Skip to main content
Log in

Modeling of surface roughness effect on dry contact friction in metal forming

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

Interfacial conditions such as friction and roughness substantially affect the process characteristics of metal forming. This study developed a dry friction model that accounted for the adhesion and interference effects of surface roughness. A sliding friction coefficient was suggested to provide fundamental information about the interfacial conditions of the contact surface. The proposed model was easily verified by published experiments and predicted values agreed with experimental results. Accordingly, friction coefficient μ clearly increased as relative roughness R m (= roughness of tool \( R_a^T \)/roughness of workpiece \( R_a^M \), measured as interference effect) increased. Simulations confirmed that the friction coefficient μ decreased as dimensionless stress S m (= contact pressure p m /tensile strength \( \sigma_u^0 \)) increased at small strain hardening exponent n-values. Under the conditions of large n and small R m values, the friction coefficient μ initially decreased and then increased. It then slightly decreased as dimensionless stress S m increased. However, this trend became less apparent as relative roughness R m increased since friction coefficient μ simply decreased.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Leu DK (2011) Evaluation of friction coefficient using indentation model of Brinell hardness test for sheet metal forming. J Mech Sci Tech (in press)

  2. Leu DK (2010) Evaluation of friction coefficient using simplified deformation model of plastic hemispherical contact with a rigid flat. J Mech Sci Technol 24(8):1697–1707

    Article  Google Scholar 

  3. Greenwood JA, Williamson JBP (1966) Contact of nominally flat surfaces. Proc R Soc London Ser A 295:300–319

    Article  Google Scholar 

  4. Abbott EJ, Firestone FA (1933) Specifying surface quality—a method based on accurate measurement and comparison. Mech Eng Am Soc Mech Eng 55:569–572

    Google Scholar 

  5. Chang WR, Etsion I, Bogy DB (1988) Static friction coefficient model metallic rough surfaces. ASME J Tribol 110:57–63

    Article  Google Scholar 

  6. Kogut L, Etsion I (2003) A semi-analytical solution for the sliding inception of a spherical contact. ASME. J Tribol 125:499–506

    Article  Google Scholar 

  7. Kogut L, Etsion I (2004) A static friction model for elastic-plastic contacting rough surfaces. ASME J Tribol 126:34–40

    Article  Google Scholar 

  8. Cohen D, Kligerman Y, Etsion I (2009) The effect of surface roughness on static friction and junction growth of an elastic-plastic spherical contact. ASME. J Tribol 131:021404

    Article  Google Scholar 

  9. Bowden FP, Tabor D (1953) The friction and lubrication of solids. Clarendon, Oxford, pp 98–100

    Google Scholar 

  10. Orowan E (1941) The calculation of roll pressure in hot and cold flat rolling. Proc Inst Mech Eng 150:140–167

    Google Scholar 

  11. Wanheim T, Bay N, Petersen AS (1974) A theoretically determined model for friction in metal working processes. Wear 28:251–258

    Article  Google Scholar 

  12. Bay N, Wanheim T (1976) Real area of contact friction stress at high pressure sliding contact. Wear 38:201–209

    Article  Google Scholar 

  13. Wanheim T, Bay N (1978) A model for friction in metal forming processes. CIRP Annal 27:189–194

    Google Scholar 

  14. Bay N (1987) Friction stress and normal stress in bulk metal forming process. J Mech Work Tech 14:203–223

    Article  Google Scholar 

  15. Greenwood JA, Rowe GW (1965) Deformation of surface asperities during bulk plastic flow. J Appl Phys 36:667–668

    Article  Google Scholar 

  16. Sheu S, Wilson WRD (1983) Flattening of workpiece surface asperities in metal forming. Proc NAMRC XI (SME):172–178

    Google Scholar 

  17. Wilson WRD, Sheu S (1988) Real area of contact and boundary friction in metal forming. Int J Mech Sci 30(7):475–489

    Article  Google Scholar 

  18. Sutcliffe MFP (1988) Surface asperity deformation in metal forming processes. Int J Mech Sci 30(11):847–868

    Article  Google Scholar 

  19. Azushima A (1995) Direct observation of contact behaviour to interpret the pressure dependence of the coefficient of friction in sheet metal forming. Annals of the ClRP 44(1):209–212

    Article  Google Scholar 

  20. Gong H, Lou Z, Zhang Z (2004) Studies on the friction and lubrication characteristics in the sheet steel drawing process. J Mater Process Technol 151:328–333

    Article  Google Scholar 

  21. Xie Y, Wilfams JA (1996) The prediction of friction and wear when a soft surface slides against a harder rough surface. Wear 196:21–34

    Article  Google Scholar 

  22. Lovell MR, Deng Z (1999) Experimental investigation of sliding friction between hard and deformable surfaces with application to manufacturing processes. Wear 236:117–127

    Article  Google Scholar 

  23. Cho H, Ngaile G (2003) Simultaneous determination of flow stress and interface friction by finite element based inverse analysis technique. Annals of the CIRP 52(1):221–224

    Article  Google Scholar 

  24. Carpinteri A, Paggi M (2005) Size-scale effects on the friction coefficient. Int J Solids Struct 42:2901–2910

    Article  MATH  Google Scholar 

  25. Stachowiak GW, Batchelor AW (2005) Engineering tribology, 3rd edn. Elsevier, Butterworth

    Google Scholar 

  26. Lanzon JM, Cardew-Hall MJ, Hodgson PD (1998) Characterising frictional behaviour in sheet metal forming. J Mater Process Technol 80–81:251–256

    Article  Google Scholar 

  27. Weidel S, Enget U (2007) Surface characterization in forming processes by functional 3D parameters. Int J Adv Manuf Technol 33(1–2):130–136

    Article  Google Scholar 

  28. Menezes PL, Kishore KSV, Lovell MR (2010) Response of materials as a function of grinding angle on friction and transfer layer formation. Int J Adv Manuf Technol 49(5–8):485–495

    Article  Google Scholar 

  29. Menezes PL, Kumar K, Kishore, Kailas SV (2009) Influence of friction during forming processes—a study using a numerical simulation technique. Int J Adv Manuf Technol 40(11–12):1067–1076

    Article  Google Scholar 

  30. Menezes PL, Kishore, Kailas SV (2009) Influence of roughness parameters and surface texture on friction during sliding of pure lead over 080M40 steel. Int J Adv Manuf Technol 43(7–8):731–743

    Article  Google Scholar 

  31. Rigney DA (2000) Transfer, mixing and associated chemical and mechanical processes during sliding of ductile materials. Wear 245:1–9

    Article  Google Scholar 

  32. Bonny K, De Baets P, Vleugels J, Salehi A, Van der Biest O, Lauwers B, Liu W (2008) EDM machinability and frictional behavior of ZrO2-WC composites. Int J Adv Manuf Technol 41(11–12):1085–1093

    Google Scholar 

  33. Diaz de Cerio MJ, Fuentes GG, Martinez R, Rodriguez RJ, Spain E, Housden J, Qin Y, Hörnig W (2010) Temperature-dependent contact phenomena of PVD- and CVD-deposited DLC films sliding on the thin aluminium foil. Int J Adv Manuf Technol 47(9–12):931–936

    Article  Google Scholar 

  34. Edwards CM, Halling J (1968) An analysis of the plastic interaction of surface asperities and its relevance to the value of the coefficient of friction. J Mech Eng Sci 10:101–110

    Article  Google Scholar 

  35. Wanheim T, Abildgaard T (1980) A mechanism for metallic friction. Proc 4th Int Conf Prod Eng Tokyo: 122–127

  36. Avitzur B, Van Tyne CJ, Luo ZJ, Tang CR (1984) A model for the simulation of friction between dies and workpieces. Proc 1st Int Con on Adv Technology and Plasticity. Tokyo: 200–207

  37. Osakada K, Matsumoto R (2000) Fundamental study of dry metal forming with coated tool. CIRP Annals 49:161–164

    Article  Google Scholar 

  38. Lee BH, Keum YT, Wagoner RH (2002) Modeling of the friction caused by lubrication and surface roughness in sheet metal forming. J Mater Process Technol 120–131:60–63

    Article  Google Scholar 

  39. Becker P, Jeon HJ, Chang CC, Bramley AN (2003) A geometric approach to modeling friction in metal forming. CIRP Annals 52:209–212

    Article  Google Scholar 

  40. Mahrenholtz O, Bontcheva N, Lankov R (2005) Influence of surface roughness on friction during metal forming processes. J Mater Process Technol 159(1):9–16

    Article  Google Scholar 

  41. Jeon J, Bramley AN (2007) A friction model for microforming. Int J Adv Manuf Technol 33:125–129

    Article  Google Scholar 

  42. Menezes PL, Kishore KSV (2008) Influence of roughness parameters on coefficient of friction under lubricated condition. Sādhanā 33(3):181–190

    Google Scholar 

  43. Shaw MC (1970) Metal cutting principles. Oxford Press, Oxford

    Google Scholar 

  44. Dieter GE (1976) Mechanical metallurgy (second edition). New York, McGraw Hill, pp 389–394

    Google Scholar 

  45. Leu DK (2009) A simple dry friction model for metal forming process. J Mater Process Technol 209:2361–2368

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Daw-Kwei Leu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Leu, DK. Modeling of surface roughness effect on dry contact friction in metal forming. Int J Adv Manuf Technol 57, 575–584 (2011). https://doi.org/10.1007/s00170-011-3305-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-011-3305-7

Keywords

Navigation