Three-dimensional dynamic simulation of elastocapillarity
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At small scales, the interaction of multicomponent fluids and solids can be dominated by capillary forces giving rise to elastocapillarity. Surface tension may deform or even collapse slender structures and thus, cause important damage in microelectromechanical systems. However, under control, elastocapillarity could be used as a fabrication technique for the design of new materials and structures. Here, we propose a computational model for elastocapillarity that couples nonlinear hyperelastic solids with two-component immiscible fluids described by the Navier–Stokes–Cahn–Hilliard equations. As fluid–structure interaction computational technique, we employ a boundary-fitted approach. For the spatial discretization of the problem we adopt a NURBS-based isogeometric analysis methodology. A strongly-coupled algorithm is proposed for the solution of the problem. The potential of this model is illustrated by solving several numerical examples, including, capillary origami, the static wetting of soft substrates, the deformation of micropillars and the three dimensional wrapping of a liquid droplet.
KeywordsElastocapillarity Fluid–structure interaction (FSI) Navier–Stokes–Cahn–Hilliard (NSCH) equations Isogeometric analysis (IGA) Arbitrary Lagrangian–Eulerian (ALE) description
The authors would like to thank Robert Style for the experimental data used in Fig. 4.
HG and HC were partially supported by the European Research Council through the FP7 Ideas Starting Grant Program (Contract #307201). HG and JB were partially supported by Xunta de Galicia, co-financed with FEDER funds. YB was supported by AFOSR Grant No. FA9550-16-1-0131.
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Conflict of interest
The authors declare that they have no conflict of interest.
- 27.Donea J, Huerta A, Ponthot J-Ph, Rodrguez-Ferran A (2004) Encyclopedia of computational mechanics. Arbitrary Lagrangian–Eulerian methods, chapter 14, vol 1. Wiley, LondonGoogle Scholar
- 34.Gomez H, van der Zee K (2016) Encyclopedia of computational mechanics. Computational phase-field modeling. Wiley, LondonGoogle Scholar
- 46.Lorenzo G, Scott MA, Tew K, Hughes TJR, Zhang YJ, Liu L, Vilanova G, Gomez H (2016) Tissue-scale, personalized modeling and simulation of prostate cancer growth. Proc Natl Acad Sci 113(48):E7663–E7671Google Scholar
- 58.Style RW, Jagota A, Hui C-Y, Dufresne ER (2016) Elastocapillarity: surface tension and the mechanics of soft solids. arXiv preprint arXiv:1604.02052
- 62.Takizawa K, Tezduyar TE, Terahara T, Sasaki T (2016) Heart valve flow computation with the integrated space–time VMS, slip interface, topology change and isogeometric discretization methods. Comput Fluids. doi: 10.1016/j.compfluid.2016.11.012
- 70.Vahidkhah K, Balogh P, Bagchi P (2016) Flow of red blood cells in stenosed microvessels. Sci Rep 6:28194. doi: 10.1038/srep28194