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SUMMARY:Wrinkling and Creasing in Soft Solids: A Global Bifurcation and Sy
 mmetry-Breaking Approach to Surface Instabilities - Dr Shrinidhi Pandurang
 i\, CUED
DTSTART:20201113T143000Z
DTEND:20201113T150000Z
UID:TALK151750@talks.cam.ac.uk
CONTACT:Hilde Hambro
DESCRIPTION:Soft solids often exhibit complex deformation patterns under t
 he application of mechanical loads. In this talk\, we are motivated by the
  celebrated Biot problem (1965) of surface instability of an elastic half-
 space under compression. Using a linear stability analysis\, Biot’s work
  shows that an initially flat surface of a Neo-Hookean solid loses stabili
 ty to form surface wrinkles at a critical compressive strain. Whereas\, re
 cent experiments on rubber blocks under compression report the formation o
 f highly localized creases at a strain well below the strain predicted by 
 Biot’s analysis. To explain this discrepancy\, several methods proposed 
 in the existing literature rely on introducing ad-hoc imperfections in the
  model. Such a trial-and-error approach may or may not succeed\; when succ
 essful\, the results imply that creasing is a local bifurcation from the h
 omogeneous state of deformation\, which is known to be false.\n \nOur appr
 oach is based on the application of tools in bifurcation theory coupled wi
 th path-following numerical continuation. We exploit the inherent symmetry
  of the system and compute different symmetry-breaking bifurcation paths. 
 We study the stability of the equilibrium configurations on these paths us
 ing the criterion of local energy minimization along with Floquet-Bloch th
 eory. We present bifurcation diagrams to show that the highly localized st
 able creases are not local bifurcations from the homogeneous deformations.
  They rather evolve as localization of wrinkles along global bifurcation p
 aths far away from the initial instability of the flat state. \n
LOCATION:zoom 853 4440 7455 - for password email  hh463@cam.ac.uk 
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