An invariant treatment of interfacial discontinuities in piezoelectric media

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16 Citations (Scopus)

Abstract

Interfacial discontinuities are examined in piezoelectric media of general anisotropy. The analysis relies on decomposing second-rank tensors at an interface into exterior and interior parts, and on decomposing first-rank tensors at an interface into normal and tangential parts. The solutions depend on three independent interfacial operators, one fourth-rank, one third-rank, and one second-rank tensors. By constructing appropriate augmented matrices, the topic can be treated systematically as that of uncoupled field equations. This leads to a concise organization of the solutions of inclusion and inhomogeneity problems. In applications exact results are given for the matrix interfacial quantities under uniform boundary conditions and/or under uniform transformation fields in the inclusion.

Original languageEnglish
Pages (from-to)1061-1072
Number of pages12
JournalInternational Journal of Engineering Science
Volume31
Issue number7
DOIs
Publication statusPublished - 1993 Jan 1

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Engineering(all)
  • Mechanics of Materials
  • Mechanical Engineering

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