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UID:20260804T055648EDT-6446tkjZJT@132.216.98.100
DTSTAMP:20260804T095648Z
DESCRIPTION:Eliot Fried\n91Ë¿¹ÏÊÓƵ\nWhen a thin rectangular sheet i
 s clamped along two opposing\nedges and stretched\, its inability to accom
 modate the Poisson\ncontraction near the clamps may lead to the formation 
 of wrinkles\nwith crests and troughs parallel to the axis of stretch. A\nv
 ariational model for this phenomenon is proposed. The underlying\nenergy f
 unctional includes bending and membranal contributions.\nMotivated by work
  of Cerda\, Ravi-Chandar\, and Mahadevan\, the\nfunctional is minimized su
 bject to a global constraint on the area\nof the mid-surface of the sheet.
  Analysis of a boundary-value\nproblem for the ensuing EulerLagrange equat
 ion shows that wrinkled\nsolutions exist only above a threshold of the app
 lied stretch. A\nsequence of critical values of the applied stretch\, each
  element of\nwhich corresponds to a discrete number of wrinkles\, is deter
 mined.\nWhenever the applied stretch is sufficiently large to induce more
 \nthan one wrinkle\, previously proposed scaling relations for the\nwrinkl
 e wavelength and amplitude are confirmed. Comparisons with\nexperimental m
 easurements and numerical results indicate that the\nanalytical results ar
 e remarkably robust.\n
DTSTART:20110131T210000Z
DTEND:20110131T210000Z
LOCATION:Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke 
 Ouest
SUMMARY:Wrinkling of a stretched thin sheet
URL:/channels/event/wrinkling-stretched-thin-sheet-171
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