Elastocapillary deformations on partially-wetting substrates: rival contact-line models.

@article{Bostwick2014ElastocapillaryDO,
  title={Elastocapillary deformations on partially-wetting substrates: rival contact-line models.},
  author={Joshua B. Bostwick and Michael Shearer and Karen E. Daniels},
  journal={Soft matter},
  year={2014},
  volume={10 37},
  pages={
          7361-9
        }
}
A partially-wetting liquid can deform the underlying elastic substrate upon which it rests. This situation requires the development of theoretical models to describe the wetting forces imparted by the drop onto the solid substrate, particularly those at the contact-line. We construct a general solution using a displacement potential function for the elastic deformations within a finite elastic substrate associated with these wetting forces, and compare the results for several different contact… 
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References

SHOWING 1-10 OF 38 REFERENCES
Static wetting on deformable substrates, from liquids to soft solids
Young's law fails on soft solid and liquid substrates where there are substantial deformations near the contact line. On liquid substrates, this is captured by Neumann's classic analysis, which
Straight contact lines on a soft, incompressible solid
  • L. Limat
  • Physics, Medicine
    The European physical journal. E, Soft matter
  • 2012
TLDR
The deformation of a soft substrate by a straight contact line is calculated, and the result applied to a static rivulet between two parallel contact lines may have surprising implications for the modelling of hysteresis on systems having both plastic and elastic properties.
Capillary deformations of bendable films.
TLDR
It is shown that the size of the wrinkle pattern that emerges in the sheet is fully predictable, thus resolving a puzzle in modeling "drop-on-a-floating-sheet" experiments and enabling a quantitative, calibration-free use of this setup for the metrology of ultrathin films.
On the role of the three-phase contact line in surface deformation.
TLDR
This study uses superhydrophobic surfaces composed of an array of silicon nanostructures whose Young modulus is 4 orders of magnitude higher than that of surfaces in earlier recorded viscoelastic braking experiments to study deformation of solid surfaces at the three-phase contact line.
Deformation of an elastic substrate by a three-phase contact line.
TLDR
This work measures surface and bulk deformation of a thin elastic film near a three-phase contact line using fluorescence confocal microscopy and predicts that the deformation profile near the contact line is scale-free and independent of the substrate elastic modulus.
Capillarity of soft amorphous solids: a microscopic model for surface stress.
TLDR
A microscopic model that incorporates enthalpic interactions and entropic elasticity is developed, based on which the compressibility of the interfacial region, through the Poisson ratio near the interface, determines the difference between surface stress and surface energy.
Elasto-capillarity at the nanoscale: on the coupling between elasticity and surface energy in soft solids
The capillary forces exerted by liquid drops and bubbles on a soft solid are directly measured using molecular dynamics simulations. The force on the solid by the liquid near the contact line is
Contact angles on a soft solid: from Young's law to Neumann's law.
TLDR
An elastocapillary model for contact angles on a soft solid is derived by coupling a mean-field model for the molecular interactions to elasticity and it is demonstrated that the limit of a vanishing elastic modulus yields Neumann's law or a variation thereof, depending on the force transmission in the solid surface layer.
Elastic deformation due to tangential capillary forces
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
The influence of solid micro-deformation on contact angle equilibrium
At a triple wetting line, the liquid-fluid tension may produce a wetting ridge in sufficiently soft solids. By employing variational methods, it has been shown that the solid strain combined with the
...
1
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3
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