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Statistical Dislocation Dynamics – Multiplication and Long Range Interactions

Published online by Cambridge University Press:  15 February 2011

Michael Zaiser and
Anter El-Azab
Michael Zaiser
Affiliation:
Center for Materials Science and Engineering, The University of Edinburgh, King's Buildings, Sanderson Building, Edinburgh EH93JL, U.K.
Anter El-Azab
Affiliation:
Fundamental Science Directorate, Pacific Northwest National Laboratory, Mail Stop: K8-93, Box 999, Richland, WA 99352, U.S.A.
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Abstract

We discuss dislocation multiplication and long range interactions in the framework of threedimensional (3-D) statistical dislocation dynamics. It is found that the long range interactions render the conservation equation for the ensemble-averaged dislocation density nonlinear and nonlocal. It is also shown that the conservation equation for the dislocation density must be supplemented by a gauge constraint in order to account for dislocation multiplication.

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References

[1] Devincre, B., Kubin, L.P., Lemarchand, C., Madec, R., Materials Science and Engineering A 309-310, 211 (2001).Google Scholar
[2] Ghoniem, N.M., Huang, J., Journal de Physique IV 11, Pr5–53 (2001).Google Scholar
[3] Zbib, H.M., Rubia, T. Diaz de la, Rhee, M., Hirth, J.P., Journal of Nuclear Materials 276, 154 (2000).Google Scholar
[4] Bek'o, B. and Groma, I., Physical Review B 60, 122 (1999).Google Scholar
[5] Zaiser, M., Materials Science and Engineering A 309-310, 304 (2001).Google Scholar
[6] Zaiser, M., Miguel, M.-C., and Groma, I., Physical Review B 64, 224102 (2002).Google Scholar
[7] Groma, I., Physical Review B 56, 5807 (1997).Google Scholar
[8] Groma, I., Bek'o, B., Physical Review B 58, 2969 (1998).Google Scholar
[9] Groma, I., Csikor, F. und Zaiser, M., Acta Materialia 51, 1271 (2003).Google Scholar
[10] Malygin, G.A., Physics-Uspekhi 42, 887 (1999).Google Scholar
[11] El-Azab, A., Physical Review B 61, 11956 (2000).Google Scholar
[12] El-Azab, A. in Structured Media, Ekkehart Kroener memorial symposium, edited by Maruszewski, B.T. (Poznan University of Technology, 2001) pp. 59–70.Google Scholar
[13] El-Azab, A., unpublished manuscript.Google Scholar
[14] Wit, R. de, Physica status solidi 20, 567 (1967)Google Scholar
[15] Devincre, B. and Condat, M., Acta Metallurgica et Materialia 40, 2629 (1992).Google Scholar
[16] Suzuki, T., Takeuchi, S., and Yoshinaga, H, Dislocation Dynamics and Plasticity, (Springer-Verlag, Berlin, 1985).Google Scholar