偶応力を考慮した共焦点中空楕円筒の熱応力

概要

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An analytical solution is presented for a plane-strain thermoelastic problem expressed in elliptical coordinates in confocal hollow elliptical cylinders with couple-stresses subjected to nonaxisymmetric steady-state heating on the elliptical boundaries. The steady-state heat conduction problem is confined to a symmetric one with respect to the x and y axes. The associated plane-strain thermoelastic couple-stress problem is formulated in terms of Airy's stress function and Mindlin's couple-stress function. The formulation includes an assurance of the single-valuedness of the rotation component in the confocal hollow elliptical cylinders with couple-stresses by Michell's condition expressed in elliptical coordinates. In order to demonstrate the effects of couple-stresses upon the behaviour of thermal-stress concentration in the vicinity of an elliptical hole in the confocal hollow elliptical cylinder, numerical calculations of the distribution of thermal stresses are carried out for three cases of aspect ratios of the elliptical hole and Poisson's ratio, and various values of new material constant based on Mindlin's couple stress theory.
一般社団法人日本機械学会の論文
1991-02-25