An analytical model for constitutional supercooling-driven grain formation and grain size prediction / M. Qian in Acta materialia, Vol. 58 N° 9 (Mai 2010)  

Public ISBD [article]  inActa materialia > Vol. 58 N° 9 (Mai 2010) . - pp. 3262–3270 Titre : An analytical model for constitutional supercooling-driven grain formation and grain size prediction Type de document : texte imprimé Auteurs : M. Qian, Auteur ; P. Cao, Auteur ; M.A. Easton, Auteur Année de publication : 2011 Article en page(s) : pp. 3262–3270 Note générale : Métallurgie Langues : Anglais (eng) Mots-clés : Undercooling solidification Heterogeneous nucleation Grain growth refining Résumé : Being able to predict the grain formation process and attendant grain size has been a central topic in solidification. Such an analytical model is presented for constitutional supercooling (CS)-driven grain formation with several simplifications. The model links the nucleation of new grains to the growth of a larger neighbouring grain. The average grain size (View the MathML source) is thus determined by two components: the minimum growth (rcs) necessary to establish sufficient CS (ΔTn) for nucleating new grains, and the spatial mean distance (View the MathML source) to the most potent available nucleants. Both spherical and planar growth fronts are considered, covering growth curvatures from small to infinite. Two distinct fundamental approaches are used, which result in identical descriptions of View the MathML source, where View the MathML source (D is the diffusion coefficient, v is the growth velocity, Q is the growth restriction factor). The model is compared with literature data produced under various conditions and demonstrated on aluminium alloys as an example. DEWEY : 669 ISSN : 1359-6454 En ligne : http://www.sciencedirect.com/science/article/pii/S1359645410000820 [article] An analytical model for constitutional supercooling-driven grain formation and grain size prediction [texte imprimé] / M. Qian, Auteur ; P. Cao, Auteur ; M.A. Easton, Auteur . - 2011 . - pp. 3262–3270. Métallurgie Langues : Anglais (eng) in Acta materialia > Vol. 58 N° 9 (Mai 2010) . - pp. 3262–3270 Mots-clés : Undercooling solidification Heterogeneous nucleation Grain growth refining Résumé : Being able to predict the grain formation process and attendant grain size has been a central topic in solidification. Such an analytical model is presented for constitutional supercooling (CS)-driven grain formation with several simplifications. The model links the nucleation of new grains to the growth of a larger neighbouring grain. The average grain size (View the MathML source) is thus determined by two components: the minimum growth (rcs) necessary to establish sufficient CS (ΔTn) for nucleating new grains, and the spatial mean distance (View the MathML source) to the most potent available nucleants. Both spherical and planar growth fronts are considered, covering growth curvatures from small to infinite. Two distinct fundamental approaches are used, which result in identical descriptions of View the MathML source, where View the MathML source (D is the diffusion coefficient, v is the growth velocity, Q is the growth restriction factor). The model is compared with literature data produced under various conditions and demonstrated on aluminium alloys as an example. DEWEY : 669 ISSN : 1359-6454 En ligne : http://www.sciencedirect.com/science/article/pii/S1359645410000820

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