A comparison of asymptotic and numerical rolling models for quasi-three- dimensional problems (Q1261691)

This paper compares two quasi-three-dimensional steady-state rolling models. One model is a finite element calculation which uses one layer of elements through the strip half-thickness, and the other is an asymptotic approach including first and second-order terms. The models predict the stress distribution and deformation across the width of the sheet, including spread. Both models use relative slip friction condition at the roll/sheet interface and a hyperbolic sine constitutive relationship between stress and strain rate. It is proved that the stress distributions in the roll bite are in good agreement when the entry and exit forces for two models coincide.