Planar sheets meet negative-curvature liquid interfaces

Zhenwei Yao, Mark Bowick, Xu Ma, Rastko Sknepnek

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)


    If an inextensible thin sheet adheres to a substrate with a negative Gaussian curvature, it will experience stress due to geometric frustration. We analyze the consequences of such geometric frustration using analytic arguments and numerical simulations. Both concentric wrinkles and eye-like folds are shown to be compatible with negative curvatures. Which pattern will be realized depends on the curvature of the substrate. We discuss both types of folding patterns and determine the phase diagram governing their appearance. Copyright (C) EPLA, 2013

    Original languageEnglish
    Article number44007
    Number of pages5
    JournalEuropean Physical Society letters (EPL)
    Issue number4
    Publication statusPublished - Feb 2013


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