Rapid eutectic growth: from rod growth to diffusionless solidification-Reference-Cited by-同舟云学术

Rapid eutectic growth: from rod growth to diffusionless solidification

Published:2022-01-03 Issue:2217 Volume:380 Page:
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Galenko Peter K.¹²^ORCID,Xu Junfeng¹³^ORCID

Affiliation:

1. Otto Schott Institute of Materials Research, Friedrich-Schiller-Universität Jena, 07743, Germany

2. Laboratory of Multi-scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, 620000 Ekaterinburg, Russia

3. School of Materials and Chemical Engineering, Xi'an Technological University, 710021, People's Republic of China

Abstract

Numerous experimental data on the rapid solidification of eutectic systems exhibit the formation of metastable solid phases with the initial (nominal) chemical composition. This fact is explained by the suppression of eutectic decomposition due to diffusionless (chemically partitionless) solidification beginning at a high but finite growth velocity of crystals. In the present work, a model is suggested for the diffusionless growth to analyse the atomic diffusion in the rod eutectic couples growing into supercooled liquid. A simplified calculating method for the equation related to the Bessel function in the solution of the growth of rod eutectics is obtained. This method can also be used in the calculation of other rod eutectic growth models. This article is part of the theme issue ‘Transport phenomena in complex systems (part 2)’.

Funder

Science and Technology Program of Shaanxi Province

Foundation of Shaanxi Provincial Department of Education

German Space Center Space Management Foundation

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0305

Reference23 articles.

1. Microtexture and macrotexture formation in the containerless solidification of undercooled Ni–18.7 at.% Sn eutectic melts

2. Rapid eutectic growth of undercooled metallic alloys

3. Miroshnichenko IS. 1982 Quenching from the liquid state. Moscow, Russia: Metallurgia.

4. Diffusionless (chemically partitionless) crystallization and subsequent decomposition of supersaturated solid solutions in Sn–Bi eutectic alloy

5. Lamellar and rod eutectic growth;Jackson KA;TMS AIME,1966

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