Dislocation transport and line length increase in averaged descriptions of dislocations

Details Dislocation transport and line length increase in averaged descriptions of dislocations Dislocation transport and line length increase in averaged descriptions of dislocations

2010-10-14

arxiv.org/abs/1010.2884v1

Physics

Condensed Matter

Materials Science

Scientific paper

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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