Exact electroelastic solutions for penny-shaped cracks under prescribed temperature or thermal flow

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Abstract

This letter provides an exact solution for a thermal penny-shaped crack in piezoelectric media. An arbitrarily distributed temperature field applied on the crack faces is considered first. Closed-form expressions for the stress and electric displacement intensity factors at the crack border are given. Electrically impermeable cracks, electrically permeable cracks, and the permittivity of the medium inside the cracks are considered. Then, crack tip field intensity factors for a prescribed thermal flow on the crack faces are obtained. The solutions are mainly provided for transversely isotropic materials, but results for isotropic materials and dielectrics are also given.
Original languageEnglish
Pages (from-to)2800-2802
Number of pages3
JournalApplied Physics Letters
Volume85
Issue number14
DOIs
Publication statusPublished - 2004

Keywords

  • piezoelectric materials
  • thermal conductivity

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