Formation conditions and properties of high-entropy alloys creating the σ-phase

Keywords

high-entropy alloys, σ-phase, mixing enthalpy, hardness, elastic modulus.

Cite as

Gorban’ V. F., Krapivka M. O., and Myslyvchenko O. М. Formation conditions and properties of high-entropy alloys creating the σ-phase. Physicochemical Mechanics of Materials. 2023. 59(6), 118-123.

https://doi.org/10.15407/pcmm2023.06.118

Abstract

High-entropy alloys (HEA) based on the renewal of elements of the V–IХ groups of the Periodic Table, which are capable of forming s-phase with each other, are studied. The formation of the σ-phase in the range of electronic concentration of 6.7…8 el/at was monitored. The effect of electron concentration on the content of the s-phase in HEA containing elements forming the σ-phase in a two-component system is shown. The conditions for the formation of a single-phase structure of the σ-phase during crystallization of multicomponent HEA are determined. The limits of the existence of a 100% high-entropy phase are established and the influence of lattice parameters on their properties is revealed. A decrease in the size of the parameter c and a of the σ-phase leads to an increase in both the hardness and modulus of elasticity of alloys with a single-phase structure of the high-entropy σ-phase.

References

1. B. S. Murty, S. Ranganathan, J. W. Yeh, and P. P. Bhattacharjee, High-entropy alloys, Elsevier Inc. (2019). https://doi.org/10.1016/B978-0-12-816067-1.00002-3
2. B. Cantor, “Multicomponent and high entropy alloys,” Entropy, 16, Is. 9, 4749-4768 (2014). https://doi.org/10.3390/e16094749
3. S. Ranganathan, “Alloyed pleasures: multimetallic cocktails,” Current Sci., 85, No. 10, 1404-1406 (2003).
4. H. S. Kim, and S. Praveen, “High-entropy alloys: potential candidates for high-temperature applications,” Adv. Eng. Mater., 20, Is. 1, art. no. 1700645 (2017). https://doi.org/10.1002/adem.201700645
5. J. W. Yeh, “Recent progress in high-entropy alloys,” Annales de Chimie Science des Materiaux (Paris), 31, Is. 6, 633-648 (2006). https://doi.org/10.3166/acsm.31.633-648
6. J. Chen, X. Zhou, W. Wang, B. Liu, Y. Lv, W. Yang, D. Xu, and Y. Liu, “A review of fundamental of high entropy alloys with promising high-temperature properties,” J. Alloy Compd., 760, 15-30 (2018). https://doi.org/10.1016/j.jallcom.2018.05.067
7. O. N. Senkov, G. B. Wilks, D. B. Miracle, C. P. Chuang, and P. K. Liaw, “Refractory high-entropy alloys,” Intermetallics, 18, Is. 9, 1758-1765 (2010). https://doi.org/10.1016/j.intermet.2010.05.014
8. Z. Wu, H. Bei, G. M. Pharr, and E. P. George, “Temperature dependence of the mechanical properties of equiatomic solid solution alloys with face-centered cubic crystal structures,” Acta Mater., 81, 428-441 (2014). https://doi.org/10.1016/j.actamat.2014.08.026
9. S. A. Firstov, V. F. Gorban’, N. A. Krapivka, M. V. Karpets, and A. D. Kostenko, “Wear resistance of high-entropy alloys,” Powder Metall. Met. Ceram., 56, 158-164 (2017). https://doi.org/10.1007/s11106-017-9882-8
10. D.-Ch. Tsai, F.-Sh. Shieu, Sh.-Y. Chang, H.-Ch. Yao, and M.-J. Deng, “Structures and characterizations of TiVCr and TiVCrZrY films deposited by magnetron sputtering under different bias powers,” J. Electrochem. Soc., 157, Is. 3. K52-K58 (2010). https://doi.org/10.1149/1.3285047
11. P.-K. Huang, and Ji.-W. Yeh, “Inhibition of grain coarsening up to 1000 C in (AlCrNbSiTiV)N superhard сoatings,” Scr. Mat., 62, Is. 2, 105-108 (2010). https://doi.org/10.1016/j.scriptamat.2009.09.015
12. M. Braic, V. Braic, M. Balaceanu, C.N. Zoita, A. Vladescu, E. Grigore, “Characteristics of (TiAlCrNbY)C films deposited by reactive magnetron sputtering,” Surf. and Coat. Techn., 204, Iss. 12-13, 2010-2014 (2010). https://doi.org/10.1016/j.surfcoat.2009.10.049
13. V. F. Gorban’, R. A. Shaginyan, N. A. Krapivka, S. A. Firstov, N. I. Danilenko, and I. V. Serdyuk, “Superhard Vacuum Coatings Based on High-Entropy Alloys,” Powder Metall. Met. Ceram., 54, 725-730 (2016). https://doi.org/10.1007/s11106-016-9767-2
14. M.-I. Lin, M.-H. Tsai, W.-J. Shen, and J.-W. Yeh, “Evolution of structure and properties of multi-component (AlCrTaTiZr)Ox films,” Thin Solid Films., 518, Is. 10, 2732-2737 (2010). https://doi.org/10.1016/j.tsf.2009.10.142
15. V. F. Gorban’, L. R. Shaginyan, S. A. Firstov, M. V. Karpets, and N. I. Danilenko, “High-entropy coatings – structure and properties,” J. of Superhard Mater., 40, 88-101 (2018). https://doi.org/10.3103/S106345761802003X
16. T.-T. Shun, and Yu-C. Du, “Microstructure and tensile behaviors of FCC Al0.3CoCrFeNi high entropy alloy,” J. Alloy Compd., 479, Iss. 1-2, 157-160 (2009). https://doi.org/10.1016/j.jallcom.2008.12.088
17. S. Guo, and C. T. Liu, “Phase stability in high entropy alloys: formation of solid-solution phase or amorphous phase,” Prog. Nat. Sci.: Mater. Int., 21, Is. 6, 433-446 (2011). https://doi.org/10.1016/S1002-0071(12)60080-X
18. V. F. Gorban, M. O. Krapivka, S. O. Firstov, and D. V. Kurylenko, “The role of mixing enthalpy in the formation of physical and mechanical properties of hard-soluble high-entropy alloys,” In Еlectron microscopy and strength of materials (2019), pp. 8-16.
19. F. Otto, Y. Yang, H. Bei, and E. P. George, “Relative effects of enthalpy and entropy on the phase stability of equiatomic high-entropy alloys,” Acta Mater., 61, 2628-2636 (2013). https://doi.org/10.1016/j.actamat.2013.01.042
20. X. Shi, G. Li, M. Zhang, H. Xu, and Z. Li, “Laves phase assisted the passive behaviors of Co-free non-equiatomic CrFe-Ni-Nb eutectic high-entropy alloys,” J. of Alloys and Comp., 960, art. no. 170905 (2023). https://doi.org/10.1016/j.jallcom.2023.170905
21. B. X. Cao, H.J. Kong, Z.Y. Ding, S.W. Wu, J.H. Luan, Z.B. Jiao, J. Lu, C.T. Liu, T. Yang, “A novel L12-strengthened multicomponent Co-rich high-entropy alloy with both high γ′-solvus temperature and superior high-temperature strength,” Scr. Mater., 199, art. no. 113826 (2021). https://doi.org/10.1016/j.scriptamat.2021.113826
22. C. S. Barrett, and T. B. Massalski, Structure of Metals: Crystallographic Methods, Principles and Data, Pergamon, Oxford (1980).
23. Y. J. Zhou, Y. Zhang, Y. L. Wang, and G. L. Chen, “Microstructure characterization of Al-x(TiVCrMnFeCoNiCu)(100-x) high-entropy alloy system with multi-principal elements,” Rare Metal Mater. Eng., 36, Is. 12, 2136-2139 (2007).
24. M.-R. Chen, S.-J. Lin, J.-W. Yeh, S.-K. Chen, Y.-S. Huang, and M.-H. Chuang, “Effect of vanadium addition on the microstructure, hardness, and wear resistance of Al0.5CoCrCuFeNi high-entropy alloy,” Metall. Mater. Trans. A, 37, Is. 5, 1363-1369 (2006). https://doi.org/10.1007/s11661-006-0081-3
25. V. F. Gorban, S. O. Firstov, M. O. Krapivka, A. V. Samelyuk, and D. V. Kurylenko, “Influence of various factors on the properties of solid-soluble high-entropy alloys based on BCC and FCC phases,” Mater. Sci., 58, No. 1, 135-140 (2022). https://doi.org/10.1007/s11003-022-00641-7
26. S. A. Firstov, V. F. Gorban, and Ye. P. Pechkovskyi, “New methodological possibilities for determining the mechanical properties of modern materials by automatic indentation,” Nauka ta Innovatsii [in Ukrainian], 6, Is. 5, 7-18 (2010). https://doi.org/10.15407/scin6.05.07
27. A. R. Miedema, P. F. de Châtel, and F. R. de Boer, “Cohesion in alloys – fundamentals of a semi-empirical model,” Physica B+C, 100, Is. 1, 1-28 (1980). https://doi.org/10.1016/0378-4363(80)90054-6
28. http://www.entall.imim.pl/calculator/
29. M.-H. Tsai, H. Yuan, G. Cheng, W. Xu, W. W. Jian, M.-H. Chuang, C.-C. Juan, A.-C. Yeh, S.-J. Lin, and Y. Zhu, “Significant hardening due to the formation of a sigma phase matrix in a high entropy alloy,” Intermetallics, 33, 81-86 (2013). https://doi.org/10.1016/j.intermet.2012.09.022
30. V. F. Gorban, A. A. Andreev, A. M. Chikryzhov, M. V. Karpets, N. A. Krapivka, D. V. Kovteba, A. A. Ostroverkh, A. V. Kanzir, and A. V. Samelyuk, “The phase composition and mechanical properties of vacuum coatings produced from equiatomic CrFeCoNiMn alloy,” Powder Metall. Met. Ceram., 58, Is. 1-2, 58-63 (2019). https://doi.org/10.1007/s11106-019-00047-2