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MiS Preprint
34/2013
A note on the derivation of homogenized bending plate model
Igor Velčić
Abstract
We derive, via simultaneous homogenization and dimension reduction, the $\Gamma$-limit for thin elastic plates of thickness $h$ whose energy density oscillates on a scale $\epsilon(h)$ such that $ \epsilon(h)^2 \ll h\ll \epsilon(h)$. We consider the energy scaling that corresponds to Kirchhoff's nonlinear bending theory of plates.
