定常点熱源に対する半無限横等方性弾性体のグリーン関数 : 支配微分方程式の特性根が二重根・三重根の場合

概要

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Green's functions reported in the previous paper were the solutions for single root in the characteristic equation of a semi-infinite transversely isotropic thermoelastic solid with a steady heat source. The functions were expressed in a Cartesian coordinate system. In this paper, Green's functions for 2-ple and 3-ple roots in the characteristic equation of a semi-infinite transversely isotropic thermoelastic solid with a steady heat source are presented. A different term from the functions for single root in the characteristic equation appears in these solutions. For thermal boundary conditions, both cases of adiabatic condition and the temperature prescribed on the boundary plane are treated, and for the stress and the displacement boundary conditions the following three cases are treated ; (1) stresses are free, (2) all components of displacement are fixed, (3) only displacement in the normal direction is fixed.
一般社団法人日本機械学会の論文
1999-04-25