Abstract

Serpentine interconnects on soft elastomers have been widely used to develop high-performance stretchable electronics. A number of applications demand the system to sustain repetitive loadings, which lead to fatigue failure of serpentine interconnects. In this paper, the fatigue behavior of serpentine interconnects on an elastomeric substrate is investigated experimentally and theoretically. It is shown that the fatigue failure of serpentine interconnects is governed by the failure of the encapsulation layer with the fatigue life determined by the strain level. A fatigue life prediction model, validated by experiments, based on the fatigue modulus concept is established to predict the fatigue life of serpentine interconnects. These results provide physical insights into the fatigue failure of serpentine interconnects and paves the theoretical foundation to predict the fatigue life, thus to study the reliability of stretchable electronics.

References

1.
Carlson
,
A.
,
Bowen
,
A. M.
,
Huang
,
Y.
,
Nuzzo
,
R. G.
, and
Rogers
,
J. A.
,
2012
, “
Transfer Printing Techniques for Materials Assembly and Micro/Nanodevice Fabrication
,”
Adv. Mater.
,
24
(
39
), pp.
5284
5318
. 10.1002/adma.201201386
2.
Linghu
,
C.
,
Zhang
,
S.
,
Wang
,
C.
, and
Song
,
J.
,
2018
, “
Transfer Printing Techniques for Flexible and Stretchable Inorganic Electronics
,”
npj Flexible Electr.
,
2
, p.
26
. 10.1038/s41528-018-0037-x
3.
Huang
,
Y.
,
Wu
,
H.
,
Xiao
,
L.
,
Duan
,
Y.
,
Zhu
,
H.
,
Bian
,
J.
,
Ye
,
D.
, and
Yin
,
Z.
,
2019
, “
Assembly and Application of 3D Conformal Electronics on Curvilinear Surfaces
,”
Mater. Horizons.
,
6
(4), pp.
642
683
. 10.1039/C8MH01450G
4.
Linghu
,
C.
,
Wang
,
C.
,
Cen
,
N.
,
Wu
,
J.
,
Lai
,
Z.
, and
Song
,
J.
,
2019
, “
Rapidly Tunable and Highly Reversible Bio-Inspired Dry Adhesion for Transfer Printing in Air and a Vancuum
,”
Soft Matter
,
15
(
1
), pp.
30
37
. 10.1039/C8SM01996G
5.
Luo
,
H.
,
Wang
,
C.
,
Linghu
,
C.
,
Yu
,
K.
,
Wang
,
C.
, and
Song
,
J.
,
2019
, “
Laser-Driven Programmable Non-Contact Transfer Printing of Objects Onto Arbitray Receivers via an Active Elastomeric Micro-Structured Stamp
,”
Nat. Sci. Rev.
10.1093/nsr/nwz109
6.
Kim
,
D. H.
,
Ahn
,
J. H.
,
Choi
,
W. M.
,
Kim
,
H. S.
,
Song
,
J.
,
Huang
,
Y.
,
Liu
,
Z.
,
Lu
,
C.
, and
Rogers
,
J. A.
,
2008
, “
Stretchable and Foldable Silicon Integrated Circuits
,”
Science
,
320
(
5875
), pp.
507
511
. 10.1126/science.1154367
7.
Song
,
J.
,
Jiang
,
H.
,
Liu
,
Z. J.
,
Khang
,
D. Y.
,
Huang
,
Y.
, and
Rogers
,
J. A.
, “
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.2008.01.023
8.
Lacour
,
S. P.
,
Jones
,
J.
,
Wangner
,
S.
,
Li
,
T.
, and
Suo
,
Z.
,
2005
, “
Stretchable Interconnects for Elastic Electronics Surfaces
,”
Proc. IEEE
,
93
(
8
), pp.
1459
1467
. 10.1109/JPROC.2005.851502
9.
Song
,
J.
,
Feng
,
X.
, and
Huang
,
Y.
,
2016
, “
Mechanics and Thermal Management of Stretchable Inorganic Electronics
,”
Natl. Sci. Rev.
,
3
(
1
), pp.
128
143
. 10.1093/nsr/nwv078
10.
Zhang
,
Y.
,
Huang
,
Y.
, and
Rogers
,
J. A.
,
2015
, “
Mechanics of Stretchable Batteries and Supercapacitiors
,”
Curr. Opin. Solid State Mater. Sci.
,
19
(
3
), pp.
190
199
. 10.1016/j.cossms.2015.01.002
11.
Romeo
,
A.
,
Liu
,
Q.
,
Suo
,
Z.
, and
Lacour
,
S. P.
,
2013
, “
Elastomeric Substrates With Embedded Stiff Platforms for Stretchable Electronics
,”
Appl. Phys. Lett.
,
102
(
13
), p.
131904
. 10.1063/1.4799653
12.
Ma
,
Y.
,
Pharr
,
M.
,
Wang
,
L.
,
Kim
,
J.
,
Liu
,
Y.
,
Xue
,
Y.
,
Ning
,
R.
,
Wang
,
X.
,
Chung
,
H. U.
,
Feng
,
X.
,
Rogers
,
J. A.
, and
Huang
,
Y.
,
2017
, “
Soft Elastomers With Ionic Liquid-Filed Cavities as Strain Isolation Substrates for Wearable Electronics
,”
Small
,
13
(
9
), p.
1602954
. 10.1002/smll.201602954
13.
Cao
,
Y.
,
Zhang
,
G.
,
Zhang
,
Y.
,
Yue
,
M.
,
Chen
,
Y.
,
Cai
,
S.
,
Xie
,
T.
, and
Feng
,
X.
,
2018
, “
Direct Fabrication of Stretchable Electronics on a Polymer Substrate With Process-Integrated Programmable Rigidity
,”
Adv. Funct. Mater.
,
28
(
50
), p.
1804604
. 10.1002/adfm.201804604
14.
Cai
,
M.
,
Nie
,
S.
,
Du
,
Y.
,
Wang
,
C.
, and
Song
,
J.
,
2019
, “
Soft Elastomers With Programmable Stiffness as Strain-Isolating Substrates for Stretchable Electronics
,”
ACS Appl. Mater. Inter.
,
11
(
15
), pp.
14340
14346
. 10.1021/acsami.9b01551
15.
Gonzalez
,
M.
,
Axisa
,
F.
,
Bulcke
,
M. V.
,
Brosteaux
,
D.
,
Vandevelde
,
B.
, and
Vanfleteren
,
J.
,
2008
, “
Design of Metal Interconnects for Stretchable Electronic Circuits
,”
Microelectron. Reliab.
,
48
(
6
), pp.
825
832
. 10.1016/j.microrel.2008.03.025
16.
Hsu
,
Y. Y.
,
Gonzalez
,
M.
,
Bossuyt
,
F.
,
Axisa
,
F.
,
Vanfleteren
,
J.
, and
Wolf
,
I. D.
,
2011
, “
The Effects of Encapsulation on Deformation Behavior and Failure Mechanisms of Stretchable Interconnects
,”
Thin Solid Films
,
519
(
7
), pp.
2225
2234
. 10.1016/j.tsf.2010.10.069
17.
Zhang
,
Y.
,
Wang
,
S.
,
Li
,
X.
,
Fan
,
J. A.
,
Xu
,
S.
,
Song
,
Y. M.
,
Choi
,
K. J.
,
Yeo
,
W. H.
,
Lee
,
W.
,
Nazaar
,
S. N.
,
Lu
,
B.
,
Yin
,
L.
,
Hwang
,
K. C.
,
Rogers
,
J. A.
, and
Huang
,
Y.
,
2014
, “
Experimental and Theoretical Studies of Serpentine Microstructures Bonded to Prestrained Elastomers for Stretchable Electronics
,”
Adv. Funct. Mater.
,
24
(
14
), pp.
2028
2037
. 10.1002/adfm.201302957
18.
Huang
,
Y.
,
Duan
,
Y.
,
Ding
,
Y.
,
Bu
,
N.
,
Pan
,
Y.
,
Lu
,
N.
, and
Yin
,
Z.
,
2014
, “
Versatile, Kinetically Controlled, High Precision Electrohydrodynamic Writing of Micro/Nanofibers
,”
Sci. Rep.
,
4
, p.
5949
. 10.1038/srep05949
19.
Lu
,
N.
,
Lu
,
C.
,
Yang
,
S.
, and
Rogers
,
J. A.
,
2012
, “
Highly Sensitive Skin-Mountable Strain Gauges Based Entirely on Elastomers
,”
Adv. Funct. Mater.
,
22
(
19
), pp.
4044
4050
. 10.1002/adfm.201200498
20.
Zhang
,
Y.
,
Xu
,
S.
,
Fu
,
H.
,
Lee
,
J.
,
Su
,
J.
,
Hwang
,
K. C.
,
Rogers
,
J. A.
, and
Huang
,
Y.
,
2013
, “
Buckling in Serpentine Microstructures and Applications in Elastomer-Supported Ultra-Stretchable Electronics With High Areal Coverage
,”
Soft Matter
,
9
(
33
), p.
8062
. 10.1039/c3sm51360b
21.
Yang
,
S.
,
Qiao
,
S.
, and
Lu
,
N.
,
2017
, “
Elasticity Solutions to Nonbuckling Serpentine Ribbons
,”
ASME J. Appl. Mech.
,
84
(
2
), p.
021004
. 10.1115/1.4035118
22.
Zhang
,
P.
, and
Parnell
,
W. P.
,
2017
, “
Band Gap Formation and Tunability in Stretchable Serpentine Interconnects
,”
ASME J. Appl. Mech.
,
84
(
9
), p.
091007
. 10.1115/1.4037314
23.
Xie
,
Z.
,
Ji
,
B.
, and
Huo
,
Q.
,
2018
, “
Mechanics Design of Stretchable Near Field Communication Antenna With Serpentine Wires
,”
ASME J. Appl. Mech.
,
85
(
4
), p.
045001
. 10.1115/1.4039102
24.
Liu
,
S.
,
Ha
,
T.
, and
Lu
,
N.
,
2019
, “
Experimentally and Numerically Validated Analytical Solutions to Nonbuckling Piezoelectric Serpentine Ribbons
,”
ASME J. Appl. Mech.
,
86
(
5
), p.
051010
. 10.1115/1.4042570
25.
Huang
,
Y.
,
Mu
,
Z.
,
Feng
,
P.
, and
Yuan
,
J.
,
2019
, “
Mechanics Design for Compatible Deformation of Fractal Serpentine Interconnects in High-Density Stretchable Electronics
,”
ASME J. Appl. Mech.
,
86
(
3
), p.
031011
. 10.1115/1.4042290
26.
Pan
,
T.
,
Pharr
,
M.
,
Ma
,
Y.
,
Ning
,
R.
,
Yan
,
Z.
,
Xu
,
R.
,
Feng
,
X.
,
Huang
,
Y.
, and
Rogers
,
J. A.
,
2017
, “
Experimental and Theoretical Studies of Serpentine Interconnects on Ultrathin Elastomers for Stretchable Electronics
,”
Adv. Funct. Mater.
,
27
(
37
), p.
1702589
. 10.1002/adfm.201702589
27.
Gonzalez
,
M.
,
Axisa
,
F.
,
Bossuyt
,
F.
,
Hsu
,
Y. Y.
,
Vandevelde
,
B.
, and
Vanfleteren
,
J.
,
2009
, “
Design and Performance of Metal Conductors for Stretchable Electronic Circuits
,”
Circuit World
,
35
(
1
), pp.
22
29
. 10.1108/03056120910928699
28.
Zhao
,
Q.
,
Liang
,
Z.
,
Lu
,
B.
,
Chen
,
Y.
,
Ma
,
Y.
, and
Feng
,
X.
,
2018
, “
Toothed Substrate Design to Improve Stretchability of Serpentine Interconnect for Stretchable Electronics
,”
Adv. Mater. Technol.
,
3
(
11
), p.
1800169
. 10.1002/admt.201800169
29.
Lee
,
C. S.
, and
Hwang
,
W.
,
2000
, “
Fatigue Life Prediction of Matrix Dominated Polymer Composite Materials
,”
Polym. Compos.
,
21
(
5
), pp.
798
805
. 10.1002/pc.10234
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