A cold-rolling model taking into account mixed lubrication regime has been developed and included into a simulation software named MetaLub. The main objective is to enhance the performances of rolling mills from a lubrication point of view. It means that lubricant rheology but also roll diameters and roughness, etc. can be optimized to improve stability and efficiency of the rolling tool.
The main features of MetaLub are briefly presented in this article. Then, two studies of the influence of rolling speed and negative forward slip are discussed. The obtained numerical results are presented and compared to some experimental data from literature and from ArcelorMittal facilities in order to validate the model and to show its capacity to understand and help to improve industrial rolling conditions.
MontmitonnetP.Hot and cold strip rolling processes. Comput. Methods Appl. Mech. Eng., 2006, 195, 6604–6625.
2.
von KarmanT.Beitrag zur Theorie des Walzvorganges. ZAMM., 1925, 5, 139–141.
3.
BlandD. R.FordH.An approximate treatment of the elastic compression of the strip in cold rolling. J. Iron Steel Inst., 1952, 171, 245–249.
4.
AlexanderJ. M.On the theory of rolling. Proc. R. Soc. A., 1972, 326, 535–563.
5.
CosseP.EconopoulosM.Mathematical study of cold rolling. C.N.R.M., 1968, 17, 15–32.
6.
TsaoY. H.SargentL. B.A mixed lubrication model for cold rolling of metals. ASLE Trans., 1977, 20, 55–63.
7.
GreenwoodJ. A.The area of contact between rough surfaces and flats. J. Lubr. Technol., 1967, 89, 81–81.
8.
ChangD. F.MarsaultN.WilsonW. R. D.Lubrication of strip rolling in the low-speed mixed regime. Tribol. Trans., 1996, 39, 407–415.
9.
SheuS.WilsonW. R. D.Mixed lubrication of strip rolling. Tribol. Trans., 1994, 37, 483–493.
10.
PatirN.ChengH. S.An average flow model for determining effects of three-dimensional roughness on partial hydrodynamic lubrication. J. Lubr. Technol., 1978, 100, 12–17.
11.
QiuZ. L.YuenW. Y. D.TieuA. K.Mixed-film lubrication theory and tensions effects on metal rolling processes. ASME J. Tribol., 1998, 121, 908–915.
12.
LinH.-S.MarsaultN.WilsonW. R. D.A mixed lubrication model for cold strip rolling - Part 1: Theoretical. ASME J. Tribol., 1998, 41(3), 317–326.
13.
MarsaultN.Modélisation du régime de lubrification mixte en laminage à froid (in French)., 1998, PhD Dissertation, Ecole Nationale Supérieure des Mines de Paris.
14.
WilsonW. R. D.MarsaultN.Partial hydrodynamic lubrication with large fractional contact areas. ASME J. Tribol., 1998, 120, 16–20.
15.
SutcliffeM. P. F.MontmitonnetP.Numerical modelling of lubricated foil rolling. J. Metallurgy – Mater. Sci. Eng., 2001, 98, 435–442.
16.
StephanyA.Contribution à l’étude numérique de la lubrification en régime mixte en laminage à froid (in French)., 2008, PhD Dissertation, Université de Liège.
17.
ShiraishiT.YamamotoH.HashimotoJ.NiitomeT.Characteristics of cold rolling in consideration of negative forward slip ratio. Jpn. Soc. Technol. Plast., 1995, 36(412), 457–462.
18.
StephanyA.PonthotJ.-P.ColletteC.SchellingsJ.Efficient algorithmic approach for mixed-lubrication in cold rolling. J. Mater. Process. Technol., 2004, 153–154, 307–313.
19.
StephanyA.PonthotJ.-P.LegrandN.Numerical simulation in cold rolling using adiabatic strip model: application to large roll deformation. In Proceedings of AUSTRIB, 3–6 December 2006, Brisbane, 2006.
20.
StephanyA.PonthotJ.-P.ColletteC.SchellingsJ.New algorithm concept for a model of mixed lubrication in cold rolling. In Proceedings of METEC 2003: European Rolling Conference, Düsseldorf, Germany, 2003411–416.
21.
StephanyA.PonthotJ.-P.Improvements of an iterative and staggered approach for a model of mixed lubrication in cold rolling. In Proceedings of the 8th International Conference on Numerical methods in industrial forming processes, 13–17 June 2004 (Columbus, Ohio), 406–411.
22.
Montmitonnet, P., Stephany, A., Cassarini, S., Ponthot, J.-P., Laugier, M., and Legrand, N. Modelling of metal forming lubrication by O/W emulsions. In Proceedings of the International Conference on Tribology in manufacturing processes, Yokohama, Japan, 24–26 September 2007, pp. 85-90.
23.
BomanR.PonthotJ.-P.Numerical simulation of lubricated contact in rolling processes. J. Mater. Process. Technol., 2002, 125–126, 405–411.
24.
BomanR.PonthotJ.-P.Finite element simulation of lubricated contact in rolling using Arbitrary Lagrangian Eulerian formulation. Comput. Methods Appl. Mech. Eng., 2004, 193(39–41), 4323–4353.
25.
BarusC.Isothermal, isopiestics and isometrics relative to viscosity. Am. J. Sci., 1893, 45, 87–96.
26.
Roelands, C. Correlational aspects of the viscosity-temperature-pressure relationship of lubricating oils. PhD Dissertation, Technische Hogeschool Delft, 1966.
27.
ChristensenH.Stochastic models for hydrodynamic lubrication of rough surfaces. Proc. Instn Mech. Engrs, 1970, 184, 1013–1022.
28.
WilsonW. R. D.SheuS.Real area of contact and boundary friction in metal forming. Int. J. Mech. Sci., 1988, 30, 475–489.
29.
SutcliffeM.Surface asperity deformation in metal forming processes. Int. J. Mech. Sci., 1988, 30, 847–868.
30.
Hitchcock, J. H. Elastic deformation of roll during cold rolling. Report of Special Research Committee on Roll Neck Bearings, 1935, pp. 33–41 (ASME Research Publication, New York).
31.
JortnerD.OsterleD.ZorowskiC.An analysis of cold rolling. Int. J. Mech. Sci., 1960, 2, 179–194.
32.
MontmitonnetP.DeneuvilleP.GratacosP.HauretG.LaugierM.Compréhension et modélisation du régime mixte: sythèse des avancées et perspectives d’applications industrielles. La Revue de Metallurgie-CIT, 2001, 98, 459–463.
