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SUMMARY:Elasto-plasticity driven by dislocation movement via space-time cu
 rrents - Filip Rindler\, University of Warwick
DTSTART:20240219T140000Z
DTEND:20240219T150000Z
UID:TALK211222@talks.cam.ac.uk
CONTACT:Amelie Justine Loher
DESCRIPTION:This talk presents some recent progress on the analysis of mod
 els coupling large-strain\, geometrically nonlinear elasto-plasticity with
  the movement of dislocations. In particular\, a new approach\, building o
 n tools from Geometric Measure Theory\, is introduced that yields a natura
 l mathematical framework for dislocation evolutions. The fundamental notio
 n is the two-dimensional "slip trajectory" in space-time (realized as an i
 ntegral 2-current) and the dislocations at a given time are recovered via 
 slicing. This modelling approach allows one to prove the existence of solu
 tions to an evolutionary system describing a crystal undergoing large-stra
 in elasto-plastic deformations\, where the plastic part of the deformation
  is driven directly by the movement of dislocations. This is joint work wi
 th P. Bonicatto (Trento)\, G. Del Nin (MPI Leipzig)\, T. Hudson (Warwick).
LOCATION:MR13
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