Surface-tension-induced flattening of a nearly plane elastic solid

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 85, Issue 5, 2012, Pages

  Jagota, Anand ^a,b   Paretkar, Dadhichi ^a   Ghatak, Animangsu ^a,c  

^a SAARLAND UNIVERSITY   (Germany)

^b Lehigh University   (United States)

^c INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DIRECT MEASUREMENT; ELASTIC SOLIDS; ELASTOMERIC FILMS; OXYGEN PLASMAS; POLYDIMETHYSILOXANE; SOFT-SOLID; SURFACE DEFORMATION; SURFACE UNDULATION;

DEFORMATION; ELASTICITY;

SURFACE TENSION;

EID: 84861888579     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.051602     Document Type: Article

References (31)

1. P.-G. deGennes, F. Brochard-Wyart, and D. Quere, Capillarity and Wetting Phenomena. Drops, Bubbles, Pearls, Waves (Springer Science+Business Media, Inc., New York, 2002).
2. J. S. Rowlinson and B. Widom, Molecular Theory Of Capillarity (Oxford University Press, New York, 1989).
3. A. W. Adamson and A. P. Gast, Physical Chemistry of Surfaces (John Wiley & Sons, New York, 1997).
4. R. Shuttleworth, Proc. Phys. Soc., London, Sect. A 0370-1298 10.1088/0370-1298/63/5/302 63, 444 (1950).
5. R. C. Cammarata and K. Sieradzki, Annu. Rev. Mater. Sci. 0084-6600 10.1146/annurev.ms.24.080194.001243 24, 214 (1994).
6. C. Herring, in Structure and Properties of Solid Surfaces, edited by, R. Gomer, and, C. S. Smith, (The University of Chicago Press, Chicago, 1953), pp. 5-71.
7. S. Chida, T. Fujiwara, M. Konishi, S. Shimada, and A. Takahashi, Eur. J. Pediatr. 0340-6199 10.1007/s004310050571 156, 131 (1997). (Pubitemid 27049158)
8. C.-Y. Hui, A. Jagota, Y. Y. Lin, and E. J. Kramer, Langmuir LANGD5 0743-7463 10.1021/la0113567 18, 1394 (2002). (Pubitemid 35384072)
9. K. Burton and D. L. Taylor, Nature 0028-0836 10.1038/385450a0 385, 450 (1997). (Pubitemid 27065932)
10. E. Orowan, Proc. R. Soc. London, Ser. A 1364-5021 10.1098/rspa.1970.0091 316, 473 (1970).
11. B. Roman and J. Bico, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/22/49/493101 22, 493101 (2010).
12. S. Mora, T. Phou, J.-M. Fromental, L. M. Pismen, and Y. Pomeau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.214301 105, 214301 (2010).
13. E. R. Jerison, Y. Xu, L. A. Wilen, and E. R. Dufresne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.186103 106, 186103 (2011).
14. Jessica A. Zimberlin, Naomi Sanabria-DeLong, Gregory N. Tew, and Alfred J. Crosby, Soft Matter 1744-683X 10.1039/b617050a 3, 763 (2007). (Pubitemid 46794186)
15. A. Majumder, A. Ghatak, and A. Sharma, Science 0036-8075 10.1126/science.1145839 318, 258 (2007). (Pubitemid 47574850)
16. M. K. Chaudhury and G. M. Whitesides, Langmuir LANGD5 0743-7463 10.1021/la00053a033 7, 1013 (1991).
17. H. Haidara, M. K. Chaudhury, and M. J. Owen, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100021a037 99, 8681 (1995).
18. M. K. Chaudhury, Mater. Sci. Eng., R MIGIEA 0927-796X 10.1016/0927-796X(95)00185-9 16, 97 (1996). (Pubitemid 126408147)
19. J. W. Gibbs, Collected Works (Longman and Green, London, 1876), Vol. 1, p. 315.
20. D. Sander, Curr. Opin. Solid State Mater. Sci. COSSFX 1359-0286 10.1016/S1359-0286(02)00137-7 7, 51 (2003). (Pubitemid 36854747)
21. M. M. Nicolson, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1955.0064 228, 490 (1955).
22. R. Berger, E. Delamarche, H. P. Lang, C. Gerber, J. K. Gimzewski, E. Meyer, and H.-J. Güntherodt, Science SCIEAS 0036-8075 10.1126/science.276. 5321.2021 276, 2021 (1997). (Pubitemid 27443602)
23. W. W. Mullins, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1734979 30, 77 (1959).
24. S. Vajpayee, K. Khare, S. Yang, C.-Y. Hui, and A. Jagota, Adv. Funct. Mater. AFMDC6 1616-301X 10.1002/adfm.201001652 21, 547 (2011).
25. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevE.85.051602 for a discussion showing that the flattening of the gel surface conserves volume and that the gel replicates faithfully the rippled PDMS master prior to separation of the two, discussion of time-dependent evolution of the surface profile of the gel, and some details on the analysis of flattening of the film-terminated surface.
26. K. L. Johnson, Contact Mechanics (Cambridge University Press, Cambridge, 1985).
27. N. Nadermann, J. Ning, A. Jagota, and C.-Y. Hui, Langmuir LANGD5 0743-7463 10.1021/la102593h 26, 15464 (2010).
28. S. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells (McGraw-Hill, New York, 1959).
29. W. L. Noderer, L. Shen, S. Vajpayee, N. J. Glassmaker, A. Jagota, and C.-Y. Hui, Proc. R. Soc. London, Ser. A 1364-5021 PRLAAZ 0080-4630 10.1098/rspa.2007.1891 463, 2631 (2007).
30. H. She, D. Malotky, and M. K. Chaudhury, Langmuir LANGD5 0743-7463 10.1021/la971061m 14, 3090 (1998).
31. S. P. Béfahy, P. Lipnik, T. Pardoen, C. Nascimento, B. Patris, P. Bertrand, and S. Yunus, Langmuir LANGD5 0743-7463 10.1021/la903154y 26, 3372 (2010).