EFFECT OF ANISOTROPIC SURFACE TENSION ON THE MORPHOLOGICAL STABILITY OF DEEP CELLULAR CRYSTAL GROWTH IN DIRECTIONAL SOLIDIFICATION

Han Jiang, Ming-Wen Chen () and Zi-Dong Wang
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Han Jiang: School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, P. R. China
Ming-Wen Chen: #x2020;School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, P. R. China
Zi-Dong Wang: #x2021;School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, P. R. China

Surface Review and Letters (SRL), 2019, vol. 26, issue 06, 1-13

Abstract: This paper studies the effect of anisotropic surface tension on the morphological stability of deep cellular crystal in directional solidification by using the matched asymptotic expansion method and multiple variable expansion method. We find that the morphological stability of deep cellular crystal growth with anisotropic surface tension shows the same mechanism as that with isotropic surface tension. The deep cellular crystal growth contains two types of global instability mechanisms: the global oscillatory instability, whose neutral modes yield strong oscillatory dendritic structures, and the low-frequency instability, whose neutral modes yield weakly oscillatory cellular structures. Anisotropic surface tension has the significant effect on the two global instability mechanisms. As the anisotropic surface tension increases, the unstable domain of global oscillatory instability decreases, whereas the unstable domain of the global low-frequency instability increases.

Keywords: Crystal morphology; directional solidification; interfaces; morphological stability (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S0218625X18502104

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