The multi-layer beam consisted of materials with extremely different elastic properties, such as silicon and Polydimethylsiloxane (PDMS), has many important applications. The Kirchhoff assumption that the straight lines normal to the midsurface remain normal after deformation does not hold any more. The energy method is used to establish a simple analytic model for multi-layered structures with extremely different elastic properties. The analytic model is validated by finite element analysis.
Issue Section:
Technical Brief
References
1.
Rogers
, J. A.
, Someya
, T.
, and Huang
, Y. G.
, 2010
, “Materials and Mechanics for Stretchable Electronics
,” Science
, 327
(5973
), pp. 1603
–1607
.10.1126/science.11823832.
Kim
, D. H.
, Lu
, N. S.
, Huang
, Y. G.
, and Rogers
, J. A.
, 2012
, “Materials for Stretchable Electronics in Bioinspired and Biointegrated Devices
,” MRS Bull.
, 37
(3
), pp. 226
–235
.10.1557/mrs.2012.363.
Kim
, D. H.
, Xiao
, J.
, Song
, J.
, Huang
, Y. G.
, and Rogers
, J. A.
, 2010
, “Stretchable, Curvilinear Electronics Based on Inorganic Materials
,” Adv. Mater.
, 22
(19
), pp. 2108
–2124
.10.1002/adma.2009029274.
Kim
, K. S.
, Zhao
, Y.
, Jang
, H.
, Lee
, S. Y.
, Kim
, J. M.
, Kim
, K. S.
, Ahn
, J. H.
, Kim
, P.
, Choi
, J. Y.
, and Hong
, B. H.
, 2009
, “Large-Scale Pattern Growth of Graphene Films for Stretchable Transparent Electrodes
,” Nature
, 457
(7230
), pp. 706
–710
.10.1038/nature077195.
Song
, Y. M.
, Xie
, Y.
, Malyarchuk
, V.
, Xiao
, J.
, Jung
, I.
, Choi
, K. J.
, Liu
, Z.
, Park
, H.
, Lu
, C.
, Kim
, R. H.
, Li
, R.
, Crozier
, K. B.
, Huang
, Y. G.
, and Rogers
, J. A.
, 2013
, “Digital Cameras With Designs Inspired by the Arthropod Eye
,” Nature
, 497
(7447
), pp. 95
–99
.10.1038/nature120836.
Kim
, D. H.
, Lu
, N. S.
, Ma
, R.
, Kim
, Y. S.
, Kim
, R. H.
, Wang
, S. D.
, Wu
, J.
, Won
, S. M.
, Tao
, H.
, Islam
, A.
, Yu
, K. J.
, Kim
, T. I.
, Chowdhury
, R.
, Ying
, M.
, Xu
, L. Z.
, Li
, M.
, Chung
, H. J.
, Keum
, H.
, McCormick
, M.
, Liu
, P.
, Zhang
, Y. W.
, Omenetto
, F. G.
, Huang
, Y. G.
, Coleman
, T.
, and Rogers
, J. A.
, 2011
, “Epidermal Electronics
,” Science
, 333
(6044
), pp. 838
–843
.10.1126/science.12061577.
Kaltenbrunner
, M.
, Sekitani
, T.
, Reeder
, J.
, Yokota
, T.
, Kuribara
, K.
, Tokuhara
, T.
, Drack
, M.
, Schwodiauer
, R.
, Graz
, I.
, Bauer-Gogonea
, S.
, Bauer
, S.
, and Someya
, T.
, 2013
, “An Ultra-Lightweight Design for Imperceptible Plastic Electronics
,” Nature
, 499
(7459
), pp. 458
–463
.10.1038/nature123148.
Kaltenbrunner
, M.
, White
, M. S.
, Glowacki
, E. D.
, Sekitani
, T.
, Someya
, T.
, Sariciftci
, N. S.
, and Bauer
, S.
, 2012
, “Ultrathin and Lightweight Organic Solar Cells With High Flexibility
,” Nat. Commun.
, 3
, p. 770.10.1038/ncomms17729.
Timoshenko
, S.
, 1930
, Strength of Materials
, van Nostrand Company
, New York
.10.
Li
, L.
, Lin
, H.
, Qiao
, S.
, Zou
, Y.
, Danto
, S.
, Richardson
, K.
, Musgraves
, J. D.
, Lu
, N. S.
, and Hu
, J.
, 2014
, “3D Integrated Flexible Glass Photonics
,” Nat. Photonics (in press).Copyright © 2014 by ASME
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