Abstract
In this paper, we study a two-dimensional electroelastic problem of two interface cracks between matrix and an inhomogeneity subjected to anti-plane shear stress and in-plane electric displacement. We formulate the stress intensity factor (SIF) and electric displacement intensity factor (EDIF) analytically. The SIF and EDIF are formulated by the potential functions representing the electroelastic field. These potential functions are obtained as the solutions of the Hilbert problems. The non-dimensional SIF and EDIF can be expressed by the product of two simple functions: one is the function of the non-dimensional lengths of the cracks, the other is the function of the non-dimensional material properties and the loads at infinity. The behavior of these functions, which characterize the effects of crack lengths, material properties and the loads at infinity on the SIF and EDIF, is examined for some cases.
