Abstract: To estimate the effective elastic properties of damaged solids accounting for the interaction of micro-defects, quite a few schemes have been proposed, such as the self-consistent scheme (SCS) , differential scheme , generalised self-consistent scheme (GSCS) and Mori-Tanaka scheme (see also the review articles ) Although these schemes are quite covenient in application, they all are based on non-interacting scheme and some assumptions in accounting the effect of interaction of m...