Convergence of Equilibria of Thin Elastic Plates - The Von Karman Case
Stefan G. Müller, Mohammad Reza Pakzad · Communications in Partial Differential Equations · 2008
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 4 (and that the stored energy density function satisfies a technical growth condition). This extends recent convergence results for absolute minimizers.