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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:
Feb 8, 2013
Published:
Feb 13, 2013

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