On the Asymmetric Problem of Elasticity Theory for an Infinite Elastic Solid Containing Some Spherical Cavities : 1st Report-An Infinite Solid Containing Two Spherical Cavities

Abstract

This paper presents a three-dimensional solution for the stresses in an infinite elastic solid which contains two spherical cavities of the same size. The stress field at infinity is assumed to be uniaxial tension in the direction perpendicular to the common axis of the cavities. The solution is based upon the Papcovich-Neuber stress function approach and make use of the spherical harmonics. Numerical results are presented in graphs and the interference of the two sources of stress concentration is discussed.