For moderately small bending stiffnesses, partial wetting can coexist both with the vesicle solution and complete wetting. Rich bifurcation diagrams involving partial wetting and "vesicle" solution are found. We show that bending stiffness, however small, affects the entire shape of the vesicle. 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. Conversely, for very large applied tensions, the sheet becomes flat and the classical YLD situation of partial wetting is recovered. 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. Using a combination of numerical, variational, and asymptotic techniques, we discuss wetting as a function of the applied tension. 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 $\theta_Y$. 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.
0 kommentar(er)
