Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 $\Gamma$-limit when considering the limit where the
interatomic distance $\varepsilon$ as well as the thickness of the plate $h$
tend to zero. In particular, our analysis includes the ultrathin case where
$\varepsilon \sim h$, leading to a new von-K\'arm\'an plate theory for finitely
many layers.

28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol