Elastic deformation due to tangential capillary forces

Abstract

A sessile liquid drop can deform the substrate on which it rests if the solid is sufficiently "soft". In this paper we compute the detailed spatial structure of the capillary forces exerted by the drop on the solid substrate using a model based on Density Functional Theory. We show that, in addition to the normal forces, the drop exerts a previously unaccounted tangential force. The resultant effect on the solid is a pulling force near the contact line directed towards the interior of the drop, i.e. not along the interface. The resulting elastic deformations of the solid are worked out and illustrate the importance of the tangential forces.

References in corpus (5)

• The Deformation of an Elastic Substrate by a Three-Phase Contact Line
• Origin of line tension for a Lennard-Jones nanodroplet
• Why is surface tension a force parallel to the interface?
• A microscopic view on contact angle selection
• Surface thermodynamics, surface stress, equations at surfaces and triple lines for deformable bodies

Cited by in corpus (17)

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• Why is surface tension a force parallel to the interface?
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• Capillary Pressure and Contact Line Force on a Soft Solid
• Drops on soft solids: Free energy and double transition of contact angles
• Soft wetting and the Shuttleworth effect, at the crossroads between thermodynamics and mechanics
• Straight contact lines on a soft, incompressible solid
• The paradox of contact angle selection on stretched soft solids
• Gradient-dynamics model for liquid drops on elastic substrates
• Statics of polymer droplets on deformable surfaces
• Wilhelmy equation revisited: a lightweight method to measure liquid-vapor, solid-liquid and solid-vapor interfacial tensions from a single molecular dynamics simulation
• Capillary fracture of soft gels
• Capillarity of soft amorphous solids: a microscopic model for surface stress
• Soft beams: when capillarity induces axial compression
• Elastocapillary instability under partial wetting conditions: bending versus buckling
• Pinning of a drop by a junction on an incline
• Water under the Ridge: Evaporation, Translation, Crumpling and Encapsulation of a Water Droplet atop a Liquid Polymeric Film