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.
A note on the derivation of homogenized bending plate model
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.