504 横等方性中空球の球対称等温問題におけるヤング率の不均質性の効果(OS-3 内部構造変化,研究発表講演)

概要

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In the present article, we deal with a spherically symmetric isothermal problem of an inhomogeneous transversely isotropic hollow sphere analytically. We assume that Young's moduli of a hollow sphere are changed by the power product form with radial coordinate variable γ, and they also have same properties in θ-φ plane and different properties in the γ direction normal to θ-φ plane. We formulate the Navier's equation for the inhomogeneous transversely isotropic hollow sphere, thereafter we derive analytical solutions of displacement and stress components for the hollow sphere which is subjected to uniform pressure from boundary surfaces. We carry out numerical calculations and discuss the effect of the inhomogeneity and transverse isotropy properties of the Young's moduli upon the isothermal elastic behavior of the hollow sphere.
一般社団法人日本機械学会の論文
2005-03-18