The role of nonlinear substrate elasticity in the wrinkling of thin films

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 371, Issue 1993, 2013, Pages

  Hutchinson, John W ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

Neo Hookean elasticity; Thin films; Wrinkling; Wrinkling stability

Indexed keywords

BIFURCATION (MATHEMATICS); ELASTICITY; STIFFNESS; THIN FILMS;

COMPLIANT SUBSTRATES; DIMENSIONLESS PARAMETERS; FULLY NONLINEAR; NEO-HOOKEAN BILAYERS; NEO-HOOKEAN ELASTICITIES; NONLINEAR SUBSTRATES; STIFFNESS RATIOS; WRINKLING;

SUBSTRATES;

EID: 84878137634     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2012.0422     Document Type: Article

References (24)

1. Allen HG. 1969 Analysis and design of sandwich panels. New York, NY: Pergamon Press.
2. Genzer J, Groenewold J. 2006 Soft matter with hard skin: from skin wrinkles to templating and material characterization. Soft Matter 2, 310-323. (doi:10.1039/b516741h)
3. Li B, Cao Y-P, Feng X-Q, Gao H. 2012 Mechanics of morphological instabilities and surface wrinkling in soft materials: a review. Soft Matter 8, 5728-5745. (doi:10.1039/c2sm00011c)
4. Chan EP, Crosby AJ. 2006 Spontaneous formation of stable aligned wrinkle patterns. Soft Matter 2, 324-328. (doi:10.1039/b515628a)
5. Yin J, Yaguer JL, Eggenspieler D, Gleason KK, Boyce MC. 2012 Deterministic order in surface micro-topologies through sequential wrinkling. Adv. Mater. 24, 5441-5446. (doi:10.1002/adma.201201937)
6. Yin J, Cao Z, Li C, Sheinman I, Chen X. 2008 Stress-driven buckling patterns in spheroidal core/shell structures. Proc. Natl Acad. Sci. USA 105, 19 132-19 135. (doi:10.1073/pnas.0810443105)
7. Cai Z, Fu Y. 1999 On the imperfection sensitivity of a coated elastic half-space. Proc. R. Soc. Lond. A 455, 3285-3309. (doi:10.1098/rspa.1999.0451)
8. Cao Y, Hutchinson JW. 2012 Wrinkling phenomena in neo-Hookean film/substrate systems. J. Appl. Mech. 79, 031019. (doi:10.1115/1.4005960)
9. Cao Y, Hutchinson JW. 2012 From wrinkles to creases in elastomers: the instability and imperfection-sensitivity of wrinkling. Proc. R. Soc. A 468, 94-115. (doi:10.1098/rspa.2011.0384)
10. Biot MA. 1963 Surface instability of rubber in compression. Appl. Sci. Res. 12, 168-182.
11. Hohlfeld EB, Mahadevan L. 2011 Unfolding the sulcus. Phys. Rev. Lett. 106, 105702. (doi:10.1103/PhysRevLett.106.105702)
12. Hong W, Zhao X, Suo Z. 2009 Formation of creases on the surfaces of elastomers and gels. Appl. Phys. Lett. 95, 111901. (doi:10.1063/1.3211917)
13. Zang J, Zhao X, Cao Y, Hutchinson JW. 2012 Localized ridge wrinkling of stiff films on compliant substrates. J. Mech. Phys. Solids 60, 1265-1279. (doi:10.1016/j.jmps.2012.03.009)
14. Sun J-Y, Xia S, Moon M-Y, Oh KH, Kim K-S. 2012 Folding wrinkles of a thin stiff layer on a soft substrate. Proc. R. Soc. A 468, 932-953. (doi:10.1098/rspa.2011.0567)
15. Chen X, Hutchinson JW. 2004 Herringbone buckling patterns of compressed thin films on compliant substrates. J. Appl. Mech. 71, 597-603. (doi:10.1115/1.1756141)
16. Koiter WT. 1945 On the stability of elastic equilibrium (in Dutch with English summary). Thesis, Techische Hooge School, Delft, The Netherlands. An English translation is available at http://imechanica. org/node/1400.
17. van der Heijden AM. 2009 W.T. Koiter's elastic stability of solids and structures. Cambridge, UK: Cambridge University Press.
18. Thompson JMT. 1963 Basic principles in the general theory of elastic stability. J. Mech. Phys. Solids 11, 13-25. (doi:10.1016/0022-5096(63)90003-6)
19. Thompson JMT, Hunt GW. 1973 A general theory of elastic stability. London, UK: John Wiley & Sons.
20. Ebata Y, Croll AB, Crosby AJ. 2012 Wrinkling and strain localizations in polymer thin films. Soft Matter 8, 9086-9091. (doi:10.1039/c2sm25859e)
21. Brau F, Vandeparre H, Sabbah A, Poulard C, Boudaoud A, Damman P. 2010 Multiple-length-scale elastic instability mimics parametric resonance of nonlinear oscillators. Nat. Phys. 7, 56-60. (doi:10.1038/nphys1806)
22. Pocivavsek L, Dellsy R, Kern A, Johnson S, Lin B, Lee KYC, Cerda E. 2008 Stress and fold localization in thin elastic membranes. Science 320, 912-916. (doi:10.1126/science.1154069)
23. Hunt GW, Bolt HM, Thompson JMT. 1989 Structural localization phenomena and the dynamical phase-space analogy. Proc. R. Soc. Lond. A 425, 245-267. (doi:10.1098/rspa.1989.0105)
24. Wadee MK, Hunt GW, Whiting AIM. 1997 Asymptotic and Rayleigh-Ritz routes to localized buckling solutions in an elastic instability problem. Proc. R. Soc. Lond. A 453, 2085-2107. (doi:10.1098/rspa.1997.0112)