定常点熱源に対する半無限横等方性弾性体の軸対称グリーン関数

概要

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In this paper, we present the axi-symmetric Green's functions for a steady heat source in a semi-infinitetransversely isotropic thermoelastic solid when the functions are expressed as the cylindrical coordinates. The functions for thermal boundary conditions, both cases of the adiabatic condition and/or the zero temperature difference from the standard temperature prescribed on the boundary plane, and for mechanical boundary condition, only the displacement u_z in the direction z vanishes on the boundary plane, are treated. To obtain the solutions of the problem the mirror refrection method is developed by using the solution of the infinite transversely isotropic thermoelastic solid reported in the previous paper. As a special case of the solutions, Green's functions for a semi-infinite isotropic thermoelastic solid are also shown. Finally, numerical results for transversely isotropic materials of zinc including the isotropic case are given for the stress and displacement components.
2006-10-30