Hostname: page-component-8448b6f56d-t5pn6 Total loading time: 0 Render date: 2024-04-20T03:33:40.252Z Has data issue: false hasContentIssue false

Effect of Elastic Stress on Phase Selection in a Binary System

Published online by Cambridge University Press:  21 February 2011

Joo-Youl Huh
Affiliation:
Department of Materials Science and Engineering, Carnegie Mellon University, Pittsburgh, PA 15213-3890
William C. Johnson
Affiliation:
Department of Materials Science and Engineering, Carnegie Mellon University, Pittsburgh, PA 15213-3890
Get access

Abstract

Elastic stress arising from differences in lattice parameters between phases is known to alter both qualitatively and quantitatively the characteristics of phase equilibria in coherent systems. One important consequence of misfit or epitaxial strain is the possible existence of several linearly stable equilibrium states: For a given composition, temperature and applied stress, different combinations of volume fraction and corresponding phase compositions render the free energy of the system a minimum. Here, we examine how epitaxial stresses influence phase equilibria in a binary alloy when the system can select from three different phases. In particular, we show the existence of several equilibrium states with different combinations of phases that minimize the system free energy.

Type
Research Article
Copyright
Copyright © Materials Research Society 1993

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

REFERENCES

[1] Nye, J.F., Physical Properties of Crystals, (Oxford University Press, Oxford, 1990).Google Scholar
[2] Larchi, F.C. and Cahn, J.W., Acta Metall. 30, 1835 (1982).CrossRefGoogle Scholar
[3] Williams, R.O., Metall. Trans. 11A, 247 (1980).CrossRefGoogle Scholar
[4] Cahn, J.W. and Larchi, P.C., Acta Metall. 32, 1915 (1984).Google Scholar
[5] Roytburd, A.L., Soy. Phys. Sol. State 26, 1229 (1984).Google Scholar
[6] Johnson, W.C. and Voorhees, P.W., Metall. Trans. 18A, 1213 (1987).CrossRefGoogle Scholar
[7] Johnson, W.C. and Müller, W.H., Acta Metall. Mater. 39, 89 (1991).CrossRefGoogle Scholar
[8] Liu, Z.-K. and Agren, J., Acta Metall. 38, 561 (1990).CrossRefGoogle Scholar
[9] Wood, D.M. and Zunger, A., Pyhys. Rev. B 40, 4062 (1989).Google Scholar
[10] Zunger, A. and Wood, D.M., J. Crys. Growth 98, 1 (1989).Google Scholar
[11] Johnson, W.C. and Chiang, C.S., J. Appl. Phys. 64, 1155 (1988).Google Scholar
[12] Griffiths, R.B. and Wheeler, J.C., Phys. Rev. A 2, 1047 (1970).Google Scholar
[13] Larché, F.C. and Cahn, J.W., Acta Metall. 21, 1051 (1973).CrossRefGoogle Scholar
[14] Huh, J.-Y., PhD thesis, Carnegie Mellon University 1993.Google Scholar
[15] Gibbs, J.W., Scientific Papers, Vol. I: Thermodynamics, (Dover, New York, 1961).Google Scholar