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An atomistic derivation of von-K\'arm\'an plate theory
We derive von-K\'arm\'an plate theory from three dimensional, purely
atomistic models with classical particle interaction. This derivation is
established as a -limit when considering the limit where the
interatomic distance as well as the thickness of the plate
tend to zero. In particular, our analysis includes the ultrathin case where
, leading to a new von-K\'arm\'an plate theory for finitely
many layers