On the Problem of the Theory of Elasticity for a Region Containing more than Two Spherical Cavities : 2nd Report, Experiment by Photoelasticity

Abstract

As stated before when the cavities approach to each other, the stress concentration factor (s.c.f.) of elastic body with two spherical cavities cannot be obtained by theoretical calculations. It is obtained, however, by an experiment of three dimensional photoelasticity. Results are as follows : (1) The s.c.f. K of elastic body with two spherical cavities is expressed by an equation : [numerical formula]where K0 : s.c.f. with a spherica1 cavity. α : s.c.f. of plate with two circular holes when d/p is same as K. α0 : s.c.f. of plate with a circular hole. (2) The s.c.f. K(d/D, d/p) of circular cylinder with two spherical cavities is expressed by an equation : [numerical formula] where d : diameter of spherical cavity. p : pitch. D : diameter of cylinder. (3) When the two spherical cavities approach to each other, the s.c.f. of spherical cavities may be expressed by that of equivalent spheroid.