3-D simulation of spatial stress distribution in an AZ31 Mg alloy sheet under in-plane compression

International Journal of Plasticity

Volumn 27, Issue 10, 2011, Pages 1702-1720

  Choi, S H ^a   Kim, D W ^a   Seong, B S ^b   Rollett, A D ^c  

^a Sunchon National University   (South Korea)

^b Korea Atomic Energy Research Institute   (South Korea)

^c CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Crystal plasticity; Finite element; Stress concentration; Texture; Twinning

Indexed keywords

3D SIMULATIONS; AZ31 MG ALLOYS; CRYSTAL PLASTICITY; CRYSTAL PLASTICITY FINITE ELEMENT METHOD; CRYSTALLOGRAPHIC ORIENTATIONS; CRYSTALLOGRAPHIC SLIP; DEFORMATION TWINNING; ELECTRON BACKSCATTER DIFFRACTION TECHNIQUE; FINITE ELEMENT; GRAIN SIZE DISTRIBUTION; IN-PLANE COMPRESSION; INITIAL CONFIGURATION; MAPPING TECHNIQUES; MICRO-TEXTURE; MISORIENTATION DISTRIBUTIONS; POLYCRYSTALLINE;

ALLOYS; FINITE ELEMENT METHOD; GRAIN SIZE AND SHAPE; MICROSTRUCTURE; MONTE CARLO METHODS; PLASTICITY; SIZE DISTRIBUTION; STRESS CONCENTRATION; THREE DIMENSIONAL; TWINNING;

THREE DIMENSIONAL COMPUTER GRAPHICS;

EID: 80051793188     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2011.05.014     Document Type: Article

References (73)

1. ABAQUS User's Manual, version 6.5. Hibbit, Karlsson & Sorenson, Providence, RI, 2004.
2. S.R. Agnew, and O. Duygulu Plastic anisotropy and the role of non-basal slip in magnesium alloy AZ31B International Journal of Plasticity 21 2005 1161 1193 (Pubitemid 40134420)
3. S.R. Agnew, M.H. Yoo, and C.N. Tomé Application of texture simulation to understanding mechanical behavior of Mg and solid solution alloys containing Li or Y Acta Materialia 49 2001 4277 4289 (Pubitemid 33067780)
4. A.S. Khan, A. Pandey, T. Gnaupel-Herold, and R.K. Mishra Mechanical response and texture evolution of AZ31 alloy at large strains for different strain rates and temperatures International Journal of Plasticity 27 2011 688 706
5. R.J. Asaro, and A. Needleman Overview no. 42: Texture development and strain hardening in rate dependent polycrystals Acta Metallurgica 33 1985 923 953 (Pubitemid 15565280)
6. S. Balasubramanian, and L. Anand Plasticity of initially textured hexagonal polycrystals at high homologous temperatures: application to titanium Acta Materialia 50 2002 133 148 (Pubitemid 33143482)
7. R. Becker Analysis of texture evolution in channel die compression - I. Effects of grain interaction Acta Metal Materialia 39 1991 1211 1230 (Pubitemid 21649795)
8. R. Becker, and S. Panchanadeeswaran Effects of grain interactions on deformation and local texture in polycrystals Acta Metal Materialia 43 1995 2701 2719
9. I.J. Beyerlein, L. Capolungo, P.E. Marshall, R.J. McCabe, and C.N. Tomé Statistical analyses of deformation twinning in magnesium Philosophical Magazine 90 2010 2161 2190
10. R.K. Boger, R.H. Wagoner, F. Barlat, M.G. Lee, and K. Chung Continuous, large strain, tension/compression testing of sheet material International Journal of Plasticity 21 2005 2319 2343 (Pubitemid 41085221)
11. A. Brahme, M.H. Alvi, D. Saylor, J. Fridy, and A.D. Rollett 3D reconstruction of microstructure in a commercial purity aluminum Scripta Materialia 55 2006 75 80
12. D.W. Brown, S.R. Agnew, M.A.M. Bourke, T.M. Holden, S.C. Vogel, and C.N. Tomé Internal strain and texture evolution during deformation twinning in magnesium Materials Science and Engineering A 399 2005 1 12 (Pubitemid 41109875)
13. T.E. Buchheit, G.W. Wellman, and C.C. Battaile Investigating the limits of polycrystal plasticity modeling International Journal of Plasticity 21 2005 221 249
14. S.-H. Choi, J.C. Brem, F. Barlat, and K.H. Oh Macroscopic anisotropy in AA5019A sheets Acta Materialia 48 2000 1853 1863
15. S.-H. Choi, F. Barlat, and J.H. Chung Modeling of textures and yield surfaces during recrystallization in IF steel sheets Scripta Materialia 45 2001 1155 1162 (Pubitemid 33005923)
16. S.-H. Choi Simulation of stored energy and orientation gradients in cold-rolled interstitial free steels Acta Materialia 51 2003 1775 1788
17. S.-H. Choi, E.J. Shin, and B.S. Seong Simulation of deformation twins and deformation texture in an AZ31 Mg alloy under uniaxial compression Acta Materialia 55 2007 4181 4192 (Pubitemid 46880456)
18. S.-H. Choi, J.K. Kim, B.J. Kim, and Y.B. Park The effect of grain size distribution on the shape of flow stress curves of Mg-3Al-1Zn under uniaxial compression Materials Science and Engineering A 488 2008 458 467 (Pubitemid 351720426)
19. S.-H. Choi, D.H. Kim, H.W. Lee, B.S. Seong, K. Piao, and R. Wagoner Evolution of the deformation texture and yield locus shape in an AZ31 Mg alloy sheet under uniaxial loading Materials Science and Engineering A 526 2009 38 49
20. S.-H. Choi, D.H. Kim, S.S. Park, and B.S. Yoo Simulation of stress concentration in Mg alloys using the crystal plasticity finite element method Acta Materialia 58 2010 320 329
21. S.-H. Choi, D.H. Kim, H.W. Lee, and E.J. Shin Simulation of texture evolution and macroscopic properties in Mg alloys using the crystal plasticity finite element method Materials Science and Engineering A 527 2010 1151 1159
22. L. Delannay, P.J. Jacques, and S.R. Kalidindi Finite element modeling crystal plasticity with grains shaped as truncated octahedrons International Journal of Plasticity 22 2006 1879 1898 (Pubitemid 43831514)
23. L. Delannay, M.A. Melchior, J.W. Signorelli, J.-F. Remacle, T. Kuwabara, P.J. Jacques, and S.R. Kalidindi Influence of grain shape on the planar anisotropy of rolled steel sheets-evaluation of three models Computational Materials Science 45 2009 739 743
24. O. Diard, S. Leclercq, G. Rousselier, and G. Cailletaud Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity. Application to crystal plasticity model identification and the study of stress and strain fields near grain boundaries International Journal of Plasticity 21 2005 691 722
25. 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 International Journal of Plasticity 20 2004 1763 1788
26. S. Graff, W. Brocks, and D. Steglich Yielding of magnesium: from single crystal to polycrystalline aggregates International Journal of Plasticity 23 2007 1957 1978 (Pubitemid 47496125)
27. M. Groeber, S. Ghosh, M.D. Uchic, and D.M. Dimiduk A framework for automated analysis and simulation of 3D polycrystalline microstructures. Part 1: Statistical characterization Acta Materialia 56 2008 1257 1273
28. Hama, T., Takuda, H., 2010. Crystal-plasticity finite-element analysis of inelastic behavior during unloading in a magnesium alloy sheet. International Journal of Plasticity. doi:10.1016/j.ijplas.2010.11.004.
29. W.H. Hartt, and R.E. Reed-Hill Internal deformation and fracture of second-order { 1 0 1 ̄ 1 } - { 1 0 1 ̄ 2 } twins in magnesium Transactions of the Metallurgical Society AIME 242 1968 1127 1133
30. 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 International Journal of Plasticity 23 2007 1512 1539 (Pubitemid 46777250)
31. P.V. Houtte Simulation of the rolling and shear texture of brass by the Taylor theory adapted for mechanical twinning Acta Metallurgica 26 1978 591 604
32. A. Jain, and S.R. Agnew Modeling the temperature dependent effect of twinning on the behavior of magnesium alloy AZ31B sheet Materials Science and Engineering A 462 2007 29 36 (Pubitemid 46657160)
33. L. Jiang, J.J. Jonas, A.A. Luo, A.K. Sachdev, and S. Godet Twinning-induced softening in polycrystalline AM30 Mg alloy at moderate temperatures Scripta Materialia 54 2006 771 775 (Pubitemid 43038788)
34. L. Jiang, J.J. Jonas, A.A. Luo, A.K. Sachdev, and S. Godet Influence of 10-12 extension twinning on the flow behavior of AZ31 Mg alloy Materials Science and Engineering A 445-446 2007 302 309 (Pubitemid 46024495)
35. Kainer, K.U., Bohlen, J., Letzig, D., Mueller, S., Mueller, K., Reimers, W., 2007. Extruded magnesium alloys for structural applications. IMA Conference Proceedings, pp. 23-35.
36. S.R. Kalidindi, C.A. Bronkhorst, and L. Anand Crystallographic texture evolution in bulk deformation processing of FCC metals Journal of Mechanics and Physics of Solids 40 1992 537 569
37. S.R. Kalidindi Incorporation of deformation twinning in crystal plasticity modes Journal of Mechanics and Physics of Solids 46 1998 267 290 (Pubitemid 128393869)
38. T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. Jeulin Determination of the size of the representative volume element for random composites: statistical and numerical approach International Journal of Solids and Structures 40 2003 3647 3679 (Pubitemid 36659117)
39. E.W. Kelly, and W.F. Hosford Plane-strain compression of magnesium and magnesium alloy crystals Transactions of the Metallurgical Society AIME 242 1968 5 13
40. R.A. Lebensohn, and C.N. Tomé A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: application to zirconium alloys Acta Metallurgica et Materialia 41 1993 2611 2624
41. 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 2010 65 83
42. X.Y. Lou, M. Li, R.K. Boger, S.R. Agnew, and R.H. Wagoner Hardening evolution of AZ31B Mg sheet International Journal of Plasticity 237 2007 44 86 (Pubitemid 44404234)
43. W. Ludwig, A. King, P. Reischig, M. Herbig, E.M. Lauridsen, S. Schmidt, H. Proudhon, S. Forest, P. Cloetens, S. Rolland du Roscoat, J.Y. Buffire, T.J. Marrow, and H.F. Poulsen New opportunities for 3D materials science of polycrystalline materials at the micrometre length scale by combined use of X-ray diffraction and X-ray imaging Materials Science and Engineering A 524 2009 69 76
44. Luo, A.A., Sachdev, A.K., Mishra, R.K., 2007. Magnesium extrusion development for automotive applications. IMA Conference Proceedings, pp. 67-74.
45. Mayama, T., Noda, M., Chiba, R., Kuroda, M., 2011. Crystal plasticity analysis of texture development in magnesium alloy during extrusion. International Journal of Plasticity. doi:10.1016/j.ijplas.2011.02.007.
46. C. Miehe Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation International Journal for Numerical Methods in Engineering 55 2002 1285 1322 (Pubitemid 35400160)
47. A. Molinari, G.R. Canova, and S. Ahzi A self consistent approach of the large deformation polycrystal viscoplasticity Acta Metallurgica 35 1987 2983 2994 (Pubitemid 18547483)
48. M.D. Nave, and M.R. Barnett Microstructure and textures of pure magnesium deformed in plane-strain compression Scripta Materialia 51 2004 881 885
49. C.J. Neil, and S.R. Agnew Crystal plasticity-based forming limit prediction for non-cubic metals: application to Mg alloy AZ31B International Journal of Plasticity 25 2009 379 398
50. D. Peirce, R.J. Asaro, and A. Needleman Material rate dependence and localized deformation in crystalline solids Acta Metallurgica 31 1983 1951 1976 (Pubitemid 14505740)
51. G. Proust, C.N. Tomé, and G.C. Kaschner Modeling texture, twinning and hardening evolution during deformation of hexagonal materials Acta Materialia 55 2007 2137 2148 (Pubitemid 46335864)
52. G. Proust, C.N. Tomé, A. Jain, and S.R. Agnew Modeling the effect of twinning and detwinning during strain-path changes of magnesium alloy AZ31 International Journal of Plasticity 25 2009 861 880
53. D. Raabe, Z. Zhao, S.J. Park, and F. Roters Theory of orientation gradients in plasticity strained crystals Acta Materialia 50 2002 421 440 (Pubitemid 34043466)
54. R.E. Reed-Hill A study of the { 1 0 1 ̄ 1 } and { 1 0 1 ̄ 3 } twinning modes in magnesium Transactions of the Metallurgical Society AIME 218 1960 554 558
55. A.D. Rollett, and D.J. Srolovitz Simulation and theory of abnormal grain growth-variable grain boundary energies and mobilities Acta Metallurgica 37 1989 1240 2127
56. A.A. Salem, S.R. Kalidindi, and S.L. Semiatin Strain hardening due to deformation twinning in α-titanium: constitutive relations and crystal-plasticity modeling Acta Materialia 53 2005 3495 3502 (Pubitemid 40761052)
57. G.B. Sarma, B. Radhakrishnan, and T. Zacharia Finite element simulations of cold deformation at the mesoscale Computational Materials Science 12 1998 105 123 (Pubitemid 128455276)
58. D.M. Saylor, J. Fridy, B.S. El-Dasher, K.-Y. Jung, and A.D. Rollett Statistically representative three-dimensional microstructure based on orthogonal observation sections Metallurgical and Materials Transactions A 35A 2004 1969 1979
59. G. Simmons, and H. Wang Single Crystal Elastic Constants and Calculated Aggregate Properties 1971 The M.I.T. Press Cambridge
60. A. Staroselsky, and L. Anand A constitutive model for hcp materials deforming by slip and twinning: application to magnesium alloy AZ31B International Journal of Plasticity 19 2003 1843 1864
61. 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 International Journal of Plasticity 24 2008 1516 1532
62. C.N. Tomé, R.A. Lebensohn, and U.F. Kocks A model for texture development dominated by deformation twinning: application to zirconium alloys Acta Metallurgica et Materialia 39 1991 2667 2680
63. T. Walde, and H. Riedel Simulation of earing during deep drawing of magnesium alloy AZ31 Acta Materialia 55 2007 867 874 (Pubitemid 46027645)
64. Y.N. Wang, and J.C. Huang The role of twinning and untwinning in yielding behavior in hot-extruded Mg-Al-Zn alloy Acta Materialia 55 2007 897 905 (Pubitemid 46028969)
65. B.C. Wonsiewicz, and W.A. Backofen Plasticity of magnesium crystals Transactions of the Metallurgical Society AIME 239 1967 1422 1431
66. X. Wu, S.R. Kalidindi, C. Necker, and A.A. Salem Prediction of crystallographic texture evolution and anisotropic stress-strain curves during large plastic strains in high purity α-titanium using a Taylor-type crystal plasticity model Acta Materialia 55 2007 423 432 (Pubitemid 44909597)
67. P.D. Wu, D.J. Lloyd, M. Jain, K.W. Neale, and Y. Huang Effects of spatial grain orientation distribution and initial surface topography on sheet metal necking International Journal of Plasticity 23 2007 1084 1104 (Pubitemid 46366625)
68. W. Xu, M. Ferry, N. Mateescu, J.M. Cairney, and F.J. Humphreys Techniques for generating 3-D EBSD microstructures by FIB tomography Materials Characterization 58 2007 961 967 (Pubitemid 47314281)
69. P. Yang, Y. Yu, L. Chen, and W. Mao Experimental determination and theoretical prediction of twin orientations in magnesium alloy AZ31 Scripta Materialia 50 2004 1163 1168
70. S.-B. Yi, C.H.J. Davis, H.-G. Brokmeier, R.E. Bolmaro, K.U. Kainer, and J. Homeyer Deformation and texture evolution in AZ31 magnesium alloy during uniaxial loading Acta Materialia 54 2006 549 562 (Pubitemid 41782247)
71. D.L. Yin, K.F. Zhang, G.F. Wang, and W.B. Han Materials Science Engineering A 392 2005 320 325
72. M.H. Yoo Slip, twinning and fracture in hexagonal close-packed metals Metallurgical Transactions A 12A 1981 409 418 (Pubitemid 11488893)
73. M.H. Yoo, and J.K. Lee Deformation twinning in h.c.p. metals and alloys Philosophical Magazine A 63 1991 987 1000 (Pubitemid 21664182)