From Wrinkles to Creases in Elastomers: The Instability and Imperfection-Sensitivity of Wrinkling

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From Wrinkles to Creases in Elastomers: The Instability and Imperfection-Sensitivity of Wrinkling

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Title: From Wrinkles to Creases in Elastomers: The Instability and Imperfection-Sensitivity of Wrinkling
Author: Cao, Yanping; Hutchinson, John W.

Note: Order does not necessarily reflect citation order of authors.

Citation: Cao, Yanping, and John W. Hutchinson. 2012. From wrinkles to creases in elastomers: The instability and imperfection-sensitivity of wrinkling. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468(2137): 94-115.
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Abstract: The stability of the wrinkling mode experienced by a compressed half-space of neo-Hookean material is investigated using analytical and numerical methods to study the post-bifurcation behaviour of periodic solutions. It is shown that wrinkling is highly unstable owing to the nonlinear interaction among the multiple modes associated with the critical compressive state. Concomitantly, wrinkling is sensitive to exceedingly small initial imperfections that significantly reduce the compressive strain at which the instability occurs. The study provides insight into the connection between wrinkling and an alternative surface mode, the finite amplitude crease or sulcus. The shape of the critical combination of wrinkling modes has the form of an incipient crease, and a tiny initial imperfection can trigger a wrinkling instability that collapses into a crease.
Published Version: doi:10.1098/rspa.2011.0384
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:10169557
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