Field intensity factors of a mode-Ⅲ semi-infinite crack in a magnetoelectroelastic strip

By introducing an appropriate conformal mapping and using the complex variable function method, the fracture behavior of a semi-infinite crack in a magnetoelectroelastic strip was studied under the anti-plane shear stress and in-plane electric and magnetic loads. The analytical solutions of the field intensity factors and the energy release rate were presented with the assumption that the surface of the crack was electrically and magnetically impermeable. When the height of the strip tends to infinity, the analytical solutions of an infinitely large magnetoelectroelastic solid with a semi-infinite crack were obtained. Moreover, the present results can be reduced to the well-known solutions for a purely elastic material in the absence of electric and magnetic loadings. In addition, some numerical examples were conducted to analyze the influences of loaded crack length, the height of the strip and applied mechanical, electric and magnetic loads on the energy release rate.