Physics of Fluids - Publications

Soft wetting with (a)symmetric Shuttleworth effect

arΧiv
Proceedings of the Royal Society A: mathematical, physical and engineering sciences 478, 20220132 (2022)

Authors

	Christopher Henkel
	Martin Essink
	Tuong Hoang
	G.J. van Zwieten
	Uwe Thiele
	Jacco Snoeijer

BibTeΧ

@article{doi:10.1098/rspa.2022.0132,
author = {Henkel, C.  and Essink, M. H.  and Hoang, T.  and van Zwieten, G. J.  and van Brummelen, E. H.  and Thiele, U.  and Snoeijer, J. H. },
title = {Soft wetting with (a)symmetric Shuttleworth effect},
journal = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
volume = {478},
number = {2264},
pages = {20220132},
year = {2022},
doi = {10.1098/rspa.2022.0132},

URL = {https://royalsocietypublishing.org/doi/abs/10.1098/rspa.2022.0132},
eprint = {https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2022.0132}
,
    abstract = { The wetting of soft polymer substrates brings in multiple complexities when compared with the wetting on rigid substrates. The contact angle of the liquid is no longer governed by Young‚Äôs Law, but is affected by the substrate‚Äôs bulk and surface deformations. On top of that, elastic interfaces exhibit a surface energy that depends on how much they are stretched‚Äîa feature known as the Shuttleworth effect (or as surface-elasticity). Here, we present two models through which we explore the wetting of drops in the presence of a strong Shuttleworth effect. The first model is macroscopic in character and consistently accounts for large deformations via a neo-Hookean elasticity. The second model is based on a mesoscopic description of wetting, using a reduced description of the substrate‚Äôs elasticity. While the second model is more empirical in terms of the elasticity, it enables a gradient dynamics formulation for soft wetting dynamics. We provide a detailed comparison between the equilibrium states predicted by the two models, from which we deduce robust features of soft wetting in the presence of a strong Shuttleworth effect. Specifically, we show that the (a)symmetry of the Shuttleworth effect between the ‚Äòdry‚Äô and ‚Äòwet‚Äô states governs horizontal deformations in the substrate. Our results are discussed in the light of recent experiments on the wettability of stretched substrates. }
}