Buckling and postbuckling of a compressed thin film bonded on a soft elastic layer: A three-dimensional analysis

Archive of Applied Mechanics

Volumn 80, Issue 2, 2010, Pages 175-188

  Li, Bo ^a   Huang, Shi Qing ^b   Feng, Xi Qiao ^a  

^a TSINGHUA UNIVERSITY   (China)

^b JINAN UNIVERSITY   (China)

Author keywords

Analytical method; Buckling; Postbuckling; Surface pattern; Thin film

Indexed keywords

ANALYTICAL METHOD; ANALYTICAL SOLUTIONS; BONDING CONDITIONS; BUCKLING AND POSTBUCKLING BEHAVIOR; ELASTIC LAYERS; ELASTIC PROPERTIES; IN-PLANE STRESS; POSTBUCKLING; RESIDUAL COMPRESSIVE STRESS; RIGID SUBSTRATES; SOFT LAYERS; SURFACE PATTERN; THEORETICAL MODELS; THREE-DIMENSIONAL ANALYSIS;

BUCKLING; HYDROELASTICITY; TEXTILE PRINTING; THIN FILM DEVICES; THIN FILMS; THREE DIMENSIONAL;

FILM THICKNESS;

EID: 76749120500     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-009-0313-2     Document Type: Article

References (45)

1. S. Wagner S.P. Lacour J. Jones, et al. 2004 Electronic skin: architecture and components Physica E 25 326 334 10.1016/j.physe.2004.06.032
2. G.F. Wang P. Schiavone C.Q. Ru 2005 Surface instability of a semi-infinite harmonic solid under van der Waals attraction Acta Mech. 180 1 10 1082.74018 10.1007/s00707-005-0271-x
3. S.P. Lacour S. Wagner R. Narayan T. Li Z. Suo 2006 Stiff subcircuit islands of diamondlike carbon for stretchable electronics J. Appl. Phys. 100 014913 10.1063/1.2210170 (Pubitemid 44090907)
4. K.M. Choi J.A. Rogers 2003 A photocurable poly(dimethysiloxane) chemistry designed for soft lithographic molding and printing in the nanometer regime J. Am. Chem. Soc. 125 4060 4061 10.1021/ja029973k (Pubitemid 36512295)
5. D.Y. Khang H. Jiang Y. Huang J.A. Rogers 2006 A stretchable form of single-crystal silicon for high-performance electronics on rubber substrates Science 311 208 212 10.1126/science.1121401 (Pubitemid 43108182)
6. H. Jiang Y. Sun J.A. Rogers Y. Huang 2007 Mechanics of precisely controlled thin film buckling on elastomeric substrate Appl. Phys. Lett. 90 133119 10.1063/1.2719027 (Pubitemid 46516917)
7. Y.Q. Fu S. Sanjabi Z.H. Barber, et al. 2006 Evolution of surface morphology in TiNiCu shape memory thin films Appl. Phys. Lett. 89 171922 10.1063/1.2361275 (Pubitemid 44656660)
8. C. Harrison C.M. Stafford W.H. Zhang A. Karim 2004 Sinusoidal phase grating created by a tunably buckled surface Appl. Phys. Lett. 85 4016 4018 10.1063/1.1809281
9. K. Efimenko M. Rackaitis E. Manias A. Vaziri L. Mahadevan J. Genzer 2005 Nested self-similar wrinkling patterns in skins Nat. Mater. 4 293 297 10.1038/nmat1342 (Pubitemid 40450208)
10. A.I. Teixeira G.A. Abrams P.J. Bertics C.J. Murphy P.F. Nealey 2003 Epithelial contact guidance on well-defined micro- and nanostructured substrates J. Cell Sci. 116 1881 1892 10.1242/jcs.00383 (Pubitemid 36622287)
11. W.S. Huck 2005 Hierarchical wrinkling Nat. Mater. 4 271 272 10.1038/nmat1356
12. M.W. Moon S.H. Lee J.Y. Sun, et al. 2007 Wrinkled hard skins on polymers created by focused ion beam Proc. Natl. Aca. Sci. USA 104 1130 1133 10.1073/pnas.0610654104 (Pubitemid 46188238)
13. C.M. Stafford C. Harrison K. Beers, et al. 2004 A buckling-based metrology for measuring the elastic moduli of polymeric thin films Nat. Mater. 3 545 550 10.1038/nmat1175
14. E. Cerda L. Mahadevan 2003 Geometry and physics of wrinkling Phys. Rev. Lett. 90 074302 10.1103/PhysRevLett.90.074302
15. J. Genzer J. Groenewold 2006 Soft matter with hard skin: from skin wrinkles to templating and material characterization Soft Matter 2 310 323 10.1039/b516741h
16. X. Chen J.W. Hutchinson 2004 Herringbone buckling patterns of compressed thin films on compliant substrates J. Appl. Mech. 71 597 603 1111.74362 10.1115/1.1756141 (Pubitemid 40122552)
17. Z.Y. Huang W. Hong Z. Suo 2005 Nonlinear analyses of wrinkles in a film bonded to a compliant substrate J. Mech. Phys. Solids 53 2101 2118 1176.74116 10.1016/j.jmps.2005.03.007 2154221 (Pubitemid 40952693)
18. R. Huang 2005 Kinetic wrinkling of an elastic film on a viscoelastic substrate J. Mech. Phys. Solids 53 63 89 1134.74387 10.1016/j.jmps.2004.06.007 2106397
19. J. Song H. Jiang Z.J. Liu, et al. 2008 Buckling of a stiff thin film on a compliant substrate in large deformation Int. J. Solids Stuct. 45 3107 3121 1169.74410 10.1016/j.ijsolstr.2008.01.023
20. H. Jiang Y. Sun J.A. Rogers Y. Huang 2008 Post-buckling analysis for the precisely controlled buckling of thin film encapsulated by elastomeric substrates Int. J. Solids Struct. 45 2014 2023 05374678 10.1016/j.ijsolstr.2007. 11.007
21. H. Jiang D.Y. Khang H. Fei, et al. 2008 Finite width effect of thin-films buckling on compliant substrate: experimental and theoretical studies J. Mech. Phys. Solids 56 2585 2598 1171.74353 10.1016/j.jmps.2008.03.005 2437519
22. S.Q. Huang X.Q. Feng 2008 Spinodal surface instability of soft elastic thin films Acta Mech. Sinica 24 289 296 10.1007/s10409-008-0138-1 2407347
23. X.H. Pan S.Q. Huang S.W. Yu X.Q. Feng 2009 Interfacial slippage effect on the surface instability of a thin elastic film under van der Waals force J. Phys. D: Appl. Phys. 42 055302 10.1088/0022-3727/42/5/055302
24. Plantema F.J.: Sandwich Construction. Wiley, New York (1966)
25. Allen H.G.: Analysis and Design of Structural Sandwich Panels. Pergamon, Oxford (1969)
26. Zenkert D.: An Introduction to Sandwich Construction. Chameleon, London (1995)
27. M.A. Biot 1957 Folding instability of a layered viscoelastic medium under compression Proc. R. Soc. Lond. A 242 444 454 0125.13602 10.1098/rspa.1957.0187 92454
28. Y.C. Wong P.G. Hoadley 1971 Face wrinkling of sandwich plates and cylinders J. Eng. Mech. 97 1071 1081
29. E.E. Gdoutos I.M. Daniel K.A. Wang 2003 Compression facing wrinkling of composite sandwich structures Mech. Mater. 35 511 522 10.1016/S0167-6636(02) 00267-3
30. L. Fagerberg D. Zenkert 2005 Effects of anisotropy and multiaxial loading on the wrinkling of sandwich panels J. Sandw. Struct. Mater. 7 177 194 10.1177/109963205048525 (Pubitemid 40645157)
31. A.V. Lopatin E.V. Morozov 2008 Symmetrical facing wrinkling of composite sandwich panels J. Sandw. Struct. Mater. 10 475 497 10.1177/1099636208097196
32. P.J. Yoo K.Y. Suh Y. Park H.H. Lee 2002 Physical self-assembly of microstructures by anisotropic buckling Adv. Mater. 14 1383 1387 10.1002/1521-4095(20021002)14:19<1383::AID-ADMA1383>3.0.CO;2-D (Pubitemid 35262802)
33. B. Audoly A. Boudaoud 2008 Buckling of a stiff film bound to a compliant substrate-Part I: formulation, linear stability of cylindrical patterns, secondary bifurcations J. Mech. Phys. Solids 56 2401 2421 1171.74349 10.1016/j.jmps.2008.03.003 2419050
34. B. Audoly A. Boudaoud 2008 Buckling of a stiff film bound to a compliant substrate-Part II: a global scenario for the formation of herringbone pattern J. Mech. Phys. Solids 56 2422 2443 1171.74350 10.1016/j.jmps.2008.03.002 2419051
35. B. Audoly A. Boudaoud 2008 Buckling of a stiff film bound to a compliant substrate-Part III: herringbone solutions at large buckling parameter J. Mech. Phys. Solids 56 2444 2458 1171.74351 10.1016/j.jmps.2008.03.001 2419052
36. S.Q. Huang B. Li X.Q. Feng 2008 Three-dimensional analysis of spontaneous surface instability and pattern formation of thin soft films J. Appl. Phys. 103 083501 10.1063/1.2903892 (Pubitemid 351623523)
37. Landau L.D., Lifshitz E.M.: Theory of Elasticity. Pergamon, London (1970)
38. W. Lu Z. Suo 2001 Dynamics of nanoscale pattern formation of an epitaxial monolayer J. Mech. Phys. Solids 49 1937 1950 0998.74006 10.1016/S0022-5096(01) 00023-0
39. W. Lu Z. Suo 2002 Symmetry breaking in self-assembled monolayers on solid surfaces: anisotropic surface stress Phys. Rev. B 65 085401 10.1103/PhysRevB.65.085401
40. R. Huang C.M. Stafford B.D. Vogt 2007 Effect of surface properties on wrinkling of ultrathin films J. Aerosp. Eng. 20 38 44 10.1061/(ASCE)0893- 1321(2007)20:1(38) (Pubitemid 44975014)
41. J.W. Cahn 1980 Surface stress and the chemical-equilibrium of small crystals. I: the case of the isotropic surface Acta Metall. 28 1333 1338 10.1016/0001-6160(80)90002-4 (Pubitemid 11442489)
42. S.Q. Huang Q.Y. Li X.Q. Feng S.W. Yu 2006 Pattern instability of a soft elastic thin film under van der Waals forces Mech. Mater. 38 88 99 10.1016/j.mechmat.2005.05.012
43. R.C. Cammarta 1994 Surface and interface stress effects in thin films Prog. Surf. Sci. 46 1 38 10.1016/0079-6816(94)90005-1
44. H. Ibach 1997 The role of surface stress in reconstruction, epitaxial growth and stabilization of mesoscopic structures Surf. Sci. Rep. 29 193 263 10.1016/S0167-5729(97)00010-1
45. J. Song H. Jiang W.M. Choi, et al. 2008 An analytical study of two-dimensional buckling of thin films on compliant substrates J. Appl. Phys. 103 014303 10.1063/1.2828050