Elsevier

Scripta Materialia

Volume 178, 15 March 2020, Pages 232-235
Scripta Materialia

Local approach for coarsening of precipitates

https://doi.org/10.1016/j.scriptamat.2019.11.029Get rights and content

Abstract

Coarsening of precipitates is very often treated by the classical Lifshitz–Slyozov–Wagner (LSW) mean-field coarsening theory. The theory provides simple evolution equations for volumes of precipitates. A new model based on application of the Thermodynamic Extremal Principle extends the LSW theory by terms accounting for mutual interaction of individual precipitates during coarsening. The model is demonstrated on an example showing that only one interaction term is dominant, which leads to a set of linear equations with a non-diagonal matrix for the rates of precipitate volumes. Of course, the set of equations must be solved numerically.

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Declaration of Competing Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Acknowledgement

Financial support by the Austrian Federal government (in particular from the Bundesministerium für Verkehr, Innovation and Technologie and the Bundesministerium für Wirtschaft und Arbeit) and the Styrian Provincial Government, represented by Österreichische Forschungsförderungsgesellschaft mbH and by Steirische Wirtschaftsförderungsgesellschaft mbH, within the research activities of the K2 Competence Centre on “Integrated Research in Materials, Processing and Product Engineering”, operated by

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