Skip to main content
Log in

Anisotropic dewetting on stretched elastomeric substrates

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

Abstract

We study the instability of a very thin liquid film resting on a uniformly stretched soft elastomeric substrate driven by van der Waals forces. A linear stability analysis shows that the critical fluctuation wavelength in the tensile direction is larger than those in the other directions. The magnitudes of the critical wavelengths are adjustable in the sense that they depend on the principal stretch of the substrate. For example, when the principal stretch of the substrate varies from 1.0 (unstretched) to 3.0, the range of the critical wavelength in the tensile direction increases by 7.0% while that normal to the tensile direction decreases by 8.7%. Therefore, the phenomenon may find potential applications in creating tunable topographically patterned surfaces with nano-to microscale features.

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. P.G. de Gennes, F. Brochard-Wyart, D. Quere, Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves (Springer, 2003).

  2. A. Oron, S.H. Davis, S.G. Bankoff, Rev. Mod. Phys. 69, 931 (1997).

    Article  ADS  Google Scholar 

  3. G. Reiter, R. Khanna, A. Sharma, Phys. Rev. Lett. 85, 1432 (2000).

    Article  ADS  Google Scholar 

  4. S. Herminghaus, K. Jacobs, K. Mecke, J. Bischof, A. Fery, M. Ibn-Elhaj, S. Schlagowski, Science 282, 916 (1998).

    Article  ADS  Google Scholar 

  5. A. Oron, Phys. Rev. Lett. 85, 2108 (2000).

    Article  ADS  Google Scholar 

  6. A. Sharma, R. Khanna, Phys. Rev. Lett. 81, 3463 (1998).

    Article  ADS  Google Scholar 

  7. U. Thiele, Eur. Phys. J. E 12, 409 (2003).

    Article  Google Scholar 

  8. G. Tomar, V. Shankar, S.K. Shukla, A. Sharma, G. Biswas, Eur. Phys. J. E 20, 185 (2006).

    Article  Google Scholar 

  9. A. Kumar, G.M. Whitesides, Science 263, 30 (1994).

    Article  ADS  Google Scholar 

  10. L. Rockford, Y. Liu, P. Mansky, T.P. Russell, Phys. Rev. Lett. 82, 2602 (1999).

    Article  ADS  Google Scholar 

  11. H. Gau, S. Herminghaus, P. Lenz, R. Lipowsky, Science 283, 46 (1999).

    Article  ADS  Google Scholar 

  12. M. Gleiche, L.F. Chi, H. Fuchs, Nature 403, 173 (2000).

    Article  ADS  Google Scholar 

  13. A.M. Higgins, R.A.L. Jones, Nature 404, 476 (2000).

    Article  ADS  Google Scholar 

  14. K. Kargupta, A. Sharma, Phys. Rev. Lett. 86, 4536 (2001).

    Article  ADS  Google Scholar 

  15. K. Kargupta, A. Sharma, J. Chem. Phys. 116, 3042 (2002).

    Article  ADS  Google Scholar 

  16. K. Kargupta, A. Sharma, Langmuir 19, 5153 (2003).

    Article  Google Scholar 

  17. R. Mukherjee, M. Gonuguntla, A. Sharma, J. Nanosci. Nanotechnol. 7, 2069 (2007).

    Article  Google Scholar 

  18. M.E. Shanahan, J. Phys. D: Appl. Phys. 20, 945 (1987).

    Article  ADS  Google Scholar 

  19. M.E. Shanahan, A. Carre, Langmuir 11, 1396 (1995).

    Article  Google Scholar 

  20. P. Martin, F. Brochard-Wyart, Phys. Rev. Lett. 80, 3296 (1998).

    Article  ADS  Google Scholar 

  21. S. Kumar, O.K. Matar, J. Colloid Interface Sci. 273, 581 (2004).

    Article  Google Scholar 

  22. O.K. Matar, V. Gkanis, S. Kumar, J. Colloid Interface Sci. 286, 319 (2005).

    Article  Google Scholar 

  23. K.E. Daniels, S. Mukhopadhyay, P.J. Houseworth, R.P. Behringer, Phys. Rev. Lett. 99, 124501 (2007).

    Article  ADS  Google Scholar 

  24. L.H. He, L. Qiao, Europhys. Lett. 80, 14003 (2007).

    Article  ADS  Google Scholar 

  25. R.W. Ogden, Non-Linear Elastic Deformations (Dover, New York, 1984).

    Google Scholar 

  26. C. Gay, Int. J. Adhesion Adhesives 20, 387 (2000).

    Article  Google Scholar 

  27. J.N. Israelachvili, Intermolecular and Surface Forces (Academic Press, London, 1987).

    Google Scholar 

  28. C.K. Batchelor, An Introduction to Fluid Dynamics (University Press, Cambridge, 1967).

    MATH  Google Scholar 

  29. E. Bormashenko, A. Musin, R. Pogreb, Y. Bormashenko, O. Gendelman, Colloids Surf. A 303, 253 (2007).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. H. He.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Qiao, L., He, L.H. Anisotropic dewetting on stretched elastomeric substrates. Eur. Phys. J. E 26, 387–393 (2008). https://doi.org/10.1140/epje/i2008-10334-3

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epje/i2008-10334-3

PACS

Navigation