Singularity of subsonic and transonic crack propagations along interfaces of magnetoelectroelastic bimaterials

Abstract

The unified method for addressing the propagation of subsonic and transonic cracks along the interfaces of anisotropic bimaterials in Shen and Nishioka (2000) is applied in this paper for the plain strain problem of subsonic and transonic crack propagation along the interfaces of anisotropic magnetoelectroelastic (MEE) bimaterials. Using a modified EshelbyStroh formalism and analytic continuation, the problem here leads to a Riemann-Hilbert problem. After solving the Riemann-Hilbert equation, near-tip asymptotic fields are obtained, which shows the properties of the subsonic and transonic crack propagation in an MEE bimaterial system. Finally, the numerical results related to different singularity powers of the crack-tip are presented and discussed for barium titanate-cobalt ferrite (BaTiO3-CoFe2O4) composites. The effects of piezoelectricity and piezomagnetics are also examined.