Closed-Form Solution for an Antiplane Interface Crack between Two Dissimilar Magnetoelectroelastic Layers

Abstract

In recent years, ferroelectromagnetic laminated composites have aroused worldwide research interest. In this paper, we developed a closed-form solution for antiplane mechanical and in-plane electric and magnetic fields for a crack between two dissimilar magnetoelectroelastic layers of finite thickness. Explicit expressions for stresses, electric and magnetic fields, together with their intensity factors are obtained for the two extreme cases of an impermeable and a permeable crack. Solutions for some special cases, such as a homogeneous magnetoelectroelastic layer, two magnetoelectroelastic layers with opposite poling directions, and a piezoelectric layer bonded to a piezomagnetic layer are also obtained. Explicit relations between the field intensity factors and the energy release rates for the interface crack are provided.