Abstract
Asymptotic expansions are derived for compressive solutions of the von Kármán equations for a thin circular plate under transverse and lateral load, with the edge elastically supported against rotation. Compressive solutions of this nonlinear singular perturbation problem are related to Föppl membrane solutions and exhibit global breakdown. A connection to known unstable solutions in the limit of small transverse load is noted. Formal analysis suggests the relationship between compressive membrane and plate solutions does not extend to the clamped plate.
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