Modelling size effects using 3D density-based dislocation dynamics

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

*Korrespondierende/r Autor/in für diese Arbeit

Publikation: Beitrag in einer FachzeitschriftArtikel

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.

Originalspracheenglisch
Seiten (von - bis)1283-1306
Seitenumfang24
FachzeitschriftThe Philosophical Magazine
Jahrgang87
Ausgabenummer8-9
DOIs
PublikationsstatusVeröffentlicht - Mär 2007

ASJC Scopus subject areas

  • !!Materials Science(all)

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