Assessment of plastic heterogeneity in grain interaction models using crystal plasticity finite element method

International Journal of Plasticity

Volumn 26, Issue 8, 2010, Pages 1220-1233

  Kanjarla, Anand Krishna ^a   Van Houtte, Paul ^a   Delannay, Laurent ^b  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Crystal plasticity; Finite element analysis; Grain boundary; Stress singularity; Triple junction

Indexed keywords

ADVANCED LAMEL MODEL; CRYSTAL PLASTICITY; CRYSTAL PLASTICITY FINITE ELEMENT; CRYSTAL PLASTICITY FINITE ELEMENT METHOD; DEFORMATION TEXTURE; FINITE ELEMENT ANALYSIS; GRAIN DEFORMATION; GRAIN INTERACTION; GRAIN INTERACTION MODEL; GRAIN SUBDIVISION; LOCAL VARIATIONS; MICROMECHANICAL MODEL; PLASTIC ANISOTROPY; PLASTIC STRAIN; SHEAR RATES; STRESS TENSORS; TAYLOR MODELS; TRIPLE JUNCTION; UNIT CELLS;

GRAIN BOUNDARIES; GRAIN SIZE AND SHAPE; METAL REFINING; PLASTIC DEFORMATION; PLASTICITY; PLASTICS; SHEAR DEFORMATION; STRAIN RATE; TEXTURES;

FINITE ELEMENT METHOD;

EID: 77955512420     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2009.05.005     Document Type: Article

References (58)

1. A. Acharya, A.J. Beaudoin, and R.E. Miller New perspectives in plasticity theory: dislocation nucleation, waves, and partial continuity of plastic strain rate Math. Mech. Solids 13 2008 292 315
2. K. Al-Fadhalah, C.N. Tome, A.J. Beaudoin, I.M. Robertson, J.P. Hirth, and A. Misra Modelling texture evolution during rolling of a Cu-Nb multilayered system Philos. Mag. 85 2005 1419 1440
3. W.M. Ashmawi, and M.A. Zikry Grain boundary effects and void porosity evolution Mech. Mater. 35 2003 537 552
4. P. Barai, and G.J. Weng Mechanics of very fine-grained nanocrystalline materials with contributions from grain interior, GB zone, and grain-boundary sliding Int. J. Plasticity 25 12 2009 2410 2434
5. F. Barbe, L. Decker, D. Jeulin, and G. Cailletaud Intergranular and intragranular behavior of polycrystalline aggregates. Part 2: FE model Int. J. Plasticity 17 2001 513 536 (Pubitemid 32272882)
6. F. Basson, and J.H. Driver Deformation banding mechanisms during plane strain compression of cube-oriented f.c.c. crystals Acta Mater. 48 2000 2101 2115
7. A.J. Beaudoin, P.R. Dawson, K.K. Mathur, and U.F. Kocks A hybrid finite element formulation for polycrystal plasticity with consideration of macrostructural and microstructural linking Int. J. Plasticity 11 1995 501 521
8. R. Becker, and S. Panchanadeeswaran Effects of grain interactions on deformation and local texture in polycrystals Acta Metall. Mater. 43 1995 2701 2719
9. A. Bhattacharyya, E. El-Danaf, S.R. Kalidindi, and R.D. Doherty Evolution of grain-scale microstructure during large strain simple compression of polycrystalline aluminium with quasi-columnar grains: OIM measurements and numerical simulations Int. J. Plasticity 17 2001 861 883
10. T.R. Bieler, P. Eisenlohr, F. Roters, D. Kumar, D.E. Mason, M.A. Crimp, and D. Raabe The role of heterogeneous deformation on damage nucleation at grain boundaries in single phase metals Int. J. Plasticity 25 9 2009 1655 1683
11. T.E. Buchheit, G.W. Wellman, and C.C. Battaile Investigating the limits of polycrystal plasticity modeling Int. J. Plasticity 21 2005 221 249
12. L. Capolungo, M. Cherkaoui, and J. Qu On the elastic visco-plastic behavior of nanocrystalline materials Int. J. Plasticity 23 2007 561 591
13. R.K. Davies, and V. Randle Orientation perturbations near triple junctions in a non-cell forming aluminium-magnesium alloy Mat. Sci. Eng. A283 2000 251 265
14. P.R. Dawson, S.R. MacEwen, and P-D. Wu Advances in sheet metal forming analyses: dealing with mechanical anisotropy from crystallographic texture Int. Mater. Rev. 48 2003 86 122
15. F. Delaire, J.L. Raphanel, and C. Rey Plastic heterogeneities of a copper multicrystal deformed in uniaxial tension: experimental study and finite element simulations Acta Mater. 48 5 2000 1075 1087
16. L. Delannay, R.E. Logé, Y. Chastel, J.W. Signorelli, and P. Van Houtte Measurement of in-grain orientation gradients by EBSD and comparison with finite element results Adv. Eng. Mater. 5 2003 597 600
17. 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 2005 1639 1644
18. L. Delannay, P.J. Jacques, and S.R. Kalidindi Finite element modeling of crystal plasticity shaped as truncated octahedrons Int. J. Plasticity 22 2006 1879 1898
19. Delannay, L., Kanjarla, A.K., Melchior, M.A., Signorelli, J.W., Van Houtte, P., 2008. CPFEM investigation of the effect of grain shape on the planar anisotropy and the shear banding of textured metal sheets. In: Rolett, A.D. (Ed.), Proceedings of the Icotom 15 (CMU Pittsburg, June 2008) (CD-ROM, American Ceramic Society), S14-5, pp. 1-12.
20. O. Diard, S. Leclercq, G. Rousselier, and G. Cailletaud Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity Int. J. Plasticity 21 2005 691 722
21. O. Engler, M. Crumbach, and S. Li Alloy-dependent rolling texture simulation of aluminium alloys with a grain-interaction model Acta Mater. 53 2005 2241 2257
22. P. Erieau, and C. Rey Modeling of deformation and rotation bands and of deformation induced grain boundaries in IF steel aggregate during large plane strain compression Int. J. Plasticity 20 2004 1763 1788
23. L.P. Evers, D.M. Parks, W.A.M. Brekelmans, and M.G.D. Geers Crystal plasticity model with enhanced hardening by geometrically necessary dislocation accumulation J. Mech. Phys. Solids 50 2002 2403 2424
24. M.E. Gurtin, and L. Anand Nanocrystalline grain boundaries that slip and separate: a gradient theory that accounts for grain-boundary stress and conditions at a triple-junction J. Mech. Phys. Solids 56 2008 184 199
25. E. Héripré, M. Dexet, J. Crépin, L. Gélébart, A. Roos, M. Bornert, and D. Caldemaison Coupling between experimental measurements and polycrystal finite element calculations for micromechanical study of metallic materials Int. J. Plasticity 23 2007 1512 1539
26. X. Huang, and G. Winther Dislocation structures. Part I. Grain orientation dependence Philos. Mag. 87 2007 5189 5214 (Pubitemid 47621626)
27. S.R. Kalidindi, A. Bhattacharya, and R.D. Doherty Detailed analyses of grain-scale plastic deformation in columnar polycrystalline aluminum using orientation image mapping and crystal plasticity models Proc. R. Soc. Lond. A 460 2004 1935 1956
28. M. Kamaya, Y. Kawamura, and T. Kitamura Three-dimensional local stress analysis on grain boundaries in polycrystalline material Int. J. Solids Struct. 44 2007 3267 3277
29. R.A. Lebensohn, and G.R. Canova A self-consistent approach for modelling texture development of two phase polycrystals: application to titanium alloys Acta Mater. 45 1997 3687 3694
30. R.A. Lebensohn, R. Brenner, O. Castelneau, and A.D. Rollett Orientation image-based micromechanical modelling of subgrain texture evolution in polycrystalline copper Acta Mater. 56 2008 3914 3926
31. C.S. Lee, B.J. Duggan, and R.E. Smallman A theory of deformation banding in cold rolling Acta Metall. Mater. 41 1993 2265 2270
32. B.J. Lee, S. Ahzi, and D.M. Parks Bicrystal-based modeling of plasticity in FCC metals J. Eng. Mater. Technol. 124 2002 27 40
33. J. Li, and G.J. Weng A secant-viscosity composite model for the strain-rate sensitivity of nanocrystalline materials Int. J. Plasticity 23 2007 2115 2133
34. Q. Liu, C. Maurice, J.H. Driver, and N. Hansen Heterogeneous microstructures and microtextures in cube-oriented Al crystals after channel die compression Metal. Mater. Trans. 29A 1998 2333 2344
35. A. Ma, F. Rosters, and D. Raabe On the consideration of interactions between dislocations and Grain boundaries in crystal plasticity finite element modeling - theory, experiments and simulations Acta Mater. 54 2006 2181 2194
36. S. Mahesh A hierarchical model for rate-dependent polycrystals Int. J. Plasticity 25 2009 752 767
37. M.D. McDowell Viscoplasticity of Heterogeneous metallic materials Mater. Sci. Eng. R 62 2008 67 123
38. D.P. Mika, and P.R. Dawson Polycrystal plasticity modelling of intracrystalline boundary texture Acta Mater. 47 1999 1355 1369
39. A. Musienko, A. Tatschl, K. Schmidegg, O. Kolednik, R. Pippan, and G. Cailletaud Three-dimensional finite element simulation of a polycrystalline copper specimen Acta Mater. 55 2007 4121 4136
40. M.D. Nave, and M.R. Barnett Texture change near grain boundaries and triple points in cold-rolled interstitial-free steel Mater. Sci. Eng. A 386 2004 244 253
41. T. Ohashi, M. Kawamukai, and H. Zbib A multiscale approach for modeling scale-dependent yield stress in polycrystalline metals Int. J. Plasticity 23 2007 897 914
42. T. Ohashia, R.I. Barabash, J.W.L. Pangb, G.E. Ice, and O.M. Barabash X-ray microdiffraction and strain gradient crystal plasticity studies of geometrically necessary dislocations near a Ni bicrystal grain boundary Int. J. Plasticity 23 2009 920 941
43. H.F. Poulsen, L. Margulies, S. Schmidt, and G. Winther Lattice rotations of individual bulk grains. Part 1: 3D X-ray characterization Acta Mater. 51 2003 3821 3830
44. D. Raabe, Z. Zhao, and W. Mao On the dependence of in-grain subdivision and deformation texture of aluminium on grain interaction Acta Mater. 50 2002 4379 4394
45. D. Raabe, Z. Zhao, and F. Roters Study on the orientational stability of cube-oriented FCC crystals under plane strain by use of a texture component crystal plasticity finite element method Acta Mater. 50 2004 1085 1090
46. B.M. Schroeter, and D.L. McDowell Measurement of deformation fields in polycrystalline OFHC copper Int. J. Plasticity 19 2003 1355 1376
47. C.W. Sinclair, W.J. Poole, and Y. Bréchet A model for grain size dependent work hardening of copper Scripta Mater. 55 2006 739 742
48. L. St-Pierre, E. Héripré, M. Dexet, J. Crépin, G. Bertolino, and N. Bilger 3D Simulations of microstructure and comparison with experimental microstructure coming from O.I.M analysis Int. J. Plasticity 24 2008 1516 1532
49. S. Sun, B.L. Adams, C. Shet, S. Saigal, and W. King Mesoscale investigation of the deformation field of an aluminium bicrystal Scripta Mater. 39 1998 501 508 (Pubitemid 128394619)
50. P. Van Houtte Heterogeneity of plastic strain around an ellipsoidal inclusion in an ideal plastic matrix Acta Metall. Mater. 43 1995 2859 2879
51. P. Van Houtte, L. Delannay, and S.R. Kalidindi Comparison of two grain interaction models for polycrystal plasticity and deformation texture prediction Int. J. Plasticity 18 2002 359 377
52. P. Van Houtte, S. Li, M. Seefeldt, and L. Delannay Deformation texture prediction: from the Taylor model to the advanced Lamel model Int. J. Plasticity 21 2005 589 624
53. P. Van Houtte, A.K. Kanjarla, A. Van Bael, M. Seefeldt, and L. Delannay Multiscale modelling of the plastic anisotropy and deformation texture of polycrystalline materials Eur. J. Mech. A 25 2006 634 648
54. S. Zaefferer, J.C. Kuo, Z. Zhao, M. Winning, and D. Raabe On the influence of the grain boundary misorientation on the plastic deformation of aluminium bicrystals Acta Mater. 51 2003 4719 4735
55. 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 Int. J. Plasticity 23 2007 1126 1147
56. A. Zaoui Plastic behaviour of polycrystals John Gittus, Joseph Zarka, Modelling of Small Deformation of Polycrystals 1986 Elsevier Applied Science Publishers Amsterdam
57. Z. Zhao, M. Ramesh, D. Raabe, AM. Cuitiño, and R. Radovitzky Investigation of three-dimensional aspects of grain-scale plastic surface deformation of an aluminium oligocrystal Int. J. Plasticity 24 2008 2278 2297
58. A.A. Zisman, S. Van Boxel, M. Seefeldt, and P. Van Houtte Gradient matrix method to image crystal curvature by processing of EBSD data and trial recognition of low-angle boundaries in IF steel Mater. Sci. Eng. A 474 2008 165 172