Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contrasting bending energies from bulk elastic theories   The choice of elastic energies for thin plates and shells is an unsettled
issue with consequences for much recent modeling of soft matter. Through
consideration of simple deformations of a thin body in the plane, we
demonstrate that four bulk isotropic quadratic elastic theories have
fundamentally different predictions with regard to bending behavior. At finite
thickness, these qualitative effects persist near the limit of mid-surface
isometry, and not all theories predict an isometric ground state. We discuss
how certain kinematic measures that arose in early studies of rod mechanics
lead to coherent definitions of stretching and bending, and promote the
adoption of these quantities in the development of a covariant theory based on
stretches rather than metrics.

31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas