Analytical solutions for an antiplane problem of two dissimilar functionally graded magnetoelectroelastic half-planes

In this study, the two-dimensional analysis of two bonded dissimilar half-planes for functionally graded magnetoelectroelastic materials subjected to generalized line forces and screw dislocations is presented. The variations of the material properties are assumed to be exponential forms. By using the Fourier-transform technique, Green's function for the transversely isotropic magnetoelectroelastic nonhomogeneous bimaterial is obtained from the jump and interface continuity conditions. Numerical results for the full-field distributions of the stresses, electric fields, and magnetic fields with different functionally graded parameters are presented. It is noted that the elastic, electric, and magnetic fields are all continuous at the interface in the nonhomogeneous bimaterial if the material constants at the interface are continuous. Furthermore, this functionally graded bimaterial has identical contour slopes for the generalized stresses across the interface.