’s science: modelling of structure and mechanics of materials from microscale to product. Risø National Laboratory, Roskilde, Denmark, pp 149–168
35. Thuillier S, Rauch EF (1994) Development of microbands in mild steel during cross loading. Acta Metall Mater 42:1973–198310.1016/0956-7151(94)90022-1 ↗
36. Thuillier S, Manach PY, Menezes LF (2010) Occurence of strain path changes in a two-stage deep drawing process. J Mater Process Technol 210(2):226–23210.1016/j.jmatprotec.2009.09.004 ↗
37. van Riel M, van den Boogaard AH (2007) Stress-strain responses for continuous orthogonal strain path changes with increasing sharpness. Scr Mater 57(5):381–38410.1016/j.scriptamat.2007.05.005 ↗
38. van Riel M (2009) Strain path dependency in sheet metal—experiments and models. Dissertation, Universiteit Twente