Effects of geometric and material nonlinearities on tunable band gaps and low-frequency directionality of phononic crystals

Pai Wang, Jongmin Shim, and Katia Bertoldi

Phys. Rev. B 88, 014304 – Published 22 July 2013

Abstract

We investigate the effects of geometric and material nonlinearities introduced by deformation on the linear dynamic response of two-dimensional phononic crystals. Our analysis not only shows that deformation can be effectively used to tune the band gaps and the directionality of the propagating waves, but also reveals how geometric and material nonlinearities contribute to the tunable response of phononic crystals. Our numerical study provides a better understanding of the tunable response of phononic crystals and opens avenues for the design of systems with optimized properties and enhanced tunability.

Received 4 March 2013

DOI:https://doi.org/10.1103/PhysRevB.88.014304

Authors & Affiliations

Pai Wang¹, Jongmin Shim², and Katia Bertoldi^1,3

¹School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA
²Department of Civil, Structural and Environmental Engineering, University at Buffalo, Buffalo, New York 14260, USA
³Kavli Institute, Harvard University, Cambridge, Massachusetts 02138, USA

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Issue

Vol. 88, Iss. 1 — 1 July 2013

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Physical Review B

covering condensed matter and materials physics