Skip to main content
Log in

Analysis of local properties during a scratch test on a polymeric surface using molecular dynamics simulations

  • Regular Article
  • Published:
The European Physical Journal E Aims and scope Submit manuscript

Abstract

This work demonstrates a possible route to connect a particle (chain) based understanding with continuum mechanical questions about contact mechanics. The bond orientation, chain conformation and stress field of a polymer film were analyzed during scratch tests (tangential contact) using a molecular dynamics (MD) simulation approach. Scratch tests with a conical tip at constant scratching velocity were simulated on linear amorphous polymer surfaces at various temperatures and roughnesses of the tip and for various interactions between the tip and the particles of the polymer chains. The second Legendre polynomial (computed for small domains around the tip) gave the bond orientation inside the polymer film during sliding of the tip. The gyration tensor (layer-resolved in the direction of the polymer film thickness) provided information about the conformation of the polymer chains. These results allowed us to argue in favor of Briscoe's hypothesis (thin film sheared vs. “bulk” compressive behavior) concerning the friction properties of the polymer surfaces. Finally, the first stress measurements of the virial stress tensor (in sub-boxes placed in the MD cell) revealed a complex combination between compressive hydrostatic pressure and shear stress, which may be interpreted as a complex sheared domain at the interface.

Graphical abstract

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. E. Charrault, Mechanical analysis and physico-chemical relationship between friction and adhesion, PhD thesis, Strasbourg, France

  2. B.J. Briscoe, in Friction and Wear of Polymer Composites, Composite Materials Series, Vol. 1, edited by Klaus Friedrich (Elsevier Amsterdam, 1986)

  3. N. Chen, N. Maeda, M. Tirrell, J. Israelachvili, Macromolecules 38, 3491 (2005)

    Article  ADS  Google Scholar 

  4. L. Léger, H. Hervet, L. Bureau, C.R. Chimie, 9, 80 (2006)

    Google Scholar 

  5. M. Solar, H. Meyer, C. Gauthier, O. Benzerara, H. Pelletier, R. Schirrer, J. Baschnagel, J. Phys. D: Appl. Phys. 43, 455406 (2010)

    Article  ADS  Google Scholar 

  6. F. Svahn, S. Csillag, Tribol. Lett. 41, 387 (2011)

    Article  Google Scholar 

  7. D.B. Knorr, jr., P. Widjaja, O. Acton, R.M. Overney, J. Chem. Phys. 134, 104502 (2011)

    Article  ADS  Google Scholar 

  8. X.-T. Hao, N.Y. Chan, C. Heck, N. Tanigaki, M.F. Paige, D.E. Dunstan, T.A. Smith, Macromolecules 43, 10475 (2010)

    Article  ADS  Google Scholar 

  9. I. Szlufarska, M. Chandross, R.W. Carpick, J. Phys. D: Appl. Phys. 41, 123001 (2008)

    Article  ADS  Google Scholar 

  10. M. Chandross, D.L. Christian, M.J. Stevens, G.S. Grest, Langmuir 24, 1240 (2008)

    Article  Google Scholar 

  11. B.Q. Luan, S. Hyun, J.F. Molinari, N. Bernstein, M.O. Robbins, Phys. Rev. E 74, 046710 (2006)

    Article  ADS  Google Scholar 

  12. C. Yang, B.N.J. Persson, Phys. Rev. Lett. 100, 024303 (2008)

    Article  ADS  Google Scholar 

  13. G. Pätzold, A. Linke, T. Hapke, D.W. Heermann, Thin Solids Films 295, 199 (1997)

    Article  ADS  Google Scholar 

  14. G. Pätzold, T. Hapke, A. Linke, D.W. Heermann, Z. Phys. B 104, 513 (1997)

    Article  ADS  Google Scholar 

  15. K. Yashiro, A. Furuta, Y. Tomita, Computat. Mater. Sci. 38, 136 (2006)

    Article  Google Scholar 

  16. W.-J. Lee, S.-P. Ju, C.-H. Cheng, Langmuir 24, 13440 (2008)

    Article  Google Scholar 

  17. L.C. Zhang, K.L. Johnson, W.C.D. Cheong, Tribol. Lett. 10, 23 (2001)

    Article  Google Scholar 

  18. G. Yiapanis, D.J. Henry, E. Evans, I. Yarovsky, J. Phys. Chem. C 114, 478 (2010)

    Article  Google Scholar 

  19. M. Solar, H. Meyer, C. Gauthier, C. Fond, O. Benzerara, R. Schirrer, J. Baschnagel, Phys. Rev. E 85, 021808 (2012)

    Article  ADS  Google Scholar 

  20. M. Solar, H. Meyer, C. Gauthier, O. Benzerara, R. Schirrer, J. Baschnagel, Wear 271, 2751 (2011)

    Article  Google Scholar 

  21. S. Plimpton, J. Comput. Phys. 117, 1 (1995)

    Article  ADS  MATH  Google Scholar 

  22. M.P. Allen, D.J. Tildesley, Computer Simulation of Liquids (Oxford Science Publications USA, 1987)

  23. D. Frenkel, B. Smit, Understanding Molecular Simulation from Algorithms to Applications (Academic Press, UK, 1996)

  24. B. Schnell, Numerical simulations of the glass transition and glassy state of amorphous polymers: mechanical properties and cavitation, PhD thesis, Strasbourg, France

  25. B. Schnell, H. Meyer, C. Fond, J.P. Wittmer, J. Baschnagel, Eur. Phys. J. E 34, 97 (2011)

    Article  Google Scholar 

  26. S. Peter, H. Meyer, J. Baschnagel, J. Polym. Sci. B 44, 2951 (2006)

    Article  Google Scholar 

  27. S. Peter, Structure and structural relaxation of polymer melts in thin layers, PhD thesis (2007)

  28. S. Peter, S. Napolitano, H. Meyer, M. Wübbenhorst, J. Baschnagel, Macromolecules 41, 7729 (2008)

    Article  ADS  Google Scholar 

  29. S. Peter, H. Meyer, J. Baschnagel, R. Seemann, J. Phys.: Condens. Matter 19, 205119 (2007)

    Article  ADS  Google Scholar 

  30. M. Tsamados, A. Tanguy, C. Goldenberg, J.L. Barrat, Phys. Rev. E 80, 026112 (2009)

    Article  ADS  Google Scholar 

  31. A. Makke, M. Perez, O. Lame, J.L. Barrat, J. Chem. Phys. 131, 014904 (2009)

    Article  ADS  Google Scholar 

  32. J.L. Barrat, J.J. de Pablo, MRS Bull. 32, 1 (2007)

    Article  Google Scholar 

  33. G.J. Papakonstantopoulos, R.A. Riggleman, J.L. Barrat, J.J. de Pablo, Phys. Rev. E 77, 041502 (2008)

    Article  ADS  Google Scholar 

  34. J. Rottler, M.O. Robbins, Phys. Rev. E 64, 051801 (2001)

    Article  ADS  Google Scholar 

  35. J. Rottler, M.O. Robbins, Phys. Rev. E 68, 011507 (2003)

    Article  ADS  Google Scholar 

  36. J. Rottler, M.O. Robbins, Phys. Rev. E 68, 011801 (2003)

    Article  ADS  Google Scholar 

  37. J. Rottler, S. Barsky, M.O. Robbins, Phys. Rev. Lett. 89, 148304 (2002)

    Article  ADS  Google Scholar 

  38. J. Rottler, M.O. Robbins, Comput. Phys. Commun. 169, 177 (2005)

    Article  ADS  Google Scholar 

  39. J. Rottler, M.O. Robbins, Phys. Rev. Lett. 89, 195501 (2002)

    Article  ADS  Google Scholar 

  40. J. Rottler, M.O. Robbins, Phys. Rev. Lett. 95, 225504 (2005)

    Article  ADS  Google Scholar 

  41. K.L. Johnson, Contact Mechanics (Cambridge University Press, UK, 1985)

  42. C. Mischler, J. Baschnagel, K. Binder, Adv. Colloid Interface Sci. 94, 197 (2001)

    Article  Google Scholar 

  43. F. Costanzo, G.L. Gray, P.C. Andia, Int. J. Engin. Sci. 43, 533 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  44. F. Costanzo, G.L. Gray, P.C. Andia, Modell. Simul. Mater. Sci. Engin. 12, S333 (2004)

    Article  ADS  Google Scholar 

  45. P.C. Andia, F. Costanzo, G.L. Gray, Int. J. Solids Struct. 42, 6409 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  46. P.C. Andia, F. Costanzo, G.L. Gray, Modell. Simul. Mater. Sci. Engin. 14, 741 (2006)

    Article  ADS  Google Scholar 

  47. M. Zhou, The Royal Society A 459, 2347 (2003)

    Article  MATH  Google Scholar 

  48. M. Zhou, The Royal Society A 461, 3437 (2005)

    Article  MATH  Google Scholar 

  49. S. Shen, S.N. Atluri, Tech. Sci. Press 6, 91 (2004)

    MATH  Google Scholar 

  50. F. Varnik, J. Baschnagel, K. Binder, J. Chem. Phys. 113, 4444 (2000)

    Article  ADS  Google Scholar 

  51. L.E. Malvern, Introduction to the Mechanics of Continuous Medium, Appendix I: Tensors (Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1969)

  52. K. Yoshimoto, T.S. Jain, K.V. Workum, P.F. Nealey, J.J. de Pablo, Phys. Rev. Lett. 93, 175501 (2004)

    Article  ADS  Google Scholar 

  53. J.L. Bucaille, Simulation numérique de l'indentation et de la rayure des verres organiques, PhD thesis, Ecole Nationale Supérieure des Mines de Paris (2001)

  54. LAMMPS, computer code, LAMMPS Molecular Dynamics Simulator, http://lammps.sandia.gov/

  55. M. Bulacu, E. van der Giessen, J. Chem. Phys. 131, 064904 (2009)

    Article  ADS  Google Scholar 

  56. J. Baschnagel, F. Varnik, J. Phys.: Condens. Matter 17, R851 (2005)

    Article  ADS  Google Scholar 

  57. S. Nose, J. Chem. Phys. 81, 511 (1984)

    Article  ADS  Google Scholar 

  58. C. Bennemann, W. Paul, K. Binder, B. Dünweg, Phys. Rev. E 57, 843 (1998)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Solar.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Solar, M., Meyer, H. & Gauthier, C. Analysis of local properties during a scratch test on a polymeric surface using molecular dynamics simulations. Eur. Phys. J. E 36, 29 (2013). https://doi.org/10.1140/epje/i2013-13029-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epje/i2013-13029-8

Keywords

Navigation