Simple model of splitting instability in swollen membranes

Hidetsugu Sakaguchi, Satomi Maeyama

    Research output: Contribution to journalArticlepeer-review

    Abstract

    A simple one-dimensional mechanical model is proposed for splitting instability in swollen membranes. The splitting instability occurs by ring constriction. The bifurcation can be both subcritical and supercritical, depending on the slenderness of spheroidal membranes. The lower critical point is estimated theoretically for the simplest circular system. Necking instability occurs in a spheroidal membrane when the twist angle in the boundary conditions is increased.

    Original languageEnglish
    Article number024603
    Journaljournal of the physical society of japan
    Volume83
    Issue number2
    DOIs
    Publication statusPublished - Feb 15 2014

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)

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