{"title":"On the existence of interfacial (Stoneley) waves in bonded piezoelectric half-spaces","authors":"M. Abbudi, D. Barnett","doi":"10.1098/rspa.1990.0075","DOIUrl":null,"url":null,"abstract":"A new definition of the piezoelectric limiting speed, based on the piezoelectrically stiffened acoustical tensor is introduced. The Stoneley wave problem is readily formulated for bonded piezoelectric half-spaces in both the Φ and F representations introduced by Lothe & Barnett. The notion of the F piezoelectric interfacial impedance tensor, which is an extension of the elastic interfacial impedance tensor, is used to show that a maximum of two subsonic Stoneley waves can occur. A definite existence criterion for a single subsonic piezoelectric Stoneley mode is given, and a numerical scheme that searches for Stoneley modes, when they exist for a given geometry and material combination, is also presented along with a numerical example for two joined cadmium sulphide half-spaces.","PeriodicalId":20605,"journal":{"name":"Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1990-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"33","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1098/rspa.1990.0075","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 33
Abstract
A new definition of the piezoelectric limiting speed, based on the piezoelectrically stiffened acoustical tensor is introduced. The Stoneley wave problem is readily formulated for bonded piezoelectric half-spaces in both the Φ and F representations introduced by Lothe & Barnett. The notion of the F piezoelectric interfacial impedance tensor, which is an extension of the elastic interfacial impedance tensor, is used to show that a maximum of two subsonic Stoneley waves can occur. A definite existence criterion for a single subsonic piezoelectric Stoneley mode is given, and a numerical scheme that searches for Stoneley modes, when they exist for a given geometry and material combination, is also presented along with a numerical example for two joined cadmium sulphide half-spaces.