Abstract
First-principles density functional theory (DFT) study calculations were performed for various elastic and mechanical properties of Ti64, Ti6242 and Ti6246 alloys. Generalized gradient approximation and the Perdew–Burke–Ernzerhof scheme of DFT were employed to present calculations together with virtual crystal approximation. All of the investigated alloys were found to be in ductile mechanical behavior. Also, machinability indexes of the concerned alloys were calculated and compared. Further, computed Vickers hardness values were determined to be in the range of Ti6242>Ti64>Ti6246. Obtained results for several elastic parameters, in particular for shear modulus (G) and Young’s modulus (E) compare well the former experimental findings.
Similar content being viewed by others
Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and no experimental data has been listed.]
References
T.M. Kravchyshyn, I.M. Pohrelyuk, S.M. Lavrys, Mater. Sci. 56, 516 (2021)
E. Güler, G. Uğur, Ş Uğur, M. Güler, R. Khenata, Bull Mater Sci. 44, 37 (2021)
DYu. Pimenov, M. Mia, M.K. Gupta, A.R. Machado, Í.V. Tomaz, M. Sarikaya, S. Wojciechowski, T. Mikolajczyk, W. Kapłonek, J. Mater. Res. Technol. 11, 719 (2021)
J.W. Nicholson, Prosthesis 2, 100 (2020)
H. Wang, Q. Chao, L. Yang, M. Cabral, Z.Z. Song, B.Y. Wang, S. Primig, W. Xu, Z.B. Chen, S.P. Ringer, X.Z. Liao, Mat. Res. Lett. 9, 119 (2020)
F. Brunke, C. Siemers, J. Rösler, MATEC Web Conf. 321, 05006 (2020)
Z. Ahmad, Principles of Corrosion Engineering and Corrosion Control, 1st edn. (Butterworth-Heinemann, Burlington, 2006)
A. Heldmann, M. Hoelzel, M. Hofmann, W. Gan, W.W. Schmahl, E. Griesshaber, T. Hansen, N. Schell, W. Petry, J. Appl. Cryst. 52, 1144 (2019)
A. Gomez-Gallegos, P. Mandal, D. Gonzalez, N. Zuelli, P. Blackwell, Defect diffus. Forum 385, 419 (2018)
R. Gaddam, B. Sefer, R. Pederson, M.-L. Antti, IOP Conf. Ser. Mater. Sci. Eng. 48, 012002 (2013)
M. Long, H.J. Rack, Biomaterials 19, 1621 (1998)
X. Yang, C. Richard Liu, Mach. Sci. Technol. 3, 107 (1999)
R. Wanhill, S. Barter (Eds.), Metallurgy and microstructure. In Fatigue of Beta Processed and Beta Heat-Treated Titanium Alloys (Springer, Amsterdam, 2011)
I. Sen, U. Ramamurty, Scr. Mater. 62, 37 (2010)
Z. Feng, Y. Yang, Z. Xu, Q. Shi, Mat. Res. 21(4), e20180197 (2018)
S.J. Clark, M.D. Segall, C.J. Pickard, P.J. Hasnip, M.J. Probert, K. Refson, M.C. Payne, Z. Kristallogr, Cryst. Mater. 220(5–6), 567 (2005)
M.D. Segall, P.J.D. Lindan, M.J. Probert, C.J. Pickard, P.J. Hasnip, S.J. Clark, M.C. Payne, J. Phys. Condens. Matter 14, 2717 (2002)
B. Winkler, C. Pickard, V. Milman, Chem. Phys. Lett. 362, 266 (2002)
J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996)
J.P. Perdew, K. Burke, M. Ernzerhof, B. Perdew, E. Reply, Phys. Rev. Lett. 80, 891 (1998)
M. Güler, E. Güler, Ş Uğur, G. Uğur, Z. Charifi, H. Baaziz, Phys. Scr. 96, 035807 (2021). ((and references there in))
D. Vanderbilt, Phys. Rev. B. 41, 7892 (1990)
M Catti, Acta Crystallogr. A, 41(5), 494 (1985), L. Colombo, S. Giordano, Rep. Prog. Phys. 74 116501 (2011)
T.M. Atanackovic, A. Guran, Theory of Elasticity for Scientists and Engineers, 1st edn. (Birkhäuser, Boston, 2000), pp. 85–111
M.A. Hadi, N. Kelaidis, S.H. Naqib, A. Chroneos, A.K.M.A. Islam, J. Phys. Chem. Solids 129, 162 (2019)
T. Chihi, M. Fatmi, B. Ghebouli, M.A. Ghebouli, Chin. J. Phys. 54, 127 (2016)
E. Güler, M. Güler, Ş Uğur, G. Uğur, Int. J. Quantum Chem. 121, e26606 (2021)
Ş Uğur, M. Güler, G. Uğur, E. Güler, J. Magn. Magn. Mater. 523, 167614 (2021)
M. Güler, Ş Uğur, G. Uğur, E. Güler, J. Mol. Struct. 1200, 127150 (2020)
Q. Chen, L. Liu, C. Zhu, K. Chen, Metals 8, 822 (2018)
A.M. Stapleton, S.L. Raghunathan, I. Bantounas, H.J. Stone, T.C. Lindley, D. Dye, Acta Mater. 56, 6186 (2008)
M.A. Hadi, M.A. Rayhan, S.H. Naqib, A. Chroneos, A.K.M.A. Islam, Comput. Mater. Sci. 170, 109144 (2019)
A.K. Kushwaha, Ş Uğur, M. Güler, E. Güler, G. Uğur, Physica B Condens. Mater. 596, 412404 (2020)
M. Güler, Ş. Uğur, G. Uğur, E. Güler, Mol. Phys. 119, e1928314 (2021)
Q. Meng, J. Zhang, Y. Huo, Y. Sui, J. Zhang, S. Guo, X. Zhao, J. Alloys Compd. 745, 579 (2018)
M. Güler, E. Güler, Braz. J. Phys. 46, 192 (2016)
E. Güler, M. Güler, Appl. Phys. A 119, 721 (2015)
E. Güler, M. Güler, Mater. Res. 17, 1268 (2014)
E. Güler, M. Güler, Chin. J. Phys. 53(2), 040807 (2015)
M. Güler, E. Güler, Crystals 7, 161 (2017)
Y. Tian, B. Xu, Z. Zhao, Int. J. Refract. Hard. Met. 33, 93 (2012)
M.A. Hadi, M.N. Islam, M.H. Babu, Z Naturforsch A. 74, 71 (2018)
M.I. Naher, S.H. Naqib, Sci. Rep. 11, 5592 (2021)
M.M. Hossain, M.A. Ali, M.M. Uddin, A.K.M.A. Islam, S.H. Naqib, J. Appl. Phys. 129, 175109 (2021)
C.M. Kube, Elastic anisotropy of crystals. AIP Adv. 6, 095209 (2016)
S. Wolff, T. Lee, E. Faierson, K. Ehmann, J. Cao, J. Manuf. Process. 24, 397 (2016)
S.I. Ranganathan, M. Ostoja-Starzewski, Universal Elastic Anisotropy Index. Phys. Rev. Lett. 101, 055504 (2008)
J.C.F. Millett, G. Whiteman, N.K. Bourne, G.T. Gray, J. Appl. Phys. 104, 073531 (2008)
G.N. Greaves, A.L. Greer, R.S. Lakes, T. Rouxel, Nat. Mater. 10, 823 (2011)
M.A. Hadi, M.T. Nasir, M. Roknuzzaman, M.A. Rayhan, S.H. Naqib, A.K.M.A. Islam, Phys. Status Solidi B. 253, 2020 (2016)
E.S. Fisher, C.J. Renken, Phys. Rev. 135, A482 (1964)
R. Ma, Investigating the evolution of microtextured region in Ti-6242 using FE-FFT multiscale modeling method, Ph.D. Thesis, The University of Tennessee, Knoxville (2018)
R. Rajendran, V. Petley, B. Rehmer, Proc. Inst. Mech. Eng. Pt. L J. Mater. Des. Appl. 227, 243 (2012)
T.K. Heckel, A. Guerrero-Tovar, H.-J. Christ, Exp. Mech. 52, 323 (2011)
Author information
Authors and Affiliations
Contributions
All of the authors contributed equally to this work.
Rights and permissions
About this article
Cite this article
Güler, E., Güler, M., Uğur, G. et al. A first-principles study for the elastic and mechanical properties of Ti64, Ti6242 and Ti6246 alloys. Eur. Phys. J. B 94, 222 (2021). https://doi.org/10.1140/epjb/s10051-021-00230-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjb/s10051-021-00230-8