Non-reciprocal wave propagation in mechanically-modulated continuous elastic metamaterials

The Journal of the Acoustical Society of America
Benjamin M GoldsberryM R Haberman

Abstract

Acoustic and elastic metamaterials with time- and space-dependent effective material properties have recently received significant attention as a means to induce non-reciprocal wave propagation. Recent analytical models of spring-mass chains have shown that external application of a nonlinear mechanical deformation, when applied on time scales that are slow compared to the characteristic times of propagating linear elastic waves, may induce non-reciprocity via changes in the apparent elastic modulus for perturbations around that deformation. Unfortunately, it is rarely possible to derive analogous analytical models for continuous elastic metamaterials due to complex unit cell geometry. The present work derives and implements a finite element approach to simulate elastic wave propagation in a mechanically-modulated metamaterial. This approach is implemented on a metamaterial supercell to account for the modulation wavelength. The small-on-large approximation is utilized to separate the nonlinear mechanical deformation (the "large" wave) from superimposed linear elastic waves (the "small" waves), which are then analyzed via Bloch wave analysis with a Fourier expansion in the harmonics of the modulation frequency. Results on non-r...Continue Reading

References

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Nov 24, 2018·Physical Review Letters·Yifan WangChiara Daraio

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Citations

Aug 3, 2019·The Journal of the Acoustical Society of America·Romain FleuryAndrew N Norris
Oct 2, 2020·Advanced Science·Maya Pishvar, Ryan L Harne
Jan 9, 2021·Physical Review Letters·Xianchen XuGuoliang Huang

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