Polyhedral model for self-similar grain growth

✍ Scribed by P.R. Rios; M.E. Glicksman

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 244 KB
• Volume: 56
• Category: Article
• ISSN: 1359-6454
• DOI: 10.1016/j.actamat.2007.11.010

✦ Synopsis

The distribution of the number of faces per grain may be extracted routinely from grain simulations and experimental observations of three-dimensional (3-D) reconstructions. However, the only theoretical face number distribution available is the recent reassessment of Hillert's distribution [Rios PR, Glicksman ME. Acta Mater 2007;55:1565]. The theoretical face distribution derived in that paper, however, provides an inadequate representation of 3-D grain-face data. We derive a new grain-face distribution by using topological relationships based on average N-hedra, and find an improved agreement with simulations based on surface Evolver computations published by Wakai and co-workers. Transformation of the grain-face distribution also provides a satisfactory representation of the grain-size distribution. The present approach, using a polyhedral model for the grain network, adds topological information to the kinetics of grain network evolution, including its influence on metrical parameters such as grain vertex separation.