Self-similar grain size distribution in three dimensions / C. S. Pande in Acta materialia, Vol. 58 N° 3 (Fevrier 2010)  

Public ISBD [article]  inActa materialia > Vol. 58 N° 3 (Fevrier 2010) . - pp. 1037-1044 Titre : Self-similar grain size distribution in three dimensions : a stochastic treatment Type de document : texte imprimé Auteurs : C. S. Pande, Auteur ; G. B. McFadden, Auteur Article en page(s) : pp. 1037-1044 Note générale : Métallurgie Langues : Anglais (eng) Mots-clés : Grain growth Modelling Theory Index. décimale : 669 Métallurgie Résumé : In this paper, a stochastic formulation of three-dimensional grain growth is presented. This formulation employs the recent extension of the von Neumann law to three dimensions, and leads to a Fokker–Planck equation for the size distribution. The self-similar solutions of the Fokker–Planck equation presented here are based on the assumption of quasi-stationary distributions reached in the long time limit. The resulting grain size distributions, obtained both numerically and analytically, are shown to be in good agreement with each other and also with those obtained from computer simulations, indicating the validity of the stochastic approach. DEWEY : 669 ISSN : 1359-6454 En ligne : http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235556%23 [...] [article] Self-similar grain size distribution in three dimensions : a stochastic treatment [texte imprimé] / C. S. Pande, Auteur ; G. B. McFadden, Auteur . - pp. 1037-1044. Métallurgie Langues : Anglais (eng) in Acta materialia > Vol. 58 N° 3 (Fevrier 2010) . - pp. 1037-1044 Mots-clés : Grain growth Modelling Theory Index. décimale : 669 Métallurgie Résumé : In this paper, a stochastic formulation of three-dimensional grain growth is presented. This formulation employs the recent extension of the von Neumann law to three dimensions, and leads to a Fokker–Planck equation for the size distribution. The self-similar solutions of the Fokker–Planck equation presented here are based on the assumption of quasi-stationary distributions reached in the long time limit. The resulting grain size distributions, obtained both numerically and analytically, are shown to be in good agreement with each other and also with those obtained from computer simulations, indicating the validity of the stochastic approach. DEWEY : 669 ISSN : 1359-6454 En ligne : http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235556%23 [...]

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Self-similar grain size distribution in three dimensions: A stochastic treatment / C. S. Pande in Acta materialia, Vol. 58 N° 3 (Fevrier 2010)  

Public ISBD [article]  inActa materialia > Vol. 58 N° 3 (Fevrier 2010) . - pp. 1037–1044 Titre : Self-similar grain size distribution in three dimensions: A stochastic treatment Type de document : texte imprimé Auteurs : C. S. Pande, Auteur ; G. B. McFadden, Auteur Année de publication : 2011 Article en page(s) : pp. 1037–1044 Note générale : Métallurgie Langues : Anglais (eng) Mots-clés : Grain growth Modelling Theory Résumé : In this paper, a stochastic formulation of three-dimensional grain growth is presented. This formulation employs the recent extension of the von Neumann law to three dimensions, and leads to a Fokker–Planck equation for the size distribution. The self-similar solutions of the Fokker–Planck equation presented here are based on the assumption of quasi-stationary distributions reached in the long time limit. The resulting grain size distributions, obtained both numerically and analytically, are shown to be in good agreement with each other and also with those obtained from computer simulations, indicating the validity of the stochastic approach. DEWEY : 669 ISSN : 1359-6454 En ligne : http://www.sciencedirect.com/science/article/pii/S1359645409007095 [article] Self-similar grain size distribution in three dimensions: A stochastic treatment [texte imprimé] / C. S. Pande, Auteur ; G. B. McFadden, Auteur . - 2011 . - pp. 1037–1044. Métallurgie Langues : Anglais (eng) in Acta materialia > Vol. 58 N° 3 (Fevrier 2010) . - pp. 1037–1044 Mots-clés : Grain growth Modelling Theory Résumé : In this paper, a stochastic formulation of three-dimensional grain growth is presented. This formulation employs the recent extension of the von Neumann law to three dimensions, and leads to a Fokker–Planck equation for the size distribution. The self-similar solutions of the Fokker–Planck equation presented here are based on the assumption of quasi-stationary distributions reached in the long time limit. The resulting grain size distributions, obtained both numerically and analytically, are shown to be in good agreement with each other and also with those obtained from computer simulations, indicating the validity of the stochastic approach. DEWEY : 669 ISSN : 1359-6454 En ligne : http://www.sciencedirect.com/science/article/pii/S1359645409007095

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