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Phase-field modeling of eutectic structures on the nanoscale: the effect of anisotropy

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Abstract

A simple phase-field model is used to address anisotropic eutectic freezing on the nanoscale in two (2D) and three dimensions (3D). Comparing parameter-free simulations with experiments, it is demonstrated that the employed model can be made quantitative for Ag–Cu. Next, we explore the effect of material properties and the conditions of freezing on the eutectic pattern. We find that the anisotropies of kinetic coefficient and the interfacial free energies (solid–liquid and solid–solid), the crystal misorientation relative to pulling, the lateral temperature gradient play essential roles in determining the eutectic pattern. Finally, we explore eutectic morphologies, which form when one of the solid phases are faceted, and investigate cases, in which the kinetic anisotropy for the two solid phases is drastically different.

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Acknowledgements

This work has been supported by the National Agency for Research, Development, and Innovation (NKFIH), Hungary under contract OTKA-K-115959, and by the EU FP7 EU FP7 projects “ENSEMBLE” (Grant Agreement NMP4-SL-2008-213669) and “EXOMET” (contract No. NMP-LA-2012-280421, co-funded by ESA).

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Authors and Affiliations

  1. Wigner Research Centre for Physics, P.O.Box 49, Budapest, 1525, Hungary

    László Rátkai, Gyula I. Tóth, Tamás Pusztai & László Gránásy

  2. Department of Physics and Technology, University of Bergen, Allégaten 55, 7005, Bergen, Norway

    Gyula I. Tóth

  3. Department of Mathematics and Computational Sciences, Széchenyi István University, Győr, 9026, Hungary

    László Környei

  4. Brunel Centre for Advanced Solidification Technology, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK

    László Gránásy

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  1. László Rátkai
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  2. Gyula I. Tóth
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  3. László Környei
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  4. Tamás Pusztai
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  5. László Gránásy
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Correspondence to László Rátkai or László Gránásy.

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Rátkai, L., Tóth, G.I., Környei, L. et al. Phase-field modeling of eutectic structures on the nanoscale: the effect of anisotropy. J Mater Sci 52, 5544–5558 (2017). https://doi.org/10.1007/s10853-017-0853-8

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  • DOI: https://doi.org/10.1007/s10853-017-0853-8

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