Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wetting of an elastic sheet subject to external tension   Recent studies of elasto-capillary phenomena have triggered interest in a
basic variant of the classical Young-Laplace-Dupr\'e (YLD) problem: The
interaction between a liquid drop and a thin solid sheet of low bending
stiffness. Here we consider a two-dimensional model where the sheet is
subjected to an external tensile load and assume that the solid surface is
characterised by a well-defined Young's contact angle $\theta_Y$. Using a
combination of numerical, variational, and asymptotic techniques, we discuss
wetting as a function of the applied tension. We find that, for wettable
surfaces, with $0<\theta_Y<\pi/2$, complete wetting is possible below a
critical applied tension thanks to the deformation of the sheet. Conversely,
for very large applied tensions, the sheet becomes flat and the classical YLD
situation of partial wetting is recovered. At intermediate tensions, a vesicle
forms in the sheet, which encloses most of the fluid and we provide an accurate
asymptotic description of this vesicle. We show that bending stiffness, however
small, affects the entire shape of the vesicle. Rich bifurcation diagrams
involving partial wetting and "vesicle" solution are found. For moderately
small bending stiffnesses, partial wetting can coexist both with the vesicle
solution and complete wetting.

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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: hep-lat