title: Anti-plane transverse waves propagation in nanoscale periodic layered piezoelectric structures.
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.
authors.affiliation: Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China. Electronic address: alchen@bjtu.edu.cn.
authors.forename: A-Li
authors.initials: AL
authors.lastname: Chen
authors.affiliation: Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China.
authors.forename: Dong-Jia
authors.initials: DJ
authors.lastname: Yan
authors.affiliation: Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China.
authors.forename: Yue-Sheng
authors.initials: YS
authors.lastname: Wang
authors.affiliation: Department of Civil Engineering, University of Siegen, Siegen D-57068, Germany.
authors.forename: Chuanzeng
authors.initials: C
authors.lastname: Zhang
keywords: Band structure; Localization factor; Nanoscale; Nonlocal piezoelectric continuum theory; Piezoelectricity