A new crystal plasticity scheme for explicit time integration codes to simulate deformation in 3D microstructures: Effects of strain path, strain rate and thermal softening on localized deformation in the aluminum alloy 5754 during simple shear

International Journal of Plasticity

Volumn 26, Issue 12, 2010, Pages 1702-1725

  Rossiter, J ^a   Brahme, A ^a   Simha, M H ^b   Inal, K ^a   Mishra, R ^c  

^a UNIVERSITY OF WATERLOO   (Canada)

^b AMEC FOSTER WHEELER   (United States)

^c GENERAL MOTORS CORPORATION   (United States)

Author keywords

Crystal plasticity; Localized deformation; Simple shear; Strain path effects; Strain rate effects

Indexed keywords

CRYSTAL PLASTICITY; LOCALIZED DEFORMATIONS; SIMPLE SHEAR; STRAIN PATH EFFECTS; STRAIN RATE EFFECTS;

ALUMINUM; ALUMINUM ALLOYS; CRYSTAL ORIENTATION; DEFORMATION; FINITE ELEMENT METHOD; PLASTICITY; TEXTURES; THREE DIMENSIONAL;

STRAIN RATE;

EID: 77958017908     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2010.02.007     Document Type: Article

References (51)

1. L. Anand, and M. Kothari A computational procedure for rate independent crystal plasticity Journal of the Mechanics and Physics of Solids 44 1996 524 558
2. R.J. Asaro, and A. Needleman Texture development and strain hardening in rate dependent polycrystals Acta Metallurgica 33 1985 923 953
3. B. Beausir, L.S. Toth, and K.W. Neale Role of strain-rate sensitivity in the crystal plasticity of hexagonal structures International Journal of Plasticity 23 2007 227 243
4. T. Belytschko, W.K. Liu, and B. Moran Nonlinear Finite Elements for Continua and Structures 2000 Wiley New York
5. W. Bleck, A. Frehn, P. Larour, and G. Steinbeck Investigations Concerning the Strain Rate Behaviour of Modern Sheet Steels for Autobody Applications Materialwissenscharf und Wekstofftechnik 35 8 2004 505 513 (Pubitemid 44616136)
6. U. Borg Strain gradient crystal plasticity effects on flow localization International Journal of Plasticity 23 2007 1400 1416
7. A. Brahme, M. Alvi, D. Saylor, J. Fridy, and A.D. Rollett 3D reconstruction of microstructure in a commercial purity aluminum Scripta Materialia 55 1 2007 75 80
8. F. Bridier, D.L. McDowell, P. Villechaise, and J. Mendez Crystal plasticity modeling of slip activity in Ti-6Al-4V under high cycle fatigue loading International Journal of Plasticity 25 2009 1066 1082
9. J.D. Colvin, R.W. Minich, and D.H. Kalantar A model for plasticity kinetics and its role in simulating the dynamic behaviour of Fe at high strain rates International Journal of Plasticity 25 2009 603 611
10. A.M. Cuitino, and M. Ortiz Computational modeling of single-crystals Modelling and Simulation in Materials Science and Engineering 1 3 1993 225 263
11. L. Delannay, P.J. Jacques, and S.R. Kalidindi Finite element modeling of crystal plasticity with grains shaped as truncated octahedrons International Journal of Plasticity 22 2006 1879 1898
12. Delannay, L., Melchoir, M.A., Kanjarla, A.K., Van Houtte, P., Signorelli, J.W., 2008. CPFEM investigation of the effect of grain shape on the planar anisotropy and the shear banding of textured metal sheets. In: Proceedings of the15th International Conference on Textures of Materials (ICOTOM 15).
13. Y.X. Gan, and J.W. Kysar Cylindrical void in a rigid-ideally plastic single crystal III: hexagonal close-packed crystal International Journal of Plasticity 23 2007 592 619
14. M. Gasperini, V. Richard, and R. Chiron Development of plastic strain heterogeneities on cold-rolled aluminium alloys during in situ shear tests inside a SEM Journal de Physique 11 2001 221 228
15. S. Graff, W. Brocks, and D. Steglich Yielding of magnesium: from single crystal to polycrystalline aggregates International Journal of Plasticity 23 2007 1957 1978
16. Hallquist, J.O., 1998. LS-DYNA - Theoretical Manual. Livermore Software Technology Corporation.
17. T. Hassan, L. Taleb, and S. Krishna Influence of non-proportional loading on ratcheting responses and simulations by two recent cyclic plasticity models International Journal of Plasticity 24 2008 1863 1889
18. B. Holmedal, P. Van Houtte, and Y. An A crystal plasticity model for strain-path changes in metals International Journal of Plasticity 24 2008 1360 1379
19. W.F. Hosford The mechanics of crystals and textured polycrystals 1993 Oxford University Press
20. J.W. Hutchinson, and K.W. Neale Sheet necking - II. Time-independent behaviour D.P. Koistinen, N.M. Wang, Mechanics of Sheet Metal Forming 1978 Plenum Press New York 127 153
21. J.W. Hutchinson, and K.W. Neale Sheet necking - III. Strain-rate effects D.P. Koistinen, N.M. Wang, Mechanics of Sheet Metal Forming 1978 Plenum Press New York 269 285
22. K. Inal, P.D. Wu, and K.W. Neale Finite element analysis of localization in FCC polycrystalline sheets under plane stress tension International Journal of Solids and Structures 39 2002 3469 3486
23. K. Inal, P.D. Wu, and K.W. Neale Large strain behaviour of aluminium sheets subjected to in-plane simple shear Modelling and Simulation in Material Science and Engineering 10 2002 237 252
24. S.R. Kalidindi, C.A. Bronkhorst, and L. Anand Crystallographic texture evolution in bulk deformation processing of fcc metals Journal of the Mechanics and Physics of Solids 40 3 1992 537 569
25. S.R. Kalidindi, B.R. Donohue, and S. Li Modeling texture evolution in equal channel angular extrusion using crystal plasticity finite element models International Journal of Plasticity 25 2009 768 779
26. U.F. Kocks, C.N. Tome, H.R. Wenk, and H. Mecking Texture and Anisotropy 2001 Cambridge University Press Cambridge
27. S.N. Kuchinicki, R.A. Radovitzky, and A.M. Cuitino An explicit formulation for multiscale modeling of bcc metals International Journal of Plasticity 24 2008 2173 2191
28. S.N. Kuchnicki, A.M. Cuitino, and R.A. Radovitzky Efficient and robust constitutive integrators for single-crystal plasticity modeling International Journal of Plasticity 22 10 2006 1988 2011
29. M. Kulkarni, T. Belytschko, and A. Bayliss Stability and error analysis for time integrators applied to softening materials Computer Methods in Applied Mechanics and Engineering 124 1995 335 363
30. J. Lemonds, and A. Needleman Finite element analyses of shear localization in rate and temperature dependent solids Mechanics of Materials 5 1986 339 361
31. J. Lévesque, K. Inal, K.W. Neale, and R.K. Mishra Numerical modeling of formability of extruded magnesium alloy tubes International Journal of Plasticity 26 1 2010 65 83
32. H.W. Li, H. Yang, and Z.C. Sun A robust integration algorithm for implementing rate dependent crystal plasticity into explicit finite element method International Journal of Plasticity 24 2008 267 288
33. X.W. Ling, M.F. Horstemeyer, and G.P. Potirniche On the numerical implementation of 3D rate-dependent single crystal plasticity formulations International Journal for Numerical Methods in Engineering 63 4 2005 548 568
34. A.M. Maniatty, P.R. Dawson, and Y.S. Lee A time integration algorithm for elastoviscoplastic cubic-crystals applied to modeling polycrystalline deformation International Journal for Numerical Methods in Engineering 35 8 1992 1565 1588
35. J.R. Mayeur, and D.L. McDowell A three-dimensional crystal plasticity model for duplex Ti-6Al-4V International Journal of Plasticity 23 2007 1457 1485
36. J. Mckinley, H. Simha, and M. Worswick Constitutive Modelling of Aluminum Clad Sheet for Warm Forming 2009 International Deep Drawing Research Group
37. D. Peirce, R.J. Asaro, and A. Needleman An analysis of nonuniform and localized deformation in ductile single crystals Acta Metallurgica 30 1982 1087 1119
38. D. Peirce, R.J. Asaro, and A. Needleman Material rate dependence and localized deformation in crystalline solids Acta Metallurgica 31 12 1983 1951 1976
39. D. Peirce, C.F. Shih, and A. Needleman A tangent modulus method for rate dependent solids Computers and Structures 18 5 1984 875 887
40. J.L. Raphanel, G. Ravichandran, and Y.M. Leroy Three-dimensional rate-dependent crystal plasticity based on Runge-Kutta algorithms for update and consistent linearization International Journal of Solids and Structures 41 22-23 2004 5995 6021
41. E.F. Rauch Plastic anisotropy of sheet metals determined by simple shear tests Materials Science and Engineering A241 1997 179 183
42. M.H. Simha, K. Inal, and J.M. Worswick Path and orientation dependence of formability in the stress- and extended stress-based forming limit curves Journal of Engineering Materials and Technology 130 2008 2003 2011
43. J. Spowart, H. Mullens, and B. Puchala Collecting and analyzing microstructures in three dimensions: a fully automated approach JOM 55 2003 35 37
44. C.Y. Tang, T.C. Lee, and B. Rao An experimental study of shear damage and failure of aluminium alloy 2024T3 Journal of Materials Processing Technology 139 2003 208 211
45. A.H. Van Den Boogaard, and J. Huetink Simulation of aluminium sheet forming at elevated temperatures Computer Methods in Applied Mechanics andEngineering 195 2006 6691 6709
46. S. Zaefferer, SI. Wright, and D. Raabe Three-dimensional orientation microscopy in a focused ion beam-scanning electron microscope: a new dimension of microstructure characterization Metallurgical and Materials Transactions A: Physical 39 2008 374 389
47. A. Zamiri, F. Pourboghrat, and F. Barlat An effective computational algorithm for rate-independent crystal plasticity based on a single crystal yield surface with an application to tube hydroforming International Journal of Plasticity 23 2007 1126 1147
48. M. Zhang, J. Zhang, and D.L. McDowell Microstructure-based crystal plasticity modeling of cyclic deformation of Ti-6Al-4V International Journal of Plasticity 23 2007 1328 1348
49. F. Zhang, A.F. Bower, R.K. Mishra, and K.P. Boyle Numerical simulations of necking during tensile deformation of aluminum single crystals International Journal of Plasticity 25 2009 49 69
50. M.A. Zikry An accurate and stable algorithm for high strain-rate finite strain plasticity Computers and Structures 50 3 1994 337 350
51. Zikry, M.A., Nemat-Nasser, S., 1990. High strain-rate localization and failure of crystalline materials.