https://doi.org/10.1140/epjst/e2019-900135-3
Regular Article
Phase field analysis of the growth of fast and slow crystallites
1
Ural Federal University, Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, 620000 Ekaterinburg, Russia
2
Friedrich-Schiller-Universität Jena, Otto Schott Institute of Materials Research, 07743 Jena, Germany
3
KU Leuven, Department of Materials Engineering (MTM), 3001 Leuven, Belgium
a e-mail: nizovtseva.irina@gmail.com
Received:
12
July
2019
Received in final form:
4
September
2019
Published online:
11
February
2020
Using an advancement of a phase field model of multi-grain crystallization developed by Moelans et al., a system of governing equations describing the evolution of multiple crystals in rapidly solidifying samples is formulated. The dynamics of the moving interface is analysed, and an analytical solution in form of traveling wave is obtained for the phase field profile and its velocity.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2020
