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FROM:
Zhou Chen, Xiaofei Zhang and Jizhou Song,
“Surface wrinkling of an elastic graded layer”, Soft Matter, Vol. 14, No. 43, pp 8717-8723, 2018, http://dx.doi.org/10.1039/C8SM01654B
ABSTRACT: Surface instabilities have been extensively studied for homogeneous materials or film/substrate systems but with less studies on elastic graded materials. This paper studies surface wrinkling of an elastic graded layer theoretically, numerically and experimentally. A theoretical model for the onset of surface wrinkling with a 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 influence of the layer thickness as well as the material properties on the critical conditions for the onset of surface wrinkling is fully investigated. The morphology evolution of surface wrinkling from FEA indicates the transitions of the sinusoidal mode to the arch mode and then to the period-doubling mode with a co-existing crease mode and folding mode, which agree well quantitatively with experimental observations. These results are helpful to provide physical insights into the influence of material inhomogeneity on surface instabilities.
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