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SUMMARY:Buckling and wrinkling of elastic plates: theory and experiment - 
 Prof. Richard Craster (Imperial College London)
DTSTART:20090206T163000Z
DTEND:20090206T173000Z
UID:TALK16656@talks.cam.ac.uk
CONTACT:Nami Norman
DESCRIPTION:The von Karman- Foppl equations are a nonlinear extension of t
 he usual linear elastic plate equations allowing for both in-plane stretch
 ing and out-of-plane deformation. The equations are popular in areas of th
 e Physics community and our aim is to solve them both analytically\, asymp
 totically and numerically and then compare to experiments.  We use the equ
 ations to explore the onset of linear instability and the subsequent nonli
 near development of buckling patterns in a flat elastic plate due to an im
 posed shear or body force such as gravity. In particular the spacing of th
 e buckles\, their amplitude and the envelope of their displacement can be 
 identified. For comparison experimental results are also presented for a c
 lamped and sheared sheet of Neoprene rubber and thus we can quantify how e
 ffective these equations are at predicting reality. Moving on from this we
  then consider how an underlying flowing fluid affects wrinkling or buckli
 ng and this forms a simple model of flow beneath a solidifying skin such a
 s one sees in some lava flows.\n\nThis is joint work with Neil Balmforth &
  Anja Slim (UBC\, Canada)\n
LOCATION:Engineering Department -LR6
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