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On the Phase Configurational Entropy of Dual-Phase γ/γ′ Multi-principal Element Alloys: A Case Study on the Al–Cu–Fe–Ni–Ti System

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Abstract

Configurational entropy is an important indicator of the formability of single solid solutions in multi-principal element alloys, typically estimated by using nominal compositions. However, nearly half of reported alloys consist of multiple phases rather than a single solid solution, leading to the redistribution of components among the constituent phases. In the present work, we evaluated the configurational entropy of constituent phases and the phase fraction-weighted configurational entropy in dual-phase γ/γ′ multi-principal element alloys within the Al–Cu–Fe–Ni–Ti quinary system. Two alloys, with the highest configurational entropy in either γ or γ′ phase, respectively, were selected by employing the high-throughput CALPHAD method and fabricated. It was found that the configurational entropies of constituent γ and γ′ phases, as well as the phase fraction-weighted value being lower than that of the nominal composition. The thermodynamic constraint of phase equilibria determines the elemental partitioning of the components in the constituent phases for multi-phase high-entropy alloys.

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References

  1. J.W. Yeh, S.K. Chen, S.J. Lin, J.Y. Gan, T.S. Chin, T.T. Shun, C.H. Tsau, S.Y. Chang, Adv. Eng. Mater. 6, 299–303 (2004). https://doi.org/10.1002/adem.200300567

    Article  CAS  Google Scholar 

  2. B. Cantor, I. Chang, P. Knight, A. Vincent, Mater. Sci. Eng. A 375, 213–218 (2004). https://doi.org/10.1016/j.msea.2003.10.257

    Article  CAS  Google Scholar 

  3. O. Senkov, J. Miller, D. Miracle, C. Woodward, Nat. Commun. 6, 6529 (2015). https://doi.org/10.1038/ncomms7529

    Article  CAS  PubMed  Google Scholar 

  4. M.-H. Tsai, J.-W. Yeh, Mater. Res. Lett. 2, 107–123 (2014). https://doi.org/10.1080/21663831.2014.912690

    Article  CAS  Google Scholar 

  5. D.B. Miracle, O.N. Senkov, Acta Mater. 122, 448–511 (2017). https://doi.org/10.1016/j.actamat.2016.08.081

    Article  CAS  Google Scholar 

  6. Y. Jien-Wei, Ann. Chim. Sci. Mater. 31, 633–648 (2006). https://doi.org/10.3166/acsm.31.633-648

    Article  Google Scholar 

  7. X. Yang, Y. Zhang, Mater. Chem. Phys. 132, 233–238 (2012). https://doi.org/10.1016/j.matchemphys.2011.11.021

    Article  CAS  Google Scholar 

  8. Y. Lu, Y. Dong, S. Guo, L. Jiang, H. Kang, T. Wang, B. Wen, Z. Wang, J. Jie, Z. Cao, Sci. Rep. 4, 1–5 (2014). https://doi.org/10.1038/srep06200

    Article  CAS  Google Scholar 

  9. T.-K. Tsao, A.-C. Yeh, C.-M. Kuo, K. Kakehi, H. Murakami, J.-W. Yeh, S.-R. Jian, Sci. Rep. 7, 12658 (2017). https://doi.org/10.1038/s41598-017-13026-7

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  10. Y.-T. Chen, Y.-J. Chang, H. Murakami, S. Gorsse, A.-C. Yeh, Scripta Mater. 187, 177–182 (2020). https://doi.org/10.1016/j.scriptamat.2020.06.002

    Article  CAS  Google Scholar 

  11. O.N. Senkov, D. Isheim, D.N. Seidman, A.L. Pilchak, Entropy 18, 102 (2016). https://doi.org/10.3390/e18030102

    Article  CAS  Google Scholar 

  12. D.B. Miracle, M.-H. Tsai, O.N. Senkov, V. Soni, R. Banerjee, Scripta Mater. 187, 445–452 (2020). https://doi.org/10.1016/j.scriptamat.2020.06.048

    Article  CAS  Google Scholar 

  13. S.-Y. Yen, H. Murakami, S.-K. Lin, J. Alloys Compd. 952, 170027 (2023). https://doi.org/10.1016/j.jallcom.2023.170027

    Article  CAS  Google Scholar 

  14. S. Gorsse, M. Nguyen, O.N. Senkov, D.B. Miracle, Data Brief 21, 2664–2678 (2018). https://doi.org/10.1016/j.dib.2018.11.111

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  15. N. Saunders, A.P. Miodownik, CALPHAD (Calculation of Phase Diagrams): A Comprehensive Guide (Elsevier, Amsterdam, 1998)

    Google Scholar 

  16. B. Sundman, H. Lukas, S. Fries, Computational Thermodynamics: The Calphad Method (Cambridge University Press, Cambridge, 2007)

    Google Scholar 

  17. S. Yang, J. Lu, F. **ng, L. Zhang, Y. Zhong, Acta Mater. 192, 11–19 (2020). https://doi.org/10.1016/j.actamat.2020.03.039

    Article  CAS  Google Scholar 

  18. Y.-C. Liu, S.-Y. Yen, S.-H. Chu, S.-K. Lin, M.-H. Tsai, Mater. Today Commun. 26, 102096 (2021). https://doi.org/10.1016/j.mtcomm.2021.102096

    Article  CAS  Google Scholar 

  19. W. Cao, S.L. Chen, F. Zhang, K. Wu, Y. Yang, Y. Chang, R. Schmid-Fetzer, W. Oates, Calphad 33, 328–342 (2009)

    Article  CAS  Google Scholar 

  20. E. Chauvet, P. Kontis, E.A. Jägle, B. Gault, D. Raabe, C. Tassin, J.-J. Blandin, R. Dendievel, B. Vayre, S. Abed, Acta Mater. 142, 82–94 (2018). https://doi.org/10.1016/j.actamat.2017.09.047

    Article  CAS  Google Scholar 

  21. M. Wenderoth, R. Völkl, T. Yokokawa, Y. Yamabe-Mitarai, H. Harada, Scripta Mater. 54, 275–279 (2006). https://doi.org/10.1016/j.scriptamat.2005.09.017

    Article  CAS  Google Scholar 

  22. Y. Ro, Y. Koizumi, H. Harada, Mater. Sci. Eng. A 223, 59–63 (1997). https://doi.org/10.1016/S0921-5093(96)10504-9

    Article  Google Scholar 

  23. T. Murakumo, T. Kobayashi, Y. Koizumi, H. Harada, Acta Mater. 52, 3737–3744 (2004). https://doi.org/10.1016/j.actamat.2004.04.028

    Article  CAS  Google Scholar 

  24. D. Pope, S.S. Ezz, Int. Metals Rev. 29, 136–167 (1984). https://doi.org/10.1179/imtr.1984.29.1.136

    Article  CAS  Google Scholar 

  25. M. Hillert, Phase Equilibria, Phase Diagrams and Phase Transformations: Their Thermodynamic basis (Cambridge University Press, Cambridge, 2007)

    Book  Google Scholar 

  26. R.C. Reed, The Superalloys: Fundamentals and Applications (Cambridge University Press, Cambridge, 2008)

    Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge the financial supports from the National Science and Technology Council (NSTC) in Taiwan (Grant Nos. 112-2628-E-006-019, 112-2622-8-006-020, and 112-2923-E-006-004). This work was also partially supported by the Hierarchical Green-Energy Materials (Hi-GEM) Research Center, from The Featured Areas Research Center Program within the framework of the Higher Education Sprout Project by the Ministry of Education (MOE) in Taiwan. The authors gratefully acknowledge to Ms. Mei-Lan Liang and Ms. Shih-Wen Tseng from Core Facility Center, National Cheng Kung University for DB-FIB and Cs-corrected TEM/STEM analyses.

Funding

Funding was provided by National Science and Technology Council (Grant Nos. 112-2628-E-006-019, 112-2622-8-006-020, 112-2923-E-006-004).

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Authors and Affiliations

  1. Department of Materials Science and Engineering, National Cheng Kung University, Tainan, 70101, Taiwan

    Shao-yu Yen, Hao-che Wang & Shih-kang Lin

  2. Hierarchical Green-Energy Materials (Hi-GEM) Research Center, National Cheng Kung University, Tainan, 70101, Taiwan

    Shih-kang Lin

  3. Program On Smart and Sustainable Manufacturing, Academy of Innovative Semiconductor and Sustainable Manufacturing, National Cheng Kung University, Tainan, 70101, Taiwan

    Shih-kang Lin

  4. Core Facility Center, National Cheng Kung University, Tainan, 70101, Taiwan

    Shih-kang Lin

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  1. Shao-yu Yen
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Contributions

Shao-yu Yen: methodology, software, validation, and writing—original draft. Hao-che Wang: software and investigation. Shih-kang Lin: conceptualization, resources, writing—review & editing, funding acquisition, and supervision.

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Correspondence to Shih-kang Lin.

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Yen, Sy., Wang, Hc. & Lin, Sk. On the Phase Configurational Entropy of Dual-Phase γ/γ′ Multi-principal Element Alloys: A Case Study on the Al–Cu–Fe–Ni–Ti System. High Entropy Alloys & Materials (2024). https://doi.org/10.1007/s44210-024-00037-z

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