Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-Folding Metasheets: The Optimal Pattern of Strain of Miura-Ori
  Folded State   Self-folding origami has emerged as a tool to make functional objects in
material science. The common idea is to pattern a sheet with creases and
activate them to have the object fold spontaneously into a desired
configuration. This article shows that collinear quadrilateral metasheets are
able to fold into the Miura-Ori configuration, if we only impose strain on part
of their creases. In this study, we define and determine the optimal pattern of
strain (OPS) on a collinear quadrilateral metasheet, that is the pattern of
minimum "functional" creases with which the self-folding metasheet can fold
into Miura-Ori state stably. By comparing the energy evolution along the
folding pathway of each possible folded state under OPS, we conclude that the
energy predominance of the desired Miura-Ori pathway during the initial period
of time accounts for why the OPS works. Furthermore, we measure the projected
force of the OPS on the intial flat metasheet and give insights on how to
determine the OPS using only local information of the initial flat state.

25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
2
The categories of this paper are: math