Abstract
In the present paper, we derive a solution for many circular inclusions that are perfectly bonded to an elastic medium (matrix) of infinite extent under quasi-three-dimensional problems. These many inclusions have different radii and different central points. The matrix is subjected to arbitrary loading, for example, by uniform stresses. The solution is obtained through iterations of the Mebius transformation as a series with an explicit general term involving the complex potential of the corresponding homogeneous problem. This procedure is referred to as heterogenization. Using these solutions, several numerical examples are presented graphically.
