English

Reshaping of a Janus ring

Soft Condensed Matter 2018-06-27 v1

Abstract

We consider reshaping of closed Janus filaments acquiring intrinsic curvature upon actuation of an active component -- a nematic elastomer elongating upon phase transition. Linear stability analysis establishes instability thresholds of circles with no imposed twist, dependent on the ratio qq 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 qq below the critical value. The looping number of stable shapes generally increases with qq.

Keywords

Cite

@article{arxiv.1802.01329,
  title  = {Reshaping of a Janus ring},
  author = {A. P. Zakharov and L. M. Pismen},
  journal= {arXiv preprint arXiv:1802.01329},
  year   = {2018}
}
R2 v1 2026-06-23T00:10:52.299Z