Static recrystallization kinetics with homogeneous and heterogeneous nucleation using a cellular automata model

The kinetics of homogeneous and heterogeneous static recrystallization in a single-phase material were analyzed using two-dimensional (2-D) and three-dimensional (3-D) cellular automata (CA). A CA model was developed, which was then validated using the theory based on relationships developed by Johnson and Mehl, Avrami, and Kolmogorov (JMAK) for homogeneous site-saturated and constant-rate nucleation. The model was then modified for heterogeneous nucleation at grain boundaries, with either a fixed number of nuclei or a constant rate of nucleation. The fraction of boundary sites nucleated, for the case of fixed nucleation, varied from 0.006 to 0.28, resulting in Avrami exponents (k) ranging from 1.8 to 1.1 (site saturation). Site saturation with fixed nucleation produced a lamellar microstructure. The parameters of q and m, from Vandermeer’s microstructural path method, were calculated and compared with theoretical values. Constant-rate nucleation at grain boundaries between newly recrystallized grains and the unrecrystallized matrix resulted in k values of ≈1. Simulated microstructures revealed that with a low nucleation rate, recrystallized grains formed in clusters, while a high nucleation rate resulted in a necklace microstructure, with kinetics similar to those observed in dynamic recrystallization (k=1.4).

[1]  J. Jonas,et al.  Modeling the flow behavior of a medium carbon microalloyed steel under hot working conditions , 1997 .

[2]  Michael P. Anderson,et al.  Simulation and theory of abnormal grain growth: anisotropic grain boundary energies and mobilities , 1989 .

[3]  C. W. Price.  Simulations of grain impingement and recrystallization kinetics , 1987 .

[4]  C. M. Sellars,et al.  Quantitative metallography of recrystallization , 1997 .

[5]  C. Davies.  Growth of nuclei in a cellular automaton simulation of recrystallisation , 1997 .

[6]  F. Spaepen,et al.  Isoconfigurational flow of amorphous Pd82Si18 , 1979 .

[7]  R. Vandermeer,et al.  Quantifying recrystallization nucleation and growth kinetics of cold-worked copper by microstructural analysis , 1995 .

[8]  Tommaso Toffoli,et al.  Cellular Automata Machines , 1987, Complex Syst..

[9]  R. Doherty,et al.  The structure of deformed aluminium and its recrystallization—investigations with transmission Kossel diffraction , 1977 .

[10]  F. J. Humphreys,et al.  Modelling mechanisms and microstructures of recrystallisation , 1992 .

[11]  F. Haessner,et al.  Two Dimensional Simulation of the Recrystallization Kinetics in the Case of Inhomogeneous Stored Energy , 1993 .

[12]  R. Vandermeer,et al.  Modeling recystallization kinetics in a deformed iron single crystal , 1989 .

[13]  K. Mahin,et al.  Comparative analysis of the cellular and Johnson-Mehl microstructures through computer simulation , 1980 .

[14]  F. J. Humphreys.  A network model for recovery and recrystallisation , 1992 .

[15]  David J. Srolovitz,et al.  Computer simulation of recrystallization-I. Homogeneous nucleation and growth , 1986 .

[16]  J. V. Bee,et al.  The development of the “necklace” structure in a powder-produced nickel-base superalloy , 1980 .

[17]  D. G. Martin.  Computer simulation of recrystallisation and grain growth , 1994 .

[18]  M. Avrami.  Kinetics of Phase Change. I General Theory , 1939 .

[19]  David C. Dunand,et al.  The impingement effect of an inert, immobile second phase on the recrystallization of a matrix , 1994 .

[20]  K. Lu,et al.  AN EXPLANATION TO THE ANOMALOUS AVRAMI EXPONENT , 1996 .

[21]  V. Novikov,et al.  Influence of heterogeneous nucleation on microstructure and kinetics of primary recrystallization , 1995 .

[22]  R. Vandermeer,et al.  Microstructural paths of shape-preserved nucleation and growth transformations , 1991 .

[23]  R. Vandermeer.  Modeling microstructural evolution during recrystallization , 1992 .

[24]  K. Kurzydłowski,et al.  A quantitative description of recrystallization and grain growth in single phase b.c.c. iron , 1996 .

[25]  D. Juul Jensen,et al.  Modelling of microstructure development during recrystallization , 1992 .

[26]  R. Vandermeer,et al.  Characterization of a massive transformation by microstructural analysis , 1996 .

[27]  Michael P. Anderson,et al.  Computer simulation of recrystallization in non-uniformly deformed metals , 1989 .

[28]  John W. Cahn,et al.  The kinetics of grain boundary nucleated reactions , 1956 .

[29]  David J. Srolovitz,et al.  Computer simulation of grain growth—V. Abnormal grain growth , 1985 .

[30]  S. Ling,et al.  Monte Carlo simulation of grain growth and recrystallization in polycrystalline materials , 1992 .

[31]  C. Davies.  The effect of neighbourhood on the kinetics of a cellular automaton recrystallisation model , 1995 .

[32]  P. S. Sahni,et al.  Computer simulation of grain growth—I. Kinetics , 1984 .

[33]  C. W. Price.  Use of Kolmogorov-Johnson-Mehl-Avrami kinetics in recrystallization of metals and crystallization of metallic glasses , 1990 .

[34]  H. W. Hesselbarth,et al.  Simulation of recrystallization by cellular automata , 1991 .

[35]  D. Jensen.  Simulation of recrystallization microstructures and textures: Effects of preferential growth , 1997 .

[36]  C. W. Price.  Analysis of models for grain-impingement compensation and their effect on recrystallization kinetics , 1991 .

[37]  R. Vandermeer,et al.  The microstructural path of grain-boundary-nucleated phase transformations , 1992 .

[38]  W. Roberts,et al.  Dynamic recrystallization kinetics , 1979 .