Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pattern Transitions in a Soft Cylindrical Shell   Instability patterns of rolling up a sleeve appear more intricate than the
ones of walking over a rug on floor, both characterized as uniaxially
compressed soft-film/stiff-substrate systems. This can be explained by
curvature effects. To investigate pattern transitions on a curved surface, we
study a soft shell sliding on a rigid cylinder by experiments, computations and
theoretical analyses. We reveal a novel post-buckling phenomenon involving
multiple successive bifurcations: smooth-wrinkle-ridge-sagging transitions. The
shell initially buckles into periodic axisymmetric wrinkles at the threshold
and then a wrinkle-to-ridge transition occurs upon further axial compression.
When the load increases to the third bifurcation, the amplitude of the ridge
reaches its limit and the symmetry is broken with the ridge sagging into a
recumbent fold. It is identified that hysteresis loops and the Maxwell
equal-energy conditions are associated with the co-existence of wrinkle/ridge
or ridge/sagging patterns. Such a bifurcation scheme is inherently general and
independent of material constitutive models.

26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol