The article defines the parameters of the contact lines of the rolls. Calculation formulas are found for determining such parameters as the ratio of strain rates in roll pairs when the deformation of the semi-finished leather product and the coating of are given by rheological models. It was revealed that the forms of contact lines in roll pairs do not depend on the methods of specifying the deformation of the leather material and the coating of the rolls.

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The work is devoted to the optimization of the parameters of leather pressing machines. Regression models of the residual moisture content of leather and the intensity of the pressing process are developed. which depend on the intensity of the load. the radius and the speed of the rollers. A number of patterns were established that allow increasing the efficiency of leather pressing by rollers. An extremum problem was solved to determine the diameter of the rollers that provide the minimum deflection of their working part. the content of residual moisture required during the pressing process and the minimum power required to conduct the pressing process.