Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-29T17:14:21.088Z Has data issue: false hasContentIssue false

Dislocation emission at ledges on cracks

Published online by Cambridge University Press:  08 February 2011

S.J. Zhou
Affiliation:
National Institute of Standards and Technology, Gaithersburg, Maryland 20899
Robb Thomson
Affiliation:
National Institute of Standards and Technology, Gaithersburg, Maryland 20899
Get access

Abstract

In this paper, we propose that, depending on their height, ledges on cracks can be efficient sources of dislocations at loadings well below the critical loading for homogeneous emission. Detailed 3-D elastic calculations are presented supporting this proposition. There are two configurations for emission: one which blunts the crack, and one we call a jogging configuration. By our calculations, the blunting configuration should be the more efficient source; however, jogging dislocations are more frequently observed, experimentally. We find that the ledge is only a finite source of dislocations, in the sense that the ledge height decreases as the dislocations are emitted. The atomic configuration at the ledge is composed of finite lengths of real dislocations, which is the reason why such dislocations can be emitted easier than homogeneously produced dislocations. The stresses at the ledge tip produce a cloud of bound dislocations near the ledge, pinned at the ledge ends, so that the ledge crack configuration becomes delocalized. Delocalization of the pileup dislocations in the jogging direction may explain why the jogging dislocations are more frequently seen. Implications for dislocation free zones and ductile transitions are discussed.

Type
Articles
Copyright
Copyright © Materials Research Society 1991

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

1Rice, J. R. and Thomson, R. M., Philos. Mag. 29, 73 (1974 ).CrossRefGoogle Scholar
2Gilman, J. J., Knudsen, C., andWalsh, W. P., J. Appl. Phys. 29, 601 (1958).CrossRefGoogle Scholar
3St. John, C. F., Philos. Mag. 32, 1193 (1975).CrossRefGoogle Scholar
4Michot, G. and George, A., Scripta Metall. 22, 1043 (1988) and earlier references.CrossRefGoogle Scholar
5Brede, M. and Haasen, P., Acta Metall. 36, 2003 (1988).CrossRefGoogle Scholar
6Hirsch, P. B., Roberts, S. G., and Samuels, J., Proc. Roy. Soc. A 421, 25 (1989)Google Scholar
Samuels, J. and Roberts, S. G., Proc. Roy. Soc. A 421, 25 (1989) p. 1.Google Scholar
7Chiao, Y-H. and Clarke, D. R., Acta Metall. 37, 203 (1989).CrossRefGoogle Scholar
8Lawn, B. R., Hockey, B. J., andWiederhorn, S. M., J. Mater. Sci. 15, 1207 (1980).CrossRefGoogle Scholar
9Chia, K. Y. and Burns, S. J., Scripta Metall. 18, 467 (1984). See also “Fracture: Measurement of Localized Deformation by Novel Techniques”, edited by Gerberich, W. W. and Davidson, D. L., AIME Conference Proceedings, 1985.CrossRefGoogle Scholar
10Gerberich, W. (private communication).Google Scholar
11Ohr, S. M., J. Mater. Sci. Eng. 72, 1 (1985).CrossRefGoogle Scholar
12Haasen, P., Atomistics of Fracture, NATO Conf. Series, Series VI: Matls. Sciences (Plenum Press, New York, 1983), p. 707.Google Scholar
13Argon, A., Acta Metall. 35, 185 (1987).CrossRefGoogle Scholar
14Zhang, T-Y. and Li, J. C. M., Mater. Sci. Eng. (in press).Google Scholar
15Anderson, P. M. and Rice, J. R., J. Mech. Phys. Sol. 35, 743 (1987).CrossRefGoogle Scholar
16Gilman, J. J., J. Appl. Phys. 27, 1262 (1956).CrossRefGoogle Scholar
17Lin, I-H. and Thomson, R. M., J. Mater. Res. 1, 73 (1986).CrossRefGoogle Scholar
18 See the article by Bilby, B. A. and Eshelby, J. in Fracture, edited by Liebowitz, H. (Academic Press, New York, 1986), Vol. 1, p. 99.Google Scholar
19Lin, I-H. and Thomson, R. M., Acta Metall. 34, 187 (1986).CrossRefGoogle Scholar
20Wan, K-T., Aimard, N., Lathabai, S., Horn, R. G., andLawn, B. R., J. Mater. Res. 5, 172 (1990).CrossRefGoogle Scholar
21 See Hirth, J. and Lothe, J., Theory of Dislocations (McGraw-Hill, New York, 1983), p. 99.Google Scholar
22Gao, H., J. Mech. Phys. Sol. 37, 133 (1989)CrossRefGoogle Scholar
Gao, H. and Rice, J., J. Mech. Phys. Sol. 37, p. 155 (1989).CrossRefGoogle Scholar
23Thomson, R., Solid State Physics, edited by Turnbull, D. and Ehrenreich, H. (Academic Press, New York, 1987), Vol. 39, p. 1.Google Scholar
24Chang, S. J. and Ohr, S. M., J. Appl. Phys. 52, 7174 (1981).CrossRefGoogle Scholar
25Dewald, D. K., Lee, T. C., Robertson, I. M., andBirnbaum, H. K., Scripta Metall. 23, 1307 (1989).CrossRefGoogle Scholar
26Narita, N., Higashida, K., and Kitano, S., Scripta Metall. 27, 1273 (1987).CrossRefGoogle Scholar