The two-dimensional heat transfer between the strip and rolls in strip rolling is modeled by one-dimensional heat conduction equations adopting Lagrangian coordinate systems on the contact surfaces. Finite difference formulations are used in the rolling direction and analytical solutions are applied normal to this direction, making computation more efficient. Heat transfer in the sticking region is considered. The influence of real area of contact on heat transfer is also taken into account, resulting in a method capable of modeling the strip rolling process operated in any of several different lubrication regimes. This method provides good temperature predictions.

1.
Cerni
S.
,
Weinstein
A. S.
, and
Zorowski
C. F.
,
1963
, “
Temperatures and Thermal Stresses in the Rolling of Metal Strip
,”
Iron and Steel Engineer
, Vol.
40
, pp.
165
173
.
2.
Chang, D. F., 1994, “A Comprehensive Analysis of the Strip Rolling Process,” Ph.D. dissertation, Mechanical Engineering, Northwestern University.
3.
Christensen
H.
,
1970
, “
Stochastic Models for Hydrodynamic Lubrication of Rough Surfaces
,”
Int. J. of Mech. Eng.
, Vol.
104
, pp.
1022
1033
.
4.
Hatta
N.
,
Kokado
J. I.
,
Kikuchi
S.
, and
Takuda
H.
,
1985
, “
Modelling on Flow Stress of Plain Carbon Steel at Elevated Temperatures
,”
Steel Research
, Vol.
56
, pp.
575
582
.
5.
Hsu
C. T.
, and
Evans
R. W.
,
1990
, “
Finite Element Analysis on the Hot Rolling of Steel
,”
Advanced Technology of Plasticity
, Vol.
2
, pp.
587
593
.
6.
Iguchi
T.
, and
Yarita
I.
,
1991
, “
3-dimensional Analysis of Flat Rolling by Rigid-plastic FEM Considering Sticking and Slipping Friction Boundary
,”
Trans. Iron Steel Inst. Japan
, Vol.
31
, pp.
559
565
.
7.
Jeswiet
J.
, and
Rice
W. B.
,
1975
, “
Measurement of Strip Temperature in Roll Gap During Cold Rolling
,”
Annals of the CIRP
, Vol.
24
, pp.
153
156
.
8.
Johnson
W.
, and
Kudo
H.
,
1960
, “
The Use of Upper-Bound Solutions for the Determination of Temperature Distributions in Fast Hot Rolling and Axisymmetric Extrusion Processes
,”
Int. J. Mech. Sci.
, Vol.
1
, pp.
175
191
.
9.
Karagiozis
A. N.
, and
Lenard
J. G.
,
1988
, “
Temperature Distribution in a Slab During Hot Rolling
,”
ASME Journal of Engineering Materials and Technology
, Vol.
110
, pp.
17
21
.
10.
Lahoti
G. D.
,
Shah
S. N.
, and
Altan
T.
,
1978
, “
Computer-Aided Analysis of the Deformations and Temperatures in Strip Rolling
,”
ASME JOURNAL OF ENGINEERING FOR INDUSTRY
, Vol.
100
, pp.
159
166
.
11.
Lenard
J. G.
, and
Pietrzyk
M.
,
1990
, “
Thermal-Mechanical Modelling of a Hot Strip Mill
,”
Advanced Technology of Plasticity
, Vol.
2
, pp.
601
606
.
12.
Ozisik, M. N., 1980, Heat Conduction, Wiley Press, New York.
13.
Patula
E. H.
,
1981
, “
Steady-State Temperature Distribution in a Rotating Roll Subject to Surface Heat Fluxes and Convective Cooling
,”
ASME Journal of Heat Transfer
, Vol.
103
, pp.
36
41
.
14.
Peck
C. F.
,
Bonetti
J. M.
, and
Mavis
F. T.
,
1954
, “
Temperature Stresses in Iron Work Rolls
,”
Iron and Steel Engineer
, Vol.
31
, pp.
45
57
.
15.
Pietrzyk
M.
, and
Lenard
J. G.
,
1991
, “
Deformation Heating During Cold Rolling of Aluminum Strips
,”
ASME Journal of Engineering Materials and Technology
, Vol.
113
, pp.
69
74
.
16.
Sheu
S.
, and
Wilson
W. R. D.
,
1994
, “
Mixed Lubrication of Strip Rolling
,”
Tribology Transactions
, Vol.
37
, No.
3
, pp.
483
493
.
17.
Shida, S., 1974, “Effect of Carbon Content, Temperature, and Strain Rate on Compressive Flow-Stress of Carbon Steel,” Hitachi Research Laboratory.
18.
Tseng
A. A.
,
1984
, “
A Numerical Heat Transfer Analysis of Strip Rolling
,”
ASME Journal of Heat Transfer
, Vol.
106
, pp.
512
517
.
19.
Tseng
A. A.
,
Tong
S. X.
,
Maslen
S. H.
, and
Mills
J. J.
,
1990
, “
Thermal Behavior of Aluminum Rolling
,”
ASME Journal of Heat Transfer
, Vol.
112
, pp
301
308
.
20.
Wilson
W. R. D.
,
1979
, “
Friction and Lubrication in Bulk Metal Forming Processes
,”
Journal of Applied Metalworking
, Vol.
1
, pp.
1
19
.
21.
Wilson
W. R. D.
,
1991
, “
Friction Models for Metal Forming in the Boundary Lubrication Regime
,”
ASME Journal of Engineering Materials and Technology
, Vol.
113
, pp.
60
68
.
22.
Wilson
W. R. D.
,
Chang
C. T.
, and
Sa
C. Y.
,
1989
, “
Interface Temperatures in Cold Rolling
,”
Journal of Materials Shaping Technology
, Vol.
6
, pp.
229
240
.
23.
Wilson
W. R. D.
, and
Sheu
S.
,
1988
, “
Real Area of Contact and Boundary Friction in Metal Forming
,”
Int. J. Mech. Sci.
, Vol.
30
, No.
7
, pp.
475
489
.
24.
Wusatowski, Z., 1969, Fundamentals of Rolling, Pergamon Press, Oxford.
25.
Yamada
K.
,
Ogawa
S.
, and
Hamauzu
S.
,
1991
, “
Two-Dimensional Thermo-Mechanical Analysis of Flat Rolling Using Rigid-Plastic Finite Element Method
,”
Trans. Iron Steel Inst. Japan
, Vol.
31
, pp.
566
570
.
26.
Yarita
I.
,
Mallett
R. L.
, and
Lee
E. H.
,
1985
, “
Stress and Deformation Analysis of Plane-Strain Rolling Process
,”
Steel Research
, Vol.
56
, pp.
255
259
.
This content is only available via PDF.
You do not currently have access to this content.