Abstract
We use the compact mono-harmonic general solutions of transversely isotropic magneto-electro-thermo-elastic materials to construct the three-dimensional solutions of a steady point heat source on the apex of a transversely isotropic magneto-electro-thermo-elastic cone by five newly introduced mono-harmonic functions. All components of coupled field are expressed in terms of elementary functions and are convenient to use. When the apex angle 2α equals to π, the solutions reduce to those of the semi-infinite body problem. Numerical results are given graphically by contours.
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