Slip Morphology of Elastic Strips on Frictional Rigid Substrates

Tomohiko G. Sano, Tetsuo Yamaguchi, Hirofumi Wada

    Research output: Contribution to journalArticlepeer-review

    27 Citations (Scopus)


    The morphology of an elastic strip subject to vertical compressive stress on a frictional rigid substrate is investigated by a combination of theory and experiment. We find a rich variety of morphologies, which - when the bending elasticity dominates over the effect of gravity - are classified into three distinct types of states: pinned, partially slipped, and completely slipped, depending on the magnitude of the vertical strain and the coefficient of static friction. We develop a theory of elastica under mixed clamped-hinged boundary conditions combined with the Coulomb-Amontons friction law and find excellent quantitative agreement with simulations and controlled physical experiments. We also discuss the effect of gravity in order to bridge the difference in the qualitative behaviors of stiff strips and flexible strings or ropes. Our study thus complements recent work on elastic rope coiling and takes a significant step towards establishing a unified understanding of how a thin elastic object interacts vertically with a solid surface.

    Original languageEnglish
    Article number178001
    JournalPhysical review letters
    Issue number17
    Publication statusPublished - Apr 26 2017

    All Science Journal Classification (ASJC) codes

    • General Physics and Astronomy


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