Multiple mixed-mode cracks in a magneto-electro-elastic half-plane under in-plane loading

Abstract

The mixed-mode problem of cracked magneto-electro-elastic (MEE) half-plane subjected to in-plane magneto-electro-mechanical loads is considered. The crack is modelled as distributed dislocations with unknown density and the closed form solution of the generalized dislocation is obtained by using the Fourier transform. Furthermore, stress, electric displacement and magnetic induction fields in the intact MEE half-plane, under magneto-electro-mechanical point forces are determined. These solutions are used to construct singular integral equations in the MEE half-plane with multiple cracks. The integral equations are solved numerically to obtain dislocation density functions on a crack surface. These functions are used to determine field intensity factors for cracks. The results show that the stress, electric displacement and magnetic induction intensity factors at the crack tips depend on crack geometry, patterns and the loading conditions. Moreover, the effect of the boundary of the MEE half-plane as well as interaction between cracks upon field intensity factors is investigated.