期刊
ACTA MATERIALIA
卷 79, 期 -, 页码 304-314出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.actamat.2014.05.042
关键词
Coarsening; Ostwald ripening; Multicomponent; Theory and modelling; Non-zero volume fraction of precipitates
资金
- Austrian Federal Government
- Austrian Federal Government from the Bundesministerium fur Verkehr, Innovation und Technologie
- Austrian Federal Government from Bundesministerium fur Wirtschaft und Arbeit
- Styrian Provincial Government [A1.17]
The coarsening of precipitates in a matrix with a non-zero volume fraction is treated by assuming that the exchange of matter between the precipitates occurs by diffusion in the matrix within finite zones surrounding the precipitates. The thermodynamic extremal principle is used for the derivation of evolution equations for the precipitate radii. Accordingly, non-steady-state and steady-state distribution functions are deduced, depending on the system parameter characterizing the finite diffusion zones. The distribution functions tend exactly to the established Lifshitz-Slyozov-Wagner distribution for a zero volume fraction of the precipitates. The steady-state distribution functions are expressed by means of distinct volume-fraction-dependent parameters, which are presented by analytical expressions and in diagrams. To treat non-steady-state systems, ensembles of up to 10(6) precipitates can easily be handled by standard computational methods. (C) 2014 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
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