2021
DOI: 10.1002/nme.6694
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A ternary phase‐field model for wetting of soft elastic structures

Abstract: Soft wetting, that is, the interaction of liquid-fluid interfaces with deformable elastic structures, provides a rich variety of physical phenomena (stick-slip motion, durotaxis, Shuttleworth effect, etc.) which are not yet understood. We propose a novel phase-field approach to study such problems. The method uses two phase-fields to describe the three domains (solid, liquid, ambient fluid) by the ternary Navier-Stokes Cahn-Hilliard equations. We use a recent phase-field approach for fluid-structure interactio… Show more

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Cited by 11 publications
(8 citation statements)
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“…39 Only recently, dynamic calculations coupling full hydrodynamic and nonlinear elasticity models have become available. [40][41][42][43][44][45] Dynamic long-wave (or thin-film) models were developed in ref. 30 and 46-48. In particular, ref.…”
Section: Introductionmentioning
confidence: 99%
“…39 Only recently, dynamic calculations coupling full hydrodynamic and nonlinear elasticity models have become available. [40][41][42][43][44][45] Dynamic long-wave (or thin-film) models were developed in ref. 30 and 46-48. In particular, ref.…”
Section: Introductionmentioning
confidence: 99%
“…We modeled the behavior of a droplet between two stiff undeformable lamellae (the thickness of the lamellae was set to 100 μm). Numerical simulations were performed by a finite difference simulation of the Navier–Stokes equations using a highly performant graphic processing unit (GPU) parallelization . To regularize the contact line singularity the droplet and ambient air were modeled by a phase field function.…”
Section: Resultsmentioning
confidence: 99%
“…Numerical simulations were performed by a finite difference simulation of the Navier− Stokes equations 63 using a highly performant graphic processing unit (GPU) parallelization. 64 To regularize the contact line singularity the droplet and ambient air were modeled by a phase field function. The droplet was initially prescribed as a ball of radius 781 μm.…”
mentioning
confidence: 99%
“…represent kinetic energy and interface energy, respectively. The viscous-stress tensors τ l and τ a in (33) are identical in form to (5) with the viscosity parameter according to η l and η a , respectively. One can infer that the integrals appearing on the right-hand side of (33)…”
Section: Comparison To Sharp-interface Modelmentioning
confidence: 99%