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Upscaling of the dynamics of dislocation walls
Eindhoven University of Technology.
Eindhoven University of Technology. (Mathematics)ORCID-id: 0000-0002-1160-0007
2014 (engelsk)Inngår i: Advances in Mathematical Sciences and Applications, ISSN 1343-4373, Vol. 24, nr 2, s. 401-414Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

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 Γ-convergence of the respective energies are properties of paramount importance for our arguments.

sted, utgiver, år, opplag, sider
Tokyo, Japan, 2014. Vol. 24, nr 2, s. 401-414
Emneord [en]
upscaling dislocation dynamics
HSV kategori
Forskningsprogram
Matematik
Identifikatorer
URN: urn:nbn:se:kau:diva-39825OAI: oai:DiVA.org:kau-39825DiVA, id: diva2:901190
Tilgjengelig fra: 2016-02-06 Laget: 2016-02-06 Sist oppdatert: 2017-03-29bibliografisk kontrollert

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