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SUMMARY:Micro-to-macro homogenization for elasto-plasticity driven by disl
 ocation motion - Filip Rindler (University of Warwick)
DTSTART:20250819T094500Z
DTEND:20250819T103000Z
UID:TALK234718@talks.cam.ac.uk
DESCRIPTION:The homogenization problem in elasto-plasticity concerns the p
 assage from discrete to fields of dislocations. While much consensus exist
 s on what the physical laws are for the individual dislocations\, it is no
 t clear - and in fact one of the most pressing open problems of solid mech
 anics - how to formulate laws for the movement of dislocation fields and t
 he corresponding elasto-plastic effects. I will present some recent result
 s showing that in a prototypical model of small-strain\, geometrically lin
 ear plasticity in single crystals and with rate-independent dynamics\, suc
 h a homogenization procedure from discrete dislocation lines to dislocatio
 n fields can indeed be carried out in a rigorous fashion.
LOCATION:Seminar Room 1\, Newton Institute
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