ABSTRACT

This chapter discusses several kinds of micromechanical models. Results from the various models are presented, and comparisons among the models are made. The primary interest with the models is the prediction of composite material properties. However, to provide insight into failure, the stresses in the fiber and matrix have also been discussed. The approach will be to introduce some of the more complex models first. In considering fibers and the surrounding matrix, it has been assumed that the fibers are spaced periodically in square-packed or hexagonal-packed arrays. It has been assumed that the fibers are infinitely long. Three approaches for determining the four elastic moduli have been discussed in detail. These are the strength-of-materials approach, semi-empirical modeling approach, and elasticity approach. The simplicity and limitations of these models will become obvious during the discussion.