Convergence of equilibria of thin elastic plates – the von Kármán case

@inproceedings{Mller2007ConvergenceOE,
title={Convergence of equilibria of thin elastic plates – the von K{\'a}rm{\'a}n case},
author={Stefan M{\"u}ller and Mohammed Reza Pakzad},
year={2007}
}

We study the behaviour of thin elastic bodies of fixed cross-section and of height h , with h → 0. We show that critical points of the energy functional of nonlinear three-dimensional elasticity converge to critical points of the von Kármán functional, provided that their energy per unit height is bounded by Ch (and that the stored energy density function satisfies a technical growth condition). This extends recent convergence results for absolute minimizers.