3642 円柱異方性不均質中空円板の平面軸対称定常熱弾性問題(S24-1 熱衝撃・熱弾性,S24 数理・数値解析による先端材料評価)

概要

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In the present article, we deal with a plane axisymmetric thermo elastic problem of a cylindrically anisotropic, inhomogeneous hollow circular plate, analytically. We assume that the material properties such as the Young's moduli, the coefficients of linear thermal expansion, and the thermal conductivities are independently varied in a form of power with radial coordinate γ, and that they also have cylindrically anisotropic properties. We formulate the equation of heat conduction in a steady state and the displacement equation of equilibrium for the hollow circular plate under a plane axisymmetric condition. Thereafter we derive analytical solutions of temperature change, displacement and stress components for the hollow circular plate which is subject to uniform heat supply at inner and outer boundary surfaces. We carry out numerical calculation and discuss the effect of interaction between material anisotropy and material inhomogeneity on the mechanical behavior of the hollow circular plate.
社団法人日本機械学会の論文
2006-09-15