Metamaterials with amplitude gaps for elastic solitons

Nature Communications
Bolei DengKatia Bertoldi

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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Citations

Sep 3, 2019·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·F Dal CorsoD Bigoni
May 22, 2019·Physical Review. E·Weijian Jiao, Stefano Gonella
Aug 7, 2019·Physical Review Letters·Bolei DengJordan R Raney
Oct 24, 2019·Physical Review. E·Shmuel Katz, Sefi Givli
Jul 25, 2020·Nature Communications·Yangyang ChenGuoliang Huang
Feb 16, 2019·Physical Review Letters·Bolei DengKatia Bertoldi
Aug 20, 2019·Proceedings. Mathematical, Physical, and Engineering Sciences·Alexander P BrowningMatthew J Simpson
Dec 8, 2019·Nature Communications·Yafei ZhangC Q Chen
Jul 25, 2019·Nature Communications·Thibaut DevauxVincent Tournat
Jun 5, 2020·Science Advances·Bolei DengKatia Bertoldi
Nov 22, 2020·Proceedings of the National Academy of Sciences of the United States of America·Bolei DengKatia Bertoldi
Dec 18, 2020·Physical Review. E·Anna Vainchtein
Feb 20, 2021·Physical Review. E·Weijian Jiao, Stefano Gonella
Jul 17, 2021·Physical Review Letters·Jian LiTal Cohen

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