Axisymmetric Torsional Stresses in a Solid Containing Two Partially Bonded Rigid Spherical Inclusions

Abstract

An analysis of the three-dimensional mixed boundary-value problem of an infinite elastic body containing two identical partially bonded rigid spherical inclusions and subjected to an axisymmetric torsional stress field is presented. The order of the singularity in the stresses at the points of separation between the matrix and the inclusions is determined and the form of this singular stress field is utilized in determining a solution to the dual Legendre series generated from the boundary conditions. Numerical results are presented.