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.
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References
P.G. de Gennes, F. Brochard-Wyart, D. Quere, Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves (Springer, 2003).
A. Oron, S.H. Davis, S.G. Bankoff, Rev. Mod. Phys. 69, 931 (1997).
G. Reiter, R. Khanna, A. Sharma, Phys. Rev. Lett. 85, 1432 (2000).
S. Herminghaus, K. Jacobs, K. Mecke, J. Bischof, A. Fery, M. Ibn-Elhaj, S. Schlagowski, Science 282, 916 (1998).
A. Oron, Phys. Rev. Lett. 85, 2108 (2000).
A. Sharma, R. Khanna, Phys. Rev. Lett. 81, 3463 (1998).
U. Thiele, Eur. Phys. J. E 12, 409 (2003).
G. Tomar, V. Shankar, S.K. Shukla, A. Sharma, G. Biswas, Eur. Phys. J. E 20, 185 (2006).
A. Kumar, G.M. Whitesides, Science 263, 30 (1994).
L. Rockford, Y. Liu, P. Mansky, T.P. Russell, Phys. Rev. Lett. 82, 2602 (1999).
H. Gau, S. Herminghaus, P. Lenz, R. Lipowsky, Science 283, 46 (1999).
M. Gleiche, L.F. Chi, H. Fuchs, Nature 403, 173 (2000).
A.M. Higgins, R.A.L. Jones, Nature 404, 476 (2000).
K. Kargupta, A. Sharma, Phys. Rev. Lett. 86, 4536 (2001).
K. Kargupta, A. Sharma, J. Chem. Phys. 116, 3042 (2002).
K. Kargupta, A. Sharma, Langmuir 19, 5153 (2003).
R. Mukherjee, M. Gonuguntla, A. Sharma, J. Nanosci. Nanotechnol. 7, 2069 (2007).
M.E. Shanahan, J. Phys. D: Appl. Phys. 20, 945 (1987).
M.E. Shanahan, A. Carre, Langmuir 11, 1396 (1995).
P. Martin, F. Brochard-Wyart, Phys. Rev. Lett. 80, 3296 (1998).
S. Kumar, O.K. Matar, J. Colloid Interface Sci. 273, 581 (2004).
O.K. Matar, V. Gkanis, S. Kumar, J. Colloid Interface Sci. 286, 319 (2005).
K.E. Daniels, S. Mukhopadhyay, P.J. Houseworth, R.P. Behringer, Phys. Rev. Lett. 99, 124501 (2007).
L.H. He, L. Qiao, Europhys. Lett. 80, 14003 (2007).
R.W. Ogden, Non-Linear Elastic Deformations (Dover, New York, 1984).
C. Gay, Int. J. Adhesion Adhesives 20, 387 (2000).
J.N. Israelachvili, Intermolecular and Surface Forces (Academic Press, London, 1987).
C.K. Batchelor, An Introduction to Fluid Dynamics (University Press, Cambridge, 1967).
E. Bormashenko, A. Musin, R. Pogreb, Y. Bormashenko, O. Gendelman, Colloids Surf. A 303, 253 (2007).
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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
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DOI: https://doi.org/10.1140/epje/i2008-10334-3