Mathematical Modeling of Crystallization of Binary Alloys

In the mathematical modeling of the crystallization process, the results of a numerical experiment were used, in which a banded structure of the initial stage of the process was discovered, the mechanism of which is diffusion stratification. Qualitatively, this is consistent with the natural experiment. In the terminology of G.I. Barenblatt, the process is related to flow of the transformed state in the initial stage of crystallization before the formation of the dendritic structure. The universality of the principles of mathematical modeling and the relationship between critical processes of destruction, sintering of materials, and crystallization of binary alloys based on their physical commonality is shown.

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Publication Details

Journal
Journal of Machinery Manufacture and Reliability
Published
2026-02-01
DOI
https://doi.org/10.1134/s1052618825701559
Primary Topic
Solidification and crystal growth phenomena
Type
article
Field-Weighted Citation Impact
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article

Mathematical Modeling of Crystallization of Binary Alloys

O. A. Vasil’eva, E. V. Radkevich, A. V. Ragutkin, M. E. Stavrovskii et al.
Journal of Machinery Manufacture and Reliability
Solidification and crystal growth phenomena
article

Mathematical Modeling of Crystallization of Binary Alloys

O. A. Vasil’eva, E. V. Radkevich, A. V. Ragutkin, M. E. Stavrovskii, I. N. Kravchenko, M. I. Sidorov
article en

Abstract

In the mathematical modeling of the crystallization process, the results of a numerical experiment were used, in which a banded structure of the initial stage of the process was discovered, the mechanism of which is diffusion stratification. Qualitatively, this is consistent with the natural experiment. In the terminology of G.I. Barenblatt, the process is related to flow of the transformed state in the initial stage of crystallization before the formation of the dendritic structure. The universality of the principles of mathematical modeling and the relationship between critical processes of destruction, sintering of materials, and crystallization of binary alloys based on their physical commonality is shown.

Journal of Machinery Manufacture and ReliabilityVol. 55(1)
Bauman Moscow State Technical University (RU), Lomonosov Moscow State University (RU), Moscow State University of Civil Engineering (RU), MIREA - Russian Technological University (RU), Mechanical Engineering Research Institute of the Russian Academy of Sciences (RU)
Sustainable cities and communities
Openalex Percentile: Top 51%
Solidification and crystal growth phenomena
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