E. V. Radkevich, A. V. Ragutkin, O. A. Vasil’eva, M. E. Stavrovskii, M. I. Sidorov, I. N. Kravchenko
{"title":"Mathematical Modeling of Crystallization of Binary Alloys","authors":"E. V. Radkevich, A. V. Ragutkin, O. A. Vasil’eva, M. E. Stavrovskii, M. I. Sidorov, I. N. Kravchenko","doi":"10.1134/S1052618825701559","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":642,"journal":{"name":"Journal of Machinery Manufacture and Reliability","volume":"55 1","pages":"1 - 10"},"PeriodicalIF":0.3000,"publicationDate":"2026-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Machinery Manufacture and Reliability","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1052618825701559","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
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.
期刊介绍：
Journal of Machinery Manufacture and Reliability is devoted to advances in machine design; CAD/CAM; experimental mechanics of machines, machine life expectancy, and reliability studies; machine dynamics and kinematics; vibration, acoustics, and stress/strain; wear resistance engineering; real-time machine operation diagnostics; robotic systems; new materials and manufacturing processes, and other topics.
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