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SUMMARY:Complex analysis and nonlinear elasticity: the Biot instability re
 visited. - Martine Ben Amar (CNRS - Ecole Normale Superieure Paris\; Unive
 rsité Pierre et Marie Curie Paris)
DTSTART:20191028T100000Z
DTEND:20191028T110000Z
UID:TALK133177@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The Biot instability is probably the most useful tool to expla
 in many features in morphogenesis of soft tissues. It explains pretty well
  the circumvolutions of the brain\, the villi of our intestine or our fing
 erprints. Nevertheless\, the theory remains technically difficult for two 
 main reasons: the constraint of incompressibility but also the geometry of
  finite samples. For the simplest case\, that is the semi-infinite Neo-Hoo
 kean sample under growth or compression\, I will show that complex analysi
 s offers a simple way to treat the buckling instability at the Biot  thres
 hold\,but also above and below the threshold.  
LOCATION:Seminar Room 1\, Newton Institute
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