The Energy of Crumpled Sheets in Föppl-von Kármán Plate Theory
نویسنده
چکیده
Abstract. We study investigate a long, thin rectangular elastic membrane that is bent through an angle 2α, using the Föppl–von Kármán ansatz in a geometrically linear setting. We study the associated variational problem, and show the existence of a minimizer for the elastic energy. We also prove rigorous upper and lower bounds for the minimum energy of this configuration in terms of the plate thickness σ and the bending angle, and we also obtain results for the structure of the elastic ridge along it’s length.
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تاریخ انتشار 2003