Abstract
The six independent second-order elastic stiffness coefficients of a Ti44Al56 single crystal (L10 structure) have been measured at room temperature for the first time using a resonant ultrasonic spectroscopy (RUS) technique. These data were used to calculate the orientation dependence of Young’s modulus and the shear modulus. Young’s modulus is found to reach a maximum near a [111] direction, close to the normal to the most densely packed planes. The elastic moduli and Poisson’s ratio for polycrystalline materials, calculated by the averaging scheme proposed by Hill, are in good agreement with experimental data and theoretical calculations.
Similar content being viewed by others
References
R. L. Fleischer, J. Mater. Sci. 22, 2281 (1987).
A. I. Taub and R. L. Fleischer, Science 243, 616 (1989).
Y. W. Kim, JOM 41 (7), 24 (1989).
Pearson’s Handbook of Crystallographic Data for Intermetallic Phases, edited by P. Villars and L. D. Calvert (American Society for Metals, Metals Park, OH, 1985), Vol. 2.
Y. W. Kim and D. M. Dimiduk, JOM 43 (8), 40 (1991).
R. P. Elliot and W. Rostoker, Acta Metall. 2, 884 (1954).
D. Vujic, Z. Li, and S. H. Whang, Metall. Trans. A 19A, 2445 (1988).
F. H. Froes, C. Suryanarayana, and D. Eliezer, J. Mater. Sci. 27, 5113 (1992).
Y. W. Kim, JOM 46 (7), 30 (1994).
T. Kawabata, T. Kanai, and O. Izumi, Acta Metall. 33, 1355 (1985).
C. L. Fu and M.H. Yoo, Philos. Mag. Lett. 62, 159 (1990).
K. Y. Kim, Phys. Rev. B 49, 3713 (1994).
D. B. Fraser and R. C. LeCraw, Rev. Sci. Instrum. 35, 1113 (1964).
H. H. Demarest, Jr., J. Acoust. Soc. Am. 49, 768 (1969).
I. Ohno, J. Phys. Earth 24, 355 (1976).
A. Migliori, J. L. Sarrao, W. M. Visscher, T. M. Bell, M. Lei, Z. Fisk, and R. G. Leisure, Physica B 183, 1 (1993).
H. Yasuda and M. Koiwa, J. Phys. Chem. Solids 52, 723 (1991).
H. Yasuda, T. Takasugi, and M. Koiwa, Acta Metall. Mater. 40, 381 (1992).
K. Tanaka, H. Yasuda, and M. Koiwa, Proc. 3rd Japan Int. SAMPE Symp. 1171 (1993).
F. Chu, M. Lei, A. Migliori, S. P. Chen, and T. E. Mitchell, Philos. Mag. B 70, 867 (1994).
F. Chu, M. Lei, S. A. Maloy, T. E. Mitchell, A. Migliori, and J. Garrett, Philos. Mag. B (1995, in press).
V-T. Kuokkala and R.B. Schwarz, Rev. Sci. Instrum. 63, 3136 (1992).
W. L. Johnson, S. J. Norton, F. Bendec, and R. Pless, J. Acoust. Soc. Am. 91, 2637 (1992).
W. M. Visscher, Los Alamos Report, LA-UR-91-2884 (1991).
S. R. Srinivasan and R. B. Schwarz, J. Mater. Res. 7, 1610 (1992).
P. B. Desch and R. B. Schwarz, unpublished results, Los Alamos National Laboratory.
A. Kelly and N. H. MacMillan, Strong Solids, 3rd ed. (Oxford University Press, Oxford, 1986), p. 395.
R. L. Bisplinghoff, J.W. Mar, and T. H. H. Pian, Statics of Deformable Solids (Addison-Wesley, Reading, MA, 1965), Chap. 7.
B.A. Auld, Acoustic Fields and Waves in Solids (John Wiley & Sons, New York, 1973), Vol. 1, Chap. 3.
O.L. Anderson, J. Phys. Chem. Solids 24, 909 (1963).
G. Simmons and H. Wang, Single Crystal Elastic Constants and Calculated Aggregated Properties: A Handbook, 2nd ed. (The MIT Press, Cambridge, MA, 1971).
E. Schreiber, O.L. Anderson, and N. Soga, in Elastic Constants and Their Measurement (McGraw-Hill, New York, 1973), pp. 29-31.
A. Lipsitt, D. Schechtman, and R. E. Schafrik, Metall, Trans. A 6, 1991 (1975).
E. Schafrik, Metall. Trans. A 8, 1003 (1977).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
He, Y., Schwarz, R.B., Migliori, A. et al. Elastic constants of single crystal γ – TiAl. Journal of Materials Research 10, 1187–1195 (1995). https://doi.org/10.1557/JMR.1995.1187
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1557/JMR.1995.1187