On the Tension of an Infinite Tin Plate Containing a Pair of Circular Inclusions

Abstract

The present paper gives a theoretical solution for an infinite plate containing a pair of circular holes, which are filled with elastic inclusions of another material, and subjected to uniform tension in the direction of the x- and y-axes. The analysis is developed on the basis of the Airy's stress function in the generalized plane stress and by applying the bipolar coordinates. A method of perturbation is adopted for the determination of unknown coefficients in the solution. The maximum stresses on the common boundaries are calculated and compared with the results available.