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arXiv · 1010.2884

Dislocation transport and line length increase in averaged descriptions of dislocations

Thomas Hochrainer·Michael Zaiser·Peter Gumbsch
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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.

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Thomas Hochrainer, Michael Zaiser, Peter Gumbsch. 2010-10-14. Dislocation transport and line length increase in averaged descriptions of dislocations. https://arxiv.org/abs/1010.2884

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