## Derivation of a homogenized nonlinear plate theory from 3d elasticity

- Peter Hornung, Stefan Neukamm, Igor Velčić
- Calculus of Variations and Partial Differential…
- 2013

We carry out the spatially periodic homogenization of nonlinear bending theory for plates. The derivation is rigorous in the sense of Γ-convergence. In contrast to what one naturally would expect, our result shows that the limiting functional is not simply a quadratic functional of the second fundamental form of the deformed plate as it is the case in… (More)