Band gap of piezoelectric/piezomagnetic phononic crystal with graded interlayer
type: Item
instance of: scholarly article
title: Band gap of piezoelectric/piezomagnetic phononic crystal with graded interlayer
zbMATH Open document ID: 1318.74009
author: Man Lan
author: P. J. Wei
published in: Acta Mechanica
publication date: 2014-06-20T00:00:00Z
review text: This paper studies the dispersion curves and the band gaps of the SH-wave in a one-dimensional phononic crystal with piezoelectric or piezomagnetic components and graded interlayer. The graded interlayer with different gradient profiles is modeled as a system of homogeneous sublayers with both piezoelectric and piezomagnetic effects simultaneously. The variation of material properties is taken to obey the power law in the graded interlayer. The secular equation of the dispersion relation of waves is obtained by means of the transfer matrix method and the Bloch theorem, and it is solved numerically. The dispersive curves are found in the Brillouin zone. Both the propagation directions normal and oblique to the interface are studied. Numerical results are obtained for the graded interlayer between PZT-4H (piezoelectric) and CoFe2O4 (piezomagnetic) materials and that between PZT-5H (piezoelectric) and polythene (non-piezoelectric) material. The band gaps of the phononic crystal with and without graded interlayers are compared. The low- and high-frequency band gaps are found to be more sensitive to the propagation direction of the SH-wave and the graded profiles of the interlayer, respectively.
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74E15
Mathematics Subject Classification ID: 74J20
zbMATH DE Number: 6306012
zbMATH Keywords: SH-wave
zbMATH Keywords: dispersion curves
zbMATH Keywords: transfer matrix method
zbMATH Keywords: Bloch theorem
reviewed by: M. Cengiz Dökmeci
MaRDI profile type: Publication
full work available at URL: s00707-013-0984-1
OpenAlex ID: W2028314425
cites work: One-dimensional phononic crystals with locally resonant structures
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DOI: 10.1007/S00707-013-0984-1
description: scientific article; zbMATH DE number 6306012