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Phase-field modeling of polycrystalline solidification, from needle crystals to spherulites: a review
journal contributionposted on 2017-11-06, 11:42 authored by Laszlo Granasy, Laszlo Ratkai, Attila Szallas, Balint Korbuly, Gyula TothGyula Toth, Laszlo Kornyei, Tamas Pusztai
Advances in the orientation-field-based phase-field (PF) models made in the past are reviewed. The models applied incorporate homogeneous and heterogeneous nucleation of growth centers and several mechanisms to form new grains at the perimeter of growing crystals, a phenomenon termed growth front nucleation. Examples for PF modeling of such complex polycrystalline structures are shown as impinging symmetric dendrites, polycrystalline growth forms (ranging from disordered dendrites to spherulitic patterns), and various eutectic structures, including spiraling two-phase dendrites. Simulations exploring possible control of solidification patterns in thin films via external fields, confined geometry, particle additives, scratching/piercing the films, etc. are also displayed. Advantages, problems, and possible solutions associated with quantitative PF simulations are discussed briefly.
This review includes techniques developed in the framework of the EU FP7 Collaborative Project 'EXOMET' (Contract No. NMP-LA-2012-280421, co-funded by ESA) and ESA MAP/PECS projects 'MAGNEPHAS III' (Contract No. 4000105034/11/NL/KML) and 'GRADECET' (Contract No. 4000104330/11/NL/KML).
- Mathematical Sciences