A curvature-driven vertex model for two-dimensional grain growth
- 1 December 1995
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine Letters
- Vol. 72 (6) , 429-434
- https://doi.org/10.1080/09500839508242484
Abstract
A new vertex-based model of two-dimensional grain growth is presented. The motion of each vertex is determined by the curvature-driven motions of the adjacent boundaries. Boundary curvatures are approximated by a geometrical construction that is fully specified by the locations of the three neighbouring vertices. Simulations based on this model exhibit parabolic growth kinetics for the grain aggregate, and the Mullins-von Neumann growth law is obtained for individual grains.Keywords
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