Revisiting the wrinkling of elastic bilayers I: Linear analysis

Hamza Alawiye*, Ellen Kuhl, Alain Goriely

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

10 Citations (Scopus)

Abstract

Wrinkling is a universal instability occurring in a wide variety of engineering and biological materials. It has been studied extensively for many different systems but a full description is still lacking. Here, we provide a systematic analysis of the wrinkling of a thin hyperelastic film over a substrate in plane strain using stream functions. For comparison, we assume that wrinkling is generated either by the isotropic growth of the film or by the lateral compression of the entire system. We perform an exhaustive linear analysis of the wrinkling problem for all stiffness ratios and under a variety of additional boundary and material effects. Namely, we consider the effect of added pressure, surface tension, an upper substrate and fibres. We obtain analytical estimates of the instability in the two asymptotic regimes of long and short wavelengths.

Original languageEnglish
Article number20180076
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume377
Issue number2144
DOIs
Publication statusPublished - 6 May 2019

Keywords

  • Buckling
  • Compression
  • Growth
  • Instability
  • Nonlinear elasticity
  • Wrinkling

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