posted on 2017-11-03, 09:31authored byBalint Korbuly, Tamas Pusztai, Gyula TothGyula Toth, Herve Henry, Mathis Plapp, Laszlo Granasy
We compare two versions of the phase-field theory for polycrystalline solidification, both relying on the concept of orientation
fields: one by Kobayashi et al. [Physica D 140 (2000) 141] and the other by Henry et al. [Phys. Rev. B 86 (2012) 054117]. Setting
the model parameters so that the grain boundary energies and the time scale of grain growth are comparable in the two models, we
first study the grain coarsening process including the limiting grain size distribution, and compare the results to those from experiments
on thin films, to the models of Hillert, and Mullins, and to predictions by multiphase-field theories. Next, following earlier
work by Gránásy et al. [Phys. Rev. Lett. 88 (2002) 206105; Phys. Rev. E 72 (2005) 011605], we extend the orientation field to the
liquid state, where the orientation field is made to fluctuate in time and space, and employ the model for describing of multi-dendritic
solidification, and polycrystalline growth, including the formation of “dizzy” dendrites disordered via the interaction with foreign
particles.
Funding
This work has been supported by the Hungarian-French Bilateral Scientific and Technological Innovation Fund under
Grant No. TÉT_12_FR-2-2014-0034; the
National Agency for Research, Development, and Innovation (NKFIH) , Hungary under contract No. OTKA-K-115959; and by the
EU FP7 Collaborative Project “EXOMET” (contract no. NMP-LA-2012-280421, co-funded by ESA).
History
School
Science
Department
Mathematical Sciences
Published in
Journal of Crystal Growth
Volume
457
Pages
32 - 37
Citation
KORBULY, B. ...et al., 2017. Orientation-field models for polycrystalline solidification: grain coarsening and complex growth forms. Journal of Crystal Growth, 457, pp. 32-37.
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
Publication date
2017
Notes
This paper was accepted for publication in the journal Journal of Crystal Growth and the definitive published version is available at https://doi.org/10.1016/j.jcrysgro.2016.06.040