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Lubricated wrinkles: Imposed constraints affect the dynamics of wrinkle coarsening

Ousmane Kodio, Ian M. Griffiths, and Dominic Vella*

  • Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, United Kingdom

  • *dominic.vella@maths.ox.ac.uk
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Phys. Rev. Fluids 2, 014202 – Published 23 January, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.014202

Abstract

We study the dynamic coarsening of wrinkles in an elastic sheet that is compressed while lying on a thin layer of viscous liquid. When the ends of the sheet are instantaneously brought together by a small distance, viscous resistance initially prevents the sheet from adopting a globally buckled shape. Instead, the sheet accommodates the compression by wrinkling. Previous scaling arguments suggested that a balance between the sheet's bending stiffness and viscous effects lead to a wrinkle wavelength λ that increases with time t according to λ∝t1/6. We show that taking proper account of the compression constraint leads to a logarithmic correction of this result, λ∝(t/logt)1/6. This correction is significant over experimentally observable time spans and leads us to reassess previously published experimental data.

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Corrections

23 March, 2017

Erratum

Publisher's Note: Lubricated wrinkles: Imposed constraints affect the dynamics of wrinkle coarsening [Phys. Rev. Fluids 2, 014202 (2017)]

Ousmane Kodio, Ian M. Griffiths, and Dominic Vella
Phys. Rev. Fluids 2, 039901 (2017)

Article Text

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Outline

Information

Phys. Rev. Fluids 2, 014202– Published 23 January, 2017
  • Received 15 September 2016
  • Revised 9 December 2016
  • Corrected 23 March 2017

©2017 American Physical Society

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