Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-14T05:29:42.220Z Has data issue: false hasContentIssue false
  • English
  • Français

Theory of chemically induced kink formation on cracks in silica. II. Force law calculations

Published online by Cambridge University Press:  31 January 2011

K. Masuda-Jindo ,
V. K. Tewary  and
Robb Thomson
K. Masuda-Jindo
Affiliation:
Department of Materials Science and Engineering, Tokyo Institute of Technology, Yokohama, Japan
V. K. Tewary
Affiliation:
Birla Institute of Technology and Science, Pilani, 333031, Rajasthan, India
Robb Thomson
Affiliation:
Institute for Materials Science and Engineering, National Bureau of Standards, Gaithersburg, Maryland 20899
Get access

Abstract

This article is this second of a pair on a theory of chemically assisted fracture. In it a simple bond orbital model of the force laws to be used in fracture is developed. In the bond orbital model, only a few of the atoms in the vicinity of the bond to be broken are considered and do not include interactions with the rest of the system, which is assumed to be Newtonian. Numerical accuracy is not required, but qualitative features of the force laws are believed to be valid. The silica bond is shown to rise quickly to a high peak, after which it develops a relatively long tail. When the bond is attacked by water, modeling by the same technique indicates that the bond has a “snapping” characteristic that is important in the theory developed in the first article. For bonds with smooth “back sides” the barriers to crack motion are shown to be low, but barriers are expected to be observable when the bond snaps. A tight binding treatment of a one-dimensional chain has been included in order to investigate the effect of including band effects in the force law. These effects are found to be small compared to the simple bond breaking of the bond orbital calculation.

Type
Articles
Information
Journal of Materials Research , Volume 2 , Issue 5 , October 1987 , pp. 631 - 637
Copyright
Copyright © Materials Research Society 1987

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

1Thomson, R., Tewary, V., and Masuda-Jindo, K., J. Mater. Res. 2, 619 (1987).CrossRefGoogle Scholar
2Harrison, W. A., Electronic Structure and the Properties of Solids (Freeman, San Francisco, 1980).Google Scholar
3Pantelides, S. T., Harrison, W. A., and Yndurain, F., Phys. Rev. 34, 6038 (1986).CrossRefGoogle Scholar
4and, E. N. FooDavison, S. G., Surf. Sci. 55, 274 (1976).Google Scholar
5deJong, B. H. S. and Brown, G. E. Jr., Geochim. Cosmochim. Acta 44, 1627 (1980); 44, 491 (1980); M. D. Newton and G. V. Gibbs, Phys. Chem. Miner. 6, 221 (1980).CrossRefGoogle Scholar
6Galeener, F. L., Philos. Mag. Lett. 51, LI (1985).Google Scholar
7Economu, E. N., Green's Functions in Quantum Physics (Springer, Berlin, 1979).CrossRefGoogle Scholar
8Harrison, W. A., Phys. Rev. B 27, 3592 (1983).CrossRefGoogle Scholar
9Galeener, F. L., Solid State Commun. 44, 1037 (1982).CrossRefGoogle Scholar
10Michalske, T. A. and Freiman, S., Nature 295, 511 (1982).CrossRefGoogle Scholar
11Michalske, T. A. and Bunker, B. C., J. Appl. Phys. 56, 2686 (1984).CrossRefGoogle Scholar
12Einstein, T. L. and Schrieffer, J. R., Phys. Rev. B 7, 3629 (1973).CrossRefGoogle Scholar
13Stupfel, B. and Gautier, F., J. Phys. F 12, 1577 (1982).CrossRefGoogle Scholar
14Allan, G. and Lannoo, M., J. Phys. Chem. Solids 37, 699 (1976); D. Spanjaard, C. Guillot, M. C. DesJonqueres, G. Treglia, and J. Le-cante, Surf. Sci. Rep. 5, 1 (1985).CrossRefGoogle Scholar
15Wiederhorn, S., Fuller, E., and Thomson, R., Met. Sci. 14, 450 (1980).CrossRefGoogle Scholar
16Lawn, B. R., Roach, D. A., and Thomson, R. J. Mater. Sci. (to be published).Google Scholar
17Daw, M., Surf. Sci. Lett., 166, L161 (1986).Google Scholar