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 contribution

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.

Original languageEnglish
Title of host publicationNumerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
Pages1133-1136
Number of pages4
DOIs
Publication statusPublished - 2009
EventInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 - Rethymno, Crete, Greece
Duration: 18 Sep 200922 Sep 2009

Publication series

NameAIP Conference Proceedings
Volume1168

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
CountryGreece
CityRethymno, Crete
Period18/09/0922/09/09

Keywords

  • Continuum tlieory of dislocations
  • Dislocations dynamics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Dislocation transport and line length increase in averaged descriptions of dislocations'. Together they form a unique fingerprint.

  • Cite this

    Hochrainer, T., Zaiser, M., & Gumbsch, P. (2009). Dislocation transport and line length increase in averaged descriptions of dislocations. In Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 (pp. 1133-1136). (AIP Conference Proceedings; Vol. 1168). https://doi.org/10.1063/1.3241258