Journal
SCRIPTA MATERIALIA
Volume 206, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.scriptamat.2021.114226
Keywords
High-entropy alloys; Phase stability; Phase selection; Hume-Rothery rules; Atomic-size effects; Glass formation
Categories
Funding
- Heisenberg programme of the German Research Foundation (DFG) [DA 1655/2-1]
- [DA 1655/1-2]
- [SPP1713]
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The study derives the elastic energy of mixing for multi-component solid solutions by generalizing Eshelby's model and proposes that most solid solution multi-component alloys are stable when lambda* < 0.16. It also reveals that the polydispersity index delta can directly represent the elastic energy, providing support for quantitative assessments of the thermodynamic properties of high-entropy alloys.
The elastic energy of mixing for multi-component solid solutions is derived by generalizing Eshelby's sphere-in-hole model. By surveying the dependence of the elastic energy on the chemical composition and lattice misfit, we derive a lattice strain coefficient lambda*. Studying several high-entropy alloys and super alloys, we propose that most solid solution multi-component alloys are stable when lambda* < 0 . 16 , generalizing the Hume-Rothery atomic-size rule for binary alloys. We also reveal that the polydispersity index delta , frequently used for describing strain in multi-component alloys, directly represents the elastic energy (e ) with e = q delta(2) , q being an elastic constant. Furthermore, the effects of (i) the number and (ii) the atomic size distribution of constituting elements on the phase stability of high-entropy alloys were quantified. The present derivations and discussions open for richer considerations of elastic effects in high-entropy alloys, offering immediate support for quantitative assessments of their thermodynamic properties and studying related strengthening mechanisms. (C) 2021 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
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