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Title: Designing Phononic Crystals with Wide and Robust Band Gaps

Abstract

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 greatmore » potential in designing flexible and deformable phononic devices.« less

Authors:
 [1];  [2];  [1];  [1]
  1. State Univ. of New York at Stony Brook, Stony Brook, NY (United States)
  2. National Renewable Energy Lab. (NREL), Golden, CO (United States)
Publication Date:
Research Org.:
National Renewable Energy Lab. (NREL), Golden, CO (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE); National Science Foundation (NSF); US Department of the Navy, Office of Naval Research (ONR)
OSTI Identifier:
1435705
Report Number(s):
NREL/JA-5400-71426
Journal ID: ISSN 2331-7019; PRAHB2; TRN: US1900085
Grant/Contract Number:  
AC36-08GO28308
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Applied
Additional Journal Information:
Journal Volume: 9; Journal Issue: 4; Journal ID: ISSN 2331-7019
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; acoustic metamaterials; band gap; defects; mechanical and acoustical properties; mechanical deformation; phonons

Citation Formats

Jia, Zian, Chen, Yanyu, Yang, Haoxiang, and Wang, Lifeng. Designing Phononic Crystals with Wide and Robust Band Gaps. United States: N. p., 2018. Web. doi:10.1103/PhysRevApplied.9.044021.
Jia, Zian, Chen, Yanyu, Yang, Haoxiang, & Wang, Lifeng. Designing Phononic Crystals with Wide and Robust Band Gaps. United States. doi:10.1103/PhysRevApplied.9.044021.
Jia, Zian, Chen, Yanyu, Yang, Haoxiang, and Wang, Lifeng. Mon . "Designing Phononic Crystals with Wide and Robust Band Gaps". United States. doi:10.1103/PhysRevApplied.9.044021. https://www.osti.gov/servlets/purl/1435705.
@article{osti_1435705,
title = {Designing Phononic Crystals with Wide and Robust Band Gaps},
author = {Jia, Zian and Chen, Yanyu and Yang, Haoxiang and Wang, Lifeng},
abstractNote = {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.},
doi = {10.1103/PhysRevApplied.9.044021},
journal = {Physical Review Applied},
number = 4,
volume = 9,
place = {United States},
year = {2018},
month = {4}
}

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