Thermal Stresses in an Elastic Circular Cylinder Containing an Oblate Spheroidal Cavity or a Penny-shaped Crack under Uniform Heat Flow

概要

論文の詳細を見る
This paper presents an exact solution for the state of stress in an elastic circular cylinder with an oblate spheroidal cavity or an internal penny-shaped crack, which is subjected to a steady uniform heat flow. The solution is deduced with the aid of thermoelastic displacement potential and Dougall's harmonic stress function. Two sets of harmonic stress functions and two sets of biharmonic functions are given by simple expressions referred to the cylindrical and oblate spheroidal coordinates. The boundary conditions on the surfaces of the cylinder and the cavity area satisfied by using the relations between the cylindrical and oblate spheroidal harmonics and biharmonics. And the solution for the internal penny-shaped crack is given for a limiting case of the 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