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.
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 232-235 |
| Seitenumfang | 4 |
| Fachzeitschrift | Scripta materialia |
| Jahrgang | 178.2020 |
| Ausgabenummer | 15 March |
| Frühes Online-Datum | 25 Nov. 2019 |
| DOIs | |
| Publikationsstatus | Veröffentlicht - 15 März 2020 |
Bibliographische Notiz
Funding Information: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 the Materials Center Leoben Forschung GmbH in the framework of the Austrian COMET Competence Centre Programme, Projects A1.23 and A2.32, is gratefully acknowledged. J.S. gratefully acknowledges the financial support by the Czech Science Foundation in the frame of the Project 17-01641S .
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