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Metamaterials with amplitude gaps for elastic solitons

Abstract : We combine experimental, numerical, and analytical tools to design highly nonlinear mechanical metamaterials that exhibit a new phenomenon: gaps in amplitude for elastic vector solitons (i.e., ranges in amplitude where elastic soliton propagation is forbidden). Such gaps are fundamentally different from the spectral gaps in frequency typically observed in linear phononic crystals and acoustic metamaterials and are induced by the lack of strong coupling between the two polarizations of the vector soliton. We show that the amplitude gaps are a robust feature of our system and that their width can be controlled both by varying the structural properties of the units and by breaking the symmetry in the underlying geometry. Moreover, we demonstrate that amplitude gaps provide new opportunities to manipulate highly nonlinear elastic pulses, as demonstrated by the designed soliton splitters and diodes.
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https://hal.archives-ouvertes.fr/hal-02118056
Contributor : Vincent Tournat Connect in order to contact the contributor
Submitted on : Thursday, May 2, 2019 - 6:18:49 PM
Last modification on : Thursday, September 2, 2021 - 2:55:59 PM

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Bolei Deng, Pai Wang, Qi He, Vincent Tournat, Katia Bertoldi. Metamaterials with amplitude gaps for elastic solitons. Nature Communications, Nature Publishing Group, 2018, 9 (1), ⟨10.1038/s41467-018-05908-9⟩. ⟨hal-02118056⟩

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