Asymptotic Approach to the Hill Model of Spread in Rolling

A simplified procedure for the solution of the spread model proposed by Hill (1963) is presented for situations where the strip width is greater than the roll-gap length. The method utilizes a perturbation expansion for the width function and results in a simple analytical solution, overcoming the d...

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Bibliographic Details
Published in:Journal of engineering materials and technology 1995-01, Vol.117 (1), p.75-81
Main Authors: Domanti, S, McElwain, D. L. S, Middleton, R. H
Format: Article
Language:English
Subjects:
Applied sciences
ASYMPTOTIC SOLUTIONS
ELEMENTS
Exact sciences and technology
FABRICATION
Forming
MATERIALS SCIENCE
MATERIALS WORKING 360101 > Metals & Alloys-- Preparation & Fabrication
MATHEMATICAL MODELS
METALS
Metals. Metallurgy
Production techniques
ROLLING
SHEETS
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Summary:A simplified procedure for the solution of the spread model proposed by Hill (1963) is presented for situations where the strip width is greater than the roll-gap length. The method utilizes a perturbation expansion for the width function and results in a simple analytical solution, overcoming the difficulties involved in solving the original complex, nonlinear, fourth-order differential equation. The solution provides insight into the relationship between the spread predicted and the roll gap parameters, and allows the assumptions made to be evaluated as leading order estimates to the stresses are produced.
ISSN:0094-4289
1528-8889
DOI:10.1115/1.2804374