Partial wetting of thin solid sheets under tension

Soft Matter
Benny Davidovitch, Dominic Vella

Abstract

We consider the equilibrium of liquid droplets sitting on thin elastic sheets that are subject to a boundary tension and/or are clamped at their edge. We use scaling arguments, together with a detailed analysis based on the Föppl-von-Kármán equations, to show that the presence of the droplet may significantly alter the stress locally if the tension in the dry sheet is weak compared to an intrinsic elasto-capillary tension scale γ2/3(Et)1/3 (with γ the droplet surface tension, t the sheet thickness and E its Young modulus). Our detailed analysis suggests that some recent experiments may lie in just such a "non-perturbative" regime. As a result, measurements of the tension in the sheet at the contact line (inferred from the contact angles of the sheet with the liquid-vapour interface) do not necessarily reflect the true tension within the sheet prior to wetting. We discuss various characteristics of this non-perturbative regime.

References

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Citations

Sep 5, 2018·Soft Matter·Timothy TwohigAndrew B Croll
Nov 19, 2019·Soft Matter·Shih-Yuan ChenKaren E Daniels
Apr 18, 2020·Nature Materials·Deepak KumarNarayanan Menon
May 20, 2021·Physical Review. E·Benny Davidovitch, Francisco Guinea
Jul 10, 2021·The European Physical Journal. E, Soft Matter·Meng Xin, Benny Davidovitch
Aug 22, 2021·Nature Communications·Yuan HouZhong Zhang

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