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Three-dimensional dynamic simulation of elastocapillarity

  • Novel Computational Approaches to Old and New Problems in Mechanics
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An Erratum to this article was published on 03 July 2017

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Abstract

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.

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  • 03 July 2017

    An erratum to this article has been published.

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Acknowledgements

The authors would like to thank Robert Style for the experimental data used in Fig. 4.

Funding

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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Authors and Affiliations

  1. Departamento de Métodos Matemáticos e de Representación, Universidade da Coruña, Campus de Elviña, 15192, A Coruña, Spain

    Jesus Bueno & Hugo Casquero

  2. Department of Structural Engineering, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA, 92093, USA

    Yuri Bazilevs

  3. School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN, 47907, USA

    Hector Gomez

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  1. Jesus Bueno
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Correspondence to Jesus Bueno.

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The original version of this article was revised because due to an unfortunate turn of events during processing of this article essential data was omitted from figure 5. Figure 5 has been updated with the correct version that should be regarded as the final version by the reader.

An erratum to this article is available at https://doi.org/10.1007/s11012-017-0699-9.

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Bueno, J., Casquero, H., Bazilevs, Y. et al. Three-dimensional dynamic simulation of elastocapillarity. Meccanica 53, 1221–1237 (2018). https://doi.org/10.1007/s11012-017-0667-4

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