Analytical solutions of 3D anisotropic magneto-electro-elastic bi-materials under extended non-uniform dislocations and tractions over a circular area

In this paper, we derive the analytical solutions in a three-dimensional magneto-electro-elastic (MEE) bi-material under extended dislocations and tractions generally distributed over a horizontal circular area by virtue of the extended Stroh formalism and Fourier transformation. Explicit analytic results of the Hankel transform integrals of different orders and three kernel integrals are obtained so that the final solutions in the physical domain can be expressed in simple line-integral form. Some existing solutions in MEE materials can be reduced directly from the general solutions presented in this paper. The effect of different non-uniform loadings (dislocations and tractions) on the induced fields in MEE bi-material is investigated. Our analytical solutions can serve as benchmarks for future numerical analysis of various problems in MEE bi-materials.