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SUMMARY:New models for highly deformable structures - Claire Lestringant (
 University of Cambridge)
DTSTART:20200522T140000Z
DTEND:20200522T150000Z
UID:TALK142534@talks.cam.ac.uk
CONTACT:Dr Maria Marques de Carvalho
DESCRIPTION:Flexibility is becoming a key feature in structural engineerin
 g\, used for the design of multi-stable\, reconfigurable space structures\
 , sensors or soft robots. Thin\, deformable structures invade materials sc
 ience: recent additive manufacturing techniques combine active materials w
 ith microstructural design\, paving the way towards engineering materials 
 with properties tunable in time. There is a strong need for theoretical an
 d numerical tools that can efficiently predict the mechanical response of 
 these advanced structures. The example of localization highlights this nee
 d: it occurs in a variety of slender structures\, from necks in polymer ba
 rs under traction to bulges in cylindrical party balloons and folds in tap
 e-springs. In all these systems\, distinct states of deformation may coexi
 st\, and classical one-dimensional (1D) models fail to describe interfaces
 \, or finite size effects.\nI will first present a discrete\, geometricall
 y exact beam formulation that can efficiently and accurately capture the n
 onlinear deformation of slender beams featuring complex material behaviour
 . It fully decouples the kinematics from the material behaviour and can th
 us handle a wide class of constitutive laws depending on the stretching\, 
 flexural and torsional strain and strain rates. In a second part of the ta
 lk\, I will introduce a systematic method to establish 1D models depending
  on strain and on strain gradient\, thus accurately capturing interfaces d
 uring localisation. It consists in a formal expansion performed near a fin
 itely pre-strained state and therefore retains all sources of nonlinearity
 \, coming from the geometry and from the constitutive law. I will illustra
 te the method on the example of elastocapillary necking.\n
LOCATION:Zoom (email structures-admin@eng.cam.ac.uk for link)
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