A penny-shaped crack in a magnetoelectroelastic cylinder surrounded by a rigid body and subjected to magnetoelectromechanical loads

摘要

The fracture behavior of a penny-shaped crack in a constrained magnetoelectroelastic cylinder of finite radius under magnetoelectromechanical loads is investigated. The crack surfaces are assumed to be magnetoelectrically permeable. Eight kinds of possible boundary conditions at infinity are considered. The potential function theory and Hankel transform method are used to obtain a system of dual integral equations, the solution of which is further given by solving a Fredholm integral equation of the second kind. The field intensity factors are obtained and analyzed. The effects of both the ratio of crack radius to cylinder radius and the applied magnetoelectrical loads at infinity on the stress intensity factor are evaluated. The obtained results and/or conclusions could be of particular interest to the analysis and design of smart sensors/actuators constructed from magnetoelectroelastic composite laminates.