On piezoelectric inhomogeneity related problems - Part I: A close-form solution for the stress field outside a circular piezoelectric inhomogeneity

Z. M. Xiao, J. Bai

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

The stress investigation for a circular piezoelectric fiber sensor embedded in a non-piezoelectric elastic material has been carried out. During the formulation procedure, the inhomogeneity problem is partially decoupled into an elastic problem and a dielectric inhomogeneity problem connected via some eigenstrain and eigen-electric field. The stress field inside the piezoelectric fiber sensor (the inhomogeneity) is evaluated based on Eshelby's equivalent inclusion method. While the explicit close-form solution for the stress distribution outside the inhomogeneity is obtained through Tanak-Mura's superposition process. The analytical solutions presented in this paper have been checked and confirmed by finite element analysis results.

Original languageEnglish (US)
Pages (from-to)945-959
Number of pages15
JournalInternational Journal of Engineering Science
Volume37
Issue number8
DOIs
StatePublished - Jun 1999

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