Advertisement

Hierarchical Models of Engineering Rough Surfaces and Bio-inspired Adhesives

  • Feodor M. Borodich
  • Ovidiu Savencu
Chapter
Part of the Biologically-Inspired Systems book series (BISY, volume 9)

Abstract

Friction, wear, adhesion and energy dissipation during sliding are strongly influenced by deformations of asperities, which, in turn, depend on the surface profile. At the nanoscale, the effects of surface roughness and the underlying physical phenomena, such as adhesion between contacting objects, have a considerable influence on the interaction between surfaces. Here various models of rough surfaces, including multi-level models, hierarchically structured models, and appropriate multi-scale models of contact interactions between rough surfaces are reviewed and discussed. A new model for numerical simulations of dry friction between rough engineering surfaces is introduced. The main features of the new model based on the use of a multi-level and multi-scale, hierarchically structured slider are described. Although the surface topography of the biological attachment devices is rather different from the topography of engineering surfaces, some existing models of bio-inspired adhesives are classified using terminology introduced for models of engineering rough surfaces.

Notes

Acknowledgements

This work was fulfilled in the framework of the CARBTRIB International Network on Nano-phenomena and Functionality of Modern Carbon-Based Tribo-Coatings. Thanks are due to the Leverhulme Trust for financial support of the Network. The materials of the paper have been presented at the 1st International CARBTRIB Workshop (Cardiff University, 19–20 January 2016). The authors are grateful to their partners within the CARBTRIB International Network: Professor S. Gorb from University of Kiel, Germany and Dr. A. Vernes from Austrian Excellence Center for Tribology (AC2T), Wiener Neustadt, Austria for their valuable comments on the work. One of the authors (O.S.) was also supported within the framework of the Austrian COMET-Program (Project K2, XTribology, No. 824187/849109) of the Excellence Centre of Tribology.

References

  1. 1.
    M. Scherge, S.N. Gorb, Biological Micro- and Nanotribology (Springer, Berlin, 2001)CrossRefGoogle Scholar
  2. 2.
    S.N. Gorb, Attachment Devices of Insect Cuticle (Kluwer Academic Publishers, Dordrecht, 2001)Google Scholar
  3. 3.
    O. Savencu, F.M. Borodich, in NSCM-27 27th Nordic Seminar on Computational Mechanics, ed. by A. Eriksson, A. Kulachenko, M. Mihaiescu, G. Tibert (Stockholm, 2014), pp. 136–139Google Scholar
  4. 4.
    I.V. Kragelsky, M.N. Dobychin, V.S. Kombalov, Friction and Wear: Calculation Methods (Pergamon, Oxford, 1982)Google Scholar
  5. 5.
    I.V. Kragelsky, V.S. Schedrov, Development of the Science About Friction (USSR Academy of Sciences Press, Moscow, 1956)Google Scholar
  6. 6.
    D. Dowson, History of Tribology (Longman, New York, 1979)Google Scholar
  7. 7.
    B. Derjaguin, Kolloid Zeitschrift 69, 155 (1934)CrossRefGoogle Scholar
  8. 8.
    F.P. Bowden, L. Leben, Nature 141, 691 (1938)CrossRefGoogle Scholar
  9. 9.
    R. Heise, V.L. Popov, Tribol. Lett. 39, 247 (2010)CrossRefGoogle Scholar
  10. 10.
    I.G. Goryacheva, Y.Y. Makhovskaya, Dokl. Phys. 49, 534 (2004)CrossRefGoogle Scholar
  11. 11.
    M. Schargott, V.L. Popov, S. Gorb, J. Theor. Biol. 243, 48 (2006)CrossRefGoogle Scholar
  12. 12.
    J. Carrasco, J. Klimes, A. Michaelides, J. Chem. Phys. 138, 9 (2013)CrossRefGoogle Scholar
  13. 13.
    I.A. Polonsky, L.M. Keer, J. Tribol. ASME 118, 335 (1996)CrossRefGoogle Scholar
  14. 14.
    I.A. Polonsky, L.M. Keer, Proc. R. Soc. a Math. Phys. Eng. Sci. 452, 2173 (1996)CrossRefGoogle Scholar
  15. 15.
    G.A. Tomlinson, Philos. Mag. 7, 905 (1929)CrossRefGoogle Scholar
  16. 16.
    V.L. Popov, Contact Mechanics and Friction (Springer, Berlin, Heidelberg, 2010)CrossRefGoogle Scholar
  17. 17.
    L. Prandtl, Zeitschrift Fur Angew. Math. Und Mech. 8, 85 (1928)CrossRefGoogle Scholar
  18. 18.
    A.E. Filippov, V.L. Popov, Phys. Rev. E 75, 4 (2007)CrossRefGoogle Scholar
  19. 19.
    P. Lu, Y.C. Loke, X.S. Tang, S.S. Kushvaha, S.J. O’Shea, Tribol. Lett. 43, 73 (2011)CrossRefGoogle Scholar
  20. 20.
    F.M. Borodich, Proc. Inst. Mech. Eng. Part J: J. Eng. Tribol. 221, 893 (2007)CrossRefGoogle Scholar
  21. 21.
    V.A. Zhuravlev, F.M. Borodich, Zh. Tekh. Fiz (J. Tech. Phys.) 10, 1447 (1940)Google Scholar
  22. 22.
    I.V. Kragelsky, Bull. Acad. Sci. USSR Tech. Sci. Div. 10, 1621 (1948)Google Scholar
  23. 23.
    J.A. Greenwood, in Applied Surface Modelling, ed. by C.F.M. Creasy, C. Craggs (Ellis Horwood, New York, 1990)Google Scholar
  24. 24.
    J.A. Greenwood, J.B. Williamson, Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 295, 300 (1966)CrossRefGoogle Scholar
  25. 25.
    P.V. Sergienko, N.S. Bukharov, Noise and Vibration in Friction Systems, 1st edn. (Springer International Publishing, Berlin, 2015)Google Scholar
  26. 26.
    D.M. Tolstoi, Wear 10, 199 (1967)CrossRefGoogle Scholar
  27. 27.
    D.A. Haessig, B. Friedland, J. Dyn. Syst. Meas. Control ASME 113, 354 (1991)CrossRefGoogle Scholar
  28. 28.
    D. Dowson, History of Tribology (Professional Engineering Publishers, London, 1998)Google Scholar
  29. 29.
    F.M. Borodich, D.A. Onishchenko, J. Frict. Wear 14, 14 (1993)Google Scholar
  30. 30.
    F. Al-Bender, V. Lampaert, J. Swevers, Tribol. Lett. 16, 81 (2004)CrossRefGoogle Scholar
  31. 31.
    F. Al-Bender, K. De Moerlooze, P. Vanherck, Tribol. Lett. 46, 23 (2012)CrossRefGoogle Scholar
  32. 32.
    K. De Moerlooze, F. Al-Bender, H. Van Brussel, Wear 270, 760 (2011)CrossRefGoogle Scholar
  33. 33.
    K. De Moerlooze, F. Al-Bender, H. Van Brussel, Tribol. Lett. 40, 1 (2010)Google Scholar
  34. 34.
    C.K. Bora, M.E. Plesha, R.W. Carpick, Tribol. Lett. 50, 331 (2013)CrossRefGoogle Scholar
  35. 35.
    J.F. Archard, Proc. R. Soc. London Ser. A Math. Phys. Sci. 243, 190 (1957)CrossRefGoogle Scholar
  36. 36.
    R.S. Sayles, T.R. Thomas, Nature 271, 431 (1978)CrossRefGoogle Scholar
  37. 37.
    M.V. Berry, J.H. Hannay, Nature 273, 573 (1978)CrossRefGoogle Scholar
  38. 38.
    S.R. Brown, C.H. Scholz, J. Geophys. Res. Earth Planets 90, 5531 (1985)CrossRefGoogle Scholar
  39. 39.
    F.M. Borodich, Encycl. Tribol. 2, 1249 (2013)CrossRefGoogle Scholar
  40. 40.
    F.M. Borodich, Encycl. Tribol. 2, 1264 (2013)CrossRefGoogle Scholar
  41. 41.
    F.M. Borodich, A.B. Mosolov, PMM J. Appl. Math. Mech. 56, 681 (1992)CrossRefGoogle Scholar
  42. 42.
    F.M. Borodich, C. R. Acad. Des. Sci. Paris Ser. 2 316(2), 281 (1993)Google Scholar
  43. 43.
    F.M. Borodich, H.P. Evans, Encycl. Tribol. 2, 1246 (2013)CrossRefGoogle Scholar
  44. 44.
    T. Kaplan, S.H. Liu, L.J. Gray, Phys. Rev. B 34, 4870 (1986)CrossRefGoogle Scholar
  45. 45.
    F.M. Borodich, A.B. Mosolov, Zhurnal Tekhnicheskoi Fiz. 61, 50 (1991)Google Scholar
  46. 46.
    T.L. Warren, D. Krajcinovic, Wear 196, 1 (1996)CrossRefGoogle Scholar
  47. 47.
    M.E. Plesha, D. Ni, Int. J. Numer. Anal. Methods Geomech. 25, 741 (2001)CrossRefGoogle Scholar
  48. 48.
    T.L. Warren, D. Krajcinovic, Int. J. Solids Struct. 32, 2907 (1995)CrossRefGoogle Scholar
  49. 49.
    O.M. Abuzeid, P. Eberhard, J. Tribol. ASME 129, 461 (2007)CrossRefGoogle Scholar
  50. 50.
    J. Schmittbuhl, J.P. Vilotte, S. Roux, J. Geophys. Res. Earth 101, 13911 (1996)CrossRefGoogle Scholar
  51. 51.
    R. Burridge, L. Knopoff, Bull. Seismol. Soc. Am. 57, 341 (1967)Google Scholar
  52. 52.
    F.M. Borodich, D.A. Onishchenko, Int. J. Solids Struct. 36, 2585 (1999)CrossRefGoogle Scholar
  53. 53.
    M. Lessel, P. Loskill, F. Hausen, N.N. Gosvami, R. Bennewitz, K. Jacobs, Phys. Rev. Lett. 111, 5 (2013)CrossRefGoogle Scholar
  54. 54.
    H.M. Pollock, Fundam. Frict. Macrosc. Microsc. Process. 220, 77 (1992)CrossRefGoogle Scholar
  55. 55.
    E. Gorb, S. Gorb, Ecol. Biomech. A Mech. Approach Ecol. Anim. Plants 147 (2006)Google Scholar
  56. 56.
    F.M. Borodich, B.A. Galanov, Proc. R. Soc. A Math. Phys. Eng. Sci. 464, 2759 (2008)CrossRefGoogle Scholar
  57. 57.
    E.V. Gorb, S.N. Gorb, Iutam Symp. Scaling Solid Mech. 10, 243 (2009)CrossRefGoogle Scholar
  58. 58.
    H. Yao, H. Gao, J. Mech. Phys. Solids 54, 1120 (2006)CrossRefGoogle Scholar
  59. 59.
    Y. Tian, J. Wan, N. Pesika, M. Zhou, Sci. Rep. 3, 6 (2013)Google Scholar
  60. 60.
    A.K. Geim, S.V. Dubonos, I.V. Grigorieva, K.S. Novoselov, A.A. Zhukov, S.Y. Shapoval, Nat. Mater. 2, 461 (2003)CrossRefGoogle Scholar
  61. 61.
    K.J. Jin, J.C. Cremaldi, J.S. Erickson, Y. Tian, J.N. Israelachvili, N.S. Pesika, Adv. Funct. Mater. 24, 574 (2014)CrossRefGoogle Scholar
  62. 62.
    E. Rabinowicz, J. Appl. Phys. 22, 1373 (1951)CrossRefGoogle Scholar
  63. 63.
    N. Gravish, M. Wilkinson, S. Sponberg, A. Parness, N. Esparza, D. Soto, T. Yamaguchi, M. Broide, M. Cutkosky, C. Creton, K. Autumn, J.R. Soc, Interface 7, 259 (2010)Google Scholar
  64. 64.
    L.T. Qu, L.M. Dai, M. Stone, Z.H. Xia, Z.L. Wang, Science 322, 238 (2008). (80)CrossRefGoogle Scholar
  65. 65.
    H.J. Gao, X. Wang, H.M. Yao, S. Gorb, E. Arzt, Mech. Mater. 37, 275 (2005)CrossRefGoogle Scholar
  66. 66.
    F.M. Borodich, E.V. Gorb, S.N. Gorb, Appl. Phys. A Mater. Sci. Process. 100, 63 (2010)CrossRefGoogle Scholar
  67. 67.
    S. Gorb, M. Varenberg, A. Peressadko, J. Tuma, J.R. Soc, Interface 4, 271 (2007)Google Scholar
  68. 68.
    M. Varenberg, S. Gorb, J.R. Soc, Interface 5, 785 (2008)Google Scholar
  69. 69.
    M.P. Murphy, B. Aksak, M. Sitti, Small 5, 170 (2009)CrossRefGoogle Scholar
  70. 70.
    S. Kim, E. Cheung, M. Sitti, Langmuir 25, 7196 (2009)CrossRefGoogle Scholar
  71. 71.
    H.E. Jeong, J.K. Lee, H.N. Kim, S.H. Moon, K.Y. Suh, Proc. Natl. Acad. Sci. U.S.A. 106, 5639 (2009)CrossRefGoogle Scholar
  72. 72.
    M.T. Northen, C. Greiner, E. Arzt, K.L. Turner, Adv. Mater. 20, 3905 (2008)CrossRefGoogle Scholar
  73. 73.
    S. Niederegger, S.N. Gorb, J. Comp. Physiol. A Neuroethol. Sens. Neural Behav. Physiol. 192, 1223 (2006)CrossRefGoogle Scholar
  74. 74.
    A. Gasparetto, R. Vidoni, V. Zanotto, E. Brusa, Attaching Mechanisms and Strategies Inspired by the Spiders’ Leg (Department of Electrical, Mechanical and Management Engineering of the University of Udine, Italy, 2008)Google Scholar
  75. 75.
    H. Peisker, J. Michels, S.N. Gorb, Nat. Commun. 4, 7 (2013)CrossRefGoogle Scholar
  76. 76.
    S.N. Gorb, A.E. Filippov, Beilstein J. Nanotechnol. 5, 837 (2014)CrossRefGoogle Scholar
  77. 77.
    M.P. Murphy, S. Kim, M. Sitti, Appl. Mater. Interfaces 1, 849 (2009)CrossRefGoogle Scholar
  78. 78.
    D.M. Drotlef, E. Appel, H. Peisker, K. Dening, A. del Campo, S.N. Gorb, W.J.P. Barnes, Interface Focus 5, 11 (2015)Google Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Cardiff School of EngineeringCardiff UniversityCardiffWales, UK
  2. 2.Austrian Center of Competence for TribologyWiener NeustadtAustria

Personalised recommendations