@inproceedings{134d800e9e0c4d6193616cfd16cc38e6,
title = "Dislocation transport and line length increase in averaged descriptions of dislocations",
abstract = "Crystal plasticity is the result of the motion and interaction of dislocations. There is, however, still a major gap between microscopic and mesoscopic simulations and continuum crystal plasticity models. Only recently a higher dimensional dislocation density tensor was defined which overcomes some drawbacks of earlier dislocation density measures. The evolution equation for this tensor can be considered as a continuum version of dislocation dynamics. We use this evolution equation to develop evolution equations for the total dislocation density and an average curvature which together govern a faithful representation of the dislocation kinematics without having to use extra dimensions.",
keywords = "Continuum tlieory of dislocations, Dislocations dynamics",
author = "T. Hochrainer and M. Zaiser and P. Gumbsch",
year = "2009",
doi = "10.1063/1.3241258",
language = "English",
isbn = "9780735407091",
series = "AIP Conference Proceedings",
pages = "1133--1136",
booktitle = "Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009",
note = "International Conference on Numerical Analysis and Applied Mathematics : ICNAAM 2009 ; Conference date: 18-09-2009 Through 22-09-2009",
}