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Materials with ultrafine grain structure and unique physical and mechanical properties can be obtained by severe plastic deformation methods including the asymmetric rolling processes. Asymmetric rolling is a very effective way to generate ultrafine grain structures in steels, magnesium alloys and other materials. Since the asymmetric rolling is a continuous process, it has great potential for industrial production of ultrafine grain structure sheets and bars. Basic principles of asymmetric rolling are described in detail in scientific literature. Focus in the well-known works is on the possibility to control the structure of metal sheets. This study reflects the investigation findings regarding the impact of speed asymmetry on shear strain during rolling of sheet and bars in the three-roll passes. Numerical comparison of shear strain ratios in case of symmetric and asymmetric rolling is made in this study. Adequacy of the developed models is demonstrated. The results of this research work will be useful for the analysis of ultrafine grain structure evolution of metals in various asymmetric cold rolling processes.