3D Green’s functions for a transversely isotropic thermoelastic cone

We use the compact harmonic general solutions of transversely isotropic thermoelastic materials to construct the three-dimensional Green’s functions of a steady point heat source on the apex of a transversely isotropic thermoelastic cone by three newly introduced harmonic functions. All components of thermoelastic field are expressed in terms of elementary functions and are convenient to use. When the apex angle 2α equals to π, the solution reduce to the important solution of semi-infinite body with a surface point heat source. Numerical results are given graphically by contours.