Revisiting the wrinkling of elastic bilayers I: Linear analysis

Author: 

Alawiye, H
Kuhl, E
Goriely, A

Publication Date: 

6 May 2019

Journal: 

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Last Updated: 

2019-11-14T07:30:44.843+00:00

Issue: 

2144

Volume: 

377

DOI: 

10.1098/rsta.2018.0076

page: 

20180076-

abstract: 

© 2019 The Authors. 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.

Symplectic id: 

965922

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article