Hostname: page-component-8448b6f56d-m8qmq Total loading time: 0 Render date: 2024-04-19T01:15:23.069Z Has data issue: false hasContentIssue false

On Dislocation Reactions and Hardening Mechanisms in 3D Dislocation Dynamics

Published online by Cambridge University Press:  10 February 2011

H.M. Zbiib
Affiliation:
School of MME, Washington State University, Pullman, WA 99164-2920.
M. Rhee
Affiliation:
Lawrence Livermore National Laboratory, USA
J.P. Hirth
Affiliation:
School of MME, Washington State University, Pullman, WA 99164-2920.
T. D. DE LA Rubia
Affiliation:
Lawrence Livermore National Laboratory, USA
Get access

Abstract

A 3D dislocation dynamics (DD) model for plastic deformation, which connects the macroscopic mechanical properties to the basic physical laws that govern dislocation mobility and related interaction mechanisms, has been under development. In this model there is a set of critical reactions that, basically, determine the overall results of the simulations. These reactions are annihilation, formation of jogs, junctions, dipoles, and cross-slip. In this paper we discuss these reactions and the manner in which they influence the predicted stress-strain behavior in bcc metals. In particular, the formation (zipping) and strength of dipoles and junctions, and effect of jogs, using the dislocation dynamics model are examined. The strengths (unzipping) of these reactions for various configurations are determined by direct evaluation of the elastic interaction forces.

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. Mader, S., Seeger, A. and Thieringer, H.M., J. Appl. Phys. 34, p. 33763386 (1963).Google Scholar
2. Mughrabi, H., Mater. Sci. Engng, 85, p. 1531 (1987).Google Scholar
3. Whelanin, M.S., in: The Physics of Metals, edited by Hirsch, P.B., Part 2: Defects, Cambridge Univ. Press, p. 98 (1975).Google Scholar
4. Essmann, U. and Mughrabi, H., Phil. Mag. A, 40, No. 6, p.731756 (1979).Google Scholar
5. Woods, P.J., Phil. Mag. 28, p. 155191 (1973).Google Scholar
6. Hansen, N. and Kuhlmann-Wilsdorf, D., Matl. Sci. Eng., 81 p 141 (1986).Google Scholar
7. Kuhlmann-Wilsdorf, D., Mat. Res. Innovat, 1, p. 265 (1989).Google Scholar
8. Holt, D., J. Appl. Phys., 41, 31973201 (1970).Google Scholar
9. Aifantis, E.C., Sol. Stat. Phenom., 3 & 4, 397– (1988).Google Scholar
10. Kubin, L. P., Phys. Stat. Sol (a), 135, 433– (1993).Google Scholar
11. Canova, G. R. Brechet, Y. and Kubin, L.P., in: Modelling of Plastic Deformation and Its Engineering Applications, edited by Anderson, S.I. et al, Riso National Laboratory, Roskilde, Denmark. (1992).Google Scholar
12. Zbib, H. M., Rhee, M. and Hirth, J.P., Int. J. Mech. Science, 40, p. 113127 (1998).Google Scholar
13. Rhee, M., Zbib, H.M. and Hirth, J.P., Modeling, J.P. & Simulations in Mater. Sci. & Engr, 6, p. 467492 (1998).Google Scholar
14. Hirth, J.P., Rhee, M. and Zbib, H.M., J. Computer-Aided Materials Design, 3, p. 164166, (1996).Google Scholar
15. Hirth, J.P. and Lothe, J., J., Theory of Dislocations, Wiley, NY. (1982).Google Scholar
16. Wit, R. de, Phys. Stat. Sol., 20, p. 567 (1967).Google Scholar
17. Urabe, N. N. and Weertman, J., Mater. Sci. Eng., 18, 41 (1975).Google Scholar
18. Hirth, J.P., Zbib, H.M. and Lothe, J., Modeling & Simulations in Maters. Sci. & Enger. 6, 165169 (1998).Google Scholar
19. Huang, H., Ghoniem, N., Rubia, T. Diaz de la, Rhee, M., Zbib, H.M. and Hirth, J.P., to appear in ASME-JEMT, 1999.Google Scholar
20. Zhou, S.J., Preston, D.L., Lomdahl, P.S. and Beazley, D. M., Science 279, p. 1525 (1998).Google Scholar
21. Bulatov, V., Abraham, F. F., Kubin, L., Devincre, B. and Yip, S., Nature 392, p.669 (1998).Google Scholar
22. Friedel, J., Dislocations, Pergamon, Oxford (1964).Google Scholar