Localization of elastic waves in one-dimensional detuned phononic crystals with flexoelectric effect

IF 4.5 3区材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY International Journal of Smart and Nano Materials Pub Date : 2022-04-03 DOI:10.1080/19475411.2022.2069875

Cheng Shen, Yifan Kong, T. J. Lu, Shasha Yang

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引用次数: 4

Abstract

ABSTRACT Although forbidden band effect in perfectly periodic phononic crystals (PC) is very attractive, random disordered (i.e. detuning) phenomenon is inevitable in engineering processing, thus exploring the effect of detuning on the wave characteristics of PC becomes a necessity. In this study, fundamental governing equations and boundary conditions are derived from the principle of virtual work. Wave characteristics and localization factor of one-dimensional (1D) detuned nano-PC are investigated based on the transfer matrix method, with flexoelectric effect duly accounted for. Subsequently, with nano-PC taken for illustration, forbidden band properties and localization factor of 1D elastic waves in harmonic and detuned states are systematically characterized. It is demonstrated that localization factor can characterize the energy band structure of 1D PC perfectly. Flexoelectric effect tends to widen the width of forbidden band with increasing detuning, and detuning is linearly related to the bandwidth. The forbidden band is more sensitive to flexoelectric coefficient detuning than thickness detuning. The research results provide useful theoretical guidance for designing high-frequency nanoscaled devices with the function of filtering based on band gap effect of nano-PC. Graphical abstract

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具有挠性电效应的一维失谐声子晶体中弹性波的局域化

摘要尽管完美周期声子晶体（PC）中的禁带效应非常吸引人，但在工程处理中不可避免地会出现随机无序（即失谐）现象，因此有必要探索失谐对PC波特性的影响。在这项研究中，从虚功原理导出了基本的控制方程和边界条件。基于传递矩阵法，在充分考虑柔性电效应的情况下，研究了一维失谐纳米PC的波特性和局域因子。随后，以纳米PC为例，系统地表征了一维弹性波在谐波和失谐状态下的禁带特性和局域因子。结果表明，局域因子可以很好地表征一维光子晶体的能带结构。随着失谐量的增加，柔性电效应往往会使禁带宽度变宽，并且失谐量与带宽呈线性关系。禁带对柔性电系数失谐比对厚度失谐更敏感。研究结果为基于纳米PC带隙效应设计具有滤波功能的高频纳米器件提供了有益的理论指导。图形摘要

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来源期刊

International Journal of Smart and Nano Materials MATERIALS SCIENCE, MULTIDISCIPLINARY-

CiteScore

6.30

自引率

5.10%

发文量

审稿时长

11 weeks

期刊介绍： The central aim of International Journal of Smart and Nano Materials is to publish original results, critical reviews, technical discussion, and book reviews related to this compelling research field: smart and nano materials, and their applications. The papers published in this journal will provide cutting edge information and instructive research guidance, encouraging more scientists to make their contribution to this dynamic research field.