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The Influence of Different Factors on Physicomechanical Properties of High Entropy Alloys with fcc Lattice

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Materials Science Aims and scope

The influence of electron concentration, mixing enthalpy, and dimensional mismatch on the lattice parameter, elastic modulus, and normalized hardness of fcc high-entropy alloys (HEA) is studied. The lattice parameter, which determines the elastic modulus of HEA, is influenced by both the electron concentration and the mixing enthalpy. A rectilinear dependence of the normalized hardness of these alloys on the dimensional discrepancy is established. Formulas for calculating the hardness and the elastic modulus for hard-soluble HEA with fcc lattice are proposed.

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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, 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).

    Google Scholar 

  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

  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

  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/10.4028/0-87849-462-6.1337

  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

    Article  Google Scholar 

  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); https://doi.org/10.1142/9789814322799_0012

  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).

    Google Scholar 

  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).

    Google Scholar 

  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

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Correspondence to V. F. Gorban.

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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 59, No. 2, pp. 24–29, March–April, 2023.

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Gorban, V.F., Firstov, S.A. & Krapivka, M.O. The Influence of Different Factors on Physicomechanical Properties of High Entropy Alloys with fcc Lattice. Mater Sci 59, 145–151 (2023). https://doi.org/10.1007/s11003-024-00755-0

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