An Asymptotic Analysis of Cold Sheet Rolling

[+] Author and Article Information
Robert P. Smet

S-Cubed, San Diego, CA 92121-1095

Robert E. Johnson

Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801

J. Appl. Mech 56(1), 33-39 (Mar 01, 1989) (7 pages) doi:10.1115/1.3176062 History: Received October 29, 1987; Revised May 26, 1988; Online July 21, 2009


We examine the plane strain cold rolling problem of thin strip implementing a perturbation scheme upon the governing equations. The analysis accounts for transverse variations in the flow and inhomogeneous work hardening. We establish deformation regimes based upon the parameters μ, the friction coefficient, τ, the ratio of the initial yield stress and the maximum roll pressure, and δ, a measure of the small gap reduction. We see that the inclusion of these inhomogeneous effects gives mildly different results for values of μ/τ > 0(1) or τ δ/μ = 0(1). We gauge these effects by examining the roll pressure, shear stress, longitudinal stress, yield stress, front and back tensions and torque to see how they are affected by the inclusion of inhomogeneous flow effects.

Copyright © 1989 by ASME
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