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Acta Materialia 51 (2003) 1453–1468 www.actamat-journals.com Extension of the N-model to predict competing homogeneous and heterogeneous precipitation in Al-Sc alloys J.D. Robson  , M.J. Jones  1 , P.B. Prangnell  Manchester Materials Science Centre, Grosvenor Street, Manchester M1 7HS, UK Received 22 August 2002; received in revised form 9 October 2002; accepted 28 October 2002 Abstract A model has been developed to predict the precipitation and coarsening kinetics of the Al 3 Sc phase in Al-Sc alloys. This model is based on the N-model framework of Kampmann and Wagner (KWN), extended to account for competition between heterogeneous nucleation on dislocations and homogeneous nucleation. The predictions of the model have been tested against experimental data in the literature and also new experimental results, which are reported in this paper. Both the predicted particle size distributions and the evolution of particle size with time are in good agreement with the experimental data. The model correctly predicts the transition from homogeneous to heterogeneous domination of nucleation, as the ageing temperature is increased, and has been used to investigate the nucleation behaviour in detail. TTT diagrams for the precipitation of Al 3 Sc have also been predicted for Al-Sc alloys. © 2003 Acta Materialia Inc. Published by Elsevier Science Ltd. All rights reserved. Keywords: Aluminium alloys; Nucleation of phase transformations; Phase transformation kinetics; Coarsening; Modelling 1. Intro ductio n The addition of small quantities of scandium to aluminium alloys can lead to a number of benets, including grain renement, an increase in strength and enhance d res ist anc e to recr yst allization [1]. These effects can largely be attributed to the pres- Corresponding author. Tel.:  +44-1612-00360 9; fax:  +44- 1612-003586.  E-mail address: [email protected] (J.D. Robson). 1 Now at Mate ´ riels De ´ partement, Ecole Nationale Supe ´ rieure des Mines de Saint-Etienne, 158, Cours Fauriel, 42023, Saint- Etienne Cedex 2, France 1359-6454/03/$30.00 ©  2003 Acta Materialia Inc. Published by Elsevier Science Ltd. All rights reserved. doi:10.1016/S1359-6454(02)00540-2 ence of the L1 2  Al 3 Sc trialuminide phase. For hyp- ereute ctic alloys (Sc0.4 7wt %), this for ms as a pr imary phase fr om li quid al uminium, and is a powerful grain rener [2]. For hypoeutectic alloys (wit h typi cal Sc conce nt rations 0.3wt%), the scand ium can be taken into soli d solution af ter castin g and then pre cip itated as a dis per sion of Al 3 Sc particles by a suitable ageing treatment. The L1 2  Al 3 Sc ph a se h as a l at t ic e pa r am et er of  0.4105nm [3], which is only 1.6% greater than that of the aluminium matrix. As a result of this, and the similar crystal structures of the precipitate and matrix, Al 3 Sc often precipitates homogeneously as ne , ful ly cohe rent par tic les [4, 5]. Fur the rmore,

2003-Acta Mater Al3Sc in Al-Sc Alloy

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