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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2024, Volume 9, Issue 4, Pages 689–702
DOI: https://doi.org/10.47475/2500-0101-2024-9-4-689-702
(Mi chfmj414)
 

Physics

Study of the motion of the grain boundaries ensemble in pure aluminum at high temperatures by cellular automata and machine learning methods

E. V. Fomin

Chelyabinsk State University, Chelyabinsk, Russia
References:
Abstract: The motion of grain boundary (GB) ensemble in pure aluminum under annealing conditions at temperature 630 K is investigated by cellular automata (CA) method. Here, the CA method predetermines the computational grid following the grain boundary motion and grain growth. The motion of the GB is defined through mobility, energy and curvature of the boundary. The curvature of the GBs is measured by the Height Function method. The kinetics of the grain boundary ensemble is shown using the conventional Reed — Shockley function and neural network surrogate functions to determine the energy of grain boundaries.
Keywords: motion of grain boundaries, recrystallization, cellular automata method, neural networks.
Funding agency Grant number
Russian Science Foundation 22-71-00090
The work is supported by the Russian Scientific Foundation grant (project № 22-71-00090).
Received: 14.05.2024
Revised: 28.08.2024
Document Type: Article
UDC: 539.5
Language: English
Citation: E. V. Fomin, “Study of the motion of the grain boundaries ensemble in pure aluminum at high temperatures by cellular automata and machine learning methods”, Chelyab. Fiz.-Mat. Zh., 9:4 (2024), 689–702
Citation in format AMSBIB
\Bibitem{Fom24}
\by E.~V.~Fomin
\paper Study of the motion of the grain boundaries ensemble in pure aluminum at high temperatures by cellular automata and machine learning methods
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2024
\vol 9
\issue 4
\pages 689--702
\mathnet{http://mi.mathnet.ru/chfmj414}
\crossref{https://doi.org/10.47475/2500-0101-2024-9-4-689-702}
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