Axisymmetric Tension of an Infinite Body Containing a Series of Spherical Cavities

抄録

The problem of an elastic infinite body containing a series of spherical cavities under tension is treated. It is assumed that several spherical cavities with equal radii are arranged on a line at equal intervals and that the infinite body is subjected to uniform tensile stress in the direction of the line of cavities. The method used in this study is a numerical one in which the general solution of the biharmonic equation in the polar coordinates is recurrently superposed until all boundary conditions at the surface of each cavity are satisfied. Calculated results for the stress concentration factor are indicated in some diagrams for various values of the number of cavities, the ratio between their interval and radius, and Poisson's ratio.