Anti-plane transverse waves propagation in nanoscale periodic layered piezoelectric structures

A-Li Chen; Dong-Jia Yan; Yue-Sheng Wang; Chuanzeng Zhang

doi:10.1016/j.ultras.2015.10.006

Anti-plane transverse waves propagation in nanoscale periodic layered piezoelectric structures

Ultrasonics. 2016 Feb:65:154-64. doi: 10.1016/j.ultras.2015.10.006. Epub 2015 Oct 23.

Authors

A-Li Chen¹, Dong-Jia Yan², Yue-Sheng Wang², Chuanzeng Zhang³

Affiliations

¹ Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China. Electronic address: alchen@bjtu.edu.cn.
² Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China.
³ Department of Civil Engineering, University of Siegen, Siegen D-57068, Germany.

PMID: 26518526
DOI: 10.1016/j.ultras.2015.10.006

Abstract

In this paper, anti-plane transverse wave propagation in nanoscale periodic layered piezoelectric structures is studied. The localization factor is introduced to characterize the wave propagation behavior. The transfer matrix method based on the nonlocal piezoelectricity continuum theory is used to calculate the localization factor. Additionally, the stiffness matrix method is applied to compute the wave transmission spectra. A cut-off frequency is found, beyond which the elastic waves cannot propagate through the periodic structure. The size effect or the influence of the ratio of the internal to external characteristic lengths on the cut-off frequency and the wave propagation behavior are investigated and discussed.

Keywords: Band structure; Localization factor; Nanoscale; Nonlocal piezoelectric continuum theory; Piezoelectricity.