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Ratchetlike motion of helical bilayers induced by boundary constraints

Michio Tanaka1,*, Xinyu Wang2,1,*, Chandan K. Mishra1,3, Jianguo Cai2, Jian Feng2, Randall D. Kamien1, and A. G. Yodh1

  • 1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
  • 2Department of Civil Engineering, Southeast University, Nanjing 210096, China
  • 3Discipline of Physics, Indian Institute of Technology (IIT) Gandhinagar Palaj, Gandhinagar, Gujarat 382355, India

  • *These authors contributed equally to this work.

Phys. Rev. E 106, L012605 – Published 20 July, 2022

DOI: https://doi.org/10.1103/PhysRevE.106.L012605

Abstract

We show that application of boundary constraints generates unusual folding behaviors in responsive (swellable) helical bilayer strips. Unlike the smooth folding trajectories typical of free helical bilayers, the boundary-constrained bilayers exhibit intermittent folding behaviors characterized by rapid, steplike movements. We experimentally study bilayer strips as they swell and fold, and we propose a simple model to explain the emergence of ratchetlike behavior. Experiments and model predictions are then compared to simulations, which enable calculation of elastic energy during swelling. We investigate the dependence of this steplike behavior as a function of elastic boundary condition strength, strip length, and strip shape; interestingly, “V-shape” strips with the same boundary conditions fold smoothly.

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