The existing regular hexagonal cellular substrate for stretchable electronics minimizes the disruptions to the natural diffusive or convective flow of bio-fluids. Its anisotropy is insignificant, which is not ideal for mounting on skins that involve directional stretching. This paper proposes an irregular hexagonal cellular substrate with large anisotropy to minimize the constraints on the natural motion of the skin, and establishes an analytic model to study its stress–strain relation under finite stretching.
Issue Section:
Technical Brief
References
1.
Kim
, H. J.
, Thukral
, A.
, and Yu
, C. J.
, 2018
, “Highly Sensitive and Very Stretchable Strain Sensor Based on a Rubbery Semiconductor
,” ACS Appl. Mater. Interfaces
, 10
(5
), pp. 5000
–5006
.2.
Tao
, L. Q.
, Tian
, H.
, Liu
, Y.
, Ju
, Z. Y.
, Pang
, Y.
, Chen
, Y. Q.
, Wang
, D. Y.
, Tian
, X. G.
, Yan
, J. C.
, Deng
, N. Q.
, Yang
, Y.
, and Ren
, T. L.
, 2017
, “An Intelligent Artificial Throat With Sound-Sensing Ability Based on Laser Induced Graphene
,” Nat. Commun.
, 8
, p. 14579
.3.
Kim
, Y.
, Chortos
, A.
, Xu
, W. T.
, Liu
, Y. X.
, Oh
, J. Y.
, Son
, D.
, Kang
, J.
, Foudeh
, A. M.
, Zhu
, C. X.
, Lee
, Y.
, Niu
, S. M.
, Liu
, J.
, Pfattner
, R.
, Bao
, Z. N.
, and Lee
, T. W.
, 2018
, “A Bioinspired Flexible Organic Artificial Afferent Nerve
,” Science
, 360
(6392
), pp. 998
–1003
.4.
Khang
, D. Y.
, Jiang
, H. Q.
, Huang
, Y.
, and Rogers
, J. A.
, 2006
, “A Stretchable Form of Single-Crystal Silicon for High-Performance Electronics on Rubber Substrates
,” Science
, 311
(5758
), pp. 208
–212
.5.
Avila
, R.
, and Xue
, Y.
, 2017
, “Torsional Buckling by Joining Prestrained and Unstrained Elastomeric Strips With Application as Bilinear Elastic Spring
,” ASME J. Appl. Mech.
, 84
(10
), p. 104502
.6.
Zhang
, P.
, and Parnell
, W.
, 2017
, “Band Gap Formation and Tunability in Stretchable Serpentine Interconnects
,” ASME J. Appl. Mech.
, 84
(9
), p. 091007
.7.
Zhang
, Y. H.
, Huang
, Y. G.
, and Rogers
, J. A.
, 2015
, “Mechanics of Stretchable Batteries and Supercapacitors
,” Curr. Opin. Solid State Mater. Sci.
, 19
(3
), pp. 190
–199
.8.
Wang
, A.
, Avila
, R.
, and Ma
, Y.
, 2017
, “Mechanics Design for Buckling of Thin Ribbons on an Elastomeric Substrate Without Material Failure
,” ASME J. Appl. Mech.
, 84
(9
), p. 094501
.9.
Zhang
, M. Y.
, Liu
, H.
, Cao
, P.
, Chen
, B.
, Hu
, J. Q.
, Chen
, Y. L.
, Pan
, B.
, Fan
, J. A.
, Li
, R.
, Zhang
, L. J.
, and Su
, Y. W.
, 2017
, “Strain-Limiting Substrates Based on Nonbuckling, Prestrain-Free Mechanics for Robust Stretchable Electronics
,” ASME J. Appl. Mech.
, 84
(12
), p. 121010. 10.
Ma
, Y.
, Choi
, J.
, Hourlier-Fargette
, A.
, Xue
, Y.
, Chung
, H.
, Lee
, J.
, Wang
, X.
, Xie
, Z.
, Kang
, D.
, Wang
, H.
, Han
, S.
, Kang
, S.
, Kang
, Y.
, Yu
, X.
, Slepian
, M.
, Raj
, M.
, Model
, J.
, Feng
, X.
, Ghaffari
, R.
, Rogers
, J.
, and Huang
, Y.
, 2018, “Relation Between Blood Pressure and Pulse Wave Velocity for Human Arteries
,” Proc. Natl. Acad. Sci. U.S.A.
, 115
(44), pp. 11144–11149.11.
Yang
, S. X.
, Qiao
, S. T.
, and Lu
, N. S.
, 2017
, “Elasticity Solutions to Nonbuckling Serpentine Ribbons
,” ASME J. Appl. Mech.
, 84
(2
), p. 021004.12.
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
.13.
Ameri
, S. K.
, Ho
, R.
, Jang
, H. W.
, Tao
, L.
, Wang
, Y. H.
, Wang
, L.
, Schnyer
, D. M.
, Akinwande
, D.
, and Lu
, N. S.
, 2017
, “Graphene Electronic Tattoo Sensors
,” ACS Nano
, 11
(8
), pp. 7634
–7641
.14.
Li
, Y. H.
, Zhang
, J. P.
, Xing
, Y. F.
, and Song
, J. Z.
, 2017
, “Thermomechanical Analysis of Epidermal Electronic Devices Integrated With Human Skin
,” ASME J. Appl. Mech.
, 84
(11
), p. 111004.15.
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
.16.
Xu
, L. Z.
, Gutbrod
, S. R.
, Ma
, Y. J.
, Petrossians
, A.
, Liu
, Y. H.
, Webb
, R. C.
, Fan
, J. A.
, Yang
, Z. J.
, Xu
, R. X.
, Whalen
, J. J.
, Weiland
, J. D.
, Huang
, Y. G.
, Efimov
, I. R.
, and Rogers
, J. A.
, 2015
, “Materials and Fractal Designs for 3D Multifunctional Integumentary Membranes With Capabilities in Cardiac Electrotherapy
,” Adv. Mater.
, 27
(10
), pp. 1731
–1737
.17.
Kang
, S. K.
, Murphy
, R. K. J.
, Hwang
, S. W.
, Lee
, S. M.
, Harburg
, D. V.
, Krueger
, N. A.
, Shin
, J. H.
, Gamble
, P.
, Cheng
, H. Y.
, Yu
, S.
, Liu
, Z. J.
, McCall
, J. G.
, Stephen
, M.
, Ying
, H. Z.
, Kim
, J.
, Park
, G.
, Webb
, R. C.
, Lee
, C. H.
, Chung
, S. J.
, Wie
, D. S.
, Gujar
, A. D.
, Vemulapalli
, B.
, Kim
, A. H.
, Lee
, K. M.
, Cheng
, J. J.
, Huang
, Y. G.
, Lee
, S. H.
, Braun
, P. V.
, Ray
, W. Z.
, and Rogers
, J. A.
, 2016
, “Bioresorbable Silicon Electronic Sensors for the Brain
,” Nature
, 530
(7588
), pp. 71
–76
.18.
Lee
, Y. K.
, Jang
, K. I.
, Ma
, Y. J.
, Koh
, A.
, Chen
, H.
, Jung
, H. N.
, Kim
, Y.
, Kwak
, J. W.
, Wang
, L.
, Xue
, Y. G.
, Yang
, Y. Y.
, Tian
, W. L.
, Jiang
, Y.
, Zhang
, Y. H.
, Feng
, X.
, Huang
, Y. G.
, and Rogers
, J. A.
, 2017
, “Chemical Sensing Systems That Utilize Soft Electronics on Thin Elastomeric Substrates With Open Cellular Designs
,” Adv. Funct. Mater.
, 27
(9
), p. 1605476
.19.
Chen
, H.
, Zhu
, F.
, Jang
, K. I.
, Feng
, X.
, Rogers
, J. A.
, Zhang
, Y. H.
, Huang
, Y. G.
, and Ma
, Y. J.
, 2018
, “The Equivalent Medium of Cellular Substrate Under Large Stretching, With Applications to Stretchable Electronics
,” J. Mech. Phys. Solids
, 120
, pp. 199
–207
.20.
Zhu
, F.
, Xiao
, H.
, Xue
, Y.
, Feng
, X.
, Huang
, Y.
, and Ma
, Y.
, 2018
, “Anisotropic Mechanics of Cellular Substrate Under Finite Deformation
,” ASME J. Appl. Mech.
, 85
(7
), p. 071007
.21.
Kothari
, K.
, Hu
, Y. H.
, Gupta
, S.
, and Elbanna
, A.
, 2018
, “Mechanical Response of Two-Dimensional Polymer Networks: Role of Topology, Rate Dependence, and Damage Accumulation
,” ASME J. Appl. Mech.
, 85
(3
), p. 031008.22.
Petrikovsky
, B. M.
, Kaplan
, G.
, and Holsten
, N.
, 2003
, “Eyelid Movements in Normal Human Fetuses
,” J. Clin. Ultrasound
, 31
(6
), pp. 299
–301
.23.
Gibson
, L. J.
, and Ashby
, M. F.
, 1997
, Cellular Solids: Structure and Properties
, Cambridge University Press
, Cambridge, UK.24.
Gibson
, L. J.
, Ashby
, M. F.
, and Schajer
, G. S.
, 1982
, “The Mechanics of Two-Dimensional Cellular Materials
,” Proc. R. Soc. London, Ser. A
, 382
(1782
), pp. 25
–42
.25.
Wang
, S. D.
, Li
, M.
, Wu
, J.
, Kim
, D. H.
, Lu
, N. S.
, Su
, Y. W.
, Kang
, Z.
, Huang
, Y. G.
, and Rogers
, J. A.
, 2012
, “Mechanics of Epidermal Electronics
,” ASME J. Appl. Mech.
, 79
(3
), p. 031022.26.
Lee
, C. H.
, Ma
, Y. J.
, Jang
, K. I.
, Banks
, A.
, Pan
, T.
, Feng
, X.
, Kim
, J. S.
, Kang
, D.
, Raj
, M. S.
, McGrane
, B. L.
, Morey
, B.
, Wang
, X. Y.
, Ghaffari
, R.
, Huang
, Y. G.
, and Rogers
, J. A.
, 2015
, “Soft Core/Shell Packages for Stretchable Electronics
,” Adv. Funct. Mater.
, 25
(24
), pp. 3698
–3704
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