Temper rolling is used to improve the surface quality and mechanical properties of steel strip, together with correcting any strip flatness defects. Strip extensions during temper rolling are small and typically between 0.5-3.0%. Due to the small levels of strip deformation, and comparatively high levels of roll deformation, traditional roll gap models based on the circular arc assumption do not give accurate solutions for these rolling conditions. Fleck and Johnson [1] described the roll deformation for a similar rolling regime (foil rolling) by using an elastic foundation or “mattress” model, where the roll gap was divided into regions, depending on whether the strip deformation was elastic, plastic or in a state of contained flow where no changes to the strip thickness occurred, as shown in Figure 1. The region boundaries are not known a priori and must be determined, together with the strip stresses within each region. Based on this theory a model for temper rolling was developed by Yuen et al [2], which was calibrated for a BlueScope Steel temper mill.
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