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Dislocation transport and line length increase in averaged descriptions of dislocations

: Hochrainer, T.; Zaiser, M.; Gumbsch, P.


Simos, T.E. ; European Society of Computational Methods in Sciences and Engineering -ESCMSE-:
Numerical analysis and applied mathematics. International Conference on Numerical Analysis and Applied Mathematics 2009. Vol.2 : Rethymno, Crete, Greece, 18 - 22 September 2009
New York, N.Y.: AIP Press, 2009 (AIP Conference Proceedings 1168)
ISBN: 978-0-7354-0708-4
ISBN: 978-0-7354-0709-1
ISSN: 0094-243X
International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) <2009, Rethymno/Crete>
Fraunhofer IWM ()
continuum theory of dislocation; dislocation dynamic; distribution

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.