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Research Papers: Applications

Modeling and Simulation of Friction in Deep Drawing

[+] Author and Article Information
Murat Başpınar

Mechanical Engineering Department,
Middle East Technical University,
Ankara 06531, Turkey
e-mail: murat.baspinar@metu.edu.tr

Metin Akkök

Professor
Mechanical Engineering Department,
Middle East Technical University,
Ankara 06531, Turkey
e-mail: akkok@metu.edu.tr

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received November 26, 2014; final manuscript received September 2, 2015; published online November 4, 2015. Assoc. Editor: Mircea Teodorescu.

J. Tribol 138(2), 021104 (Nov 04, 2015) (7 pages) Paper No: TRIB-14-1290; doi: 10.1115/1.4031671 History: Received November 26, 2014; Revised September 02, 2015

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.

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Topics: Friction
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References

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. [CrossRef]
Başpınar, M. , 2011, “ Modeling and Simulation of Friction in Deep Drawing,” M.Sc. thesis, Middle East Technical University, Ankara, Turkey.
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. [CrossRef]
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. [CrossRef]
Tripp, J. H. , 1983, “ Surface Roughness Effects in Hydrodynamic Lubrication: The Flow Factor Method,” ASME J. Lubr. Technol., 105(3), pp. 458–463. [CrossRef]
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. [CrossRef]
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. [CrossRef]
Greenwood, J. A. , and Williamson, J. B. P. , 1966, “ Contact of Nominally Flat Surfaces,” Proc. R. Soc. London A, 295(1442), pp. 300–319. [CrossRef]
Gelinck, E. R. M. , and Schipper, D. J. , 2000, “ Calculation of Stribeck Curves for Line Contacts,” Tribol. Int., 33(3–4), pp. 175–181. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
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. [CrossRef]
Christensen, H. , 1969, “ Stochastic Models for Hydrodynamic Lubrication of Rough Surfaces,” Proc. Inst. Mech. Eng., 184(1), pp. 1013–1026. [CrossRef]
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. [CrossRef]

Figures

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Fig. 1

Contact regions in a deep drawing process

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Fig. 2

Flowchart of the combined friction model

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Fig. 3

Thickness variation along 0 deg and 45 deg directions at 18 mm cup depth (fdie = 0.05 and fbh = 0.05)

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Fig. 4

Pressure distributions along 0 deg and 45 deg directions (fdie = 0.05 and fbh = 0.05)

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Fig. 5

Average and relative velocity variations (a) along 0 deg direction and (b) along 45 deg direction at 18 mm cup depth (fdie = 0.05 and fbh = 0.05)

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Fig. 6

Film thickness ratio (h/σ) variation at 18 mm cup depth (fdie = 0.05 and fbh = 0.05)

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Fig. 7

Scaling factor variation (a) along 0 deg direction and (b) along 45 deg direction at 18 mm cup depth (fdie = 0.05 and fbh = 0.05)

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Fig. 8

Variation of local friction coefficient (a) along 0 deg direction and (b) along 45 deg direction at cup depths of 6 mm, 12 mm, and 18 mm (fdie = 0.05 and fbh = 0.05)

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