Abstract: This paper gives a review on the studies of the effective elastic moduli of composite materials with inclusions,which include the self-consistent theory,the differential method,Eshelby-Mori-Tanaka's method,and Hashin and Shtrikman's variational method etc.Since the microstructural characteristics of composites such as the shape,geometric size and distribution of inclusions and interaction between inclusions, have not been properly considered by the theories indicated above, the effective elastic moduli of ...