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On the analytical solution for self-similar grain size distributions in two dimensions

โœ Scribed by C.S. Pande; K.P. Cooper

Book ID
108049198
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
189 KB
Volume
59
Category
Article
ISSN
1359-6454

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๐Ÿ“œ SIMILAR VOLUMES

Self-similar grain size distribution in
Self-similar grain size distribution in two dimensions: Analytical solution
โœ C.S. Pande; K.P. Cooper ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 375 KB

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

Grain size distribution in two dimension
Grain size distribution in two dimensions in the long time limit
โœ C.S. Pande; K.P. Cooper; G.B. McFadden ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 279 KB

It is shown that the inclusion of a ''noise" term in the growth rate of individual grains leads to a stochastic model that provides a more realistic description of grain growth phenomenon. The resulting Fokker-Planck equation for the grain size distribution is solved numerically due to the difficult