A Newly Developed Upper-Bound Approach for Calculating the Width Flow in Hot Rolling

This paper presents an investigation of the 3D metal-forming process during hot flat rolling by an upper-bound approach. The general aspects of this limit analysis refer to the volume deformation taking into account a polynomial propagation of the free side surfaces. In this approach the deformation region is limited by the roll-gap entrance and exit with parallel planes. It is characterized by a non-linear velocity field. A mathematical model of an upper-bound calculation for the symmetrical flat rolling is developed in order to examine the influence of the most relevant functions, namely the velocity field together with the boundary conditions. A comparison of reasonable onsets is proposed. Therefore, the study can offer useful knowledge for better prediction of lateral flow.