Preview

Nanosystems: Physics, Chemistry, Mathematics

Advanced search

Elastic and mechanical properties of Ti–Nb–Zr based alloys

https://doi.org/10.17586/2220-8054-2026-17-2-204-209

Abstract

The elastic properties and mechanical characteristics of Ti–Nb22–Zr6 based alloys were calculated using the exact muffin-tin orbital method with the coherent potential approximation. Alloying by metals such as Hf, Mg and their combination were considered, and their concentration did not exceed 5 at.%. It was shown that addition of Hf and Mg leads to a decrease in Young’s modulus due to both size effect and electronic factor. The calculated Young’s modulus for the ternary Ti–Nb22–Zr6 alloy (70.1 GPa) is found in good agreement with experimental one (70 GPa). The smallest value of Young’s modulus was calculated for the Ti–Nb22–Zr6–Hf5–Mg2.5 alloy, achieving 57 GPa. Further increase in Mg concentration leads to a negative C′ and alloy destabilization. Additionally, alloying of the Ti–Nb22–Zr6 alloy results in a decrease in hardness, fracture toughness, but brittleness index is increased.

About the Authors

A. V. Bakulin
Institute of Strength Physics and Materials Science, Siberian Branch of Russian Academy of Sciences
Russian Federation

Alexander V. Bakulin 

Tomsk, 634055 



S. E. Kulkova
Institute of Strength Physics and Materials Science, Siberian Branch of Russian Academy of Sciences
Russian Federation

Svetlana E. Kulkova 

Tomsk, 634055 



References

1. Niinomi M. Mechanical properties of biomedical titanium alloys. Mater. Sci. Eng. A, 1998, 243, P. 231-236.

2. Long M., Rack H.J. Titanium alloys in total joint replacement – a materials science perspective. Biomater., 1998, 19, P. 1621–1639.

3. Geetha M., Singh A.K., Asokamani R., Gogia A.K. Ti based biomaterials, the ultimate choice for orthopaedic implants – A review. Prog. Mater. Sci., 2009, 54, P. 397–425.

4. Niinomi M. Mechanical biocompatibilities of titanium alloys for biomedical applications. J. Mech. Behav. Biomed. Mater., 2008, 1, P. 30–42.

5. Yu Z. Titanium alloys for biomedical development and applications. Design, microstructure, properties, and application. Elsevier, Amsterdam, 2022, 245 p.

6. Biesiekierski A., Wang J., Gepreel M.A.H., Wen C. A new look at biomedical Ti-based shape memory alloys, Acta Biomater., 2012, 8, P. 1661– 1669.

7. Illarionov A.G., Nezhdanov A.G., Stepanov S.I., Muller-Kamskii G., Popov A.A. Structure, phase composition, and mechanical properties of biocompatible titanium alloys of different types. Phys. Met. Metall., 2020, 121, P. 367–373.

8. Li Y., Yang C., Zhao H., Qu S., Li X., Li Y. New developments of Ti-based alloys for biomedical applications. Materials, 2014, 7, P. 1709–1800.

9. Marker C., Shang S.L., Zhao J.C., Liu Z.K. Effects of alloying elements on the elastic properties of bcc Ti-X alloys from first-principles calculations. Comput. Mater. Sci., 2018, 142, P. 215–226.

10. Yao Q., Sun J., Xing H., Guo W. Influence of Nb and Mo contents on phase stability and elastic property of β-type Ti-X alloys. Trans. Nonferrous Met. Soc. China., 2007, 17, P. 1417–1421.

11. Zunger A., Wei S.H., Ferreira L.G., Bernard J.E. Special quasirandom structures. Phys. Rev. Lett., 1990, 65, P. 353–356.

12. Vitos L. Computational quantum mechanics for materials engineers. The EMTO method and applications. Springer, London, 2007, 238 p.

13. Dubinskiy S., Baranova A., Markova G., Prokoshkin S., Zelenina A., Kolotova L., Starikov S., Korotitskiy A., Bazlov A., Brailovski V. Atypical intrinsic elinvar behavior of beta Ti-22Nb-6Zr alloy in high and wide temperature range: atomic mechanism and control of the effect. Trans. Nonferrous Met. Soc. China, 2026, in press.

14. Hill R. The elastic behaviour of a crystalline aggregate. Proc. Phys. Soc., Sect. A, 1952, 65, P. 349–354.

15. Jiang X., Zhao J., Wu A., Bai Y., Jiang X. Mechanical and electronic properties of B12-based ternary crystals of orthorhombic phase. J. Phys.: Condens. Matter., 2010, 22, 315503.

16. Lee C.M., Ju C.P., Chern Linn J.H. Structure-property relationship of cast Ti–Nb alloys. J. Oral Rehabil., 2002, 29, P. 314–322.

17. Fikeni L. Microstructural evolution and its influence on mechanical properties of Ti–Nb binary alloys. University of Pretoria, Pretoria, 2021, 95 p.

18. Niu H., Niu S., Oganov A.R. Simple and accurate model of fracture toughness of solids. J. Appl. Phys., 2019, 125, 065105.

19. Boccaccini A.R. Machinability and brittleness of glass-ceramics. J. Mater. Process. Technol., 1997, 65, P. 302–304.

20. Lutjering G., Williams J.C. ¨ Titanium, second ed. Springer, Berlin, 2007, 442 p.

21. Schwarz K., Blaha P., Madsen G.K.H. Electronic structure calculations of solids using the WIEN2k package for material sciences, Comput. Phys. Commun., 2002, 147 (1–2), P. 71–76.

22. Raabe D., Sander B., Friak M., Ma D., Neugebauer J. Theory-guided bottom-up design of ´ β-titanium alloys as biomaterials based on first principles calculations: Theory and experiments. Acta Materialia, 2007, 55, P. 4475–4487.

23. Boyer R.R., Welsch G., Collings E.W. Materials properties handbook: titanium alloys. ASM Int., Mater. Park, 1994, 1176 p.

24. Kasparyan S.O., Bakulin A.V., Kulkova S.E. The influence of alloying elements on the elastic properties of β-Ti. J. Exp. Theor. Phys., 2026, 169, P. 71–81. (in Russian)

25. Kwasniak P., Wrobel J.S., Garbacz H. Origin of low Young modulus of multicomponent, biomedical Ti alloys – Seeking optimal elastic properties ´ through a first principles investigation. J. Mech. Behav. Biomed. Mater., 2018, 88, P. 352–361.

26. Hao C.P., Wang Q., Ma R.T., Wang Y.M., Qiang J.B., Dong C. Cluster-plus-glue-atom model in bcc solid solution alloys. Acta Phys. Sin., 2011, 60 (11), 116101.

27. Kasparyan S.O., Ordabaev A.E., Bakulin A.V., Kulkova S.E. Elastic and thermal properties of some ternary β-Ti based alloys. Nanosystems Phys. Chem. Math., 2025, 16 (2), P. 225–234.

28. Kasparyan S.O. Electronic structure and elastic moduli of binary and ternary β-titanium alloys. Cand. Sci. (Phys.-Math.) Dissertation. Nat. Res. Tomsk State Univ., Tomsk, 2025, 154 p. (in Russian).


Review

For citations:


Bakulin A.V., Kulkova S.E. Elastic and mechanical properties of Ti–Nb–Zr based alloys. Nanosystems: Physics, Chemistry, Mathematics. 2026;17(2):204-209. https://doi.org/10.17586/2220-8054-2026-17-2-204-209

Views: 414

JATS XML


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2220-8054 (Print)
ISSN 2305-7971 (Online)