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Theory of chemically induced kink formation on cracks in silica. I.3-D crack Green's functions

Published online by Cambridge University Press:  31 January 2011

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

This article is the first of a pair on a theory of chemically assisted fracture. It includes the Green's function analysis for a three-dimensional crack with a kink on it. Equations are developed for the activation energy for the motion and nucleation of such kinks using information to be found in the second article regarding the force laws appropriate for water attack of silica. The most general conclusion is that lattice trapping barriers to crack motion (including chemical effects) are associated with a narrow core region of the crack, which is in turn connected to the nature of the interatomic force laws of the material (including the modifications of these force laws induced by chemical reactions). Further, it is found that the force law must have a severely “snapping” characteristic in order to assure a narrow core, a feature not to be expected except under certain types of external chemical attack of the crack. Additional results are that the energy to nucleate a kink pair in silica under water attack is in the neighborhood of 2 eV and that the motion energy is of order 0.1 eV. Motion energies are expected to be considerably smaller than formation energies in general.

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Type
Articles
Information
Journal of Materials Research , Volume 2 , Issue 5 , October 1987 , pp. 619 - 630
Copyright
Copyright © Materials Research Society 1987

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References

REFERENCES

1Wiederhorn, S., Fuller, E., and Thomson, R., Met. Sci. 14, 450 (1980).CrossRefGoogle Scholar
2Hsieh, C. and Thomson, R., J. Appl. Phys. 44, 1051 (1973).Google Scholar
3Esterling, D., J. Appl. Phys. 47, 486 (1976).CrossRefGoogle Scholar
4Fuller, E. and Thomson, R., Fracture Mechanics in Ceramics, edited by Bradt, R., Hasselman, D. P. H., Lange, F. F., and Evans, A. (Plenum, New York, 1982).Google Scholar
5Tewary, V. K., Adv. Phys. 22, 757 (1973).CrossRefGoogle Scholar
6Dienes, G. J. and Paskin, A., Atomistics of Fracture, edited by La-tanision, R. and Pickens, J. (Plenum, New York, 1983), p. 671.CrossRefGoogle Scholar
7Thomson, R., J. Mater. Sci. 15, 1014 (1980).CrossRefGoogle Scholar
8Hirth, I. and Lothe, J., Theory of Dislocations (McGraw-Hill, New York, 1982).Google Scholar
9Lawn, B. R., Roach, D. A., and Thomson, R., J. Mater. Sci. (to be published).Google Scholar