Hostname: page-component-745bb68f8f-lrblm Total loading time: 0 Render date: 2025-01-15T00:40:50.597Z Has data issue: false hasContentIssue false
  • English
  • Français

Three-Dimensional Numerical Simulation of Interacting Dislocations in a Strained Epitaxial Surface Layer

Published online by Cambridge University Press:  10 February 2011

R. V. Kuktat  and
L. B. Freundt
R. V. Kuktat
Affiliation:
Div. of Engineering and Appl. Science, California Inst. of Tech., Pasadena, CA 91125
L. B. Freundt
Affiliation:
Division of Engineering, Brown University, Providence, RI 02912
Get access

Abstract

In the context of elastic dislocation theory, the glide of arbitrarily shaped dislocations near a free surface is simulated numerically. The simulation is made possible by utilizing a compact line-integral representation of the elastic field produced by a piecewise planar dislocation loop near a free surface. The interaction between a threading dislocation and a misfit dislocation in its path is simulated and the blocking effect is shown to be much more significant than found in simulations which neglect free surface effects.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 538: Symposium J – Multiscale Modelling of Materials , 1998 , 99
Copyright
Copyright © Materials Research Society 1999

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. Gosling, T.J. and Willis, J.R., J. Mech. Phys. Solids 42, 1199 (1994).Google Scholar
2. Kukta, R.V., PhD thesis, Brown University, 1998.Google Scholar
3. Brown, L.M., Phil. Mag. 10, 441 (1964).Google Scholar
4. Gavazza, S.D. and Barnett, D.M., J. Mech. Phys. Solids 24, 171 (1976).Google Scholar
5. Hirth, J.P. and Lothe, J., J., Theory of Dislocations, 2nd ed. (John Wiley & Sons, Inc., New York, 1982), p. 99.Google Scholar
6. Mindlin, R.D., Physics 7, 195 (1936).Google Scholar
7. Rongved, L., in Proceedings, (Second Midwestern Conference on Solid Mechanics, 1955), pp. 1–13.Google Scholar
8. Lothe, J., in Fundamental Aspects of Dislocation Theory, edited by Simmons, J.A., deWitt, R. and Bullough, R., (Spec. Pub. 317, I, Nat. Bur. Stand., U.S., 1970), pp. 11–22.Google Scholar
9. Freund, L.B., J. Mech. Phys. Solids 38(5), 657 (1990).Google Scholar
10. Freund, L.B., J. Appl. Phys. 68(5), 2073 (1990).Google Scholar
11. Schwarz, K., K. and Tersoff, J., Appl. Phys. Lett. 69(9), 1220 (1996).Google Scholar