Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-10T10:31:57.381Z Has data issue: false hasContentIssue false
  • English
  • Français

The Interaction of a Circular Dislocation Pile-up with a Short Rigid Fiber: a 3-D Dislocation Dynamics Simulation

Published online by Cambridge University Press:  14 March 2011

Tariq A. Khraishi  and
Hussein M. Zbib
Tariq A. Khraishi
Affiliation:
Department of Mechanical Engineering, University of New Mexico, Albuquerque, NM 87131, U.S.A.
Hussein M. Zbib
Affiliation:
School of Mechanical and Materials Engineering, Washington State University, Pullman, WA 99164, U.S.A
Get access

Abstract

This paper presents a dislocation dynamics simulation of the interaction of a circular dislocation pile-up with a short rigid fiber, say as in metal-matrix composites. The pile-up is composed of glide dislocation loops surrounding the fiber. This problem is treated here as a boundary value problem within the context of dislocation dynamics. The proper boundary condition to be enforced is that of no or zero elastic displacements at the fiber's surface. Such a condition is satisfied by a distribution of rectangular dislocation loops, acting as sources of elastic displacements, meshing the fiber's surface. Such treatment is similar to crack modeling using distributed dislocations and falls under the category of “generalized image stress analysis.” The unknown in this problem is the Burgers vectors of the surface loops. Once those are found, the Peach-Koehler force acting on the circular dislocation loops, and emulating the fiber's presence, can be determined and the dynamical arrangement of the circular pile-up evolves naturally from traditional dislocation dynamics analysis.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 683: Symposium BB – Materials Instabilities and Patterning in Metals , 2001 , BB3.5.1
Copyright
Copyright © Materials Research Society 2001

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

REFERENCES

1. Nabarro, F.R.N., Phil. Mag., 35, 613 (1977).Google Scholar
2. Kocks, U.F., Mater. Sci. Eng., 27, 291 (1977).Google Scholar
3. Lim, T., Kim, Y.H., Lee, C.S., and Han, K.S., J. Composite Materials, 26, 1062 (1992).Google Scholar
4. Miller, W.S., and Humphreys, F.J., Scripta Metall. et Mater., 25, 33 (1991).Google Scholar
5. Dunders, J., in Recent Advances in Engineering Science, ed. by Eringen, A.C., 2, 223 (1965).Google Scholar
6. Gavazza, S.D., and Barnett, D.M., Int. J. Engng. Sci., 12, 1025 (1974).Google Scholar
7. Kubin, L.P., Canova, G., Condat, M., Devincre, B., Pontikis, V., and Bréchet, Y., Solid StatePhen., 23&24, 455 (1992).Google Scholar
8. Devincre, B., in Computer Simulations in Materials Science, ed. by Kirchner, H. et al. , 309 (1996).Google Scholar
9. Zbib, H.M., Rhee, M., and Hirth, J.P., Int. J. Mech. Sci., 40, 113 (1998).Google Scholar
10. Rhee, M., Zbib, H.M., Hirth, J.P., Huang, H., and Rubia, T. de la, Modelling Simul. Mater. Sci. Eng., 6, 467 (1998).Google Scholar
11. Ghoniem, N., and Sun, L.Z., Phys. Rev. B, 60, 128 (1999).Google Scholar
12. Schwarz, K.W., and LeGoues, F.K., Phys. Rev. Letters, 79, 1877 (1997).Google Scholar
13. Hirth, J.P., and Lothe, J., Theory of Dislocations (Krieger Pub. Comp., Florida, 1982).Google Scholar
14. Devincre, B.,Solid State Communications, 93, 875 (1995).Google Scholar
15. Khraishi, T.A., Zbib, H.M., and Rubia, T.D. de la, Mat. Sci. & Eng. A (in press).Google Scholar
16. Khraishi, T.A., Hirth, J.P., Zbib, H.M., Khaleel, M.A., Int. J. Engng. Sci., 38, 251 (2000).Google Scholar
17. Khraishi, T.A., Zbib, H.M., Hirth, J.P., Rubia, T.D. de la, Phil. Mag. Lett., 80, 95 (2000).Google Scholar
18. Khraishi, T.A., 2000, Ph.D. dissertation, Washington State University.Google Scholar