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Self-similar distributions for 2-d grain growth

โœ Scribed by P.R. Rios; M.E. Glicksman


Book ID
113895162
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
290 KB
Volume
51
Category
Article
ISSN
1359-6462

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Polyhedral model for self-similar grain
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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

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Consideration of the physics and topology of two-dimensional grain growth suggests that a stochastic treatment is required to determine grain size distribution [Pande CS. Acta Metall 1987;35:2671]. In this paper, a size-based continuum stochastic formulation is presented based on topological conside