Analysis of the Hoop Stress between Ceramic and Metal Considering the Deformation of Surface Roughness : Series C : Vibration, Control Engineering, Engineering for Industry

Abstract

Ceramic is a better material than metal to use in the corrosive environment or at an elevated temperature. But brittleness is a defect in ceramic. Therefore joining techniques between ceramic and metal are needed. We thought that shrinkage fit is one of the most avaiable techniques, compared with welding, diffusion bonding and brazing. In the previous work, we made it clear experimentally and theoretically that the existence of surface roughness reduced the strength of shrinkage fit. And the theoretical values were in good agreement with the experimental ones. But the distributions of hoop stress in the axial direction could not be calculated because the analysis was made on the basis of two-dimensional elastic theory. In this paper, the distributions of hoop stress in the axial direction wre analyzed as a three-dimensional problem. And we investigated how the distributions of hoop stress were changed by the surface roughnesses theoretically. Comparisons between the hoop stresses by the three-dimensional elastic theory and the ones by the two-dimensional elastic theory were also made.