Interaction between two piezoelectric inhomogeneities and a crack in an infinite body

In this study, we analyze a two-dimensional electroelastic problem of an infinite piezoelectric body with two circular piezoelectric inhomogeneities, one of which contains a crack. We formulate the stress intensity factor (SIF) analytically and investigate the effect of interaction between inhomogeneities and a crack on the SIF numerically. We consider that the body is subjected to anti-plane shear mechanical loads and in-plane electrical loads at infinity. The SIF is formulated by regarding the crack as distributed screw dislocation. The distribution function of screw dislocation is obtained as the solution of a singular integral equation of the first kind. Some numerical results are shown to investigate the effect of the interaction between two inmonogeneities and the crack on the SIF.