Analysis of a penny-shaped crack in magnetoelectroelastic materials

Cracks in magnetoelectroelastic fracture have been extensively assumed to be impermeable or permeable to the electromagnetic fields. Past analysis suggested that even in piezoelectric cracking, the permeability of the medium inside the crack has a substantial influence on the crack-tip fields and the crack opening displacement. This paper performs a self-consistent analysis for magnetoelectroelastic cracking. An internal penny-shaped crack in a magnetoelectroelastic material under remote magnetoelectromechanical loads is investigated. Effects of electric and magnetic permeabilities inside the cracks in magnetoelectroelastic media are clarified. It is found that the self-consistent approach and the traditional ideal assumptions (impermeable and permeable assumptions) to the crack-face electric and magnetic boundary conditions produce substantial differences for the crack-tip quantities, such as the field intensity factors, energy release rate, and crack opening displacement.