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Mechanical metamaterials are designed to enable unique functionalities, butare typically limited by an initial energy state and require an independentenergy input to function repeatedly. Our study introduces a theoretical activemechanical metamaterial that incorporates a biological reaction mechanism toovercome this key limitation of passive metamaterials. Our material allows forreversible mechanical signal transmission, where energy is reintroduced by thebiologically motivated reaction mechanism. By analysing a coarse grainedcontinuous analogue of the discrete model, we find that signals can bepropagated through the material by a travelling wave. Analysis of the continuummodel provides the region of the parameter space that allows signaltransmission, and reveals similarities with the well-known FitzHugh-Nagumosystem. We also find explicit formulae that approximate the effect of thetimescale of the reaction mechanism on the signal transmission speed, which isessential for controlling the material.

Reversible signal transmission in an active mechanical metamaterial