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The Quarterly Journal of Mechanics and Applied Mathematics Advance Access published online on March 3, 2008

The Quarterly Journal of Mechanics and Applied Mathematics, doi:10.1093/qjmam/hbn002
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© The author 2008. Published by Oxford University Press; all rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

ON THE BUCKLING OF ELASTIC PLATES

N. J. Balmforth

( (Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, British Columbia V6T 1Z2, Canada and Department of Earth and Ocean Science, University of British Columbia, 6339 Stores Road, Vancouver, British Columbia V6T 1Z4, Canada) )

R. V. Craster{dagger}

( (Department of Mathematics, Imperial College London, South Kensington Campus, London SW7 2AZ) )

A. C. Slim

( (Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, British Columbia V6T 1Z2, Canada) )

{dagger} < r.craster{at}imperial.ac.uk >

Received 12 September 2007. Revise 17 December 2007.
   Abstract

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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