Shallow deep drawing process of a square cup is investigated in this paper. A combined friction model is introduced which integrates the Khonsari's friction model based on asperity contact and Wilson's friction model based on lubricant flow. A film thickness ratio of 0.035 is introduced for 0.15 μm standard deviation of surface summits. Below the ratio of 0.035, Khonsari's model gives more accurate results since asperity friction is dominant. Above the ratio of 0.035, Wilson's model gives more accurate results since hydrodynamic friction is dominant.

References

References
1.
Wilson
,
W. R. D.
,
Hsu
,
T. C.
, and
Huang
,
X. B.
,
1995
, “
A Realistic Friction Model for Computer Simulation of Sheet Metal Forming Processes
,”
ASME J. Eng. Ind.
,
117
(
2
), pp.
202
209
.
2.
Başpınar
,
M.
,
2011
, “
Modeling and Simulation of Friction in Deep Drawing
,” M.Sc. thesis, Middle East Technical University, Ankara, Turkey.
3.
Patir
,
N.
, and
Cheng
,
H. S.
,
1978
, “
An Average Flow Model for Determining Effects of Three-Dimensional Roughness on Partial Hydrodynamic Lubrication
,”
ASME J. Lubr. Technol.
,
100
(
1
), pp.
12
17
.
4.
Patir
,
N.
, and
Cheng
,
H. S.
,
1979
, “
Application of Average Flow Model to Lubrication Between Rough Sliding Surfaces
,”
ASME J. Lubr. Technol.
,
101
(
2
), pp.
220
229
.
5.
Tripp
,
J. H.
,
1983
, “
Surface Roughness Effects in Hydrodynamic Lubrication: The Flow Factor Method
,”
ASME J. Lubr. Technol.
,
105
(
3
), pp.
458
463
.
6.
Polycarpou
,
A. A.
, and
Soom
,
A.
,
1995
, “
Two-Dimensional Models of Boundary and Mixed Friction at a Line Contact
,”
ASME J. Tribol.
,
117
(
1
), pp.
178
184
.
7.
Wilson
,
W. R. D.
, and
Sheu
,
S.
,
1988
, “
Real Area of Contact and Boundary Friction in Metal Forming
,”
Int. J. Mech. Sci.
,
30
(
7
), pp.
475
489
.
8.
Greenwood
,
J. A.
, and
Williamson
,
J. B. P.
,
1966
, “
Contact of Nominally Flat Surfaces
,”
Proc. R. Soc. London A
,
295
(
1442
), pp.
300
319
.
9.
Gelinck
,
E. R. M.
, and
Schipper
,
D. J.
,
2000
, “
Calculation of Stribeck Curves for Line Contacts
,”
Tribol. Int.
,
33
(
3–4
), pp.
175
181
.
10.
Lu
,
X.
,
Khonsari
,
M. M.
, and
Gelinck
,
E. R. M.
,
2006
, “
The Stribeck Curve: Experimental Results and Theoretical Prediction
,”
ASME J. Tribol.
,
128
(
4
), pp.
789
794
.
11.
Akbarzadeh
,
S. S.
, and
Khonsari
,
M. M.
,
2008
, “
Performance of Spur Gears Considering Surface Roughness and Shear Thinning Lubricant
,”
ASME J. Tribol.
,
130
(
2
), p.
021503
.
12.
Zhai
,
X.
,
Needham
,
G. G.
, and
Chang
,
L. L.
,
1997
, “
On the Mechanism of Multi-Valued Friction in Unsteady Sliding Line Contacts Operating in the Regime of Mixed-Film Lubrication
,”
ASME J. Tribol.
,
119
(
1
), pp.
149
155
.
13.
Darendeliler
,
H.
,
Akkök
,
M.
, and
Yücesoy
,
C. A.
,
2002
, “
Effect of Variable Friction Coefficient on Sheet Metal Drawing
,”
Tribol. Int.
,
35
(
2
), pp.
97
104
.
14.
Christensen
,
H.
,
1969
, “
Stochastic Models for Hydrodynamic Lubrication of Rough Surfaces
,”
Proc. Inst. Mech. Eng.
,
184
(
1
), pp.
1013
1026
.
15.
Sojoudi
,
H. H.
, and
Khonsari
,
M. M.
,
2009
, “
On the Modeling of Quasi-Steady and Unsteady Dynamic Friction in Sliding Lubricated Line Contact
,”
ASME J. Tribol.
,
132
(
1
), p.
012101
.
You do not currently have access to this content.