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SUMMARY:Making do with less: optimal wrapping of liquid droplets with ultr
 athin sheets.  - Joseph Paulsen (Syracuse University)
DTSTART:20160415T150000Z
DTEND:20160415T160000Z
UID:TALK65283@talks.cam.ac.uk
CONTACT:Doris Allen
DESCRIPTION:Many objects in nature and industry are enclosed in protective
  wrappings. I will show how an initially-flat polymer film wraps a water d
 roplet whose volume is gradually decreased. The resulting conformations ar
 e highly non-axisymmetric and are patterned with small-scale wrinkles\, fo
 lds\, and crumples\, all interacting in a non-uniform curved geometry. Rem
 arkably\, the essence of the wrapping process can be understood without de
 scribing any of these complicated small-scale features. In particular\, a 
 thin sheet spontaneously maximizes the volume of the enclosed liquid\, giv
 en a fixed area of the initially flat sheet. I will close by discussing th
 e application of this geometric principle to other settings.​
LOCATION:MR3\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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