Fast multipole boundary element analysis for 2D problems of magneto-electro-elastic media

A two-dimensional (2D) fast multipole boundary element analysis of magneto-electro-elastic media has been developed in this paper. Fourier analysis is employed to derive the fundamental solution for the plane-strain magneto-electro-elasticity. The final formulations are very similar to those for the 2D potential problems, and hence it is quite easy to implement the fast multipole boundary element method. The results are verified by comparison with the analytical solutions to illustrate the accuracy and efficiency of the approach. The numerical examples of multi-inclusion magneto-electro-elastic composites are considered to show the versatility of the proposed approach in smart structure applications.