偏平回転だ円体状空かあるいは円形き裂面に温度分布が与えられた円柱の定常熱応力

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rights: 社団法人日本機械学会rights: 本文データは学協会の許諾に基づきCiNiiから複製したものであるrelation: IsVersionOf: http://ci.nii.ac.jp/naid/110006279534/This paper contains an exact solution for the state of stress in an elastic circular cylinder with an oblate spheroidal cavity or an internal penny-shaped crack, the surface of which is subjected to a prescribed temperature distribution. The solution is deduced with the aid of thermoelastic displacement potentials and Bengali's displacement potentials. Two sets of harmonic functions and two sets of biharmonic functions are given by simple expressions referring to cylindrical and oblate spheroidal coordinates. The boundary conditions on the surfaces of the cylinder and the cavity are satisfied by using the relations between the cylindrical and oblate spheroidal harmonics and biharmonics. The solution for an internal penny-shaped crack is also given by regarding as a limited case of an oblate spheroidal cavity. Numerical results for stress distributions, stress concentration factors and stress intensity factors are shown graphically.
一般社団法人日本機械学会の論文
2007-05-25