Suppressing torsional buckling in auxetic meta-shells

Aref Ghorbani (), Mohammad J. Mirzaali, Tobias Roebroek, Corentin Coulais, Daniel Bonn, Erik Linden and Mehdi Habibi ()
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Aref Ghorbani: Wageningen University
Mohammad J. Mirzaali: Delft University of Technology
Tobias Roebroek: Wageningen University
Corentin Coulais: University of Amsterdam
Daniel Bonn: University of Amsterdam
Erik Linden: Wageningen University
Mehdi Habibi: Wageningen University

Nature Communications, 2024, vol. 15, issue 1, 1-11

Abstract: Abstract Take a thin cylindrical shell and twist it; it will buckle immediately. Such unavoidable torsional buckling can lead to systemic failure, for example by disrupting the blood flow through arteries. In this study, we prevent this torsional buckling instability using a combination of auxeticity and orthotropy in cylindrical metamaterial shells with a holey pattern. When the principal axes of the orthotropic meta-shell are relatively aligned with that of the compressive component of the applied stress during twisting, the meta-shell uniformly shrinks in the radial direction as a result of a local buckling instability. This shrinkage coincides with a softening-stiffening transition that leads to ordered stacking of unit cells along the compressive component of the applied stress. These transitions due to local instabilities circumvent the usual torsional instability even under a large twist angle. This study highlights the potential of tailoring anisotropy and programming instabilities in metamaterials, with potential applications in designing mechanical elements for soft robotics, biomechanics or fluidics. As an example of such applications, we demonstrate soft torsional compressor for generating pulsatile flows through a torsion release mechanism.

Date: 2024
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DOI: 10.1038/s41467-024-51104-3

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