We use the compact harmonic general solutions of transversely isotropic piezothermoelastic materials to construct the three-dimensional Green's function of a steady point heat source on the surface of a semi-infinite transversely isotropic piezothermoelastic material by four newly introduced harmonic functions. All components of the coupled field are expressed in terms of elementary functions and are convenient to use. Numerical results for cadmium selenide are given graphically by contours.
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