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Surface wrinkling of an elastic graded layer

Abstract

Surface instabilities have been extensively studied for the homogeneous material or the film/substrate system but with less studies on the elastic graded material. This paper studies surface wrinkling of an elastic graded layer theoretically, numerically and experimentally. A theoretical model for the onset of surface wrinkling with the sinusoidal mode is established. The predicted critical wrinkling strain and wavelength agree well with finite element analysis (FEA) for the elastic graded layer with exponentially decaying modulus. The influences of the layer thickness as well as the material properties on the critical condition for the onset of surface wrinkling are fully investigated. The morphology evolution of surface wrinkling from FEA indicates the transitions of sinusoidal mode to arch mode and then to the period-doubling mode with co-existing crease mode and folding mode, which agree quantitatively well with experimental observations. These results are helpful to provide physical insights on the influence of material inhomogeneity on surface instabilities.

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Publication details

The article was received on 12 Aug 2018, accepted on 07 Oct 2018 and first published on 11 Oct 2018


Article type: Paper
DOI: 10.1039/C8SM01654B
Citation: Soft Matter, 2018, Accepted Manuscript
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    Surface wrinkling of an elastic graded layer

    Z. Chen, X. Zhang and J. Song, Soft Matter, 2018, Accepted Manuscript , DOI: 10.1039/C8SM01654B

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