Abstract
This paper derives an exact solution of the steady propagated crack in a transverse isotropic piezoelectric material plane. In order to consider the medium in the crack gap, two cases have been studied. In the first case, the permittivity of the medium in the crack gap ea is far less than that of piezoelectric materials em. Therefore, the electric induction in the gap (Pak, 1990; Suo et al., 1992) is neglected. In the second case, the permittivity of the medium in the crack gap is comparable with that of piezoelectric material. This electric induction is considered. This result shows that the consideration of the induction has reduced the electric displacement intensity factor k4. Due to the influence of the dynamic effect, the elastic constants have become smaller as the dynamic anisotropy case. It must be pointed out that only the small speed of steady propagated crack is considered. Therefore, according to Sosa et al. (1999, 2001), the magnetic effect is neglected.
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