Reshaping of a Janus ring

Physical Review. E
A P Zakharov, L M Pismen

Abstract

We consider the reshaping of closed Janus filaments acquiring intrinsic curvature upon actuation of a driven component-a nematic elastomer elongating upon phase transition. Linear stability analysis establishes instability thresholds of circles with no imposed twist, dependent on the ratio q of the intrinsic curvature to the inverse radius of the original circle. Twisted circles are proven to be absolutely unstable but the linear analysis well predicts the dependence of the looping number of the emerging configurations on the imposed twist. Modeling stable configurations by relaxing numerically the overall elastic energy detects multiple stable and metastable states with different looping numbers. The bifurcation of untwisted circles turns out to be subcritical, so that nonplanar shapes with a lower energy exist at q below the critical value. The looping number of stable shapes generally increases with q.

References

Aug 13, 2004·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·J H White, W R Bauer
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Raymond E Goldstein, Alain Goriely
Jul 14, 2012·Reports on Progress in Physics·Victor V YashinAnna C Balazs
Apr 25, 2014·PloS One·Jia LiuDavid R Clarke
Dec 20, 2016·ACS Applied Materials & Interfaces·Leonid IonovJens Uwe Sommer
Jan 18, 2018·Soft Matter·A P Zakharov, L M Pismen

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Citations

Feb 6, 2020·Soft Matter·Andrei ZakharovLeonid Ionov

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