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

Wang, B. L.
October 2004
Applied Physics Letters;10/4/2004, Vol. 85 Issue 14, p2800
Academic Journal
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.


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