Abstract
A solution is presented for the stresses and displacements in an infinite elastic matrix containing two perfectly bonded rigid circular cylindrical inclusions of different radii, and of infinite length normal to the x-y plane. The matrix is subjected to in-plane stresses Sx and Sy at infinity as well as loading due to radial expan sion of the inclusions. Numerical results are presented and a com parison is made with the associated three dimensional problem of unequal rigid spheres.