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SUMMARY:Coupling of rate-independent and rate-dependent systems with appli
 cation to delamination processes in solids - Marita Thomas (Weierstrass In
 stitute Berlin)
DTSTART:20191010T140000Z
DTEND:20191010T150000Z
UID:TALK129559@talks.cam.ac.uk
CONTACT:Edriss S. Titi
DESCRIPTION:This talk addresses the modeling of delamination processes in 
 elastic solids \nusing an internal delamination variable with a rate-indep
 endent\, unidirectional evolution law. \nThis covers models for brittle\, 
 Griffith-type delamination\, which describe sharp \ncracks in terms of a n
 on-smooth constraint confining displacement jumps across \ninterfaces to t
 he null set of the delamination variable\, as well as adhesive contact mod
 els\, \nwhich regularize this constraint by a finite surface energy contri
 bution. \nA notion of solution suited for non-smooth PDE-systems of couple
 d rate-dependent and rate-independent dynamics introduced. \nExistence res
 ults for the delamination models are deduced. \nIn this context\, for a vi
 scoelastic solid with dynamic effects\, \nthe limit passage from models fo
 r adhesive contact to brittle\, Griffith-type delamination is discussed in
  the sense of evolutionary Gamma-convergence. \nFine properties of the sol
 utions are established by studying a simplified model.  
LOCATION:MR 14
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