Dislocation transport and line length increase in averaged descriptions of dislocations

T. Hochrainer, M. Zaiser, P. Gumbsch

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

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

Fingerprint

plastic properties
tensors
continuums
crystals
kinematics
curvature
simulation
interactions

Keywords

  • Continuum tlieory of dislocations
  • Dislocations dynamics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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

Dislocation transport and line length increase in averaged descriptions of dislocations. / Hochrainer, T.; Zaiser, M.; Gumbsch, P.

Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009. 2009. p. 1133-1136 (AIP Conference Proceedings; Vol. 1168).

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

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. AIP Conference Proceedings, vol. 1168, pp. 1133-1136, International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009, Rethymno, Crete, Greece, 18/09/09. https://doi.org/10.1063/1.3241258
Hochrainer T, Zaiser M, Gumbsch P. 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. 2009. p. 1133-1136. (AIP Conference Proceedings). https://doi.org/10.1063/1.3241258
Hochrainer, T. ; Zaiser, M. ; Gumbsch, P. / Dislocation transport and line length increase in averaged descriptions of dislocations. Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009. 2009. pp. 1133-1136 (AIP Conference Proceedings).
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