カシヤの不均質体における軸対称熱弾性問題の定式化と半無限体に対する熱応力解析

概要

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In this study, an analytical method of development of thermoelastic problems for a medium with Kassir's nonhomogeneous material properties is developed. For the isothermal problems of such a nonhomogeneous body, an analytical method of development has already been given by Kassir under the assumption that the shear modulus of elasticity G changes arbitrarily with the variable z of the axial coordinate according to the relation G (z)=G_vZ^m. However, no analytical procedure for the thermoelastic field has been established up to date. In this study, we introduce the thermoelastic displacement potential function, and an analytical method of development of the axisymmetric thermoelastic field is proposed. Assuming that G, thermal conductivity λ and coefficient of linear thermal expansion α vary with the variable z of the dimensionless axial coordinate according to the relations G (z)=G_0z^m, λ (z)=λ_0z^1,α (z)=α_0z^n, the axisymmetric temperature solution in a steady state for a semi-infinite body is obtained, and the associated thermal stress components are evaluated theoretically. Numerical calculations are carried out for several cases taking into account the variation in nonhomogeneous material properties, and the numerical results are shown graphically.
一般社団法人日本機械学会の論文
1997-01-25