2014/10/14 by Péter Hornung, Peter Hornung, Hornung, Peter · 1 citation
Engineering · Materials Science · Mathematics · #Adhesion, Friction, and Surface Interactions #Advanced Materials and Mechanics #Liquid Crystal Research Advancements #math.AP
paper · pdf · doi:10.48550/arxiv.1410.3806
arxiv created 2014/10/14 · arxiv updated 2014/10/15
We study the natural non-flat version of the so-called "constrained von Karman" theory for thin nonlinearly elastic films. We prove that every (admissible) radially symmetric out-of-plane displacement on the unit disk is a stationary point. This allows us to construct data leading to constrained von Karman functionals which have infinitely many stationary points.