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Interfacial slippage effect on the spontaneous instability of soft thin viscoelastic films

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Abstract

Based on the continuum mechanics and the bifurcation theory, a three-dimensional theoretical model for a soft thin viscoelastic film bonded to a rigid substrate is investigated. Considering the effect of interfacial slippage and the competition among van der Waals interaction potential energy, strain energy, and surface energy, a set of three-dimensional governing equations of the spontaneous instability is derived, and the analytical results of time-dependent critical conditions are obtained. Furthermore, the phase diagram of instability due to van der Waals interaction and the variation of the dimensionless characteristic wavenumber and the critical interaction stiffness with the critical time are discussed by considering the effect of interfacial slippage.

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References

  1. Vrij A.: Possible mechanism for the spontaneous rupture of thin free liquid films, Discuss. Faraday Soc. 42, 23–33 (1966)

    Article  Google Scholar 

  2. Spencer B.J., Voorhees P.W., Davis S.H.: Morphological instability in epitaxially strained dislocation-free solid film. Phys. Rev. Lett. 67, 3696–3699 (1991)

    Article  Google Scholar 

  3. Spencer B.J., Voorhees P.W., Davis S.H.: Morphological instability in epitaxially strained dislocation-free solid film: Linear stability theory. J. Appl. Phys. 73, 4955–4970 (1993)

    Article  Google Scholar 

  4. Spencer B.J., Meiron D.I.: Nonlinear evolution of the stress-driven morphological instability in a two-dimensional semi-infinite solid. Acta Metall. Mater. 42, 3629–3641 (1994)

    Article  Google Scholar 

  5. Suo Z.G., Zhang Z.Y.: Epitaxial films stabilized by long-range forces. Phys. Rev. B 58, 5116–5120 (1998)

    Article  Google Scholar 

  6. Zhao Y.P.: Morphological stability of epitaxial thin elastic films by van der Waals force. Arch. Appl. Mech. 72, 77–84 (2002)

    Article  MATH  Google Scholar 

  7. Chou S.Y., Zhuang L.: Lithographically induced self-assembly of periodic polymer micropillar arrays. J. Vac. Sci. Technol. B 17, 3197–3202 (1999)

    Article  Google Scholar 

  8. Shenoy V., Sharma A.: Pattern formation in a thin solid film with interactions. Phys. Rev. Lett. 86, 119–122 (2001)

    Article  Google Scholar 

  9. Shenoy V., Sharma A.: Stability of a thin elastic film interacting with a contactor. J. Mech. Phys. Solids. 50, 1155–1173 (2002)

    Article  MATH  Google Scholar 

  10. Mönch W., Herminghaus S.: Elastic instability of rubber films between solid bodies. Europhys. Lett. 53, 525–531 (2001)

    Article  Google Scholar 

  11. Ghatak A., Chaudhury M.K., Shenoy V., Sharma A.: Meniscus instability in a thin elastic film. Phys. Rev. Lett. 85, 4329–4332 (2000)

    Article  Google Scholar 

  12. Ghatak A., Chaudhury M.K.: Adhesion-induced instability patterns in thin confined elastic film. Langmuir 19, 2621–2631 (2003)

    Article  Google Scholar 

  13. Sarkar J., Shenoy V., Sharma A.: Spontaneous surface roughening induced by surface interactions between two compressible elastic films. Phys. Rev. E 67, 1–11 (2003)

    Article  Google Scholar 

  14. Huang S.Q., Li Q.Y., Feng X.Q., Yu S.W.: Pattern instability of a soft elastic thin film under van der Waals forces. Mech. Mater. 38, 88–99 (2006)

    Article  Google Scholar 

  15. Zhang Newby B.-M., Chaudhury M.K., Brown H.R.: Macroscopic evidence of the effect of interfacial slippage on adhesion. Science 269, 1407–1409 (1995)

    Article  Google Scholar 

  16. Lu Z.X., Yu S.W., Wang X.Y., Feng X.Q.: Effect of interfacial slippage in peel test: theoretical model. Eur. Phys. J. E 23, 67–76 (2007)

    Article  Google Scholar 

  17. Vandeparre H., Leopoldes J., Poulard C., Desprez S., Derue G., Gay C., Damman P.: Slippery or sticky boundary conditions: control of wrinkling in metal-capped thin polymer films by selective adhesion to substrates. Phys. Rev. Lett. 99, 188302 (2007)

    Article  Google Scholar 

  18. Pan X.H., Huang S.Q., Yu S.W., Feng X.Q.: Interfacial slippage effect on the surface instability of a thin elastic film under van der Waals force. J. Phys. D: Appl. Phys. 42, 055302 (2009)

    Article  Google Scholar 

  19. Israelachvili J.N.: Intermolecular and Surface Forces. 2nd edn. Academic Press, New York (1992)

    Google Scholar 

  20. Findley J.D.W.N., Lai J.S., Onaran K.: Creep and Relaxation of Nonliear Viscoelastic Materials. North-Holland Pub. Co., New York (1976)

    Google Scholar 

  21. Cahn J.W.: Phase separation by spinodal decomposition in istropic systems. J. Chem. Phys. 42, 93–99 (1965)

    Article  Google Scholar 

  22. Xie R., Karim A., Douglas J.F., Han C.C., Weiss R.A.: Spinodal dewetting of thin polymer films. Phys. Rev. Lett. 81, 1251–1254 (1998)

    Article  Google Scholar 

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Authors and Affiliations

  1. College of Mechanics and Aerospace, Hunan University, 410082, Changsha, China

    Yiming Fu & Yin Huang

  2. Institute of Applied Mechanics, Jinan University, 510632, Guangzhou, China

    Shiqing Huang

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  1. Yiming Fu
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  2. Yin Huang
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  3. Shiqing Huang
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Correspondence to Yin Huang.

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Fu, Y., Huang, Y. & Huang, S. Interfacial slippage effect on the spontaneous instability of soft thin viscoelastic films. Arch Appl Mech 81, 1075–1085 (2011). https://doi.org/10.1007/s00419-010-0471-2

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  • DOI: https://doi.org/10.1007/s00419-010-0471-2

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