Plane problem of piezoelectric strip with semi-infinite collinear cracks penetrating across the material and perpendicular to the poling direction

Using the generalized complex variable method, the plane problem of the piezoelectric strip with semi-infinite collinear cracks penetrating across the material perpendicular to the poling direction is discussed by proposing a new generalized conformal mapping. With the assumption that the surface of the crack was electrically impermeable, the analytical solutions of the field intensity factors are presented. In addition, analytical solutions of some new defects can be derived as the height of the strip and the size of the crack change by a certain tendency. Finally, the influences of the distance of the two cracks, the height of the strip and the loaded crack length on the field intensity factors are obtained through some numerical examples.