AN ATOMISTIC DERIVATION OF VON-KARMAN PLATE THEORY

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