Dynamic friction model and its application in flat rolling

There have not been any friction models applied to successfully predict distributions of contact stresses in flat rolling yet, in particular for the neutral plane. In this paper, the dynamic friction model (DFM) is expressed as a combination of both definitions of the viscosity and the friction, and is employed to derive underlying mathematical expressions of forces in flat rolling. The model is validated through experimental results obtained by Lenard et al. in the literature for various rolling processes, hot rolling, warm rolling and cold rolling of aluminium. By comparisons of the experimental data with the results predicted by the dynamic friction model, Amontons-Coulomb's friction model and the constant friction model, it is found that the application of the dynamic friction model leads to a better solution to prediction of contact stresses at the neutral plane. It is believed that the dynamic friction model could extensively be used to resolve dynamic plasticity problems of solids.