Using a cubic lattice model, the surface-to-surface space distance bet
ween aggregates, S, was derived in which the volumetric loading of car
bon black, phi, an effective loading factor expressed by CDBPA, Stokes
diameter, and DELTAD50 by DCP method, are incLuded. The theoretical o
ptimum volumetric loading, phi0, is obtained under an assumption that
S0 is a constant at optimum loading. A theoretical expression of tande
lta for carbon black/elastomer composites is proposed in which the con
tributions to tandelta through both junction formation of aggregates a
nd isolated aggregates are expressed using space distance, mobility of
rubber surrounding aggregates and specific surface area of aggregates
. The road test data for tire wear and tandelta were compared to the t
heoretical prediction.