The influence of poling direction on an interface crack with contact zones in a piezoelectric bimaterial
摘要
The plane strain problem for an interface crack between two different piezoelectric materials with an arbitrary polarization direction under remote mechanical loading is analyzed. Mechanically frictionless and electrically permeable contact zones are assumed at the crack tips, and the remaining part of the crack is considered as electrically permeable. An analytical method is used based upon the presentations of the field variables via sectionally analytic vector functions with the resulting formulation and the solution of the combined Dirichlet–Riemann boundary value problem. Clear analytical expressions for crack opening and stresses along the bimaterial interface as well as for stress intensity factors are derived. Furthermore, a system of the transcendental equations for the determination of the contact zones lengths in the sense of Comninou is obtained. The numerical analysis performed for a certain piezoelectric bimaterial showed an essential influence of the changing poling direction on the stress intensity factors and the contact zones lengths as well as on the crack opening displacement and the variations in the stress at the bimaterial interface.