An invariant treatment of interfacial discontinuities in piezoelectric media

Research output: Contribution to journalArticle

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

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Tensors
Anisotropy
Boundary conditions

All Science Journal Classification (ASJC) codes

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

Cite this

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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.",
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An invariant treatment of interfacial discontinuities in piezoelectric media. / Chen, Tungyang.

In: International Journal of Engineering Science, Vol. 31, No. 7, 01.01.1993, p. 1061-1072.

Research output: Contribution to journalArticle

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