Titanium’s high-temperature elastic constants through the hcp–bcc phase transformation
Source abstract
Abstract
The five independent elastic constants of hexagonal monocrystal titanium were determined up to the phase-transformation temperature, and the two isotropic elastic constants of polycrystalline titanium were determined beyond, up to 1300 K. Anomalous temperature dependences were observed just below the phase-transformation temperature: C11 and C66 increase with increasing temperature whereas C33 and C44 remarkably decrease, for example. To determine the Cij, we used the free-vibration resonance frequencies obtained by electromagnetic acoustic resonance. After the phase transformation, the resonance frequencies changed little with the temperature increase, showing that the bcc-phase elastic constants change little with temperature. The polycrystalline elastic constants remained unchanged up to 1300 K after the phase transformation. The anomalous temperature dependence near the transformation is interpreted in terms of the small c/a ratio of the hcp phase and change of the atomic distances to meet the Burgers lattice relationship. Temperature-insensitive elastic constants in the bcc phase suggest the stabilizing of the bcc phase with increasing temperature. © 2004 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Titanium Alloys Microstructure and Properties · Microstructure and Mechanical Properties of Steels · Microstructure and mechanical properties
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (27)
Show source-provided references
1. Fisher · Phys. Rev. B · 1964 · 135 · A48210.1103/PhysRev.135.A482 ↗
2. Fisher · 1970 · 373
3. Fisher · Acta Metall. · 1970 · 18 · 26510.1016/0001-6160(70)90033-7 ↗
4. Burgers · Physica · 1934 · 1 · 56110.1016/S0031-8914(34)80244-3 ↗
5. Zener · 1948
6. Hirao · 2003
7. Ogi · J. Acoust. Soc. Am. · 1999 · 106 · 66010.1121/1.427607 ↗
8. Ogi · Metal. Mater. Trans. · 2001 · 32A · 42510.1007/s11661-001-0274-8 ↗
9. Ogi · Philos. Mag. A · 2003 · 83 · 50310.1080/0141861021000034559 ↗
10. Ohno · J. Phys. Earth · 1976 · 24 · 35510.4294/jpe1952.24.355 ↗
11. Mochizuki · J. Phys. Earth · 1987 · 35 · 15910.4294/jpe1952.35.159 ↗
12. Narayana · Acta Cryst. A · 2000 · 57 · 21710.1107/S0108767300018560 ↗
13. Grimrall G. Thermophysical properties of materials. Amsterdam: North-Holland; 1999 [Eqs. (7.44) and (7.47)]
14. Pearson · 1967 · vol. 2
15. Keller · Phys. Rev. · 1967 · 154 · 62810.1103/PhysRev.154.628 ↗
16. Poirier · J. Appl. Phys. · 1984 · 55 · 332710.1063/1.333370 ↗
17. Senkova · Mater. Res. Bull. · 2001 · 36 · 143110.1016/S0025-5408(01)00604-3 ↗
18. Petry · Phys. Rev. B · 1991 · 43 · 1093310.1103/PhysRevB.43.10933 ↗
19. Weston · Phys. Rev. B · 1975 · 12 · 535510.1103/PhysRevB.12.5355 ↗
20. Grimrall G. Thermophysical properties of materials. Amsterdam: North-Holland; 1999. p. 116 [Eqs. (7.44) and (7.47)]
21. Einstein · Ann. Phys. · 1911 · 34 · 17010.1002/andp.19113390110 ↗
22. Nishitani · Mater. Sci. Eng. · 2001 · A312 · 7710.1016/S0921-5093(00)01905-5 ↗
23. Sanati · Phys. Rev. B · 2001 · 63 · 22411410.1103/PhysRevB.63.224114 ↗
24. Ledbetter H, Ogi H, Kai S, Kim S, Hirao M. J Appl Phys 2004, in press
25. Eshelby · Proc. Roy. Soc. Lond. · 1957 · A241 · 37610.1098/rspa.1957.0133 ↗
26. Mori · Acta Metall. · 1973 · 21 · 57110.1016/0001-6160(73)90064-3 ↗
27. Mura · 1987