Transient wave propagation in a transversely isotropic piezoelectric half-space
type: Item
instance of: scholarly article
title: Transient wave propagation in a transversely isotropic piezoelectric half-space
zbMATH Open document ID: 1005.74032
author: Shaofan Li
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2003-02-19T00:00:00Z
review text: This is an improved systematic analysis of transient response of piezoelectric materials. Up to now, the description of piezoelectrics was usually made by employing the so-called quasistatic approach where the equation for electric charge becomes elliptic; therefore, there was no possibility to examine the dynamic behaviour. Here, the author modifies the quasistatic description by including some new terms, thus introducing the so-called quasihyperbolic approximation. This new approach is used to analyze an important practical problem: a transversely isotropic material (class 6mm) occupies a half-space, and is in contact with an elastic isotropic material filling the other half-space. In such a formulation, the governing equations are drastically simplified. Some particular cases are discussed; in particular, the analysis reveals the production of Bleustein-Gulyaev waves, electroacoustic head wave, and purely electric wave.
Mathematics Subject Classification ID: 74J10
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 1525486
zbMATH Keywords: transversely isotropic piezoelectric half-space
zbMATH Keywords: bulk waves
zbMATH Keywords: quasihyperbolic approximation
zbMATH Keywords: Bleustein-Gulyaev waves
zbMATH Keywords: electroacoustic head wave
zbMATH Keywords: purely electric wave
reviewed by: Dumitru Stanomir
MaRDI profile type: Publication
full work available at URL: s000330050197
OpenAlex ID: W1997244073
DOI: 10.1007/S000330050197
description: scientific article; zbMATH DE number 1525486