Three-dimensional eigenfunction analysis of a crack in a piezoelectric material

https://doi.org/10.1016/0020-7683(90)90090-IGet rights and content

Abstract

A three-dimensional analysis of a semi-infinite crack embedded in a transversely isotropic piezoelectric material was performed by means of the eigenfunction expansions method. The results show the characteristic 1/√r singular behavior of the stress tensor in the vicinity of the crack. A similar behavior is also revealed for the electric field. In addition the study demonstrates that coupling (or decoupling) of the mechanical and electrical variables is a function of the distance to the crack tip as well as of the crack orientation.

References (8)

  • V.Z. Parton

    Fracture mechanics of piezoelectric materials

    Acta Astronautica

    (1976)
  • W.F. Deeg

    The analysis of dislocation, crack, and inclusion problems in piezoelectric solids

  • S.W. Frieman

    Mechanical behavior of ferroelectric ceramics

  • W.B. Harrison et al.

    Monolithic multilayer piezoelectric ceramic transducers

There are more references available in the full text version of this article.

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