BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Analysis of coupled atomistic/continuum models for solids - Dr Chr
 istoph Ortner\, Mathematical Institute\, University of Oxford
DTSTART:20100129T140000Z
DTEND:20100129T150000Z
UID:TALK22439@talks.cam.ac.uk
CONTACT:Ms Helen Gardner
DESCRIPTION:Low energy equilibria of crystalline materials are typically c
 haracterised by localized defects that interact with their environment thr
 ough long-range elastic fields. By coupling atomistic models of the defect
 s with continuum models of the elastic fields one can\, in principle\, obt
 ain models with near-atomistic accuracy with significantly reduced computa
 tional complexity. However\, several pitfalls need to be overcome to find 
 a reliable coupling mechanism.\nIn this talk I will present some of the ma
 in ideas for coupling atomistic and continuum models for solids at the mic
 roscale: (i) energy-based coupling\; (ii) force-based coupling\; and (iii)
  direct coarse-graining without coupling. The focus will be on a  rigorous
  analysis of the coupling mechanisms\, such as the derivation\nof rigorous
  error estimates\, and sharp stability analyses. I will concentrate primar
 ily on the force-based approach which appears the most promising route at 
 present.
LOCATION:Oatley Seminar Room\, Department of Engineering
END:VEVENT
END:VCALENDAR