Effect of Arrangement of Inclusions on the Effective Elastic Modulus of a Composite which Has Two Groups of Periodically Arranged Inclusions

摘要

In this paper, the effect of arrangement of inclusions on the effective elastic modulus of composite materials is considered through examining a model, which has two groups of periodically arranged inclusions in a matrix. Here, two groups of inclusions A and B are considered, both having equally shaped equally arranged inclusions, which have the same elastic constant but different from the one of the matrix. Then, the position of group A is fixed and the effect of location of group B on the effective elastic modulus is considered by the application of FEM. The FEM analysis indicates that the effective elastic modulus is almost independent of the location of group B when the projected areas of inclusions of groups A and B are not overlapped. In other words, the volume fraction of inclusion and projected area fraction of inclusions are two major parameters controlling the effective elastic modulus of composites.