A boundary integral formulation and solution for 2D problems in magneto-electro-elastic media

The general solution for the plane problem of magneto-electro-elastic media is derived in terms of four harmonic functions using strict differential operator theory for the case of distinct material eigenvalues. The two-dimensional fundamental solution for an infinite magneto-electro-elastic plane is further obtained by virtue of the trial-and-error method on the basis of the general solution. A boundary element method program is finally implemented to perform the numerical calculations. It is found that the BEM results agree well with those of the two exact solutions, which are also derived in this paper.