Mechanical stresses and failure are believed to be a major cause for the limited cycle life of lithium-ion batteries employing high capacity Si electrodes. Recent experiments have shown that patterned Si thin film electrodes on substrate exhibit improved cycling stability and substantial sliding at the film/substrate interface. To facilitate experimental studies of stress evolution in such systems, we have developed a modified Stoney equation which accounts for the effect of interfacial sliding on the relationship between curvature and stress in patterned thin films on substrate.

References

References
1.
Kasavajjula
,
U.
,
Wang
,
C.
, and
Appleby
,
A. J.
, 2007, “
Nano- and Bulk-Silicon-Based Insertion Anodes for Lithium-Ion Secondary Cells
,”
J. Power Sources
,
163
(
2
), pp.
1003
1039
.
2.
Beaulieu
,
L. Y.
,
Eberman
,
K. W.
,
Turner
,
R. L.
,
Krause
,
L. J.
, and
Dahn
,
J. R.
, 2001, “
Colossal Reversible Volume Changes in Lithium Alloys
,”
Electrochem. Solid-State Lett.
,
4
(
9
), pp.
A137
A140
.
3.
Chan
,
C. K.
,
Peng
,
H.
,
Liu
,
G.
,
McIlwrath
,
K.
,
Zhang
,
X. F.
,
Huggins
,
R. A.
, and
Cui
,
Y.
, 2008, “
High-Performance Lithium Battery Anodes Using Silicon Nanowires
,”
Nat. Nanotechnol.
,
3
, pp.
31
35
.
4.
Cui
,
L.-F.
,
Yang
,
Y.
,
Hsu
,
C.-M.
, and
Cui
,
Y.
, 2009, “
Carbon-Silicon Core-Shell Nanowires as High Capacity Electrode for Lithium Ion Batteries
,”
Nano Lett.
,
9
(
9
), pp.
3370
3374
.
5.
Xiao
,
X.
,
Liu
,
P.
,
Verbrugge
,
M. W.
,
Haftbaradaran
,
H.
, and
Gao
,
H.
, 2011 “
Improved Cycling Stability of Silicon Thin Film Electrodes Through Patterning for High Energy Density Lithium Batteries
,”
J. Power Sources
,
196
(
3
), pp.
1409
1416
.
6.
Sethuraman
,
A.
,
Chon
,
M. J.
,
Shimshak
,
M.
,
Srinivasan
,
V.
, and
Guduru
,
P. R.
, 2010, “
In Situ Measurements of Stress Evolution in Silicon Thin Films During Electrochemical Lithiation and Delithiation
,”
J. Power Sources
,
195
(
15
), pp.
5062
5066
.
7.
Li
,
Q.
, and
Kim
,
K.-S.
, 2008, “
Micromechanics of Friction: Effects of Nanometre-Scale Roughness
,”
Proc. R. Soc. A
,
464
(
2093
), pp.
1319
1343
.
8.
Soni
,
S. K.
,
Sheldon
,
B. W.
,
Xiao
,
X.
,
Ahn
,
D.
,
Verbrugge
,
M. W.
,
Haftbaradaran
,
H.
, and
Gao
,
H.
, 2012, “
Stress Mitigation During the Lithiation of Patterned Amorphous Si Islands
,”
J. Electrochem. Soc.
,
159
(
1
), pp.
A38
A43
.
9.
Freund
,
L. B.
, and
Suresh
,
S.
, 2003,
Thin Film Materials: Stress, Defect Formation, and Surface Evolution
,
Cambridge University Press
,
Cambridge, UK
.
10.
Freund
,
L. B.
, 1993, “
The Stress Distribution and Curvature of a General Compositionally Graded Semiconductor Layer
,”
J. Cryst. Growth
,
132
(
1–2
), pp.
341
344
.
11.
Freund
,
L. B.
, 2000, “
Substrate Curvature Due to Thin Film Mismatch Strain in the Nonlinear Deformation Range
,”
J. Mech. Phys. Solids
,
48
(
6–7
), pp.
1159
1174
.
12.
Shenoy
,
V. B.
,
Qi
,
Y.
, and
Johari
,
P.
, 2010, “
Elastic Softening of Amorphous and Crystalline Li–Si Phases With Increasing Li Concentration: A First-Principles Study
,”
J. Power Sources
,
195
(
19
), pp.
6825
6830
.
13.
Soni
,
S. K.
,
Sheldon
,
B. W.
,
Tokranov
,
A.
, and
Xiao
,
X.
, 2011, “
Thickness Effects on the Lithiation of Amorphous Silicon Thin Films
,”
Scr. Mater.
,
64
(
4
), pp.
307
310
.
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