Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.
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.