Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformation characters of gel sheets with rotational symmetry: the role
  of boundary   In this paper, we systemically study the conformation characters of
rotational symmetric gel sheets with free boundary and investigate the role of
boundary on the equilibrium conformation. In gel sheet the boundary provides a
residual strain which leads to re-distribution of stress and impacts the shape
of equilibrium conformation accordingly. For sheet with boundary, the in-plane
stretching energy is far larger than the bending energy in some cases. It is
intrinsic different from closed membrane. In gel sheets, the boundary doesn't
only quantitatively amend to the elastic energy. The residual strain on
boundary cooperates with bending and stretching to determine the equilibrium
conformation rather than just the last two factors. Furthermore, on the
boundary of gel sheet, there is an additional energy induced by boundary line
tension $\gamma $. If $\gamma =0$, there is $10\%$ difference of elastic energy
from the experimental result. Finally, we discuss the effects of such line
tension $\gamma $ and propose a way to measure it by the border radius. It
redounds to study the physical origination of $\gamma $.

5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph