| Issue |
MATEC Web Conf.
Volume 129, 2017
International Conference on Modern Trends in Manufacturing Technologies and Equipment (ICMTMTE 2017)
|
|
|---|---|---|
| Article Number | 02035 | |
| Number of page(s) | 4 | |
| Section | Advanced Materials and Coatings | |
| DOI | https://doi.org/10.1051/matecconf/201712902035 | |
| Published online | 07 November 2017 | |
Simulation of crystalline pattern formation by the MPFC method
1
Ural Federal University, Laboratory of Multi-Scale Mathematical Modeling, 620002, Ekaterinburg, Russia
2
Udmurt State University,Universitetskaya str. 1, building 4, 426034, Izhevsk, Russia
3
Friedrich-Schiller-Universität Jena, Physikalisch-Astronomische Fakultät, D-07743 Jena, Germany
* Corresponding author: ilya.starodumov@urfu.ru
The Phase Field Crystal model in hyperbolic formulation (modified PFC or MPFC), is investigated as one of the most promising techniques for modeling the formation of crystal patterns. MPFC is a convenient and fundamentally based description linking nano-and meso-scale processes in the evolution of crystal structures. The presented model is a powerful tool for mathematical modeling of the various operations in manufacturing. Among them is the definition of process conditions for the production of metal castings with predetermined properties, the prediction of defects in the crystal structure during casting, the evaluation of quality of special coatings, and others. Our paper presents the structure diagram which was calculated for the one-mode MPFC model and compared to the results of numerical simulation for the fast phase transitions. The diagram is verified by the numerical simulation and also strongly correlates to the previously calculated diagrams. The computations have been performed using software based on the effective parallel computational algorithm.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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