Journal
PHYSICAL REVIEW LETTERS
Volume 107, Issue 16, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.107.164302
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Funding
- US-Israel Binational Science Foundation [2006076]
- National Science Foundation's MRSEC [DMR 0820054]
- Div Of Electrical, Commun & Cyber Sys
- Directorate For Engineering [2006076] Funding Source: National Science Foundation
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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.
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