Mr. Ke Wang Profile

Ke Wang

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Proceedings Article | 13 March 2024 Presentation

Designing anomalous frozen phonons in metamaterials

Martin Wegener, Yi Chen, Jonathan L. Schneider, Ke Wang, Muamer Kadic

Proceedings Volume PC12896, PC128960O (2024) https://doi.org/10.1117/12.3009656

KEYWORDS: Metamaterials, Phonons, Elasticity, Acoustics

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We show that anomalous static elastic behavior of periodic metamaterials is fundamentally connected to minima in their (real-valued) phonon band structure via the Cauchy-Riemann equations for analytical functions. This connection allows us to systematically engineer anomalously large characteristic decay lengths in static elasticity. We discuss different theoretical examples and an experimental validation based on 3D laser microprinted metamaterials with roton-like acoustic phonon band structure. Herein, statically pulling on one end of a metamaterial beam, while fixing the other end, leads to pronounced spatial oscillations of the displacement field along the beam axis. Such behavior also violates Saint Venant’s principle.

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