Skip to main content
Log in

Size-Dependent Adhesion Strength of a Single Viscoelastic Fiber

  • Original Paper
  • Published:
Tribology Letters Aims and scope Submit manuscript

Abstract

Nano-fibrillar adhesives can adhere strongly to surfaces as a gecko does. The size of each fiber has significant effects on the adhesion enhancement, especially on rough surfaces. In the present study, we report the size effects on the normal and shear strength of adhesion for a single viscoelastic fiber. It is found that there exists a limited region of the critical sizes under which the interfacial normal or tangential tractions uniformly attain the theoretical adhesion strength. The region for a viscoelastic fiber under tension with similar material constants to a gecko’s spatula is 135–255 nm and that under torque is 26.5–52 nm. This finding is significant for the development of artificial biomimetic attachment systems.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Autumn, K., Liang, Y.C., Hsieh, S.T., Zesch, W., Chan, W.P., Kenny, T.W., Fearing, R., Full, R.J.: Adhesion forces of a single gecko foot-hair. Nature 405, 681–685 (2000)

    Article  CAS  PubMed  ADS  Google Scholar 

  2. Autumn, K., Sitti, M., Liang, Y.C., Peattie, A.M., Hansen, W.R., Sponberg, S., Kenny, T.W., Fearing, R., Israelachvili, J.N., Full, R.J.: Evidence for van der Walls adhesion in gecko setae. Proc. Natl Acad. Sci. USA 99, 12252–12256 (2002)

    Article  CAS  PubMed  ADS  Google Scholar 

  3. Glassmaker, N.J., Jagota, A., Hui, C.Y., Kim, J.: Design of biomimetic fibrillar interface: 1. Making contact. J. R. Soc. Interface 1, 23–33 (2004)

    Article  CAS  PubMed  Google Scholar 

  4. Gao, H., Wang, X., Yao, H., Gorb, S., Arzt, E.: Mechanics of hierarchical adhesion structures of gecko. Mech. Mater. 37, 275–285 (2005)

    Article  Google Scholar 

  5. Hui, C.Y., Glassmaker, N.J., Tang, T., Jagota, A.: Design of biomimetic fibrillar interface: 2. Mechanics of enhanced adhesion. J. R. Soc. Interface 1, 35–48 (2004)

    Article  PubMed  Google Scholar 

  6. Yao, H., Gao, H.: Bio-inspired mechanics of robust and releasable adhesion on rough surface. J. Mech. Phys. Solids 54, 1120–1146 (2006)

    Article  MATH  ADS  Google Scholar 

  7. Chen, S., Gao, H.: Bio-inspired mechanics of reversible adhesion: orientation-dependent adhesion strength for non-slipping adhesive contact with transversely isotropic elastic materials. J. Mech. Phys. Solids 55, 1001–1015 (2007)

    Article  MATH  CAS  ADS  Google Scholar 

  8. Arzt, E., Gorb, S., Spolenak, R.: From micro to nano contacts in biological attachment devices. Proc. Natl Acad. Sci. USA 100, 10603–10606 (2003)

    Article  CAS  PubMed  ADS  Google Scholar 

  9. Chen, S., Soh, A.: Tuning the geometrical parameters of biomimetic fibrillar structures to enhance adhesion. J. R. Soc Interface 5, 373–382 (2008)

    Article  PubMed  Google Scholar 

  10. Persson, B.N.J.: Nanoadhesion. Wear 254, 832–834 (2003)

    Article  CAS  Google Scholar 

  11. Geim, A.K., Dubonos, S.V., Grigorieva, I.V., Novoselov, K.S., Zhukov, A.A., Shapoval, S.: Microfabricated adhesive mimicking gecko foot-hair. Nat. Mater. 2, 461–463 (2003)

    Article  CAS  PubMed  ADS  Google Scholar 

  12. Kim, S., Sitti, M.: Biologically inspired polymer microfibers with spatulate tips as repeatable fibrillar adhesives. Appl. Phys. Lett. 89, 261911 (2006)

    Article  ADS  Google Scholar 

  13. Kim, S., Aksak, B., Sitti, M.: Enhanced friction of elastomer microfiber adhesives with spatulate tips. Appl. Phys. Lett. 91, 221913 (2007)

    Article  ADS  Google Scholar 

  14. Maeno, Y., Nakayama, Y.: Geckolike high shear strength by carbon nanotube fiber adhesive. Appl. Phys. Lett. 94, 012103 (2009)

    Article  ADS  Google Scholar 

  15. Arzt, E.: Biological and artificial attachment devices: lessons for materials scientists from flies and geckos. Mater. Sci. Eng. C 26, 1245–1250 (2006)

    Article  CAS  Google Scholar 

  16. Persson, B.N.J.: On the mechanism of adhesion in biological systems. J. Chem. Phys. 118(16), 7614–7621 (2003)

    Article  CAS  ADS  Google Scholar 

  17. Russell, A.P.: A contribution to the functional analysis of the foot of the Tokay, Gekko gecko (Reptilia, Gekkonidae). J. Zool. Lond. 176, 437–476 (1975)

    Article  Google Scholar 

  18. FEM code developed by Dr. Patrick Klein of Sandia National Laboratory, http://tahoe.cs.sandia.gov

  19. Xu, X.P., Needleman, A.: Numerical simulations of fast crack growth in brittle solids. J. Mech. Phys. Solids 42, 1397–1434 (1994)

    Article  MATH  ADS  Google Scholar 

  20. Tvergaard, V., Hutchinson, J.W.: Effect of strain-dependent cohesive zone model on predictions of crack growth resistance. Int. J. Solids Struct. 33, 3297–3308 (1996)

    Article  MATH  Google Scholar 

  21. Yao, H.: Mechanics of robust and releasable adhesion in biology. PhD dissertation, Max-Planck Institute for Metals Research, Stuttgart (2006)

  22. Carpick, R.W., Agrait, N., Ogletree, D.F., Salmeron, M.: Variation of the interfacial shear strength and adhesion of a nanometer sized contact. Langmuir 12, 3334–3340 (1996)

    Article  CAS  Google Scholar 

  23. Chen, S., Xu, G., Soh, A.K.: Robust nanoadhesion under torque. Tribol. Lett. 29, 235–239 (2008)

    Article  Google Scholar 

  24. Spolenak, S., Gorb, S., Arzt, E.: Adhesion design maps for bio-inspired attachment systems. Acta Biomater. 1, 5–13 (2005)

    Article  PubMed  Google Scholar 

Download references

Acknowledgments

The authors acknowledge the National Science Foundation (10972220, 10732050, and 10721202), KJCX2-YW-M04 of CAS Innovation Program and Start Fund for Returning Overseas person.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shaohua Chen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, S., Xu, G. & Soh, A. Size-Dependent Adhesion Strength of a Single Viscoelastic Fiber. Tribol Lett 37, 375–379 (2010). https://doi.org/10.1007/s11249-009-9532-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11249-009-9532-5

Keywords

Navigation