Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bending of thin periodic plates   We show that nonlinearly elastic plates of thickness $h\to 0$ with an
$\varepsilon$-periodic structure such that $\varepsilon^{-2}h\to 0$ exhibit
non-standard behaviour in the asymptotic two-dimensional reduction from
three-dimensional elasticity: in general, their effective stored-energy density
is "discontinuously anisotropic" in all directions. The proof relies on a new
result concerning an additional isometric constraint that deformation fields
must satisfy on the microscale.

37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc