Related Experiment Video
Updated: Jan 27, 2026

Single Molecule Methods for Monitoring Changes in Bilayer Elastic Properties
Published on: November 3, 2008
Revisiting the wrinkling of elastic bilayers I: linear analysis
Hamza Alawiye1, Ellen Kuhl2, Alain Goriely1
11 Mathematical Institute , University of Oxford , Oxford , UK.
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. This article is part of the theme issue 'Rivlin's legacy in continuum mechanics and applied mathematics'.
Related Concept Videos
Elasticity
The elasticity of an object can be described by a stress-strain curve, which represents the relationship between stress...
Linear Circuits
Linear Momentum
Linearization and Approximation
Elasticity in Concrete
Application of Linearization and Approximation

