Simulation of recrystallization based on EBSD data using a modified Monte Carlo model that considers anisotropic effects in cold-rolled ultra-thin grain-oriented silicon steel

Abstract

A Monte Carlo Potts model was developed to simulate the recrystallization process of a cold-rolled ultra-thin grain-oriented silicon steel. The orientation and image quality data from electron backscatter diffraction measurements were used as input information for simulation. Three types of nucleation mechanisms, namely, random nucleation, high-stored-energy site nucleation (HSEN), and high-angle boundary nucleation (HABN), were considered for simulation. In particular, the nucleation and growth behaviors of Goss-oriented ({011}<100>) grains were investigated. Results showed that Goss grains had a nucleation advantage in HSEN and HABN. The amount of Goss grains was the highest according to HABN, and it matched the experimental measurement. However, Goss grains lacked a size advantage across all mechanisms during the recrystallization process.

Keywords

ultra-thin grain-oriented silicon steel / Monte Carlo simulation / recrystallization / nucleation / grain growth / Goss grain

References

[1] Mishra S, Därmann C, Lücke K. On the development of the goss texture in iron-3% silicon. Acta Metall., 1984, 32(12): 2185.

[2] Arai KI, Ishiyama K. Rolled texture and magnetic properties of 3% silicon steel. J. Appl. Phys., 1988, 64(10): 5352.

[3] Kubota T. Recent progress on non-oriented silicon steel. Steel Res. Int., 2005, 76(6): 464.

[4] Gao XH, Qi KM, Qiu CL. Magnetic properties of grain oriented ultra-thin silicon steel sheets processed by conventional rolling and cross shear rolling. Mater. Sci. Eng. A, 2006, 430(1–2): 138.

[5] Song HY, Liu HT, Wang YP, Wang GD. Microstructure and texture evolution of ultra-thin grain-oriented silicon steel sheet fabricated using strip casting and three-stage cold rolling method. J. Magn. Magn. Mater., 2017, 426, 32.

[6] Dorner D, Zaefferer S, Raabe D. Retention of the Goss orientation between microbands during cold rolling of an Fe-3% Si single crystal. Acta Mater., 2007, 55(7): 2519.

[7] Park JT, Szpunar JA. Evolution of recrystallization texture in nonoriented electrical steel. Acta Mater., 2003, 51(11): 3037.

[8] Humphreys FJ, Hatherly M. Recrystallization and Related Annealing Phenomena, 2004, 2nd ed., Oxford, Netherlands, Elsevier

[9] Srolovitz DJ, Grest GS, Anderson MP. Computer simulation of recrystallization-I. Homogeneous nucleation and growth. Acta Metall., 1986, 34(9): 1833.

[10] Liu Y, Baudin T, Penelle R. Simulation of normal grain growth by cellular automata. Scripta Mater., 1996, 34(11): 1679.

[11] Krill CE III Chen LQ. Computer simulation of 3-D grain growth using a phase-field model. Acta Mater., 2002, 50(12): 3059.

[12] Raabe D, Becker RC. Coupling of a crystal plasticity finite-element model with a probabilistic cellular automaton for simulating primary static recrystallization in aluminium. Modell. Simul. Mater. Sci. Eng., 2000, 8(4): 445.

[13] Fan DN, Chen LQ. Diffusion-controlled grain growth in two-phase solids. Acta Mater., 1997, 45(8): 3297.

[14] Xin DQ, He CX, Gong XH, Wang H, Meng L, Ma G, Hou PF, Zhang WK. Monte Carlo study on abnormal growth of Goss grains in Fe-3%Si steel induced by second-phase particles. Inter. J. Miner. Metall. Mater., 2016, 23(12): 1397.

[15] Chun YB, Semiatin SL, Hwang SK. Monte Carlo modeling of microstructure evolution during the static recrystallization of cold-rolled, commercial-purity titanium. Acta Mater., 2006, 54(14): 3673.

[16] Solas DE, Tomé CN, Engler O, Wenk HR. Deformation and recrystallization of hexagonal metals: Modeling and experimental results for zinc. Acta Mater., 2001, 49(18): 3791.

[17] Doherty RD, Hughes DA, Humphreys FJ, Jonas JJ, Jensen DJ, Kassner ME, King WE, McNelley TR, McQueen HJ, Rollett AD. Current issues in recrystallization: A review. Mater. Sci. Eng. A, 1997, 238(2): 219.

[18] Kang JY, Bacroix B, Réglé H, Oh KH, Lee HC. Effect of deformation mode and grain orientation on misorientation development in a body-centered cubic steel. Acta Mater., 2007, 55(15): 4935.

[19] Rajmohan N, Hayakawa Y, Szpunar JA, Root JH. Neutron diffraction method for stored energy measurement in interstitial free steel. Acta Mater., 1997, 45(6): 2485.

[20] Srolovitz DJ, Grest GS, Anderson MP, Rollett AD. Computer simulation of recrystallization-II. Heterogeneous nucleation and growth. Acta Metall., 1988, 36(8): 2115.

[21] Humphreys FJ. Nucleation in recrystallization. Mater. Sci. Forum, 2004, 467–470(1): 107.

[22] Read WT, Shockley W. Dislocation models of crystal grain boundary. Phys. Rev., 1950, 78(3): 275.

[23] Beck PA, Sperry PR. Strain induced grain boundary migration in high purity aluminum. J. Appl. Phys., 1950, 21(2): 150.

[24] Lin F, Godfrey A, Miodownik MA, Liu Q. Monte Carlo modeling of cube texture evolution in Ni-tapes during grain growth. Mater. Sci. Forum, 2004, 467–470, 1075.

[25] Rollett AD, Srolovitz DJ, Doherty RD, Anderson MP. Computer simulation of recrystallization in non-uniformly deformed metals. Acta Metall., 1989, 37(2): 627.