Upscaling of the dynamics of dislocation walls

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

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Abstract

We perform the discrete-to-continuum limit passage for a microscopic model describing the time evolution of dislocations in a one dimensional setting. This answers the related open question raised by Geers et al. in [GPPS13]. The proof of the upscaling procedure (i.e. the discrete-to-continuum passage) relies on the gradient flow structure of both the discrete and continuous energies of dislocations set in a suitable evolutionary variational inequality framework. Moreover, the convexity and I'-convergence of the respective energies are properties of paramount importance for our arguments.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages11
Publication statusPublished - 2014

Publication series

NameCASA-report
Volume1432
ISSN (Print)0926-4507

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Meurs, van, P. J. P., & Muntean, A. (2014). Upscaling of the dynamics of dislocation walls. (CASA-report; Vol. 1432). Eindhoven: Technische Universiteit Eindhoven.