3-dimensional Analysis of Flat Rolling by Rigid-plastic FEM Considering Sticking and Slipping Frictional Boundary.

Abstract

A rigid-plastic finite element analysis was performed for flat rolling. In this analysis, both slipping based on the Coulomb's friction law and sticking were taken into account for the boundary condition between the roll and the material undergoing deformation. In the two-dimensional flat rolling analysis, the rigid-plastic finite element method provided reasonable results of the frictional boundary condition, which corresponded well with those obtained by the elastic-plastic finite element method. This analysis method was extended to the three-dimensional flat rolling analysis. The sticking area around the neutral line, and the slipping area around that sticking area where the relative slipping velocity vector diverges from the sticking area were calculated on the boundary surface. When the width/thickness ratio of the slab was small, the sticking area decreased in width direction and the relative slipping velocity in the width direction increased. These calculated results agreed well with commonly held knowledge.