Some aspects which deny a use of 2d cellular automata for modeling of recrystallization

Dmitry S. Svyetlichnyy

AGH University of Science and Technology, Faculty of Metals Engineering and Industrial Computer Science,.

DOI:

https://doi.org/10.7494/cmms.2007.1.0139

Abstract:

The main reason why the two-dimensional cellular automata (2D CA) are preferred to the three-dimensional (3D) ones is time of calculations. A number of cells in the 2D CA is the second power of space size, while in the 3D CA it is the third power. It pertains to a number of neighboring cells as well. Then the cost of the 3D calculation is higher than that of the 2D calculation more than the space size of the CA. It means that simulation in the 3D CA of the linear size of 100 cells demands more calculations than 100 simulations in the 2D CA of the same size. The CA is used for modeling of crystallization, recrystallization, phase transformation, crack propagation, micro-shear band and shear band propagation. But can the 2D CA hold up a mirror to the real process? In the paper some aspects of the using of the 2D CA for the recrystallization are considered. Four main problems, which can be solved or at least can be accounted, are dealt with here. Those are kinetics of the recrystallization, a nucleation, a grain growth rate and deformation of grains. Some of the problem can be solved for the static recrystallization but not for the dynamic one. Some proposals and recommendation are included in the paper.

Cite as:

Svyetlichnyy, D., (2007). Some aspects which deny a use of 2d cellular automata for modeling of recrystallization. Computer Methods in Materials Science, 7(1), 175 – 181. https://doi.org/10.7494/cmms.2007.1.0139

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