Pre-kinking analysis of a constant moving crack in a magnetoelectroelastic strip under in-plane loading

A constant moving crack in a magnetoelectroelastic strip under in-plane mechanical, electric and magnetic loading is considered for impermeable and permeable crack surface boundary conditions, respectively. Fourier transform is applied to reduce the mixed boundary value problem of the crack to dual integral equations, which are further transformed into Fredholm integral equations of the second kind. Steady state asymptotic fields near the crack tip are obtained and the corresponding field intensity factors are defined. The exact solution for a cracked infinite magnetoelectroelastic material can be recovered if the width of the strip tends to infinity. The crack speed and the geometric size of the strip affect the singular field distribution around the crack tip and the influences of electric and magnetic loading on the crack tip fields are discussed. The crack kinking phenomenon is investigated by applying the maximum hoop stress intensity factor criterion.