抄録
The problem of a circular inclusion eccentrically situated in a circular region is considered. Previously, the inclusions were supposed to be present in an infinite or semi-infinite medium, which considerably simplified the solution. The old methods, e.g. the point-force method used by J.D. Eshelby, Jaswon and Bhargava and others and energy method used by Bhargava and others cannot be used, simply because the point-force method needs an infinite medium and the energy methods require a considerable guessing of the equilibrium interface which is not possible in the present problem. However the theory of the Hilbert problem can be applied to provide explicit solution to the problem. The problem has also been generalized for the case when the Poisson’s ratios of the two materials are different but shear moduli are the same.
