Analysis and mathematical modeling for microgeometry reproduction of a textured roll surface on a cold-rolled galvanized strip during temper rolling

The possibility of representing the process of temper rolling for a galvanized cold-rolled strip as a simultaneous deformation of a binary zinc-steel system is demonstrated. It is confirmed that the simultaneous plastic deformation of the components of the galvanized strip during its temper rolling occurs when the critical thickness of zinc is achieved. The process of reproducing the microgeometry of the textured surface of the roll on a galvanized cold-rolled strip during its temper rolling is considered the process of filling the micro-cavities of the roll with the material in contact with it. A mathematical dependence is obtained for calculating the reproducibility ratio of the parameters of the textured surface on a cold roll on a galvanized cold-rolled strip, depending on the thickness and mechanical properties of the galvanized coating and steel strip, equipment characteristics, modes, and conditions of its temper rolling, as well as on the roughness parameters S, Ra, and P_c of the roll surface. A comparative assessment of the influence of the technological parameters of temper rolling on the reproduction ratio of the microgeometry of the roll surface on a galvanized cold-rolled strip is provided.