Designing Phononic Crystals with Wide and Robust Band Gaps

Jia, Zian; Chen, Yanyu; Yang, Haoxiang; Wang, Lifeng

doi:10.1103/PhysRevApplied.9.044021

Designing Phononic Crystals with Wide and Robust Band Gaps

Journal Article · Mon Apr 16 00:00:00 EDT 2018 · Physical Review Applied

DOI:https://doi.org/10.1103/PhysRevApplied.9.044021· OSTI ID:1435705

Jia, Zian ^[1]; Chen, Yanyu ^[2]; Yang, Haoxiang ^[1]; Wang, Lifeng ^[1]

State Univ. of New York at Stony Brook, Stony Brook, NY (United States)
National Renewable Energy Lab. (NREL), Golden, CO (United States)

Here, phononic crystals (PnCs) engineered to manipulate and control the propagation of mechanical waves have enabled the design of a range of novel devices, such as waveguides, frequency modulators, and acoustic cloaks, for which wide and robust phononic band gaps are highly preferable. While numerous PnCs have been designed in recent decades, to the best of our knowledge, PnCs that possess simultaneous wide and robust band gaps (to randomness and deformations) have not yet been reported. Here, we demonstrate that by combining the band-gap formation mechanisms of Bragg scattering and local resonances (the latter one is dominating), PnCs with wide and robust phononic band gaps can be established. The robustness of the phononic band gaps are then discussed from two aspects: robustness to geometric randomness (manufacture defects) and robustness to deformations (mechanical stimuli). Analytical formulations further predict the optimal design parameters, and an uncertainty analysis quantifies the randomness effect of each designing parameter. Moreover, we show that the deformation robustness originates from a local resonance-dominant mechanism together with the suppression of structural instability. Importantly, the proposed PnCs require only a small number of layers of elements (three unit cells) to obtain broad, robust, and strong attenuation bands, which offer great potential in designing flexible and deformable phononic devices.

View Accepted Manuscript (DOE)

Research Organization:: National Renewable Energy Laboratory (NREL), Golden, CO (United States)

Sponsoring Organization:: USDOE Office of Energy Efficiency and Renewable Energy (EERE); National Science Foundation (NSF); Office of Naval Research

Grant/Contract Number:: AC36-08GO28308

OSTI ID:: 1435705

Report Number(s):: NREL/JA--5400-71426

Journal Information:: Physical Review Applied, Journal Name: Physical Review Applied Journal Issue: 4 Vol. 9; ISSN 2331-7019; ISSN PRAHB2

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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