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Metamaterials with amplitude gaps for elastic solitons

Author

Listed:
  • Bolei Deng

    (Harvard University)

  • Pai Wang

    (Harvard University)

  • Qi He

    (Tsinghua University)

  • Vincent Tournat

    (Le Mans Université)

  • Katia Bertoldi

    (Harvard University
    Harvard University)

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.

Suggested Citation

  • Bolei Deng & Pai Wang & Qi He & Vincent Tournat & Katia Bertoldi, 2018. "Metamaterials with amplitude gaps for elastic solitons," Nature Communications, Nature, vol. 9(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:9:y:2018:i:1:d:10.1038_s41467-018-05908-9
    DOI: 10.1038/s41467-018-05908-9
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    Cited by:

    1. Lei Wu & Damiano Pasini, 2024. "Zero modes activation to reconcile floppiness, rigidity, and multistability into an all-in-one class of reprogrammable metamaterials," Nature Communications, Nature, vol. 15(1), pages 1-13, December.
    2. Weijian Jiao & Hang Shu & Vincent Tournat & Hiromi Yasuda & Jordan R. Raney, 2024. "Phase transitions in 2D multistable mechanical metamaterials via collisions of soliton-like pulses," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    3. Eric Cereceda-López & Alexander P. Antonov & Artem Ryabov & Philipp Maass & Pietro Tierno, 2023. "Overcrowding induces fast colloidal solitons in a slowly rotating potential landscape," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

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