Abstract

Twisted toroidal ribbons such as the one-sided Möbius strip have inspired scientists, engineers and artists for many centuries. A physical Möbius strip exhibits interesting mechanical properties deriving from a tendency to redistribute the torsional strain away from the twist region. This leads to the interesting possibility of building topological actuators with continuous deformations. Here we report on a series of corresponding bi-layered stripe actuators using a photothermally responsive liquid crystal elastomer as the fundamental polymeric material. Employing a special procedure, even Möbius strips with an odd number of twists can be fabricated exhibiting a seamless homeotropic and homogeneous morphology. Imposing a suitable contraction gradient under near-infrared light irradiation, these ribbons can realize continuous anticlockwise/clockwise in-situ rotation. Our work could pave the way for developing actuators and shape morphing materials that need not rely on switching between distinct states.

Highlights

  • Twisted toroidal ribbons such as the one-sided Möbius strip have inspired scientists, engineers and artists for many centuries

  • As August Ferdinand Möbius noted in his original manuscript[1], circular bands with an odd number of twists (Tw, defined as the number of 180° rotations)[10] exhibit one side and one edge, whereas other toroidal ribbons with an even number of twists possess two sides and two edges[11]

  • Due to the twisted toroidal conformation, Möbius ribbons have considerable torsional strains, and the highest bending/torsional energy is distributed around the locus of the twist region[12]

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Summary

Introduction

Twisted toroidal ribbons such as the one-sided Möbius strip have inspired scientists, engineers and artists for many centuries. D and Supplementary Movie 2, rotation of B-Möbius[+1] and B-Möbius[+2] ribbon actuators was observed when 808 nm NIR light stimulated the locus of twist regions and was moved clockwise along the circular rings.

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