Upscaling of dislocation walls in finite domains

P.J.P. Meurs, van, A. Muntean, M.A. Peletier

Onderzoeksoutput: Boek/rapportRapportAcademic

98 Downloads (Pure)

Samenvatting

We wish to understand the macroscopic plastic behaviour of metals by upscaling the micro-mechanics of dislocations. We consider a highly simplified dislocation network, which allows our microscopic model to be a one dimensional particle system, in which the interactions between the particles (dislocation walls) are singular and non-local. As a first step towards treating realistic geometries, we focus on finite-size effects rather than considering an in finite domain as typically discussed in the literature. We derive effective equations for the dislocation density by means of G-convergence on the space of probability measures. Our analysis yields a classification of macroscopic models, in which the size of the domain plays a key role. Keywords: Plasticity; Multiscale; Straight edge-dislocations; Discrete-to-continuum limit; G-convergence
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijTechnische Universiteit Eindhoven
Aantal pagina's30
StatusGepubliceerd - 2013

Publicatie series

NaamCASA-report
Volume1321
ISSN van geprinte versie0926-4507

Vingerafdruk

Duik in de onderzoeksthema's van 'Upscaling of dislocation walls in finite domains'. Samen vormen ze een unieke vingerafdruk.

Citeer dit