@article{Braun2022, 
author = {Julian Braun and Bernd Schmidt},
title = {An atomistic derivation of von-Kármán plate theory},
year = {2022},
journal = {Networks and Heterogeneous Media},
volume = {17},
number = {4},
pages = {613-644},
keywords = {Discrete to continuum, gamma-convergence, dimension reduction, elastic plates, von-Kármán plate theory},
url = {https://www.sciopen.com/article/10.3934/nhm.2022019},
doi = {10.3934/nhm.2022019},
abstract = {We derive von-Kármán plate theory from three dimensional, purely atomistic models with classical particle interaction. This derivation is established as a    Γ-limit when considering the limit where the interatomic distance    ε as well as the thickness of the plate    h tend to zero. In particular, our analysis includes the ultrathin case where    ε  ∼  h, leading to a new von-Kármán plate theory for finitely many layers.}
}