Abstract
This paper presents the general solutions for many circular elastic inclusions that are perfectly bonded to an elastic medium(matrix) of infinite extent under the in-plane deformation. These many elastic inclusions have different radii, central points and possess different elastic properties. The matrix is subjected to arbitrary loading, for example, by uniform stresses at infinity. This solution is obtained through iterations of the Möbius transformation as a series with an explicit general term involving the complex potential functions of the corresponding homogeneous problem. This procedure is referred to as heterogenization. Using these solutions, several numerical examples are presented by the graphically.
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More From: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
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