Abstract
Thermodynamic modeling of the development of non-spherical inclusions as precipitates in alloys is an important topic in computational materials science. The precipitates may have markedly different properties compared to the matrix. Both the elastic contrast and the misfit eigenstrain may yield a remarkable generation of elastic strain energy which immediately influences the kinetics of the developing precipitates. The relevant thermodynamic framework has been mostly based on spherical precipitates. However, the shapes of actual particles are often not spherical. The energetics of such precipitates can be met by adapting the spherical energy terms with shape factors. The well-established Eshelby framework is used to evaluate the elastic strain energy of inclusions with ellipsoidal shapes (described by the axes a, b, and c) that are subjected to a volumetric transformation strain. The outcome of the study is two shape factors, one for the elastic strain energy and the other for the interface energy. Both quantities are provided in the form of easy-to-use diagrams. Furthermore, threshold elastic contrasts yielding strain energy shape factors with the value 1.0 for any ellipsoidal shape are studied.
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 405-411 |
| Seitenumfang | 7 |
| Fachzeitschrift | Archive of applied mechanics |
| Jahrgang | 92.2022 |
| Ausgabenummer | ? |
| Frühes Online-Datum | 3 Jan. 2022 |
| DOIs | |
| Publikationsstatus | Veröffentlicht - Jan. 2022 |
Bibliographische Notiz
Funding Information:F.D.F. and J.S. appreciate the 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, Project A1.23.
Funding Information:
F.D.F. and J.S. appreciate the financial support by the Austrian Federal government (in particular from the Bundesministerium f?r Verkehr, Innovation and Technologie and the Bundesministerium f?r Wirtschaft und Arbeit) and the Styrian Provincial Government, represented by ?sterreichische Forschungsf?rderungsgesellschaft mbH and by Steirische Wirtschaftsf?rderungsgesellschaft 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, Project A1.23.
Funding Information:
Open access funding provided by Montanuniversität Leoben. J.S. gratefully acknowledges the financial support provided by the Ministry of Education and Sports of the Czech Republic within the research project “Architectured materials designed for additive manufacturing,” Reg. No.: CZ.02.1.01/0.0/0.0/16 025/0007304.
Publisher Copyright:
© 2021, The Author(s).