ArticlePhilosophical transactions. Series A, Mathematical, physical, and engineering sciences2019
Revisiting the wrinkling of elastic bilayers I: linear analysis.
Article in Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
8 citing papers in PubMed.
- Harnessing Surface Instabilities for Functional Materials: Mechanics, Morphology, and Emerging Applications.Nano-micro letters · 2026Review
- Hierarchical mechanical patterns in morphogenesis: from mollusc shells to plants, fungi and animals.Journal of the Royal Society, Interface · 2025Article
- Morphoelastic modelling of pattern development in the petal epidermal cell cuticle.Journal of the Royal Society, Interface · 2023Article
- A one-step, tunable method of selective reactive sputter deposition as a wrinkling approach for silver/polydimethylsiloxane for electrically conductive pliable surfaces.Microsystems & nanoengineering · 2022Article
- In vivo visualization of butterfly scale cell morphogenesis inProceedings of the National Academy of Sciences of the United States of America · 2021Article
- Folding drives cortical thickness variations.The European physical journal. Special topics · 2020Article
- Growth and remodelling of living tissues: perspectives, challenges and opportunities.Journal of the Royal Society, Interface · 2019Review
- Rivlin's legacy in continuum mechanics and applied mathematics.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2019Article
Corrections and comments
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
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'.
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