SELF-CONSISTENT ANALYSIS OF WAVES IN A MATRIX-INCLUSION COMPOSITE .2. RANDOMLY ORIENTED SPHEROIDAL INCLUSIONS

THIS PAPER APPLIES the formulation presented in Part I to the case of a composite containing a single population of inclusions, distributed at random orientations. Formally, each orientation is regarded as having its own label, r, but the elastic moduli and density of every inclusion are the same. Since all orientations are allowed, the self-consistent equations proposed in Part I are applied in the limit as the number n of inclusion types tends to infinity. The implementation of the scheme is described and example problems are solved. As in Part I, the cases for which results are presented include cavities, either empty or fluid-filled.