Application of an elastic roller with slightly convex shape to the improvement of the flatness of a strip for cold rolling

Under the assumption of an elastic roller, and ignoring the heat transfer problem, in this study we determined explored the distribution of elastic deformation of the roller when the roller contacted with the strip in the rolling area during the rolling process. In addition, in this study, based on the large deformation-large strain theory, the updated Lgrangian formulation (ULF) and the incremental principle were used to develop 3D elastic plastic analytical model of aluminum strip rolling. The flow stress was considered to be a function of strain and strain rate. We also studied the effect of a slightly convex shape of the axial cross section surface of the roller on the flatness of the strip surface. For the main purpose of this study, we used a proposed iteration process to calculate on the elastic contact deformation and the contact face of the roller, when the roller contacted with the strip. An error value was also designated to compare the displacement increments of the strip using two iterations to detemine whether the iteration was terminated. In this study, the extent of elastic deformation of rollers with flat surfaces in the rolling region was used to compensate for the roller radius to produce a slightly convex shape on the roller surface. This reduces the effect of roller deformation on strip shapes. Changes in strip shape were also analyzed.