“…With modern computer technologies, numerical process modeling that is capable of predicting fairly accurately the shape of the deformed parts as well as the strain, strain rate, stress and temperature distributions has become feasible and more prevalent. This success of numerical process modeling is largely attributable to the achieved quality of the applied constitutive laws (i.e., coupling of mechanical and thermal models) that describe the basic material flow under the influence of pressure and heat and to the development of efficient and accurate numerical techniques such as the Finite Element Method (FEM; Altan & Vazquez, 1997;Walters et al, 1997). Recent efforts toward improving the accuracy of the numerical predictions are now increasingly focusing on the modeling of the microstructural phenomena that occur during the thermo-mechanical processing of metals as consequences of complex metallurgical events such as recovery, recrystallization, grain growth, phase transformations, precipitation and dissolution reactions, etc.…”