Moving antiplane crack between two dissimilar piezoelectric media

A systematic study is performed for the antiplane problem of a moving interfacial crack between two dissimilar piezoelectric media subjected to piecewise uniform loads at infinity, respectively. Different points from the relevant analyses done by other authors lie in: (1) The present analysis is based on the permeable crack model, i.e., the crack is considered as a traction-free, but permeable slit and thus both the normal component of the electric displacement and the tangential component of the electric field are assumed to be continuous across the slit. (2) A complete set of solutions are presented for three different crack speed regimes, i.e., subcritical speed regime, transonic speed regime and supersonic speed regime. (3) The analysis is conducted by use of a set of newly established complex function formulas, rather than the traditional integral transform approach. As a result, exact and explicit solutions are obtained both in the media and inside the crack. It is shown from these results that near the crack tips, all the variables of field may exhibit the square-root singularities, oscillatory nature or non-singularities, which are dependent on the crack speed. However, all these singularities are independent of the applied electric load at infinity, which is different from those results based on the impermeable crack model.