Boundary effect on crack kinking in a magnetoelectroelastic strip with a central crack

In this study, the boundary effect on crack kinking in a magnetoelectroelastic strip with a central crack vertical to the boundary under in-plane loadings has been investigated. By using integral transform techniques the mixed boundary value problem of the crack is reduced to the solution of dual integral equations, which can be further reduced to solving Fredholm integral equations of the second kind. Analytical solutions can be obtained when the width of the magnetoelectroelastic strip are of infinite size. The asymptotic fields around crack-tips have been obtained for the electrically and magnetically impermeable and permeable cracks, respectively. Crack kinking phenomenon is investigated by applying the criterion of maximum hoop stress intensity factor. Numerical results show that the material properties, the geometry of the cracked strip and the electric-magnetic-mechanical loading significantly affect the singular field distributions around the crack. Crack kinking is found for the permeable crack case while no kinking for the impermeable crack.