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Interaction of a screw dislocation with a crack in an anisotropic body

Published online by Cambridge University Press:  31 January 2011

Tong-Yi Zhang  and
J.E. Hack
Tong-Yi Zhang
Affiliation:
Department of Mechanical Engineering, Yale University, P.O. Box 2157, Yale Station, New Haven, Connecticut 06520–2157
J.E. Hack
Affiliation:
Department of Mechanical Engineering, Yale University, P.O. Box 2157, Yale Station, New Haven, Connecticut 06520–2157
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Abstract

The stress field, image force, and shielding effect of a screw dislocation in the vicinity of a Mode III crack were formulated for both semi-infinite and finite length cracks. The results show that there is an abnormal stress component, ŝ31, on the crack plane. This leads to a nonzero image force along the axis perpendicular to the crack plane when the dislocation is located on the crack plane. However, the abnormal stress component and image force disappear for orthotropic and isotropic media. The image force along a slip plane has the same expression as in isotropic media with an effective shear modulus. Generally the shielding effects are the same as in isotropic media. The anisotropy changes only the magnitude of the shielding effects. The case of multiple dislocations is also discussed.

Type
Articles
Information
Journal of Materials Research , Volume 6 , Issue 12 , December 1991 , pp. 2578 - 2584
Copyright
Copyright © Materials Research Society 1991

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References

1.Rice, J. R. and Thomson, R., Philos. Mag. 29, 73–96 (1974).Google Scholar
2.Lin, I. H. and Thomson, R., Acta Metall. 34, 187–206 (1986).CrossRefGoogle Scholar
3.Zhang, TongYi and Li, J. C. M., Third Int. Conf. on Fundamentals of Fracture, Irsee, Germany (1989).Google Scholar
4.Zhang, Tong-Yi and Li, J. C. M., Image Forces and Shielding Effects of a Screw Dislocation near a Finite Length Crack, Mater. Sci. Eng. A (in press).Google Scholar
5.Zhang, Tong-Yi and Li, J. C. M., Image Forces and Shielding Effects of an Edge Dislocation near a Finite Length Crack, Acta Met. et Mat. (in press).Google Scholar
6.Anderson, P. M. and Rice, J. R., J. Mech. Phys. Solids 35, 743–769 (1987).Google Scholar
7.Gao, Huajian and Rice, J. R., J. Mech. Phys. Solids 37, 155–174 (1989).Google Scholar
8.Hack, J. E., Zhang, Tong-Yi, and Hirth, J. P., Core Relaxation Effects on the Crack Tip Emission of Dislocations, to be published.Google Scholar
9.Hirth, J. P. and Lothe, J., Theory of Dislocations (McGrawHill, New York, 1968).Google Scholar
10.Stroh, A. N., Philos. Mag. 3, 625–646 (1958).Google Scholar
11.Atkinson, C., Int. J. Fracture Mechanics 2, 567–574 (1966).Google Scholar
12.Sinclair, J. E. and Hirth, J. P., J. Phys. F: Metal Phys. 5, 236–246 (1975).CrossRefGoogle Scholar
13.Sih, G. C., Paris, P. C., and Irwin, G. R., Int. J. Fracture Mechanics 1, 189–203 (1965).Google Scholar
14.Sih, G. C. and Liebowitz, H., in Fracture: An Advanced Treatise edited by Liebowitz, H. (Academic Press, New York and London, 1968), Vol. II.Google Scholar