A review of microstructural computer models used to simulate grain growth and recrystallisation in aluminium alloys

Journal of Light Metals

Volumn 2, Issue 3 SPEC., 2002, Pages 125-135

  Miodownik, Mark A ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

Cellular automation; Grain growth; Microstructural evolution; Monte Carlo; Nucleation; Phase field; Recrystallisation; Simulation; Subgrain; Vertex

Indexed keywords

COMPUTER SIMULATION; GRAIN GROWTH; METALLOGRAPHIC MICROSTRUCTURE; NUCLEATION; RECRYSTALLIZATION (METALLURGY);

COMPUTER MODELS;

ALUMINUM ALLOYS;

EID: 0036705314     PISSN: 14715317     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1471-5317(02)00039-1     Document Type: Review

References (79)

1. Gottstein G., Molodov D.A., Shvindlerman L.S. Grain boundary migration in metals: recent developments. Interface Sci. 6:1998;7-22.
2. Winning M., Gottstein G., Shvindlerman L.S. On the mechanisms of grain boundary migration. Acta Mat. 50:2002;353-363.
3. Rollett A.D., Srolovitz D.J., Karma A. Editorial: microstructural evolution based on fundamental interfacial properties. Interface Sci. 10:2002;119.
4. Smith C.S. Grains, phases and interfaces, an interpretation of microstructure. Trans. AIME. 175:1948;15.
5. Rollett A.D., Mullins W.W. On the growth of abnormal grains. Scripta Mat. 36:1997;975-980.
6. Humphries F.J. A unified theory of recovery, recrystallisation and grain growth, based on the stability and growth of cellular micorstructures-i the basic model. Acta Mat. 45:1997;4231-4240.
7. Lücke K., Abbruzzese G., Brandt R., Lücke K. Development of the statistical theory of grain growth for the general case of non-uniform grain boundaries and textures. Mater. Sci. Forum. 273:1998;41-54.
8. von Neumann J. Metal Interfaces. 1952;ASM, Cleveland.
9. Demirel M.C., Kuprat A.P., George D.C., El-Dasher B.S., Straub G.K., Rollett A.D. Experimental verification of finite element simulation of curvature-driven grain growth in al-foil. Proceedings of the First Joint International Conference on Recrystallisation and Grain Growth. vol. 1:2001;297-302 Springer-Verlag, Berlin.
10. Janssens K.G.F., Vanini F., Reissner J.N. Thermodynamic and kinetic coupling of a random grid cellular automaton for the simulation of grain growth. Adv. Engng. Mater. 4:2002;200-202.
11. Maurice C., Humphries J. 2- and 3-d curvature driven vertex simulations of grain growth. Grain Growth in Polycrystalline Materials III. vol. 1:1998;81-90 The Minerals, Metals and Materials Society, Warrnedale.
12. Maurice C. 2- and 3-d curvature driven vertex simulations of grain growth. Proceedings of the First Joint International Conference on Recrystallization and Grain Growth. vol. 1:2001;123-134 Springer-Verlag, Berlin.
13. Brakke K. The Motion of a Surface by its Mean Curvature. 1978;Princeton University Press, New Jersey.
14. Weygand D., Brechet Y., Lepinoux J. A vertex simulation of grain growth in 2d and 3d. Adv. Engng. Mater. 3:2001;67-71.
15. Carel R., Thompson C.V., Frost H.J. Computer simulation of strain energy effects vs. surface and interface energy effects on grain growth in thin films. Acta Mat. 44:1996;2479-2494.
16. Weygand D., Brechet Y., Lepinoux J. Zener pinning and grain growth: a two-dimensional vertex computer simulation. Acta Mat. 47:1999;961-970.
17. Fan D., Chen L.Q. Computer simulation of grain growth using a continuum field model. Acta Mat. 45:1997;611-622.
18. Chen L.Q. Phase-field models for microstructure evolution. Annu. Rev. Mater. Res. 32:2002;113-140.
19. Lusk M.T. A phase-field paradigm for grain growth and recrystallization. Proc. Roy. Soc. Lond. A. 455:1999;677-700.
20. Warren J.A., Kobayashi R., Carter W.C. Modeling grain boundaries using a phase-field technique. J. Crystal Growth. 211:2000;18-20.
21. Krill C.E., Chen L.Q. Computer simulation of 3-d grain growth using a phase-field model. Acta Mat. 50:2002;3057-3073.
22. Tikare V., Holm E.A., Fan D.et al. Comparison of phase-field and Potts models for coarsening processes. Acta Mat. 47:1998;363-371.
23. Fan D., Chen S.P., Chen L.Q. Computer simulation of grain growth kinetics with solute drag. J. Mater. Res. 14:1999;1113-1123.
24. Kazaryan A., Wang Y., Dregia S.A., Patton B.R. Grain growth in systems with anisotropic boundary mobility: analytical model and computer simulation. Phys. Rev. B. 63:2001.
25. Miodownik M.A., Cerezo A., Martin J.W. Mesoscale simulations of particle pinning. Phil. Mag. A. 79:1999;203.
26. Holm E.A., Battaile C.C. The computer simulation of microstructural evolution. JOM. 53:2001;20-23.
27. Holm E.A., Hassold G.N., Miodownik M.A. On misorientation distribution evolution during anisotropic grain growth. Acta Mat. 49:2001;2981-2991.
28. G.N. Hassold, E.A. Holm, M.A. Miodownik, On the accumulation of CSL boundaries during grain growth, Mater. Sci. Technol., in press.
29. Caleyo F., Baudin T., Penelle R. Monte Carlo simulation of recrystallization in Fe50%Ni starting from EBSD and bulk texture measurements. Scripta Mat. 46:2002;829-835.
30. Moldovan D., Wolf D., Phillpot S.R.et al. Mesoscopic simulation of two-dimensional grain growth with anisotropic grain-boundary properties. Phil. Mag. A. 82:2002;1271-1297.
31. Kobayashi M., Takayama Y., Kao H. Prediction of microstructural evolution during grain growth of a pure aluminum by means of Monte Carlo simulation. Mat. Trans. 42:2001;2307-2315.
32. Yang Z., Sista S., Elmer J.W.et al. Three dimensional Monte Carlo simulation of grain growth during GTA welding of titanium. Acta Mat. 48:2000;4813-4825.
33. Srolovitz D.J., Grest G.S., Anderson M.P. Computer simulation of grain growth - v. abnormal grain growth. Acta Metall. Mater. 33:1985;2233-2247.
34. Rollett A.D., Srolovitz D.J., Anderson M.P. Simulation and theory of abnormal grain growth-anisotropic grain boundary energies and mobilities. Acta Metall. Mater. 37:1988;1227-1240.
35. Hinz D.C., Szpunar J.A. Modelling the effect of coinsidence site lattice boundaries on grain-growth textures. Phys. Rev. B. 52:1995;9900-9909.
36. Hassold G.N., Holm E.A. A fast serial algorithm for the finite temperature quenched Potts model. Comput. Phys. 7:1993;97-107.
37. Hillert M. Inhibition of grain growth by second-phase particles. Acta Metall. 36:1988;3177-3188.
38. Miodownik M., Holm E.A., Hassold G.N. Highly parallel computer simulations of particle pinning: Zener vindicated. Scripta Mat. 42:2000;1173-1177.
39. Miodownik M., Holm E.A., Hassold G.N. 3d massively parallel cellular automaton simulations of Zener pinning. Proceedings of the First Joint International Conference on Recrystallisation and Grain Growth. vol. 1:2001;347-352 Springer-Verlag, Berlin.
40. Manohar P.A., Ferry M., Chandra T. Five decades of the Zener equation. ISIJ Int. 38:1998;913-924.
41. Gottstein G., Shvindlerman L.S. Triple junction drag and grain growth in 2d polycrystals. Acta Mat. 50:2002;703-713.
42. Winning M., Gottstein G., Shvindlerman L.S. Stress induced grain boundary motion. Acta Mat. 49:2001;211-219.
43. Molodov D.A. Grain boundary character - a key factor for grain boundary control. Proceedings of the First Joint International Conference on Recrystallization and Grain Growth. vol. 1:2001;21-38 Springer-Verlag, Berlin.
44. Rollett A.D. A new representation of grain boundary properties. Mater. Sci. Forum. 396:2002;593-598.
45. Yang C.C., Rollett A.D., Mullins W.W. Measuring relative grain boundary energies and mobilities in an aluminum foil from triple junction geometry. Scripta Mat. 44:2001;2735-2740.
46. Adams B.L., Ta'asan S., Kinderlehrer D.et al. Extracting grain boundary and surface energy from measurement of triple junction geometry. Interface Sci. 7:1999;321-338.
47. Huang Y., Humphries F.J. Subgrain growth and low angle boundary mobility in aluminium crystals of orientation. 1 1 0 ( 0 0 1 ) Acta Mat. 48:2000;2017-2030.
48. Upmanyu M., Srolovitz D.J., Shvindlerman L.S.et al. Molecular dynamics simulation of triple junction migration. Acta Mat. 50:2002;1405-1420.
49. Upmanyu M., Srolovitz D.J., Shvindlerman L.S.et al. Misorientation dependence of intrinsic grain boundary mobility: simulation and experiment. Acta Mat. 47:1999;3901-3914.
50. Haslam A.J., Moldovan D., Phillpot S.R., Wolf D., Gleiter H. Combined atomistic and mesoscale simulation of grain growth in nanocrystalline thin films. Comput. Mater. Sci. 23:2002;15-32.
51. Voter A.F., Montalenti F., Germann T.C. Extending the time scale in atomic simulation of materials. Annu. Rev. Mater. Res. 32:2002;321-346.
52. Miodownik M.A., Godfrey A.W., Holm E.A., Hughes D.A. On boundary misorientation distribution functions and how to incorporate them into three-dimensional models of microstructural evolution. Acta Mat. 47:2001;2661-2668.
53. Kobayashi M., Takayama Y., Kato H., Shibayanagi T. Computer simulation of grain growth based on orientation data of pure aluminium. Proceedings of the First Joint International Conference on Recrystallization and Grain Growth. vol. 1:2001;233-238 Springer-Verlag, Berlin.
54. Demirel M.C., Kuprat A.P., George D.C., El-Dascher B.S., Straub G.K., Rollett A.D. Experimental verification of finite element simulation of curvature-driven grain growth in al-foil. Proceedings of the First Joint International Conference on Recrystallization and Grain Growth. vol. 1:2001;297-302 Springer-Verlag, Berlin.
55. Demirel M.C., Kuprat A.P., George D.C.et al. Linking experimental characterization and computational modeling of grain growth in al-foil. Interface Sci. 10:2002;137-141.
56. Sursaeva V.G., Protasova S.G. Investigation of two-dimensional grain growth in al. Proceedings of the First Joint International Conference on Recrystallization and Grain Growth. vol. 1:2001;327-332 Springer-Verla, Berlin.
57. Gottstein G., Sebald R. Modelling of recrystallization textures. J. Mater. Process Tech. 117:2001;282-287.
58. Davies C.H.J., Hong L. The cellular automaton simulation of static recrystallization in cold-rolled aa1050. Scripta Mat. 40:1999;1145-1150.
59. Raabe D. Introduction of a scalable three-dimensional cellular automaton with a probabilistic switching rule for the discrete mesoscale simulation of recrystallization phenomena. Phil. Mag. A. 79:1999;2339-2358.
60. Marx V., Reher F.R., Gottstein G. Simulation of primary recrystallization using a modified three-dimensional cellular automaton. Acta Mat. 47:1999;1219-1230.
61. Ding R., Guo Z.X. Coupled quantitative simulation of microstructural evolution and plastic flow during dynamic recrystallization. Acta Mat. 49:2001;3163-3175.
62. Raabe D., Decker R.C. Coupling of a crystal plasticity finite-element model with a probabilistic cellular automaton for simulating primary static recrystallization in aluminium. Model. Simul. Mater. Sci. 8:2000;445-462.
63. Rollett A.D., Raabe D. A hybrid model for mesoscopic simulation of recrystallization. Comput. Mater. Sci. 21:2001;69-78.
64. Rollett A.D., Srolovitz D.J., Doherty R.D.et al. Computer-simulation of recrystallization in non-uniformly deformed metals. Acta Metall. Mater. 37:1989;627-639.
65. Rollett A.D., Srolovitz D.J., Anderson M.P.et al. Computer-simulation of recrystallization. 3. influence of a dispersion of fine particles. Acta Metall. Mater. 40:1992;3475-3495.
66. Raabe D. Computational Materials Science. 1998;Wiley, Weinheim.
67. Raabe D. Cellular automata in materials science with particular reference to recrystallization simulation. Annu. Rev. Mater. Res. 32:2002;53-76.
68. Hughes D.A., Liu Q., Chrzan D.C., Hansen N. Scaling of microstructural parameters: misorientations of deformation induced boundaries. Acta Mat. 45:1997;105-112.
69. Liu Q., Hansen N. Macroscopic and microscopic subdivision of a cold-rolled aluminium single crystal of cubic orientation. Proc. R. Soc. Land., A. 454:1998;2555-2591.
70. Godfrey A.W., Hughes D.A. Scaling of the spacing of deformation induced dislocation boundaries. Acta Mat. 48:2000;1897-1905.
71. Ferry M., Humphries F.J. Dicontinuous subgrain growth in deformed and annealed {. 1 1 0 }( 0 0 1 ) aluminium single crystals Acta Mat. 44:1996;1293-1308.
72. Huang Y., Humphries F.J., Ferry M. The annealing behaviour of deformed cube-oriented aluminium single crystals. Acta Mat. 48:2000;2543-2556.
73. Bay B., Hansen N., Hughes D.A., Kuhlmann-Wilsdorf D. Evolution of fcc deformation structures in polyslip. Acta Metall. Mater. 40:1992;205-219.
74. Wert J.A., Liu Q., Hansen N. Dislocation boundaries and active slip systems. Acta Metall. Mater. 43:1995;2565-2576.
75. Miodownik M., Holm E.A. Abnormal subgrain growth. Proceedings of the First Joint International Conference on Recrystallisation and Grain Growth. vol. 1:2001;Springer-Verlag, Berlin.
76. Hughes D.A., Chrzan D.C., Liu Q., Hansen N. Scaling of misorientation angle distributions. Phys. Rev. Lett. 81:1998;4664-4667.
77. Humphreys F.J., Hatherley M. Recrystallisation and Related Annealing Phenomena. 1995;Pergamon, Londonb.
78. Weygand D., Brechet Y., Lepinoux J. Mechanisms and kinetics of recrystallisation: a two dimensional vertex dynamics simulation. Interface Sci. 9:2001;311-317.
79. Bulatov V., Abraham F.F., Kubin L.et al. Connecting atomistic and mesoscale simulations of crystal plasticity. Nature. 391:1998;669-672.