On the Asymmetric Problem of Elasticity Theory for an Infinite Elastic Solid Containing Two Spherical Inclusions

抄録

This paper contains a three-dimensional solution for the stresses in an infinite elastic solid which contains two spherical inclusions 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 inclusions. The solution is based upon Papcovich-Neuber stress function approach referred to the spherical harmonics. Numerical results are given for various ratios of the elastic moduli of the inclusion and the surrounding matrix and four different radii of the inclusion. The stress distributions around the spherical inclusions are shown graphically.