Diffraction of SH-waves by an Interfacial Crack Between a Magnetoelectroelastic Solid and an Elastic Material

Abstract

Within the framework of the dynamic theory of linear magnetoelectroelasticity, the scattering of anti-plane shear waves by an interfacial crack is investigated. It is assumed that a crack of finite length is located at the interface of a magnetoelectroelastic material and an elastic solid, and SH-waves are directed at an angle relative to the crack face. The Fourier transform is applied to solve the governing differential equations. Singular integral equations with Cauchy kernel of the first kind are reduced for fully electromagnetically permeable and impermeable boundary conditions, respectively. Numerical computations are carried out for several special bi-materials. Obtained results are presented for the dynamic field intensity factors and energy release rates, and the influences of the normalized frequency and incident angle θ are illustrated graphically.