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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.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 779: Symposium W – Multiscale Phenomena in Materials - Experiments and Modeling Related to Mechanical Behavior , 2003 , W5.7
Copyright
Copyright © Materials Research Society 2003

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