A Fast Three-Dimensional Model for Strip Rolling

Article Preview

Abstract:

Rolling Models have come a long way from the first empirical relations about forward slip and bite conditions to their current state, which allows local quantities to be calculated in two and three dimensions. In this paper, state-of-the-art of analytical modelling of the rolling process is shown with a fully three-dimensional rolling model for hot and cold strip rolling with stress distributions in the longitudinal, vertical and lateral directions. For this purpose, von Karman’s strip approach is extended to account for the stress gradient in lateral direction, as was already shown in different papers. The stress gradient in the vertical (through-thickness) direction is introduced by a modern implementation of Orowan’s inhomogeneous deformation theory. The local stress distributions are compared to results from Finite-Element Calculations obtained with modern FEM codes. It will be shown, under which circumstances expensive FEM calculations can be replaced by simpler models like the one proposed here, which are more time and cost-effective without a significant loss in result precision. The rolling model is extended with a Finite Element Beam Model for work and backup roll deformation, as well as local work roll flattening and thermal crown for hot rolling. The Effects of those features on stress distribution and exit strip profile are shown for hot and cold rolling.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

566-578

Citation:

Online since:

October 2016

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2016 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Th v. Karman, Beitrag zur Theorie des Walzvorgangs, Z. Angew. Math. Mech. 5 (1925), 139-141.

Google Scholar

[2] J. H. Hitchcock, Roll neck bearings, Report of ASME Special Research Committee on heavy-duty anti-friction Bearings (1935), 33–41.

DOI: 10.1115/1.4057639

Google Scholar

[3] J. M. Alexander, On the Theory of Rolling, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 326 (1972), 535–563.

Google Scholar

[4] H, Lippmann, O. Mahrenholtz, Plastomechanik der Umformung metallischer Werkstoffe, Springer-Verlag, Berlin, (1967).

DOI: 10.1007/978-3-642-87884-8

Google Scholar

[5] R. B. Sims, The calculation of roll force and torque in hot rolling mills, Proceedings of the Institution of Mechanical Engineers 168 (1954), 191–200.

DOI: 10.1243/pime_proc_1954_168_023_02

Google Scholar

[6] E. Orowan, The calculation of roll pressure in hot and cold flat rolling, Proceedings of the Institution of Mechanical Engineers 150 (1943), 140–167.

DOI: 10.1243/pime_proc_1943_150_025_02

Google Scholar

[7] Ch. Overhagen, P. Mauer, P.J. Mauk, Process Model for Cold Rolling of Thin Strip and Foil with Ceramic Work Rolls, Presentation at METEC and 2nd ESTAD, Düsseldorf, (2015).

Google Scholar

[8] Statistical Yearbook of the Steel Industry, 2015/16, Stahleisen-Verlag, (2015).

Google Scholar

[9] Ch. Overhagen, Analytical and Numerical Models for the Stress and Deformation State during Hot and Cold Flat Rolling, M. Sc. Thes. Technische Universität Clausthal (2011).

Google Scholar

[10] E. Siebel, Die Formgebung im bildsamen Zustand. Stahleisen-Verlag, Düsseldorf, (1932).

Google Scholar

[11] H. Ford, F. Ellis, D.R. Bland, Cold Rolling with Strip Tension Part 1, Journal of the Iron and Steel Institute 168 (1951), 57-72.

Google Scholar

[12] SMS Siemag: Hot Strip Mills – Mechanical Equipment. Product Information Sheet.

Google Scholar

[13] K.L. Johnson, Contact Mechanics, Cambridge Press (2003).

Google Scholar