熱と調和ベクトルの回転を考慮したNeuberおよびGalerkinの解について

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  • On Neuber’s and Galerkin’s Solutions Taking Heat and the Curl of a Harmonic vector into Account

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Neuber’s and Galerkin’s solutions taking heat and the curl of a harmonic vector into account are derived from the Navier equation with the temperature field by means of the vector calculus. The solutions have one more vector potentials than those in Neuber’s and Galerkin’s solutions. When heat and body forces are neglected, and the curl of a harmonic vector is eliminated, the solutions are in agreement with Neuber’s and Galerkin’s solutions. The process of that is described in detail. Muki’s and Love’s solutions in cylindrical coordinates are extended to the case of he existence of heat and one body force, by making use of one the solutions.

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