ABSTRACT
In most studies of composite behavior, the effective mass density of a composite is assumed to be given by the volume fraction weighted average of the densities of the constituents. For instance, for a composite with n constituents, the effective mass density is defined as
ρeff = 〈ρ〉= 1 V
fi ρi ; fi := Vi V , ρi :=
where V is the total volume occupied by the composite, Vi are the volumes occupied by the constituent phases, and mi are the masses of the constituents. The unstated assumption in this definition is the effective density is unaffected by the relative motion of the components of the composite.
