Fracture and effective properties of finite magnetoelectroelastic media

Abstract

Magnetoelectroelastic materials are inherently brittle and prone to cracking. It is important to understand how cracks influence the magnetoelectrical coupling properties of the magnetoelectroelastic materials. This article establishes an analytical model for a finite crack in a finite magnetoelectroelastic medium. The stress, electric displacement, and magnetic induction and their intensity factors are obtained by the integral equation technique. The temperature effect is also studied. The effect of cracking on the effective thermomagnetoelectromechanical properties is discussed. In addition, crack is modeled as a notch of finite height to study the effect of the crack-face electric and magnetic boundary condition assumptions on the predicted properties of the magnetoelectroelastic medium.