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SUMMARY:Bernd Schmidt (University of Augsburg)
DTSTART:20261019T134000Z
DTEND:20261019T151000Z
DTSTAMP:20261023T001259Z
UID:NSCM/222
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/222/">A
  derivation of the time dependent von Kármán equations from atomistic mo
 dels</a>\nby Bernd Schmidt (University of Augsburg) as part of Nečas Semi
 nar on Continuum Mechanics\n\nLecture held in Room K3\,  Faculty of Mathem
 atics and Physics\, Charles University\, Sokolovská 83  Prague 8..\n\nAbs
 tract\nWe derive the time-dependent von Kármán plate equations from thre
 e dimensional\, purely atomistic particle models. In particular\, we prove
  that a thin structure of interacting particles whose dynamics is governed
  by Newton's laws of motion is effectively described by the von Kármán e
 quations in the limit of vanishing interatomic distance $\\eps$ and vanish
 ing plate thickness h. While the classical plate equations are obtained fo
 r $\\eps \\ll h \\ll 1$\, we find new plate equations for finitely many la
 yers in the ultrathin case $\\eps\\sim h$.\n
LOCATION:https://researchseminars.org/talk/NSCM/222/
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