On the problem of piezoelectric solid with an elliptic hole
压电体椭圆孔边的力学分析

An electroelastic analysis is performed on a transversely isotropic material containing elliptic hole, which subject to a uniform stress field $\sigma ^\infty $ and a uniform electric displacement field $D^\infty $ at infinity while the surface of the hole is free of traction and electrically open. Taking PZT-4 ceramic into consideration, the results based on the exact electric boundary conditions and the impermeable electric boundary conditions are all obtained. It can be seen that the related results of these two electric boundary conditions are entirely identical when the hole is a circular hole. The impermeable electric boundary condition is becoming incorrect with the elliptic hole degenerating into a crack. A comparison between these present results and the related results shows that the present results are validity. It also shows that some results given by Sosa are incorrect maybe due to his calculation, not the impermeable electric boundary.