ABSTRACT
This chapter presents a model that is capable of simulating the complex stress-strain-temperature behavior of filled rubbers. The structure of the model is such that it reflects the known microscopic properties of the polymeric matrix as well as the interacting with filler particles. As the basic element of the model, the authors envisage a small part of the rubber body which they call a "mesoscopic object" or a "volume cell". That small volume element is between a typical microscopic object, chain molecule, and the macroscopic body, namely the rubber body as a whole. In particular, the basic element of the model is capable of assuming different configurations that duplicate small volume elements of the rubber body being in various constraint equilibriums. The phase transformations occurring between these constraint equilibriums in filled rubbers are mathematically described by evolution equations for the phase fractions, and the temperature of the model is governed by the energy equation.
