An electrically impermeable and magnetically permeable interface crack with a contact zone in a magnetoelectroelastic bimaterial under uniform magnetoelectromechanical loads

An interface crack with a frictionless contact zone at the right crack tip between two dissimilar magnetoelectroelastic materials under the action of remote mechanical, electrical and magnetic loads is considered. The open part of the crack is assumed to be electrically impermeable and magnetically permeable. Both the Dirichlet–Riemann boundary value problem and Hilbert problem have been formulated and solved exactly. Stress, electrical displacement and magnetic induction intensity factors as well as energy release rate are found in analytical forms. Transcendental equations and a closed form analytical formula for the determination of the real contact zone length have been derived and analyzed. Some numerical results are plotted to show the effects of the applied loads on the contact zone length, stress intensity factor and energy release rate.