Influence of elastic deformation of the strip on the roll force and torque in cold rolling

Abstract EN

A complete numerical solution is developed for the cold rolling of work-hardening strips with applied front and back tensions, taking account of the elastic arcs of contact in a rigorous manner.

The modified form of the von Karman equation proposed by Orowan is employed for the computation of the roll pressure distribution over the plastic arc of contact.

The extents of the elastic zones are determined from the equilibrium equations and stress-strain relations applicable to these regions, and the conditions of continuity of the stress at the elastic-plastic interfaces.

Hitchcock’s formula is used to estimate the radius of the deformed arc of contact.

The results are presented graphically to show the effects of elastic deformation, strain-hardening, coefficient of friction and fractional reduction on the roll pressure distribution, roll force and torque.

No attempt has been made to compared the numerical solution with the elementary theories of rolling, since an assessment of the accuracy of these theories is already available in the literature.