Document Detail

Compression induced folding of a sheet: an integrable system.
MedLine Citation:
PMID:  22107387     Owner:  NLM     Status:  In-Data-Review    
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.
Haim Diamant; Thomas A Witten
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Publication Detail:
Type:  Journal Article     Date:  2011-10-11
Journal Detail:
Title:  Physical review letters     Volume:  107     ISSN:  1079-7114     ISO Abbreviation:  Phys. Rev. Lett.     Publication Date:  2011 Oct 
Date Detail:
Created Date:  2011-11-23     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401141     Medline TA:  Phys Rev Lett     Country:  United States    
Other Details:
Languages:  eng     Pagination:  164302     Citation Subset:  IM    
Raymond & Beverly Sackler School of Chemistry, Tel Aviv University, Tel Aviv 69978, Israel and Department of Physics and James Franck Institute, University of Chicago, Chicago, Illinois 60637, USA.
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