Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solution for growth-induced large bending deformation of a
  hyperelastic plate   In this paper, the growth-induced bending deformation of a thin hyperelastic
plate is studied. For a plane-strain problem, the governing PDE system is
formulated, which is composed of the mechanical equilibrium equations, the
constraint equation and the boundary conditions. By adopting a gradient growth
field with the growth value changes linearly along the thickness direction, the
exact solution to the governing PDE system can be derived. With the obtained
solution, some important features of the bending deformation in the plate can
be found and the effects of the different growth parameters can be revealed.
This exact solution can serve as a benchmark one for testing the correctness of
numerical schemes and approximate plate models in growth theory.

11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat