Skip to main content
Log in

Surface Shape and Contact Pressure Evolution in Two Component Surfaces: Application to Copper Chemical Mechanical Polishing

  • Published:
Tribology Letters Aims and scope Submit manuscript

Abstract

Two defects that arise from the polishing process in integrated circuits technology are erosion and dishing. In this manuscript a generic numerical model that is capable of describing these defects from a mechanics perspective is presented. This numerical model formulates evolution of surface shape for an initially flat sample made up of two distinct materials with different wear rates under constant average polishing pressure. A two parameter elastic foundation model is used for contact pressure calculations. Qualitatively, the results compare favorably to published experimental data collected for copper chemical mechanical polishing. Although entirely mechanical, such modeling may perhaps provide insight into the mechanics of the surface defects and errors encountered during polishing.

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. T.A. Blanchet, J. Tribol. 119 (1997) 597.

    Google Scholar 

  2. W.G. Sawyer, K.I. Diaz, M.A. Hamilton and B. Micklos, J. Tribol. 125 (2003) 678.

    Google Scholar 

  3. W.G. Sawyer, Lubr. Eng. (2001) 31.

  4. J.D. Dickrell, D.B. Dooner and W.G. Sawyer, J. Tribol. 125 (2003) 187.

    Google Scholar 

  5. J.F. Archard, J. Appl. Phys. 24 (1953) 981.

    Google Scholar 

  6. F.W. Preston, J. Soc. Glass Technol. 11 (1927) 214.

    Google Scholar 

  7. P. Põdra and S. Andersson, Wear 224 (1999) 13.

    Google Scholar 

  8. P. Põdra and S. Andersson, Tribol. Int. 32 (1999) 71.

    Google Scholar 

  9. P. Põdra and S. Andersson, Wear 207 (1997) 79.

    Google Scholar 

  10. E. Winkler, The Science of Elasticity and Firmness (Prag: Dominicus, 1867) [Die Lehre von der elasticitaet und festigkeit, in German].

  11. A. Flodin and S. Andersson, Wear 207 (1997) 16.

    Google Scholar 

  12. B.J. Fregly, W.G. Sawyer, M.K. Harman and S.A. Banks, J. Biomech., in press.

  13. T.A. Maxian, T.D. Brown, D.R. Pedersen and J.J. Callaghan, Am. Soc. Mech. Eng. Bioeng. Div. (Publ.) BED 31 (1995) 237.

    Google Scholar 

  14. T.A. Maxian, T.D. Brown, D.R. Pedersen and J.J. Callaghan, J. Orthop. Res. 14 (1996) 668.

    Google Scholar 

  15. T.A. Maxian, T.D. Brown, D.R. Pedersen and J.J. Callaghan, J. Biomech. 29 (1996) 687.

    Google Scholar 

  16. S.M. Kurtz, J.A. Ochoa, C.B. Hovey and C.V. White, J. Biomech. 32 (1999) 967.

    Google Scholar 

  17. T. Tugbawa, T. Park, D. Boning, T. Pan, P. Li, S. Hymes, T. Brown and L. Camilletti, CMP Symposium, Electrochemical Society Meeting, Honolulu, HA(1999).

  18. T. Tugbawa, T. Park, B. Lee, D. Boning, P. Lefevre and J. Nguyen, VLSI Multilevel Interconnect Conference, Santa Clara, CA (2001).

  19. T. Tugbawa, T. Park, B. Lee, D. Boning, P. Lefevre and L. Camilletti, Materials Research Society (MRS) Spring Meeting, San Francisco, CA(2001).

  20. T. Tugbawa, T. Park, D. Boning, L. Camilletti, M. Brongo and P. Lefevre, Chemical Mechanical Polish for ULSI Multilevel Interconnection Conference, Santa Clara (2001) 65.

  21. T. Tugbawa, T. Park and D. Boning, International Interconnect Technology Conference, San Francisco, CA. (2002).

  22. T. Park, T. Tugbawa and D. Boning, Chemical Mechanical Polish for ULSI Multilevel Interconnection Conference CMP-MIC Santa Clara (2000) 196.

  23. P.L. Pasternak, On a New Method of Analysis of an Elastic Foundation by Means of Two-Constants (Moscow, USSR: Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvu i Arkhitekture, 1954) [in Russian].

  24. J.T. Burwell and C.D. Strang, J. Appl. Phys. 23 (1952) 18.

    Google Scholar 

  25. R. Holm, Electrical Contacts(Springer-Verlag, New York, 1946).

    Google Scholar 

  26. F.W. Taylor, Trans. ASME 28 (1906) 31.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to W.G. Sawyer.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sawyer, W. Surface Shape and Contact Pressure Evolution in Two Component Surfaces: Application to Copper Chemical Mechanical Polishing. Tribology Letters 17, 139–145 (2004). https://doi.org/10.1023/B:TRIL.0000032438.56992.be

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:TRIL.0000032438.56992.be

Navigation