Derivation of a homogenized nonlinear plate theory from 3d elasticity
Analysis of PDEs
2012-10-23 v2
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.
Cite
@article{arxiv.1210.5461,
title = {Derivation of a homogenized nonlinear plate theory from 3d elasticity},
author = {Peter Hornung and Stefan Neukamm and Igor Velcic},
journal= {arXiv preprint arXiv:1210.5461},
year = {2012}
}