A three-dimensional thermo-mechanical finite element model of complex strip rolling considering sticking and slipping friction

Abstract Friction plays an important role in the theory and practice of rolling. Previous research has shown that the friction coefficient varies in the roll bite when hot rolling steel can include sticking and slipping regimes. In order to improve the accuracy of modelling, in this paper, the authors present a three-dimensional thermo-mechanical simulation of the complex strip rolling, considering friction variation model with sticking friction and slipping friction by a three-dimensional rigid–visco-plastic finite element method. The theoretical analysis is based on the utilisation of the finite element flow formulation to characterise the material flow, to predict the metal flow and temperature, and to estimate roll separating force and rib height. The length of the sticking zone is determined dynamically and the friction variation was considered for both the top and bottom surface of the strip. The numerical predictions were verified by the experiments performed in a hot strip mill. Results of the simulation show that when the friction variation is considered and the thermal and mechanical combination is conducted, the computed values are in good agreement with the experimental values.

[1]  Xiong Shangwu,et al.  3-D rigid-plastic FEM analysis of the rolling of a strip with local residual deformation , 1998 .

[2]  S W Wen,et al.  Roll pass evaluation for three-dimensional section rolling using a simplified finite element method , 1997 .

[3]  Igorʹ Viktorovich Kragelʹskiĭ,et al.  Friction and wear: Calculation methods , 1982 .

[4]  Zheng Y Jiang,et al.  Analysis of ribbed-strip rolling by rigid-viscoplastic FEM , 2000 .

[5]  P. Hartley,et al.  Experimental and theoretical studies of workpiece deformation, stress, and strain during flat rolling , 1989 .

[6]  C. E. N. Sturgess,et al.  Finite-element modelling of deformation and spread in slab rolling , 1987 .

[7]  A. K. Tieu,et al.  Friction measurement in cold rolling , 2001 .

[8]  Zhengyi Jiang,et al.  A method to analyse the rolling of strip with ribs by 3D rigid visco-plastic finite element method , 2001 .

[9]  A. K. Tieu,et al.  Mixed-Film Lubrication Theory and Tension Effects on Metal Rolling Processes , 1999 .

[10]  John G. Lenard,et al.  A study of friction during the lubricated cold rolling of an aluminum alloy , 1997 .

[11]  J. Huetink,et al.  A combined eulerian-lagrangian three-dimensional finite-element analysis of edge-rolling , 1985 .

[12]  J. G. Lenard,et al.  Friction and Forward Slip in Cold Strip Rolling , 1992 .

[13]  Wolfgang Rasp,et al.  Analysis of an improved width-flow concept for the production of ribbed strips by cold rolling , 1999 .

[14]  Shiro Kobayashi,et al.  Metal forming and the finite-element method , 1989 .

[15]  Xianghua Liu,et al.  Simulation of vertical-horizontal rolling process during width reduction by full three-dimensional rigid-plastic finite element method , 1997 .

[16]  Kozo Osakada,et al.  Finite element modelling of forming process of solid metal with liquid phase , 1991 .

[17]  J. G. Lenard,et al.  Study of Friction in Cold Strip Rolling , 1984 .

[18]  Jean-Loup Chenot,et al.  Finite element computation of spread in hot flat and shape rolling with a steady state approach , 1991 .

[19]  William R. D. Wilson,et al.  Lubrication of Strip Rolling in the Low-Speed Mixed Regime , 1996 .

[20]  Peter Frederic Thomson,et al.  Three-dimensional simulation of the edge rolling process by the explicit finite-element method , 1993 .

[21]  Kozo Osakada,et al.  Finite element method for rigid-plastic analysis of metal forming—Formulation for finite deformation , 1982 .