Abstract
High and medium entropy alloys (HEAs and MEAs) exhibit superior resistance to irradiation damage: there is thus great incentive to study uranium-based HEAs and MEAs. These materials could potentially be suitable candidates for use as nuclear fuels where severe irradiation regimes prevail. In the present study, the ability to predict single phase regions in the quaternary system, Mo–Nb–U–Zr, using thermodynamic calculations was demonstrated and proven experimentally. Similarly to other known bcc HEAs systems, the bcc phase in the present MEA system was shown to exhibit high yield strength but also brittleness. It was also shown that a single phase in the MEA system, Mo–Nb–U–Zr, could be obtained only for compositions containing no more than 10 at% of Mo.
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References
T. Yang, S. Xia, S. Liu, C. Wang, S. Liu, Y. Fang, Y. Zhang, J. Xue, S. Yan, Y. Wang, Precipitation behavior of AlxCoCrFeNi high entropy alloys under ion irradiation. Sci. Rep. 6, 32146 (2016). https://doi.org/10.1038/srep32146
S. Xia, M.C. Gao, T. Yang, P.K. Liaw, Y. Zhang, Phase stability and microstructures of high entropy alloys ion irradiated to high doses. J. Nucl. Mater. 480, 100–108 (2016). https://doi.org/10.1016/j.jnucmat.2016.08.017
M. Aizenshtein, Z. Ungarish, K. Woller, S. Hayun, M.P. Short, Mechanical and microstructural response of the Al0.5CoCrFeNi high entropy alloy to Si and Ni ion irradiation. J. Nucl. Mater. Energ. 25, 100813 (2020). https://doi.org/10.1016/j.nme.2020.100813
M. Aizenshtein, E. Brosh, Z. Ungarish, S. Levi, M. Tubul, D. Fadel, E. Greenberg, S. Hayun, High entropy uranium-based alloys: thermodynamics, characterization and mechanical properties. J. Nucl. Mater. 558, 153378 (2022). https://doi.org/10.1016/j.jnucmat.2021.153378
J.-W. Yeh, S.-K. Chen, S.-J. Lin, J.-Y. Gan, T.-S. Chin, T.-T. Shun, C.-H. Tsau, S.-Y. Chang, Nanostructured high-entropy alloys with multiple principal elements: novel alloy design concepts and outcomes. Adv. Eng. Mater. 6, 299–303 (2004). https://doi.org/10.1002/adem.200300567
J.W. Yeh, Recent progress in high-entropy alloys. Eur. J. Control. 31, 633–648 (2006). https://doi.org/10.3166/acsm.31.633-648
C. Zhang, M.C. Gao, CALPHAD modeling of high-entropy alloys, in High-Entropy Alloys: Fundamentals and Applications, ed. by M.C. Gao, J.-W. Yeh, P.K. Liaw, Y. Zhang (Springer, Cham, 2016), pp. 399–444
Y. Zhou, D. Zhou, X. Jin, L. Zhang, X. Du, B. Li, Design of non-equiatomic medium-entropy alloys. Sci. Rep. 8, 1236 (2018). https://doi.org/10.1038/s41598-018-19449-0
Y. Lu, Q.Q. Tang, C.P. Wang, Z.S. Li, Y.H. Guo, X.J. Liu, The application of CALPHAD calculations to uranium -based metallic nuclear fuels. J. Phase Equilib. Diffus. 39, 714–723 (2018). https://doi.org/10.1007/s11669-018-0677-5
H. Zhang, Y. Du, Z. Shen, P. Zhou, Y. Peng, S. Liu, Y. Kong, V.B. Rajkumar, Thermodynamic modeling and solidified microstructure in the Mo–Nb–Zr ternary system. Calphad 66, 101630 (2019). https://doi.org/10.1016/j.calphad.2019.101630
P. Zhou, Y. Peng, Y. Du, L. Zhang, W. Mo, T. Fa, B. Bai, X. Wang, Thermodynamic modeling of the U–Nb–Zr ternary system. J. Nucl. Mater. 523, 157–171 (2019). https://doi.org/10.1016/j.jnucmat.2019.05.045
Y. Lu, X.J. Chen, Q. He, Y.H. Guo, X.J. Liu, C.P. Wang, Thermodynamic assessments of the U–Nb–Mo and U–Nb–Cr ternary systems. Calphad 73, 102260 (2021). https://doi.org/10.1016/j.calphad.2021.102260
J.-O. Andersson, T. Helander, L. Hoglund, P.F. Shi, B. Sundman, Thermo-Calc and DICTRA, computational tools for materials science. Calphad 26, 273–312 (2002). https://doi.org/10.1016/S0364-5916(02)00037-8
X. Mao, J. Takahashi, Development of a further miniaturized specimen of 3 mm diameter for TEM disk small punch tests. J. Nucl. Mater. 150, 42–52 (1987). https://doi.org/10.1016/0022-3115(87)90092-4
D.E. Burkes, R. Prabhakaran, J.F. Jue, F.J. Rice, Mechanical Properties of DU-xMo Alloys with x = 7 to 12 Weight Percent. Metall. Mater. Trans. A 40, 1069–1079 (2009). https://doi.org/10.1007/s11661-009-9805-5
H.W. Yao, J.W. Qiao, J.A. Hawk, H.F. Zhou, M.W. Chen, M.C. Gao, Mechanical properties of refractory high-entropy alloys: experiments and modeling. J. Alloy. Compd. 696, 1139–1150 (2017). https://doi.org/10.1016/j.jallcom.2016.11.188
G. Lin, R. Guo, X. Shi, L. Han, J. Qiao, Lightweight multiprincipal element alloys with excellent mechanical properties at room and cryogenic temperatures. Entropy 24, 1777 (2022). https://doi.org/10.3390/e24121777
J.C. Slater, Atomic radii in crystals. J. Chem. Phys. 41, 3199–3204 (1964). https://doi.org/10.1063/1.1725697
S. Zalkind, O. Sabag, I. Makover, S. Haroush, Influence of carbon on the tensile properties of U-0.1w%Cr. J. Mater. Sci. Lett. 21, 551–553 (2002). https://doi.org/10.1023/A:1015461022009
H. Yang, J. Shen, Y. Matsukawa, Y. Satoh, S. Kano, Z. Zhao, Y. Li, F. Li, H. Abe, Effects of alloying elements (Sn, Nb, Cr, and Mo) on the microstructure and mechanical properties of zirconium alloys. J. Nucl. Sci. Technol. 52, 1162–1173 (2015). https://doi.org/10.1080/00223131.2014.996622
P.E. Armstrong, D.T. Eash, J.E. Hockett, Elastic moduli of alpha, beta and gamma polycrystalline uranium. J. Nucl. Mater. 45, 211–216 (1972). https://doi.org/10.1016/0022-3115(72)90167-5
H.E. Rosinger, D.O. Northwood, The elastic properties of zirconium fuel cladding and pressure tubing materials. J. Nucl. Mater. 79, 170–179 (1979). https://doi.org/10.1016/0022-3115(79)90444-6
W. Zhang, Y. Li, P.K. Liaw, Y. Zhang, A strategic design route to find a depleted uranium high-entropy alloy with great strength. Metals 12, 699 (2022). https://doi.org/10.3390/met12040699
S. Sheikh, S. Shafeie, Q. Hu, J. Ahlstrom, C. Persson, J. Vesely, J. Zyka, U. Klement, S. Guo, Alloy design for intrinsically ductile refractory high-entropy alloys. J. Appl. Phys. 120, 164902 (2016). https://doi.org/10.1063/1.4966659
L. Qi, D.C. Chrzan, Tuning ideal tensile strengths and intrinsic ductility of BCC refractory alloys. Phys. Rev. Lett. 112, 115503 (2014). https://doi.org/10.1103/PhysRevLett.112.115503
H.A. Jahn, E. Teller, Stability of polyatomic molecules in degenerate electronic states - I—Orbital degeneracy. Proc. R. Soc. Lond. 161, 220–235 (1937). https://doi.org/10.1098/rspa.1937.0142
Q. Li, H. Zhang, D. Li, Z. Chen, Z. Qi, The effect of configurational entropy on mechanical properties of single BCC structural refractory high-entropy alloys systems. Int. J. Refract. Met. Hard Mater. 93, 105370 (2020). https://doi.org/10.1016/j.ijrmhm.2020.105370
O.N. Senkov, G.B. Wilks, J.M. Scott, D.B. Miracle, Mechanical properties of Nb25Mo25Ta25W25 and V20Nb20Mo20Ta20W20 refractory high entropy alloys. Intermetallics 19, 698–706 (2011). https://doi.org/10.1016/j.intermet.2011.01.004
Acknowledgements
The authors would like to thank Mr. Ofer Omasi and Mr. Shahar Ochaion of the Materials Department at NRCN for their valuable technical assistance.
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Aizenshtein, M., Brosh, E., Silhov, S. et al. Single Phase Medium Entropy U-Based Alloys: Thermodynamics, Synthesis, and Mechanical Behavior. Met. Mater. Int. 29, 3655–3663 (2023). https://doi.org/10.1007/s12540-023-01469-9
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DOI: https://doi.org/10.1007/s12540-023-01469-9