Upscaling of the dynamics of dislocation walls
2014 (English)In: Advances in Mathematical Sciences and Applications, ISSN 1343-4373, Vol. 24, no 2, 401-414 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
Tokyo, Japan, 2014. Vol. 24, no 2, 401-414 p.
upscaling dislocation dynamics
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kau:diva-39825OAI: oai:DiVA.org:kau-39825DiVA: diva2:901190