Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some observations on variational elasticity and its application to
  plates and membranes   Energies and equilibrium equations for thin elastic plates are discussed,
with emphasis on several issues pertinent to recent approaches in soft
condensed matter. Consequences of choice of basis, choice of invariant strain
measures, and of approximating material energies as purely geometric in nature,
are detailed. Ambiguities in the definitions of energies based on small-strain
expansions, and in a typical informal process of dimensional reduction, are
noted. A simple example serves to demonstrate that a commonly used bending
energy has undesirable features, and it is suggested that a new theory based on
Biot strains be developed. A compact form of the variation of a plate energy is
presented. Throughout, the divergence form of equations is emphasized. An
appendix relates the naive approach adopted in the main text with standard
quantities in continuum mechanics.

15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg