Magnetoelectroelastic analysis of an arbitrary shape inclusion undergoing eigenfields and remote loadings

Within the framework of the linear theory of magnetoelectroelasticity, the problem of an arbitrary shape inclusion in an entire plane under remotely uniform in-plane electromagnetic and anti-plane mechanical loadings is investigated in this paper. The inclusion is undergoing eigenfields and has different magnetoelectroelastic moduli as that of the matrix. Using complex variable and Faber series method, the complex potential for each component can be expressed in series form with unknown coefficients. The continuity conditions of the interfaces are used to build up a set of linear equations to determine the unknown coefficients. Through solving these linear equations, one can obtain the complex potentials both inside the inclusion and in the matrix. Numerical results are provided and shown that different combinations of piezoelectric/piezomagnetic exhibit significant magnetoelectromechanical coupling effect that is not present in single-phase piezoelectric or piezomagnetic material. Applying appropriate remote loadings and eigenfields can effectively reduce stress level and increase magnetoelectric response around the inclusion.