Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-25T17:41:53.176Z Has data issue: false hasContentIssue false

A Multi-Plane Model for Defect Nucleation at Cracks

Published online by Cambridge University Press:  21 February 2011

G. E. Beltz
Affiliation:
Max-Planck-Institut für Metallforschung, Seestraβe 92, D-70174 Stuttgart, Germany
S. Schmauder
Affiliation:
Max-Planck-Institut für Metallforschung, Seestraβe 92, D-70174 Stuttgart, Germany
Get access

Abstract

A mathematical model (2D) of dislocation generation at cracks on interfaces is presented, which takes into account the role of slip processes on several slip planes in the vicinity of a crack. The work investigates the effects of other incipient dislocations on the nucleation and emission of the primary dislocation that emits first and is responsible for crack-tip blunting on atomic length scales. The modeling makes use of the recently-developed Peierls-Nabarro framework for dislocation nucleation. It is found that there is a moderate increase in the critical load necessary to emit a dislocation, when incipient slip activity is allowed to occur on the prolongation of the crack plane. Furthermore, the slip at the tip, the quantity which characterizes to what extent an incipient dislocation forms before it emits, decreases when the dual slip-plane model is used. Implications for the ductile versus brittle response of Ni are discussed.

Type
Research Article
Copyright
Copyright © Materials Research Society 1994

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. Rice, J.R. and Thomson, R., Phil. Mag. 29, 73 (1974).Google Scholar
2. Rice, J.R., J. Mech. Phys. Solids 40, 239 (1992).Google Scholar
3. Beltz, G.E. and Wang, J.-S., Acta Metall. Mater. 40, 1675 (1992).Google Scholar
4. Beltz, G.E. and Rice, J.R., Acta Metall. Mater. 40, S321 (1992).Google Scholar
5. Sun, Y., Beltz, G.E., and Rice, J.R., Mat. Sci. and Engng. A170, 67 (1993).CrossRefGoogle Scholar
6. Rice, J.R. and Beltz, G.E., J. Mech. Phys. Solids 42 (2) (1994).Google Scholar
7. Sun, Y. and Beltz, G.E., submitted to J. Mech. Phys. Solids.Google Scholar
8. Peierls, R.E., Proc. Phys. Soc. 52, 34 (1940).Google Scholar
9. Nabarro, F.R.N., Proc. Phys. Soc. 59, 256 (1947).Google Scholar
10. Frenkel, J., Zeitschrift für Physik 37, 572 (1926).Google Scholar
11. Rose, J.H., Smith, J.R., and Ferrante, J., Phys. Rev. B 28, 1835 (1983).Google Scholar
12. Lin, I.-H. and Thomson, R., Acta Metall. 34, 187 (1986).Google Scholar
13. , Zhou, Carlsson, A., and Thomson, R., Phys. Rev. B 47, 7710 (1993).Google Scholar
14. Foiles, S.M., Baskes, M.I., and Daw, M.S., Phys. Rev. B 33, 7983 (1986).Google Scholar
15. Gumbsch, P. (private communication).Google Scholar
16. Beltz, G.E. and Rice, J. R., work in progress (1994).Google Scholar