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SUMMARY:Manuel Friedrich (University of Muenster)
DTSTART:20210419T134000Z
DTEND:20210419T151000Z
DTSTAMP:20260405T174757Z
UID:NSCM/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/34/">Em
 ergence of rigid polycrystals from atomistic systems</a>\nby Manuel Friedr
 ich (University of Muenster) as part of Nečas Seminar on Continuum Mechan
 ics\n\n\nAbstract\nWe investigate the emergence of rigid polycrystalline s
 tructures from atomistic particle systems. The atomic interaction is gover
 ned by a suitably normalized pair interaction energy\, where the `sticky d
 isk’ interaction potential models the atoms as hard spheres that interac
 t when they are tangential. The discrete energy is frame invariant and no 
 underlying reference lattice on the atomistic configurations is assumed. B
 y means of Gamma-convergence\, we characterize the asymptotic behavior of 
 configurations with finite surface energy scaling in the infinite particle
  limit. The effective continuum theory is described in terms of a piecewis
 e constant field delineating the local orientation and micro-translation o
 f the configuration. The limiting energy is local and concentrated on the 
 grain boundaries\, i.e.\, on the boundaries of the zones where the underly
 ing microscopic configuration has constant parameters. The corresponding s
 urface energy density depends on the relative orientation of the two grain
 s\, their microscopic translation misfit\, and the normal to the interface
 . Joint work with Leonard Kreutz (Münster) and Bernd Schmidt (Augsburg).\
 n
LOCATION:https://researchseminars.org/talk/NSCM/34/
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