Buckling of stiff thin films on compliant substrates enables many new applications, such as stretchable electronics. Song et al. [2008, “Buckling of a Stiff Thin Film on a Compliant Substrate in Large Deformation,” Int. J. Solids Struct., 45(10), pp. 3107–3121] developed a finite deformation theory to explain the buckled amplitude and wavelength very well. This theory not only accounts for finite geometry change, but also the finite strain and a nonlinear constitutive model for the substrate. To provide a better physical insight, this paper investigates those three effects, and shows that finite geometry change dominates in the finite deformation theory and the simplified analysis leads to results that agree well with experiments and the finite element method.
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References
1.
Bowden
, N.
, Brittain
, S.
, Evans
, A. G.
, Hutchinson
, J. W.
, and Whitesides
, G. M.
, 1998
, “Spontaneous Formation of Ordered Structures in Thin Films of Metals Supported on an Elastomeric Polymer
,” Nature
, 393
(6681
), pp. 146
–149
.10.1038/301932.
Wang
, Y.
, Feng
, X.
, Lu
, B.
, and Wang
, G.
, 2013
, “Surface Effects on the Mechanical Behavior of Buckled Thin Film
,” ASME J. Appl. Mech.
, 80
(2
), p. 021002
.10.1115/1.40076813.
Chen
, C.
, Tao
, W.
, Su
, Y.
, Wu
, J.
, and Song
, J.
, 2013
, “Lateral Buckling of Interconnects in a Noncoplanar Mesh Design for Stretchable Electronics
,” ASME J. Appl. Mech.
, 80
(4
), p. 041031
.10.1115/1.40230364.
Ko
, H. C.
, Stoykovich
, M. P.
, Song
, J. Z.
, Malyarchuk
, V.
, Choi
, W. M.
, Yu
, C. J.
, Geddes
, J. B.
, Xiao
, J. L.
, Wang
, S. D.
, Huang
, Y. G.
, and Rogers
, J. A.
, 2008
, “A Hemispherical Electronic Eye Camera Based on Compressible Silicon Optoelectronics
,” Nature
, 454
(7205
), pp. 748
–753
.10.1038/nature071135.
Kim
, R. H.
, Bae
, M. H.
, Kim
, D. G.
, Cheng
, H.
, Kim
, B. H.
, Kim
, D. H.
, Li
, M.
, Wu
, J.
, Du
, F.
, Kim
, H. S.
, Kim
, S.
, Estrada
, D.
, Hong
, S. W.
, Huang
, Y.
, Pop
, E.
, and Rogers
, J.
, 2011
, “Stretchable, Transparent Graphene Interconnects for Arrays of Microscale Inorganic Light Emitting Diodes on Rubber Substrates
,” Nano Lett.
, 11
(9
), pp. 3881
–3886
.10.1021/nl202000u6.
Kim
, D.-H.
, Lu
, N.
, Ma
, R.
, Kim
, Y.-S.
, Kim
, R.-H.
, Wang
, S.
, Wu
, J.
, Won
, S. M.
, Tao
, H.
, Islam
, A.
, Yu
, K. J.
, Kim
, T.-I.
, Chowdhury
, R.
, Ying
, M.
, Xu
, L.
, Li
, M.
, Chung
, H.-J.
, Keum
, H.
, Mccormick
, M.
, Liu
, P.
, Zhang
, Y.-W.
, Omenetto
, F. G.
Huang
, Y.
Coleman
, T.
, and Rogers
, J. A.
, 2011
, “Epidermal Electronics
,” Science
, 333
(6044
), pp. 838
–843
.10.1126/science.12061577.
Song
, J.
, Jiang
, H.
, Liu
, Z. J.
, Khang
, D. Y.
, Huang
, Y.
, Rogers
, J. A.
, Lu
, C.
, and Koh
, C. G.
, 2008
, “Buckling of a Stiff Thin Film on a Compliant Substrate in Large Deformation
,” Int. J. Solids Struct.
, 45
(10
), pp. 3107
–3121
.10.1016/j.ijsolstr.2008.01.0238.
Jiang
, H. Q.
, Khang
, D. Y.
, Song
, J. Z.
, Sun
, Y. G.
, Huang
, Y. G.
, and Rogers
, J. A.
, 2007
, “Finite Deformation Mechanics in Buckled Thin Films on Compliant Supports
,” Proc. Natl. Acad. Sci. USA
, 104
, pp. 15607
–15612
.10.1073/pnas.07029271049.
Yang
, S. Y.
, Carlson
, A.
, Cheng
, H.
, Yu
, Q.
, Ahmed
, N.
, Wu
, J.
, Kim
, S.
, Sitti
, M.
, Ferreira
, P. M.
, Huang
, Y.
, and Rogers
, J. A.
, 2012
, “Elastomer Surfaces With Directionally Dependent Adhesion Strength and Their Use in Transfer Printing With Continuous Roll-to-Roll Applications
,” Adv. Mater.
, 24
, pp. 2117
–2122
.10.1002/adma.20110497510.
Kim
, S.
, Carlson
, A.
, Cheng
, H.
, Lee
, S.
, Park
, J.-K.
, Huang
, Y.
, and Rogers
, J. A.
, 2012
, “Enhanced Adhesion With Pedestal-Shaped Elastomeric Stamps for Transfer Printing
,” Appl. Phys. Lett.
, 100
(17
), pp. 171909
.10.1063/1.470625711.
Cheng
, H.
, Wu
, J.
, Yu
, Q.
, Kim-Lee
, H.-J.
, Carlson
, A.
, Turner
, K. T.
, Hwang
, K.-C.
, Huang
, Y.
, and Rogers
, J. A.
, 2012
, “An Analytical Model for Shear-Enhanced Adhesiveless Transfer Printing
,” Mech. Res. Commun.
, 43
, pp. 46
–49
.10.1016/j.mechrescom.2012.02.01112.
Huang
, Z.
, Hong
, W.
, and Suo
, Z.
, 2005
, “Nonlinear Analyses of Wrinkles in a Film Bonded to a Compliant Substrate
,” J. Mech. Phys. Solids
, 53
(9
), pp. 2101
–2118
.10.1016/j.jmps.2005.03.00713.
Jiang
, H. Q.
, Sun
, Y. G.
, Rogers
, J. A.
, and Huang
, Y. G.
, 2008
, “Post-Buckling Analysis for the Precisely Controlled Buckling of Thin Film Encapsulated by Elastomeric Substrates
,” Int. J. Solids Struct.
, 45
(7–8
), pp. 2014
–2023
.10.1016/j.ijsolstr.2007.11.007Copyright © 2014 by ASME
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