A mathematical model using dual-stream functions and the upper bound theore
m has been proposed in this work to examine the plastic deformation behavio
r of the sheet at the roll gap during shape rolling of a V-sectioned sheet.
This analytical model is also employed to systematically examine the rolli
ng force and the geometry of the rolled product, which are both affected by
various rolling conditions such as the sizes of the raw sheet, the inclina
tion of the roll profile, the thickness reduction, etc. Furthermore, experi
ments on the cold shape rolling of aluminum sheet have also been conducted.
The rolling forces and the shape of the foiled product were measured to co
mpare with the analytical values. Through the comparisons made between them
, the validity of this newly proposed approach was verified. (C) 1999 Elsev
ier Science S.A. All rights reserved.