Compression Induced Folding of a Sheet: An Integrable System

作者:Diamant Haim*; Witten Thomas A
来源:Physical Review Letters, 2011, 107(16): 164302.
DOI:10.1103/PhysRevLett.107.164302

摘要

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 wave vector 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 wave vector whose magnitude remains invariant with compression.

  • 出版日期2011-10-11