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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
23/2013

Derivation of a homogenized nonlinear plate theory from 3d elasticity

Peter Hornung, Stefan Neukamm and Igor Velčić

Abstract

We derive, via simultaneous homogenization and dimension reduction, the $\Gamma$-limit for thin elastic plates whose energy density oscillates on a scale that is either comparable to, or much smaller than, the film thickness. We consider the energy scaling that corresponds to Kirchhoff's nonlinear bending theory of plates.

Received:
08.02.13
Published:
13.02.13

Related publications

inJournal
2014 Repository Open Access
Peter Hornung, Stefan Neukamm and Igor Velčić

Derivation of a homogenized nonlinear plate theory from 3d elasticity

In: Calculus of variations and partial differential equations, 51 (2014) 3/4, pp. 677-699