The Föppl-von Kármán equations are used to explore the onset of linear instability and the subsequent nonlinear development of buckling patterns in a flat elastic plate due to an imposed shear or body force such as gravity. Experimental results are also presented for a clamped and sheared sheet of Neoprene rubber and these compare favourably with theory.
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Balmforth et al. (2008) studied this question.
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