Oblique wrinkles

Author:

Carfagna M.1,Destrade M.23ORCID,Gower A. L.24ORCID,Grillo A.1

Affiliation:

1. Dipartimento di Scienze Matematiche DISMA G. L. Lagrange, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy

2. School of Mathematics, Statistics and Applied Mathematics, NUI Galway, University Road, Galway, Ireland

3. School of Mechanical and Materials Engineering, University College Dublin, Belfield, Dublin 4, Ireland

4. School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, UK

Abstract

We prove theoretically that when a soft solid is subjected to an extreme deformation, wrinkles can form on its surface at an angle that is oblique to a principal direction of stretch. These oblique wrinkles occur for a strain that is smaller than the one required to obtain wrinkles normal to the direction of greatest compression. We go on to explain why they will probably never be observed in real-world experiments. This article is part of the themed issue ‘Patterning through instabilities in complex media: theory and applications.’

Funder

Hardiman Foundation

Government of Ireland Postgraduate Scholarship Scheme

Politecnico di Torino

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

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