2D Green's functions for semi-infinite transversely isotropic electro-magneto-thermo-elastic composite

Green's functions play an important role in the analyses of electro-magneto-thermo-elastic composite. However, most works available on this topic are in case of identical temperature. Based on the compact 2D general solution of transversely isotropic electro-magneto-thermo-elastic composite, which is expressed in harmonic functions, and employing the trial-and-error method, the 2D Green's function for a steady point heat source in a semi-infinite electro-magneto-thermo-elastic plane is presented by five newly induced harmonic functions. Numerical results are given graphically by contours.