Asymptotic Approach to the Hill Model of Spread in Rolling-Reference-Cited by-同舟云学术

Asymptotic Approach to the Hill Model of Spread in Rolling

Published:1995-01-01 Issue:1 Volume:117 Page:75-81
ISSN:0094-4289
Container-title:Journal of Engineering Materials and Technology
language:en
Short-container-title:

Author:

Domanti S.¹,McElwain D. L. S.²,Middleton R. H.³

Affiliation:

1. Department of Electrical and Computer Engineering, University of Newcastle, Callagtian 2308, Australia

2. Department of Mathematics, University of Newcastle, Callagtian 2308, Australia

3. Department of Electrical and Computer Engineering, University of Newcastle, Callaghan 2308, Australia

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Link

http://asmedigitalcollection.asme.org/materialstechnology/article-pdf/117/1/75/5545494/75_1.pdf

Reference15 articles.

1. Helmi A. , and AlexanderJ. M., 1968, “Geometric Factors Affecting Spread in Hot Flat Rolling of Steel,” J. Iron Steel Inst., Vol. 206, pp. 1110–1117.

2. Hill R. , 1963, “A General Method of Analysis for Metal-Working Processes,” J. Mech. Phys. Solids, Vol. 11, pp. 305–326.

3. Johnson R. E. , 1991, “Shape Forming and Lateral Spread in Sheet Rolling,” Int. J. Mech. Sci., Vol. 33, pp. 449–469.

4. Karabin M. E. , and SmelserR. E., 1990, “A Quasi-Three-Dimensional Analysis of the Deformation Processing of Sheets with Applications,” Int. J. Mech. Sci., Vol. 32, pp. 375–389.

5. Karabin M. E. , and JohnsonR. E., 1993, “A Comparison of Asymptotic and Numerical Rolling Models for Quasi-Three-Dimensional Problems,” Int. J. Mech. Sci., Vol. 35, pp. 425–439.

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