Field intensity factors of a penny-shaped crack in a magnetoelectroelastic layer

Abstract

This paper considers the coupled field of a horizontal penny-shaped crack in a transversely isotropic magnetoelectroelastic layer subjected to mechanical, electric and magnetic loading. Hankel integral transform techniques and integral equation methods are used to formulate the boundary-value problem corresponding to a crack. The integral equation system is solved by using numerical quadrature. Solutions for the crack-tip stress intensity factors, electric displacement intensity factor and magnetic induction intensity factor are derived and computed to examine the behaviour of a penny-shaped crack for different layer heights, crack depths and loading. It is found that both positive electric and negative magnetic loading enhances crack propagation. Stress intensity factors show substantial dependence on crack depth whereas electric displacement and magnetic induction intensity factors are relatively insensitive to the depth of a crack.