Dislocation transport and line length increase in averaged descriptions of dislocations

T. Hochrainer*, M. Zaiser, P. Gumbsch

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference paperpeer-review


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.

Original languageEnglish
Title of host publicationNumerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
Number of pages4
Publication statusPublished - 2009
EventInternational Conference on Numerical Analysis and Applied Mathematics: ICNAAM 2009 - Rethymno, Greece
Duration: 18 Sept 200922 Sept 2009

Publication series

NameAIP Conference Proceedings


ConferenceInternational Conference on Numerical Analysis and Applied Mathematics


  • Continuum tlieory of dislocations
  • Dislocations dynamics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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