An analytical description of overall phase transformation kinetics applied to the recrystallization of pure iron / B.B. Rath in Acta materialia, Vol. 59 N° 20 (Décembre 2011)  

Public ISBD [article]  inActa materialia > Vol. 59 N° 20 (Décembre 2011) . - pp. 7538–7545 Titre : An analytical description of overall phase transformation kinetics applied to the recrystallization of pure iron Type de document : texte imprimé Auteurs : B.B. Rath, Auteur ; C. S. Pande, Auteur Année de publication : 2012 Article en page(s) : pp. 7538–7545 Note générale : Métallurgie Langues : Anglais (eng) Mots-clés : Annealing Nucleation of recrystallization Iron Kinetics Deformation structure Résumé : Experimental studies of recrystallization in deformed single crystals of pure iron are described. The results are used to analyze various parameters associated with the time evolution of the volume fraction of the growing phase during phase transformations in this system associated with the phenomena of nucleation and growth. In addition, using the experimental results, the phenomenon has been modeled by a new approach which may provide a different, and possibly more precise, description of the kinetics of the process. The proposed analytical approach uses easily measured metallographic parameters, obtained from a systematic two-dimensional surface examination, to provide a detailed description on the time dependence of nucleation, nucleation rate, growth rate and interfacial migration and compared with the classical approach based on Kolomogrov formalism. ISSN : 1359-6454 En ligne : http://www.sciencedirect.com/science/article/pii/S1359645411006641 [article] An analytical description of overall phase transformation kinetics applied to the recrystallization of pure iron [texte imprimé] / B.B. Rath, Auteur ; C. S. Pande, Auteur . - 2012 . - pp. 7538–7545. Métallurgie Langues : Anglais (eng) in Acta materialia > Vol. 59 N° 20 (Décembre 2011) . - pp. 7538–7545 Mots-clés : Annealing Nucleation of recrystallization Iron Kinetics Deformation structure Résumé : Experimental studies of recrystallization in deformed single crystals of pure iron are described. The results are used to analyze various parameters associated with the time evolution of the volume fraction of the growing phase during phase transformations in this system associated with the phenomena of nucleation and growth. In addition, using the experimental results, the phenomenon has been modeled by a new approach which may provide a different, and possibly more precise, description of the kinetics of the process. The proposed analytical approach uses easily measured metallographic parameters, obtained from a systematic two-dimensional surface examination, to provide a detailed description on the time dependence of nucleation, nucleation rate, growth rate and interfacial migration and compared with the classical approach based on Kolomogrov formalism. ISSN : 1359-6454 En ligne : http://www.sciencedirect.com/science/article/pii/S1359645411006641

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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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