Optical activity is a well-established phenomenon. It means that the eigenstates are chiral, leading to a polarization rotation for incident linearly polarized light. Here we investigate the counterpart of optical activity in mechanics, namely “mechanical activity”(or phononic activity) in tailored 3D microstructured metamaterials. In the static regime, the simple-cubic chiral metamaterials exhibit a twist upon pushing onto them – a degree of freedom that is forbidden in ordinary (Cauchy) continuum mechanics. In the dynamic regime, we find a splitting of the lowest two bands, which is most pronounced near the middle of the first Brillouin zone, and chiral eigenstates.
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