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    Curvature delays growth-induced wrinkling

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    Authors
    Jia, F
    Pearce, Simon P
    Goriely, A
    Affiliation
    School of Manufacturing Science and Engineering, Southwest University of Science and Technology, Sichuan 621010, China
    Issue Date
    2018
    
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    Abstract
    Wrinkling patterns can be induced by the growth of a thin elastic film over a soft elastic substrate. While there is a good understanding of how this pattern is initiated on a flat geometry, wrinkling patterns over a curved surface are more complicated. Here, we consider this phenomenon within the framework of large deformation morphoelasticity by investigating surface wrinkling of a growing thin elastic film bonded to a large elastic cylinder. The system has two important dimensionless parameters: the ratio ? of the film thickness by the cylinder radius and the relative stiffness of the two layers ?. Depending on the values of ? and ? we identify four different regimes for which we find the critical growth and wrinkling mode number. By combining asymptotic methods with numerical computations we determine the effect of the curvature on the bifurcation and establish that it always induces a delay at the bifurcation: Larger growth is needed on a curved surface to induce the same wrinkling instability. These results are crucial to understand pattern formation on surface with varying curvatures.
    Citation
    Jia F, Pearce SP, Goriely A. Curvature delays growth-induced wrinkling. Physical Review E. 2018 Sep 24;98.
    Journal
    Physical Review e
    URI
    http://hdl.handle.net/10541/621370
    DOI
    10.1103/PhysRevE.98.033003
    Additional Links
    https://dx.doi.org/10.1103/PhysRevE.98.033003
    Type
    Article
    Language
    en
    ae974a485f413a2113503eed53cd6c53
    10.1103/PhysRevE.98.033003
    Scopus Count
    Collections
    All Paterson Institute for Cancer Research

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