Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-25T15:45:30.092Z Has data issue: false hasContentIssue false

Effect Of Crack Blunting On Subsequent Crack Propagation

Published online by Cambridge University Press:  15 February 2011

J. SchiØtz
Affiliation:
Department of Physics, Washington University, St. Louis, MO 63130–4899
A. E. Carlsson
Affiliation:
Department of Physics, Washington University, St. Louis, MO 63130–4899
L. -M. Canel
Affiliation:
Department of Physics, Washington University, St. Louis, MO 63130–4899
Robb Thomson
Affiliation:
National Institute of Standards and Technology, Gaithersburg, MD 20899
Get access

Abstract

Theories of toughness of materials depend on an understanding of the characteristic instabilities of the crack tip, and their possible interactions. In this paper we examine the effect of dislocation emission on subsequent cleavage of a crack and on further dislocation emission. The work is an extension of the previously published Lattice Greens Function methodology[1, 2, 3]. We have developed a Cavity Greens Function describing a blunt crack and used it to study the effect of crack blunting under a range of different force laws. As the crack is blunted, we find a small but noticeable increase in the crack loading needed to propagate the crack. This effect may be of importance in materials where a dislocation source near the crack tip in a brittle material causes the crack to absorb anti-shielding dislocations, and thus cause a blunting of the crack. It is obviously also relevant to cracks in more ductile materials where the crack itself may emit dislocations.

Type
Research Article
Copyright
Copyright © Materials Research Society 1996

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

[1] Thomson, R., Zhou, S. J., Carlsson, A. E., and Tewary, V. K., Phys. Rev. B 46, 10613 (1992).Google Scholar
[2] Zhou, S. J., Carlsson, A. E., and Thomson, R., Phys. Rev. Lett. 72, 852 (1994).Google Scholar
[3] Canel, L. M., Carlsson, A. E., and Thomson, R., Phys. Rev. B 52, 158 (1995).Google Scholar
[4] Griffith, A. A., Philos. Trans. R. Soc. London Ser. A 221, 163 (1920).Google Scholar
[5] Rice, J. R., J. Mech. Phys. Solids 40, 239 (1992).Google Scholar
[6] Zhou, S. J., Carlsson, A. E., and Thomson, R., Phys. Rev. B 47, 7710 (1993).Google Scholar
[7] Vehoff, H. and Neumann, P., Acta Metall. 28, 265 (1980).Google Scholar
[8] Ohr, S. M., Mater. Sci. Eng. 72, 1 (1985).Google Scholar
[9] Thomson, R., Solid State Physics 39, 2 (1986).Google Scholar
[10] Williams, M. L., J. Appl. Mechanics 19, 526 (1952).Google Scholar