The analytical solution is obtained for a semi-infinite linear elastic solid with a sinusoidal, “wavy” surface profile subject to applied strain. The amplitude of a deformed wavy surface is related to the initial amplitude and the applied strain through the simple expression . This relation is confirmed independently by finite element analyses and experimental measurements of strained wavy poly(dimethylsiloxane) surfaces. Analytical solutions are also obtained for a wavy solid subject to stretch and lateral displacement.
Issue Section:
Research Papers
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Rogers
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,” Nature (London)
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Someya
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Lacour
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, Wagner
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, Huang
, Z. Y.
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Lacour
, S. P.
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Lacour
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, Z. G.
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,” Proc. IEEE
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, pp. 1459
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Khang
, D. Y.
, Jiang
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, J. A.
, 2006, “A Stretchable Form of Single-Crystal Silicon for High-Performance Electronics on Rubber Substrates
,” Science
0036-8075, 311
, pp. 208
–212
.9.
Kim
, D. -H.
, Ahn
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, Choi
, W. M.
, Kim
, H. -S.
, Kim
, T. -H.
, Song
, J.
, Huang
, Y. Y.
, Liu
, Z. J.
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, J. A.
, 2008, “Stretchable and Foldable Silicon Integrated Circuits
,” Science
0036-8075, 320
, pp. 507
–511
.10.
Choi
, W. M.
, Song
, J.
, Khang
, D. -Y.
, Jiang
, H.
, Huang
, Y. Y.
, and Rogers
, J. A.
, 2007, “Biaxially Stretchable “Wavy” Silicon Nanomembranes
,” Nano Lett.
1530-6984, 7
, pp. 1655
–1663
.11.
Sun
, Y.
, Choi
, W. -M.
, Jiang
, H.
, Huang
, Y.
, and Rogers
, J. A.
, 2006, “Controlled Buckling of Semiconductor Nanoribbons for Stretchable Electronics
,” Nat. Nanotechnol.
1748-3387, 1
, pp. 201
–207
.12.
Stafford
, C. M.
, Harrison
, C.
, Beers
, K. L.
, Karim
, A.
, Amis
, E. J.
, Vanlandingham
, M. R.
, Kim
, H. C.
, Volksen
, W.
, Miller
, R. D.
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, 2004, “A Buckling-Based Metrology for Measuring the Elastic Moduli of Polymeric Thin Films
,” Nature Mater.
1476-1122, 3
, pp. 545
–550
.13.
Stafford
, C. M.
, Vogt
, B. D.
, Harrison
, C.
, Julthongpiput
, D.
, and Huang
, R.
, 2006, “Elastic Moduli of Ultrathin Amorphous Polymer Films
,” Macromolecules
0024-9297, 39
, pp. 5095
–5099
.14.
Harrison
, C.
, Stafford
, C. M.
, Zhang
, W. H.
, and Karim
, A.
, 2004, “Sinusoidal Phase Grating Created by a Tunably Buckled Surface
,” Appl. Phys. Lett.
0003-6951, 85
, pp. 4016
–4018
.15.
Efimenko
, K.
, Rackaitis
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, Manias
, E.
, Vaziri
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, Mahadevan
, L.
, and Genzer
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,” Nature Mater.
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, pp. 293
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, A. G.
, Hutchinson
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,” Nature (London)
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, pp. 146
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Huck
, W. T. S.
, Bowden
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, and Whitesides
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,” Langmuir
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Sharp
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,” Adv. Mater.
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Yoo
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,” ASME J. Appl. Mech.
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, pp. 597
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Huang
, Z. Y.
, Hong
, W.
, and Suo
, Z.
, 2005, “Nonlinear Analyses of Wrinkles in a Film Bonded to a Compliant Substrate
,” J. Mech. Phys. Solids
0022-5096, 53
, pp. 2101
–2118
.22.
Jiang
, H.
, Khang
, D. -Y.
, Song
, J.
, Sun
, Y.
, Huang
, Y.
, and Rogers
, J. A.
, 2007, “Finite Deformation Mechanics in Buckled Thin Films on Compliant Supports
,” Proc. Natl. Acad. Sci. U.S.A.
0027-8424, 104
, pp. 15607
–15612
.23.
Jiang
, H.
, Sun
, Y.
, Rogers
, J. A.
, and Huang
, Y.
, 2007, “Mechanics of Precisely Controlled Thin Film Buckling on Elastomeric Substrate
,” Appl. Phys. Lett.
0003-6951, 90
, pp. 133119
.24.
Koh
, C. T.
, Liu
, Z. J.
, Khang
, D. -Y.
, Song
, J.
, Lu
, C.
, Huang
, Y.
, Rogers
, J. A.
, and Koh
, C. G.
, 2007, “Edge Effects in Buckled Thin Films on Elastomeric Substrates
,” Appl. Phys. Lett.
0003-6951, 91
, pp. 133113
.25.
Huang
, R.
, 2005, “Kinetic Wrinkling of an Elastic Film on a Viscoelastic Substrate
,” J. Mech. Phys. Solids
0022-5096, 53
, pp. 63
–89
.26.
Huang
, R.
, and Suo
, Z.
, 2002, “Instability of a Compressed Elastic Film on a Viscous Layer
,” Int. J. Solids Struct.
0020-7683, 39
, pp. 1791
–1802
.27.
Xiao
, J.
, Carlson
, A.
, Liu
, Z. J.
, Huang
, Y.
, Jiang
, H.
, and Rogers
, J. A.
, 2008, “Stretchable and Compressible Thin Films of Stiff Materials on Compliant Wavy Substrates
,” Appl. Phys. Lett.
0003-6951, 93
, p. 013109
.28.
Schneider
, F.
, Fellner
, T.
, Wilde
, J.
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,” J. Micromech. Microeng.
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, pp. 065008
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ABAQUS Inc.
, 2004, ABAQUS Analysis User’s Manual V6.5.Copyright © 2010
by American Society of Mechanical Engineers
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