The size of local roll flattening and its distribution along the direc
tion of tile roll axis in flat rolling were calculated by means of 3-d
imensional finite element method. For analysis of elastic flattening d
eformation of the roll stack the well-known classical and analytical s
olutions are usually employed which were derived from elastic half spa
ce theory or two dimensional contact theory. By comparison of results
from both the different methods the validity of the classical formulae
was examined. Some of the formulae are more appropriate for calculati
ng local flattening along the work roll/strip interface, however, they
may result in a great deviation in calculating the flattening along t
he work roll/ back-up roll interface, especially for the back-up roll.
Using the Fe model the influence of roll geometry and strip width und
er a specific rolling force on the flattening was taken into account,
which is difficult to be treated with classical models.