The influence of different factors on physicomechanical properties of high-entropy alloys with fcc lattice

Keywords

high-entropy alloys, dimensional mismatch, enthalpy of mixing, hardness, modulus of elasticity.

Cite as

Gorban V. F., Firstov S. A., and Krapivka M. O. The influence of different factors on physicomechanical properties of high-entropy alloys with fcc lattice. Physicochemical Mechanics of Materials. 2023. 59(2), 24-29.

https://doi.org/10.15407/pcmm2023.02.024

Abstract

The effect of electron concentration, mixing enthalpy, and dimensional mismatch on the lattice parameter, elastic modulus, and normalized hardness of high-entropy alloys (HEA) is studied. The analysis shows that the lattice parameter, which determines the elastic modulus of HEA, is affected by both the electron concentration and mixing enthalpy. A rectilinear dependence of the normalized hardness of these alloys on the dimensional discrepancy is established. Based on the found regularities, formulas for calculating the hardness and elastic modulus for hard-soluble HEA with a FCC lattice are proposed.

References

1. J.-W. Yeh, S. K. Chen, S.-J. Lin, J.-Y. Gan, T.-S. Chin, T.-T. Shun, C.-H. Tsau, and S.-Y. Chang, “Nanostructured high entropy alloys with multiple principal elements: novel alloy design concepts and outcomes,” J. Adv. Eng. Mat., 6, Is. 5, 299-303 (2004). https://doi.org/10.1002/adem.200300567
2. B. Cantor, I. T. H. Chang, P. Knight, and A. J. B. Vincent, “Microstructural development in equiatomic multicomponent alloys,” Mat. Sci. and Eng.: A, 375-377, Spec. Iss. 1-2, 213-218 (2004). https://doi.org/10.1016/j.msea.2003.10.257
3. B. S. Murty, Yeh Jien-Wei, and S. Ranganathan, High Entropy Alloys, Butterworth-Heinemann Ltd (Verlag), Berlin (2014). https://doi.org/10.1016/B978-0-12-800251-3.00002-X
4. B. Cantor, “Multicomponent and high entropy alloys,” Entropy, 16, Is. 9, 4749-4768 (2014). https://doi.org/10.3390/e16094749
5. S. Guo, and C. T. Liu, “Phase stability in high entropy alloys: formation of solid solution phase or amorphous phase,” Prog. Nat. Sci. Mat. Int., 21, Is. 6, 433-446 (2011). https://doi.org/10.1016/S1002-0071(12)60080-X
6. K.B. Zhang, Z. Y. Fu, J. Y. Zhang, J. Shi, W. M. Wang, H. Wang, Y. C. Wang, and Q. J. Zhang, “Annealing on the structure and properties evolution of the CoCrFeNiCuAl high-entropy alloy,” J. Alloy Comp., 502, Is. 2, 295-299 (2010). https://doi.org/10.1016/j.jallcom.2009.11.104
7. C.-M. Lin, H.-L. Tsai, and H.-Y. Bor, “Effect of aging treatment on microstructure and properties of high-entropy Cu0.5CoCrFeNi alloy,” Intermetallics, 18, Is. 6, 1244-1250 (2010). https://doi.org/10.1016/j.intermet.2010.03.030
8. L. H. Wen, H. C. Kou, J. S. Li, H. Chang, X. Y. Xue, and L. Zhou, “Effect of aging temperature on microstructure and properties of AlCoCrCuFeNi high-entropy alloy,” Intermetallics, 17, Is. 4, 266-269 (2009). https://doi.org/10.1016/j.intermet.2008.08.012
9. Y. Zhang, and Y. Zhou, “Solid solution formation criteria for high entropy alloys,” Mat. Sci. Forum, 561-565, Is. Part 2, 1337-1339 (2007). https://doi.org/10.4028/www.scientific.net/MSF.561-565.1337
10. 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
11. D. B. Miracle, and O. N. Senkov, “A critical review of high entropy alloys and related concepts,” Acta Mat., 122, 448-511 (2017). https://doi.org/10.1016/j.actamat.2016.08.081
12. X. Yang, and Y. Zhang, “Cryogenic Resistivities of NbTiAlVTaLa$_{x}$, CoCrFeNiCu and CoCrFeNiAl High Entropy Alloys,” Adv. Mat. and Process, 51-54 (2010).
13. S.-K. Chen, and Y.-F. Kao, “Near-constant resistivity in 4.2-360 K in a B2 Al2.08CoCrFeNi,” AIP Adv., 2, Is. 1, art. no. 012111 (2012). https://doi.org/10.1063/1.3679072
14. A. V. Podolskiya, E. D. Tabachnikova, V. V. Voloschuka, V. F. Gorban, N. A. Krapivka, and S. A. Firstov, “Mechanical properties and thermally activated plasticity of the Ti30Zr25Hf15Nb20Ta10 high entropy alloy at temperatures 4.2-350 K,” Mat. Sci. and Eng.: A, 710, 136-141 (2018). https://doi.org/10.1016/j.msea.2017.10.073
15. S. T. Mileiko, S. A. Firstov, N. A. Novokhatskaya, V. F. Gorban, and N. P. Krapivka, “Oxide-fibre/high-entropy-alloy-matrix composites,” Composites Part A: Applied Science and Manufacturing, 76, art. no. 3944 (2015). https://doi.org/10.1016/j.compositesa.2015.05.023
16. T. K. Chen, T. T. Shun, J. W. Yeh, and M. S. Wong, “Nanostructured nitride films of multi-element high-entropy alloys by reactive DC sputtering,” Surf. and Coat. Techn., 188-189, Is. 1, 193-200 (2004). https://doi.org/10.1016/j.surfcoat.2004.08.023
17. C.-H. Lai, S.-J. Lin, J.-W. Yeh, and S.-Y. Chang, “Preparation and characterization of AlCrTaTiZr multi-element nitride coatings,” Surf. and Coat. Techn., 201, Is. 6, 3275-3280 (2006). https://doi.org/10.1016/j.surfcoat.2006.06.048
18. L. R. Shaginian, V. F. Gorban, N. A. Krapivka, S. A. Firstov, and I. F. Kopylov, “Properties of coatings of the Al-Cr-Fe-Co-Ni-Cu-V high entropy alloy produced by the magnetron sputtering,” J. of Superhard Mat., 38, Is. 1, 25-33 (2016). https://doi.org/10.3103/S1063457616010044
19. X. Feng, G. Tang, M. Sun, X. Ma, L. Wang, and Yukimura, “Structure and properties of multi-targets magnetron sputtered ZrNbTaTiW multi-elements alloy thin films,” J. of Superhard Mat., 228, Suppl. 1, S424-S427 (2013). https://doi.org/10.1016/j.surfcoat.2012.05.038
20. P.-K. Huang, and J.-W. Yeh, “Inhibition of grain coarsening up to 1000°C in (AlCrNbSiTiV)N superhard coatings,” Scripta Materialia, 62, Is. 2, 105-108 (2010). https://doi.org/10.1016/j.scriptamat.2009.09.015
21. P.-K. Huang, and J.-W. Yeh, “Effects of substrate bias on structure and mechanical properties of (AlCrNbSiTiV)N coatings,” J. Phys. D: Appl. Phys., 42, Is. 11, art. no. 115401 (2009). https://doi.org/10.1088/0022-3727/42/11/115401
22. S.-C. Liang, Z.-C. Chang, D.-C. Tsai, Y.-C. Lin, H.-S. Sung, M.-J. Deng, and F.-S. Shieu, “Effects of substrate temperature on the structure and mechanical properties of (TiVCrZrHf)N coatings,” Appl. Surf. Sci., 257, Is. 17, 7709-7713 (2011). https://doi.org/10.1016/j.apsusc.2011.04.014
23. S. A. Firstov, V. F. Gorban, and E. P. Pechkovsky, “New methodological opportunities of modern materials mechanical properties definition by the automatic indentation method,” Nauka I Innovatsii[in Ukrainian], 6, Is. 5, 7-18 (2010). https://doi.org/10.15407/scin6.05.07
24. L. Vegard, “The constitution of the mixed crystals and the filling of space of the atoms,” Zeitschrift fur Physik, 5, Is. 1, 17-26 (1921). https://doi.org/10.1007/BF01349680
25. 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
26. http://www.entall.imim.pl/calculator
27. 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