# SPP 2171 Workshop: "Wetting of Flexible, Adaptive, and Switchable Substrates"

5-8 December 2022
Tagungszentrum an der Sternwarte, Göttingen
Europe/Berlin timezone

## Gradient Dynamics Model for Liquid Drops on Elastic Substrates - Capturing prominent Soft Wetting Phenomena using a simplified Approach

5 Dec 2022, 16:00
2h
Tagungszentrum an der Sternwarte, Göttingen

Poster

### Speaker

Christopher Henkel

### Description

We investigate the behaviour of liquid drops on elastic substrates employing a simplified formulation of elasticity corresponding to the Winkler foundation model. By using a gradient dynamics approach we obtained a versatile and numerically less expensive model allowing for the treatment of statics and dynamics of both single drops as well as large drop ensembles. While a previous version has been used to qualitatively recover basic phenomena of soft wetting, like the double transition of contact angles and viscoelastic breaking [1], we recently extended the model to incorporate horizontal displacement as well as surface elasticity. In the course of that the impact of the Shuttleworth effect has been studied for different symmetry scenarios and compared to a macroscopic neo-Hookean model wich proper treatment of bulk elasticity in a large-deformation framework [2].
$[1]$ Henkel C., Snoeijer J. H., Thiele U. 2021 Gradient-dynamics model for liquid drops on elastic
substrates. Soft Matter 17, 10359–10375, DOI: 10.1039/d1sm01032h
$[2]$ Henkel C., Essink M. H., Hoang T., van Zwieten G. J., van Brummelen E. H., Thiele U., Snoeijer J. H. 2022 Soft wetting with (a)symmetric Shuttleworth effect. Proc. R.
Soc. A 478: 20220132. DOI: 10.1098/rspa.2022.0132

### Primary authors

Martin H. Essink (Physics of Fluids Group, Faculty of Science and Technology, Mesa+ Institute, University of Twente, 7500 AE Enschede, The Netherlands) Prof. Jacco H. Snoeijer (Physics of Fluids Group, Faculty of Science and Technology, Mesa+ Institute, University of Twente, 7500 AE Enschede, The Netherlands) Prof. Uwe Thiele (Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany)

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