Cellular Automata Simulation of the Effect of Nuclei Distribution on the Recrystallization Kinetics

Abstract

Analytical modeling of recrystallization considers two arrangements of nuclei: a) random, b) “periodic”. If nucleation departs from these extremes, no exact analytical treatment is available. When classical Johnson-Mehl, Avrami, Kolmogorov approach is used there is often the doubt whether the nucleation is truly random. Therefore, it would be of some interest to assess to what extent the exact analytical theory is valid if the nucleation departs from randomness. In this work, recrystallization is simulated using cellular automata in two dimensions in order to investigate the effect of nuclei distribution on the kinetics. Simulations are carried out for nuclei distribution ranging from periodic to random. The effect of departure from the exact analytical solutions is assessed by means of the overall kinetics and the microstructural path.

Cellular automata simulation of site-saturated and constant nucleation rate transformations in three dimensions

“…So, CA simulations should check this. This is rarely reported in published papers on this subject [17][18][19][20][21][22][23][24][25][26][27][28][29][30] .…”

“…In this regard, computer simulation of microstructural evolution can be an invaluable tool since it can simulate situations beyond analytical treatment. Compared to other simulation methods, cellular automata [17][18][19][20][21][22][23][24][25][26][27][28][29][30] is a convenient choice for phase transformations in general and recrystallization in particular 23 . Computer simulation aims at describing transformation in complex situations for which there is no analytical theory.…”

Simulation of recrystallization in iron single crystals

“…Therefore, it is not surprising that CA is the choice of many researchers simulating recrystallization, including Gottstein 17,18 and Raabe 19,20 and many others [21][22][23][24][25][26] . We too have published a series of papers using CA simulations 15,[27][28][29][30][31] . In those papers CA simulation was shown to be geometrically sound in 2-d 28 and 3-d 30 by comparing the results with exact analytical theory available for recrystallization of randomly located nuclei.…”

“…In those papers CA simulation was shown to be geometrically sound in 2-d 28 and 3-d 30 by comparing the results with exact analytical theory available for recrystallization of randomly located nuclei. Moreover, we also used CA simulations to study the influence of non-randomness of nuclei distribution 15,27,29,31 . Nevertheless, our studies lacked direct comparison of CA simulation to experimental data, as is provided here.…”

Inhomogeneous Poisson point process nucleation: comparison of analytical solution with cellular automata simulation

“…In previous papers [18][19][20][21][22][23][24] , cellular automata (CA) simulation of phase transformation/recrystallization in 2-d and 3-d were carried out and compared with KJMA analytical solutions. The purpose of the present paper is to simulate phase transformations/recrystallization in by cellular automata (CA) in order to compare the simulation with the analytical solution by Rios and Villa.…”