Hostname: page-component-7479d7b7d-qs9v7 Total loading time: 0 Render date: 2024-07-16T03:07:18.810Z Has data issue: false hasContentIssue false

Numerical Simulations of the Lattice Stability of β-Phase Hume-Rothery “ALLOYS”

Published online by Cambridge University Press:  28 February 2011

M. De Graef
Affiliation:
Department of Metallurgy and Materials Engineering, Catholic University of Leuven, de Croylaan 2, B-3030 Heverlee, Belgium
B. Verlinden
Affiliation:
Department of Metallurgy and Materials Engineering, Catholic University of Leuven, de Croylaan 2, B-3030 Heverlee, Belgium
L. Delaey
Affiliation:
Department of Metallurgy and Materials Engineering, Catholic University of Leuven, de Croylaan 2, B-3030 Heverlee, Belgium
Get access

Abstract

A new empirical potential model is proposed which can be used for a full fit to second and third order elastic moduli. The lattice stability of the β-phase of Cu-based martensitic alloys is known to depend strongly on these moduli. The pair potential is then used to compute the eigenvalues of the effective elastic moduli tensor for different deformations such as uniaxial z-distortion and (110)[110] shear. The results of these simulations are compared with the predictions of linear elasticity theory.

Type
Research Article
Copyright
Copyright © Materials Research Society 1989

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Clapp, P.C., phys. stat. sol. (b) 57, 561 (1973)Google Scholar
2. Gugnin, G. and Gobin, P.F., Met. Trans A, 13, 1127 (1982)CrossRefGoogle Scholar
3.Proc. AIME conference on “Pretransformation behavior related to displacive transformations in alloys, New Orleans 1986”, Met. Trans. A 19, 158234 (1988)Google Scholar
4. Rifkin, J. and Clapp, P.C., J. de Physique, 43, C4157 (1982)Google Scholar
5. Clapp, P.C. and Rifkin, J., Proc. Conf on Solid-Solid Phase Transformations, edited by Aaronson, et al, TMS-AIME, 1165 (1982)Google Scholar
6. Clapp, P.C., Rifkin, J., Kenyon, J. and Tanner, L.E., to appear in Met. Trans. (1988)Google Scholar
7. Yu, C. and Anderson, P.W., Phys. Rev. B 29, 6165 (1984)CrossRefGoogle Scholar
8. Johnson, R.A., Phys. Rev. B 6, 2094 (1972); 9, 1304 (1974)Google Scholar
9. Graef, M. De and Delaey, L., phys. stat. sol (b) 146, 427 (1988)Google Scholar
10. Graef, M. De, Verlinden, B. & Delaey, L., Scripta Met. 22, 1531 (1988)Google Scholar
11. Verlinden, B., Suzuki, T., Delaey, L. and Gugnin, G., Scripta Met. 18, 975 (1984)Google Scholar
12. Koczak, M.J., Herman, H. & Damask, A.C., Acta Met. 19, 303 (1971)Google Scholar
13. Zener, C., Phys. Rev. 71, 846 (1947)CrossRefGoogle Scholar
14. Milstein, F., Phys. Rev. B 3, 1130 (1971)Google Scholar