Compression induced folding of a sheet: an integrable system

Details Compression induced folding of a sheet: an integrable system Compression induced folding of a sheet: an integrable system

2011-07-27

arxiv.org/abs/1107.5505v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages

Scientific paper

10.1103/PhysRevLett.107.164302

The apparently intractable shape of a fold in a compressed elastic film lying on a fluid substrate is found to have an exact solution. Such systems buckle at a nonzero wavevector set by the bending stiffness of the film and the weight of the substrate fluid. Our solution describes the entire progression from a weakly displaced sinusoidal buckling to a single large fold that contacts itself. The pressure decrease is exactly quadratic in the lateral displacement. We identify a complex wavevector whose magnitude remains invariant with compression.

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