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13 March 2024 Designing anomalous frozen phonons in metamaterials
Martin Wegener, Yi Chen, Jonathan L. G. Schneider, Ke Wang, Muamer Kadic
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Proceedings Volume PC12896, Photonic and Phononic Properties of Engineered Nanostructures XIV; PC128960O (2024) https://doi.org/10.1117/12.3009656
Event: SPIE OPTO, 2024, San Francisco, California, United States
Abstract
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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Martin Wegener, Yi Chen, Jonathan L. G. Schneider, Ke Wang, and Muamer Kadic "Designing anomalous frozen phonons in metamaterials", Proc. SPIE PC12896, Photonic and Phononic Properties of Engineered Nanostructures XIV, PC128960O (13 March 2024); https://doi.org/10.1117/12.3009656
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KEYWORDS
Metamaterials
Phonons
Elasticity
Acoustics
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