Conducting cracks in dissimilar piezoelectric media

H. G. Beom, S. N. Atluri

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

Complete stress and electric fields near the tip of a conducting crack between two dissimilar anisotropic piezoelectric media, are obtained in terms of two generalized bimaterial matrices proposed in this paper. It is shown that the general interfacial crack-tip field consists of two pairs of oscillatory singularities. New definitions of real-valued stress and electric field intensity factors are proposed. Exact solutions of the stress and electric fields for basic interface crack problems are obtained. An alternate form of the J integral is derived, and the mutual integral associated with the J integral is proposed. Closed form solutions of the stress and electric field intensity factors due to electromechanical loading and the singularities for a semi-infinite crack as well as for a finite crack at the interface between two dissimilar piezoelectric media, are also obtained by using the mutual integral.

Original languageEnglish
Pages (from-to)285-301
Number of pages17
JournalInternational Journal of Fracture
Volume118
Issue number4
DOIs
StatePublished - Dec 2002

Keywords

  • Analytic functions
  • Conservation integrals
  • Electromechanical fracture

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