Anti-plane analysis for elliptical inclusion in magnetoelectroelastic materials

This paper considers the multi-field coupling in magneroelectroelastic composite materials consisting of the inclusion and the matrix are magnetoelectroelastic materials. The mechanical, electric and magnetic fields around an elliptical cylinder inclusion are formulated by complex potentials. Inside the inclusion, the strain, electric and magnetic fields are found to be uniform and vary with the shape of the ellipse. When the inclusion is reduced to a crack, along the interface, the strain, electric field strength and magnetic field strength equal the corresponding remote ones, which can be used as the boundary condition. Special cases, such as a rigid and permeable inclusion, a soft and impermeable inclusion, a line inclusion and a crack problem are discussed in detail.