Dislocation transport and line length increase in averaged descriptions of dislocations
Materials Science
2010-10-15 v1
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
Cite
@article{arxiv.1010.2884,
title = {Dislocation transport and line length increase in averaged descriptions of dislocations},
author = {Thomas Hochrainer and Michael Zaiser and Peter Gumbsch},
journal= {arXiv preprint arXiv:1010.2884},
year = {2010}
}