DOI: 10.1063/1.3615640. Elastic deformation due to tangential capillary forces

Elastic deformation due to tangential capillary forces

10.1063/1.3615640

Crossref journal-article

AIP Publishing

Physics of Fluids (317)

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.

Bibliography

Das, S., Marchand, A., Andreotti, B., & Snoeijer, J. H. (2011). Elastic deformation due to tangential capillary forces. Physics of Fluids, 23(7).

Authors 4

Siddhartha Das (first)
Antonin Marchand (additional)
Bruno Andreotti (additional)
Jacco H. Snoeijer (additional)

References 40 Referenced 84

10.1103/RevModPhys.57.827 / Rev. Mod. Phys. / Wetting: statics and dynamics (1985)
10.1103/RevModPhys.81.739 / Rev. Mod. Phys. / Wetting and spreading (2009)
{'volume-title': 'Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves', 'year': '2003', 'key': '2023080520413737100_c3'} / Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves (2003)
10.1016/S0021-9797(02)00090-5 / J. Colloid Interface Sci. / The contact angle on an elastic substrate. 1. The role of disjoining pressure in the surface mechanics (2003)
{'key': '2023080520413737100_c5', 'first-page': '614', 'article-title': 'Theory of wetting of elastically deformed bodies.1. Deformation with a finite contact-angle', 'volume': '37', 'year': '1975', 'journal-title': 'Colloid J. USSR'} / Colloid J. USSR / Theory of wetting of elastically deformed bodies.1. Deformation with a finite contact-angle (1975)
10.1016/0095-8522(61)90032-0 / J. Colloid Sci. / Contact angles of liquids at deformable solid surfaces (1961)
10.1016/0021-9797(86)90374-7 / J. Colloid Interface Sci. / Contact angles on deformable solids (1986)
10.1021/la801862m / Langmuir / Effect of capillary pressure and surface tension on the deformation of elastic surfaces by sessile liquid microdrops: An experimental investigation (2008)
10.1016/j.jcis.2009.08.001 / J. Colloid Interface Sci. / Elastic deformation of soft membrane with finite thickness induced by a sessile liquid droplet (2009)
10.1002/cphc.200800098 / Chem. Phys. Chem. / Microstructuring of polystyrene surfaces with nonsolvent sessile droplets (2008)
10.1039/b907212h / Soft Matter / Solid-supported thin elastomer films deformed by microdrops (2009)
10.1140/epjst/e2009-00880-4 / Eur. Phys. J. Spec. Top. / Capillarity induced folding of elastic sheets (2009)
10.1103/PhysRevLett.98.156103 / Phys. Rev. Lett. / Capillary Origami: Spontaneous wrapping of a droplet with an elastic sheet (2007)
10.1039/c0sm00004c / Soft Matter / Capillary origami controlled by an electric field (2010)
10.1088/0953-8984/22/49/493101 / J. Phys.: Condens. Matter / Elasto-capillarity: deforming an elastic structure with a liquid droplet (2010)
10.1063/1.3462302 / Appl. Phys. Lett. / Elastocapillary fabrication of three-dimensional microstructures (2010)
10.1103/PhysRevLett.106.186103 / Phys. Rev. Lett. / Deformation of an elastic substrate by a three-phase contact line (2011)
10.1016/0021-9797(84)90407-7 / J. Colloid Interface Sci. / Deformation of solid-surfaces due to capillary forces (1984)
10.1016/0039-6028(92)90203-I / Surf. Sci. / Deformation of an elastic thin solid induced by a liquid droplet (1992)
10.1088/0953-8984/5/14/007 / J. Phys.: Condens. Matter / Capillarity and elasticity—the example of the thin plate (1993)
10.1088/0953-8984/22/8/085005 / J. Phys.: Condens. Matter / Surface thermodynamics, surface stress, equations at surfaces and triple lines for deformable bodies (2010)
10.1006/jcis.1996.0611 / J. Colloid Interface Sci. / Contact angles and hysteresis on soft surfaces (1996)
10.1021/la00004a055 / Langmuir / Viscoelastic dissipation in wetting and adhesion phenomena (1995)
10.1006/jcis.1997.4952 / J. Colloid Interface Sci. / Effect of cross-linking on the dewetting of an elastomeric surface (1997)
10.1021/la903996j / Langmuir / The softer the better: fast condensation on soft surfaces (2010)
10.1038/379432a0 / Nature / Viscoelastic effects in the spreading of liquids (1996)
10.1103/PhysRevE.78.061602 / Phys. Rev. E / Disjoining pressure for nonuniform thin films (2008)
10.1103/PhysRevE.57.655 / Phys. Rev. E / Line tension between fluid phases and a substrate (1998)
{'volume-title': 'Am. J. Phys', 'key': '2023080520413737100_c29', 'article-title': 'Why is surface tension a force parallel to the interface?'} / Am. J. Phys / Why is surface tension a force parallel to the interface?
10.1063/1.858320 / Phys. Fluids A / Contact angles (1992)
10.1063/1.2913675 / Phys. Fluids / A microscopic view on contact angle selection (2008)
10.1007/s100510050907 / Eur. Phys. J. B / Quantitative study of laterally inhomogeneous wetting films (1999)
10.1063/1.3546008 / Phys. Fluids / Origin of line tension for a Lennard-Jones nanodroplet (2011)
{'edition': '2nd ed.', 'volume-title': 'Theory of Simple Liquids', 'year': '1990', 'key': '2023080520413737100_c34'} / Theory of Simple Liquids (1990)
10.1063/1.3154552.1 / Biomicrofluidics / Modeling the coalescence of sessile droplets (2009)
10.1021/jp0676235 / J. Phys. Chem. C / Contact angles of Lennard-Jones liquids and droplets on planar surfaces (2007)
10.1088/0305-4470/34/38/310 / J. Phys. A / The equilibrium shape of an axisymmetric sessile drop subject to local stresses (2001)
{'volume-title': 'Contact Mechanics', 'year': '1985', 'key': '2023080520413737100_c38'} / Contact Mechanics (1985)
10.1063/1.868120 / Phys. Fluids / Nonlinear oscillations of pendant drops (1994)
10.1016/j.physb.2008.11.196 / Physica B / Deformation field of the soft substrate induced by capillary force (2009)

Dates

Type	When
Created	14 years ago (July 27, 2011, 6:54 p.m.)
Deposited	2 years ago (Aug. 5, 2023, 4:42 p.m.)
Indexed	3 weeks, 3 days ago (July 30, 2025, 6:56 a.m.)
Issued	14 years, 1 month ago (July 1, 2011)
Published	14 years, 1 month ago (July 1, 2011)
Published Online	14 years ago (July 27, 2011)
Published Print	14 years, 1 month ago (July 1, 2011)

Funders 0

None

BibTeX

@article{Das_2011, title={Elastic deformation due to tangential capillary forces}, volume={23}, ISSN={1089-7666}, url={http://dx.doi.org/10.1063/1.3615640}, DOI={10.1063/1.3615640}, number={7}, journal={Physics of Fluids}, publisher={AIP Publishing}, author={Das, Siddhartha and Marchand, Antonin and Andreotti, Bruno and Snoeijer, Jacco H.}, year={2011}, month=jul }

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