What question did this study set out to answer?

The aim is to analyze the elastic deformation and stress distribution during strip rolling in a four-high mill.

April 1, 2026Open Access

Study on stress distribution in strip rolling : rolling pressure and stresses at the upper stream side of roll gap

Key Points

The aim is to analyze the elastic deformation and stress distribution during strip rolling in a four-high mill.
Divided roll deformation analysis into three components: backup roll deflection, work roll deflection, and work roll surface flattening.
Calculated rolling force distribution based on the contour of deformed rolls from experiments.
Measured rolling pressure distribution using a multi-channelled pressure-sensor and developed measuring system.
Compared measured rolling pressures with those calculated using deformation analysis and evaluated stress distributions using FEM.
Identified the influence of rolling conditions on rolling force and thickness distribution across strip width.
Directly measured and compared rolling pressure distributions against analytical results.
Estimated stress distributions at the entry of the roll gap based on experimental and FEM results.

Abstract

An analysis for elastic deformation of rolls during rolling in four high mill is presented, in which the deformation of rolls is divided into three components ; deflection of backup roll, deflection of work roll on an elastic foundation and flattening of work roll surface. And using this analysis the rolling force distribution is calculated from the contour of deformed roll obtained by experiment. Influence of rolling conditions on the distributions of rolling force and thickness across the strip width is investigated. On the other hand, the distribution of rolling pressure is directly measured by using multi-channelled pressure-sensor and the newly developed measuring system. The optimum condition for the pin method, which is adopted in measuring the pressure, is also discussed. Influence of rolling conditions on the distribution of rolling pressure is investigated and the results are compared with those calculated by using the analysis mentioned above. As another experimental approach, the distribution of stresses at the upper stream side of roll gap is measured under various rolling conditions and after comparison of the results with the calculated results by FEM, the distribution of stresses at the entry of roll gap is estimated.

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