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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

## Abstract

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

## Figures

Fig. 1

Contact regions in a deep drawing process

Fig. 2

Flowchart of the combined friction model

Fig. 3

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

Fig. 4

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

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)

Fig. 6

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

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)

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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