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Single Crystal Elastic Moduli of Disordered Cubic Alloys

Published online by Cambridge University Press:  15 February 2011

Craig S. Hartley
Craig S. Hartley*
Affiliation:
U.S. Department of Energy, SC-131, Germantown, MD, 20874. Craig.hartlev@science.doe.gov
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Abstract

A review of the relationship between elastic moduli and interatomic force constants precedes the description of a method for determining the composition dependence of single crystal elastic moduli of disordered alloys having the face-centered cubic structure. The method treats the alloy as a virtual crystal, characterized by an effective pair potential between atoms. Results of calculations are presented using experimental data on Cu-rich Cu-Al alloys.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 578: Symposia A/C – Multiscale Phenomena in Materials - Experiments in Modeling , 1999 , 279
Copyright
Copyright © Materials Research Society 2000

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References

REFERENCES

1. The terms "elastic moduli" or "elastic constants" refer to either compliances or stiffnesses.Google Scholar
2. Gairola, B. K. D. and Kröner, E., Int. J. Eng. Sci., 19, p. 865 (1981).Google Scholar
3. Eisenberg, M. A., Hartley, C. S., Lee, H.-C. and Yen, C. F., J. Nucl. Mat, 88, p. 138 (1980).Google Scholar
4. Sayers, C. M., J. Phys. D: Appl. Phys., 15, p. 2157 (1982).Google Scholar
5. Hearmon, R. F. S., in Landholt- Bornstein New Series, Group II, 11, pp. 12–21 (1979) and 18 pp. 5–12 (1984).Google Scholar
6. Simmons, G. and Wang, H., Single Crystal Elastic Constants and Calculated Aggregate Properties: A Handbook, 2nd. Edition (MIT Press, Cambridge, MA, 1971).Google Scholar
7. Chevenard, P. and Portevin, A., Compt. Rend., 181, p. 780 (1925).Google Scholar
8. Guillet, L., Rev. Met., 36, p. 497 (1936).Google Scholar
9. Köster, W. and Rauscher, W., Zeit. f. Metallkde. 39, p. 111 (1948).Google Scholar
10. Shibuya, Y., Sci. Rep. RITU, A–3, p. 645 (1951).Google Scholar
11. Shibuya, Y., Sci. Rep. RITU, A–1, p. 161 (1949).Google Scholar
12. Niu, H. and Shimizu, M., J. Phys. Soc. Japan, 22, p. 437 (1967).Google Scholar
13. Hartley, C. S., in Metallic Alloys: Experimental and Theoretical Perspectives, ed. by Faulkner, J. S. and Jordan, R.G., (Kluwer Academic Press, Amsterdam, Netherlands, 1994), p. 171.Google Scholar
14. Fuchs, K., Proc. Roy. Soc. (London), A153, p. 622; A157, p. 444 (1936).Google Scholar
15. Johnson, R. A., Phys. Rev. B, 6, p. 2094 (1972).Google Scholar
16. Johnson, R. A., Phys. Rev. B, 9, p. 1304 (1974).Google Scholar
17. Born, M. and Huang, K., Dynamical Theory of Crystal Lattices, Oxford University Press, Oxford, England (1956).Google Scholar
18. Launay, J. De, in Solid State Physics, ed. Seitz, F. and Turnbull, D. (Academic Press, 2, New York, 1956) p. 285.Google Scholar
19. Squires, G. L., Arkiv för Fysik, B and 25, nr 3, p. 21 (1963).Google Scholar
20. Summation from 1 to 3 over repeated Latin suffixes is implied unless otherwise indicated.Google Scholar
21. Zaretsky, J. L., Lattice Dynamics of hcp and bcc Zirconium (Ph.D. Dissertation, Iowa State University, 1979).Google Scholar
22. Bullough, R. and Hardy, J. R., Phil. Mag., 17, p. 833 (1968).Google Scholar
23. Cain, L. S. and Thomas, J.F. Jr., Phys. Rev. B, 4, p. 4245 (1971).Google Scholar
24. Gerlich, D. and Fisher, E.S., J. Phys. Chem. Solids, 30, p. 1197 (1969).Google Scholar
25. Sinha, S. K., Phys. Rev., 143, p. 422 (1966).Google Scholar
26. The definition of ASFC employed by B&H is twice that that employed in the present work.Google Scholar