Modelling size effects using 3D density-based dislocation dynamics

M. Zaiser, N. Nikitas, T. Hochrainer, E. C. Aifantis

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We use density-based continuity equations to model strain patterns and size effects in confined plastic flow, namely, shearing of thin films and microbending. To this end, we use a representation in terms of coupled equations for the densities of screw and edge components. We show how these equations derive from a more general formulation in a higher-dimensional configuration space, and discuss relations with other density-based approaches proposed in the past. The new element here is the incorporation into previous continuum formulations of geometrical features and interactions of dislocation lines that cannot be neglected or 'averaged out' within a three-dimensional setting of plasticity at the micron and nano-scales.

Original languageEnglish
Pages (from-to)1283-1306
Number of pages24
JournalThe Philosophical Magazine
Volume87
Issue number8-9
DOIs
Publication statusPublished - Mar 2007

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Plastic flow
Shearing
Plasticity
Thin films
formulations
plastic flow
continuity equation
screws
shearing
plastic properties
continuums
thin films
configurations
interactions

ASJC Scopus subject areas

  • Materials Science(all)

Cite this

Modelling size effects using 3D density-based dislocation dynamics. / Zaiser, M.; Nikitas, N.; Hochrainer, T.; Aifantis, E. C.

In: The Philosophical Magazine, Vol. 87, No. 8-9, 03.2007, p. 1283-1306.

Research output: Contribution to journalArticleResearchpeer-review

Zaiser, M. ; Nikitas, N. ; Hochrainer, T. ; Aifantis, E. C. / Modelling size effects using 3D density-based dislocation dynamics. In: The Philosophical Magazine. 2007 ; Vol. 87, No. 8-9. pp. 1283-1306.
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