An analytical model for constitutional supercooling-driven grain formation and grain size prediction

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dc.contributor.author Qian, M en
dc.contributor.author Cao, Peng en
dc.contributor.author Easton, MA en
dc.contributor.author McDonald, MD en
dc.contributor.author StJohn, DH en
dc.date.accessioned 2011-12-16T02:29:15Z en
dc.date.issued 2010 en
dc.identifier.citation Acta Materialia 58(9):3262-3270 2010 en
dc.identifier.issn 1359-6454 en
dc.identifier.uri http://hdl.handle.net/2292/10121 en
dc.description.abstract 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 () 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 () 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 , where (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. en
dc.publisher Acta Materialia Inc. Elsevier Ltd. en
dc.relation.ispartofseries Acta Materialia en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.sherpa.ac.uk/romeo/issn/1359-6454/ en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.title An analytical model for constitutional supercooling-driven grain formation and grain size prediction en
dc.type Journal Article en
dc.identifier.doi 10.1016/j.actamat.2010.01.052 en
pubs.issue 9 en
pubs.begin-page 3262 en
pubs.volume 58 en
dc.rights.holder Copyright: Acta Materialia Inc.; Elsevier Ltd. en
pubs.end-page 3270 en
dc.rights.accessrights http://purl.org/eprint/accessRights/RestrictedAccess en
pubs.subtype Article en
pubs.elements-id 102422 en
pubs.org-id Engineering en
pubs.org-id Chemical and Materials Eng en
pubs.record-created-at-source-date 2010-09-01 en


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