Hostname: page-component-848d4c4894-v5vhk Total loading time: 0 Render date: 2024-06-28T17:39:30.355Z Has data issue: false hasContentIssue false

Phonons and Local Elastic Moduli in Symmetrical Tilt Boundaries

Published online by Cambridge University Press:  01 January 1992

Gui Jin Wang
Affiliation:
Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, PA 19104
V. Vitek
Affiliation:
Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, PA 19104
I. Alber
Affiliation:
Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA 19104
J. Bassani
Affiliation:
Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA 19104
Get access

Abstract

Lattice vibrations and atomic level elastic moduli have been studied for a bicrystal containing a fully relaxed symmetrical tilt boundary in Au. Central force many body potentials have been employed to describe atomic interactions. In the long-wavelength limit the phonons localized at grain boundaries can be identified with Stoneley waves known from continuum analyses. These waves are localized at the grain boundary and their velocity agrees well with that evaluated using the local effective elastic moduli of the interfacial region. However, the usually used continuum model assuming an ideal match across the interface is not sufficient to analyze these waves fully and an explicit description of interfacial properties need to be included into the continuum models of interfaces.

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. Auld, B. A., Acoustic Fields and Waves in Solids, (John Wiley, New York, 1973).Google Scholar
2. Stoneley, R., Proc. Roy. Soc. London A 106, 416 (1924).Google Scholar
3. Johnson, W. W., Bull. Ses. Soc. Amer. 60, 1105 (1970).Google Scholar
4. Masri, P. and Dobrzynski, L., J. Phys. France 36, 551 (1975).Google Scholar
5. Djafari-Rouhani, B., Dobrzynski, L. and Masri, P., Ann. Phys. Paris 6, 259 (1981).Google Scholar
6. Earmme, Y. Y. and Lee, J. K., Surf. Sci. 92, 174 (1980).Google Scholar
7. Alber, I., Bassani, J. L., Khantha, M., Vitek, V. and Wang, G. J., Structure/Property relationships for Metal/Metal Interfaces, edited by Romig, A. D., Fowler, D. E. and Bristowe, P. D. (Pittsburgh, Materials Research Society), Vol. 229, p. 65 ( 1991).Google Scholar
8. Alber, I., Bassani, J. L., Khantha, M., Vitek, V. and Wang, G. J., Phil. Trans. Roy. Soc. London A 339, 555 (1992).Google Scholar
9. Finnis, M. W. and Sinclair, J. E., Philos. Mag. A 50, 45 (1984).Google Scholar
10. Ackland, G. J., Tichy, G., Vitek, V. and Finnis, M. W., Philos. Mag. A 56, 735 (1987).Google Scholar
11. Wang, G. J., Vitek, V., Alber, I., Bassani, J. L. and Tichy, G., Proc. 6th Int. Conf. Intergranular and Interphase Boundaries in Materials, edited by Polychroniadis, E. K. (Thessaloniki), to be published ( 1992).Google Scholar
12. Maradudin, A. A., Montroll, E. W., Weiss, G. H. and Ipatova, I. P., Theory of Lattice Dynamics in the Harmonic Approximation, (Academic Press, New York, 1971).Google Scholar