Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-27T02:01:45.955Z Has data issue: false hasContentIssue false

Simulation of Dislocation Dynamics in the Continuum Limit

Published online by Cambridge University Press:  10 February 2011

K. W. Schwarz*
Affiliation:
IBM Research, P.O. Box 218, Yorktown Heights, NY 10598
Get access

Abstract

Peach-Koehler theory is implemented to simulate the motion of three-dimensionally interacting dislocations, located on various glide planes and having any allowed Burgers vector. The self-interaction is regularized by a modified Brown procedure, which remains stable and loses accuracy in a well-controlled manner as atomic dimensions are approached. The method is illustrated by applying it to several problems involving interacting dislocations in an fcc slip system. The strong interaction of two dislocations on intersecting glide planes is investigated with a view towards developing a set of rules to describe the outcome of such interactions. The effect of Frank-Read sources in relaxing a strained layer are illustrated, both for sources on parallel and on intersecting glide planes.

Type
Research Article
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] Kubin, L.P., Canova, G., Condat, M., DeVincre, B., Pontikis, V., and Brdchet, Y., Solid State Phenomena 23–24, 455 (1992).Google Scholar
[2] DeVincre, B. and Kubin, L.P., Model. Simul. Mater. Sci. Eng. 2, 559 (1994).Google Scholar
[3] Kubin, L.P., DeVincre, B., Canova, G., and Bréchet, Y., Key Engineering Materials 103, 217 (1995).Google Scholar
[4] Raabe, D., Z. Metallkd. 87, 493 (1996).Google Scholar
[5] Ghoniem, N.M. and Bacaloni, M., Eng. Rept. UCLA/MATMOD-97-01, Dept. of Mech. and Aerospace Eng., UCLA, Los Angeles, CA (1997).Google Scholar
[6] Tang, M., Kubin, L.P., and Canova, G.R., submitted to Acta Materialia.Google Scholar
[7] Zbib, H.M., Rhee, M., and Hirth, J.P., Int. J. Mech. Sci. 40, 113 (1998).Google Scholar
[8] Freund, L.B. and Kukta, R. (private communication).Google Scholar
[9] Schwarz, K.W. and Tersoff, J., Appl. Phys. Lett. 69, 1220 (1996).Google Scholar
[10] Schwarz, K.W., Phys. Rev. Lett. 78, 4785 (1997).Google Scholar
[11] Schwarz, K.W. and LeGoues, F.K., Phys. Rev. Lett. 79, 1877 (1997).Google Scholar
[12] Schwarz, K.W., J. Appl. Phys. (in press).Google Scholar
[13] Peach, M.O. and Koehler, J.S., Phys. Rev. 80, 436 (1950).Google Scholar
[14] Hirth, J.P. and Lothe, J., Theory of Dislocations, 2nd Ed. (Wiley, New York, 1982).Google Scholar
[15] Brown, L.M., Philos. Mag. 10, 441 (1964)Google Scholar
[16] Gosling, T.J. and Willis, J.R., J. Mech. Phys. Solids 42, 1199 (1994).Google Scholar