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Journal of Materials Science
Erschienen in: Journal of Materials Science 1/2015

01.01.2015 | Original Paper

Kinetics of triple-junctions in eutectic solidification: a sharp interface model

verfasst von: Haifeng Wang, Feng Liu, D. M. Herlach

Erschienen in: Journal of Materials Science | Ausgabe 1/2015

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Abstract

The kinetics of triple-junctions (TJs) in eutectic solidification is modeled by the thermodynamic extremum principle (TEP). It consists of two parts. First, TJs as the interaction of interfaces follow the interface kinetics according to which the temperature and concentration at the TJs are determined. This interface part of TJ kinetics is closely related to the eutectic point in the kinetic phase diagram. Second, TJs have their specific kinetics according to which their morphology (e.g., the contact angles in two dimensions) is determined. Using a new solution of solute diffusion in liquid, the TJ kinetics is incorporated into the current lamellar eutectic growth model. The model is applicable to the concentrated alloy systems and can be extended to any kind of eutectics. Simulation results of the rapid solidification of a lamellar Ni5Si2–Ni2Si (γ–δ) eutectic show that both parts of TJ kinetics can play important roles in eutectic solidification and need to be considered to improve the current eutectic theory.
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Fußnoten
1
There is no experimental work on the TJ line energy for solidification up to now, although it is measurable in grain growth. For example, Zhao et al. [8, 9, 16] measured the TJ line energy in the copper tri-crystal and found that it has a considerable effect on grain growth and particle-boundary interaction.
 
2
For the SSP, the total driving free energy at the interface can be divided into the driving free energy for the interface migration and the trans-interface diffusion by moving the solid tangent at \( C_{\text{S}}^{*} \) to the liquid at \( C_{\text{L}}^{*} \) in the molar Gibbs energy diagram; see Fig. 2 in Ref. [40]. There is, however, no tangent of SC due to its concentration-independent Gibbs energy.
 
3
Due to the curvature effect, the concentration at the TJs deviates from the eutectic composition. The deviation, however, is insignificant because the interface energy is much smaller than the Gibbs energy of bulk phases. Note that the deviation of concentration at the TJs from the eutectic composition does occur for the JH-kind [24‐26] and TMK-kind [7, 28‐33] solutions, which is not because of the curvature effect and the interface part of TJ kinetics but the solutions themselves [39].
 
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Metadaten
Titel
Kinetics of triple-junctions in eutectic solidification: a sharp interface model
verfasst von
Haifeng Wang
Feng Liu
D. M. Herlach
Publikationsdatum
01.01.2015
Verlag
Springer US
Erschienen in
Journal of Materials Science / Ausgabe 1/2015
Print ISSN: 0022-2461
Elektronische ISSN: 1573-4803
DOI
https://doi.org/10.1007/s10853-014-8577-5

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