A curvature-driven vertex model for two-dimensional grain growth

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 neighbou...

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Veröffentlicht in:	Philosophical magazine letters 1995-12, Vol.72 (6), p.429-434
Hauptverfasser:	Marsh, S. P., Masumura, R. A., Pande, C. S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Cross-disciplinary physics: materials science rheology Exact sciences and technology Materials science Methods of crystal growth physics of crystal growth Nonequilibrium and irreversible thermodynamics Physics Statistical physics, thermodynamics, and nonlinear dynamical systems Theory and models of crystal growth physics of crystal growth, crystal morphology and orientation Thermodynamics
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Beschreibung
Zusammenfassung:	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.
ISSN:	0950-0839 1362-3036
DOI:	10.1080/09500839508242484