Capacity fade of lithium-ion batteries induced by chemo-mechanical degradation during charge-discharge cycles is the bottleneck in design of high-performance batteries, especially high-capacity electrode materials. Stress generated due to diffusion-mechanical coupling in lithium-ion intercalation and deintercalation is accompanied by swelling, shrinking, and even micro-cracking. In this paper, we propose a theoretical model for a cylindrical nanowire electrode by combining the bond-order-length-strength and diffusion theories. It is shown that size and concentration have a significant influence on the stress fields in radial, hoop, and axial directions. This can explain why a smaller electrode with a huge volume change survives in the lithiation/delithiation process.

1.
R.
Van Noorden
,
Nature
507
,
26
(
2014
).
2.
F.
Gao
and
W.
Hong
,
J. Mech. Phys. Solids
94
,
18
(
2016
).
3.
K.
Zhao
,
W. L.
Wang
,
J.
Gregoire
,
M.
Pharr
,
Z.
Suo
,
J. J.
Vlassak
, and
E.
Kaxiras
,
Nano Lett.
11
,
2962
(
2011
).
4.
Y.
Song
,
B.
Lu
,
X.
Ji
, and
J.
Zhang
,
J. Electrochem. Soc.
159
,
A2060
(
2012
).
5.
H.
Yang
,
W.
Liang
,
X.
Guo
,
C. M.
Wang
, and
S.
Zhang
,
Extreme Mech. Lett.
2
,
1
(
2015
).
6.
J.
Vetter
,
P.
Novák
,
M.
Wagner
,
C.
Veit
,
K. C.
Möller
,
J.
Besenhard
,
M.
Winter
,
M.
Wohlfahrt-Mehrens
,
C.
Vogler
, and
A.
Hammouche
,
J. Power Sources
147
,
269
(
2005
).
7.
X.
Gao
,
Z.
Ma
,
W.
Jiang
,
P.
Zhang
,
Y.
Wang
,
Y.
Pan
, and
C.
Lu
,
J. Power Sources
311
,
21
(
2016
).
8.
S.
Prussin
,
J. Appl. Phys.
32
,
1876
(
1961
).
9.
L.
Brassart
and
Z.
Suo
,
J. Mech. Phys. Solids
61
,
61
(
2013
).
10.
Z.
Cui
,
F.
Gao
, and
J.
Qu
,
J. Mech. Phys. Solids
60
,
1280
(
2012
).
11.
Z. S.
Ma
,
Z. C.
Xie
,
Y.
Wang
,
P. P.
Zhang
,
Y.
Pan
,
Y. C.
Zhou
, and
C.
Lu
,
J. Power Sources
290
,
114
(
2015
).
12.
Z.
Xie
,
Z.
Ma
,
Y.
Wang
,
Y.
Zhou
, and
C.
Lu
,
RSC Adv.
6
,
22383
(
2016
).
13.
V. A.
Sethuraman
,
M. J.
Chon
,
M.
Shimshak
,
V.
Srinivasan
, and
P. R.
Guduru
,
J. Power Sources
195
,
5062
(
2010
).
14.
P.
Zhang
,
Z.
Ma
,
W.
Jiang
,
Y.
Wang
,
Y.
Pan
, and
C.
Lu
,
AIP Adv.
6
,
015107
(
2016
).
15.
P. R.
Abel
,
Y. M.
Lin
,
H.
Celio
,
A.
Heller
, and
C. B.
Mullins
,
ACS Nano
6
,
2506
(
2012
).
16.
K.
Chen
and
D.
Xue
,
J. Phys. Chem. C
117
,
22576
(
2013
).
17.
P. G.
Bruce
,
B.
Scrosati
, and
J. M.
Tarascon
,
Angew. Chem. Int. Ed.
47
,
2930
(
2008
).
18.
K.
Chen
,
F.
Liu
,
S.
Song
, and
D.
Xue
,
CrystEngComm
16
,
7771
(
2014
).
19.
K.
Chen
and
D.
Xue
,
Sci. Sin. Tech.
45
,
36
(
2015
).
20.
R.
Dingreville
,
J.
Qu
, and
C.
Mohammed
,
J. Mech. Phys. Solids
53
,
1827
(
2005
).
21.
J.
Li
,
S.
Ma
,
X.
Liu
,
Z.
Zhou
, and
C. Q.
Sun
,
Chem. Rev.
112
,
2833
(
2012
).
22.
Y. T.
Cheng
and
M. W.
Verbrugge
,
J. Electrochem. Soc.
157
,
A508
(
2010
).
23.
K.
Chen
and
D.
Xue
,
Sci. China Technol. Sci.
58
,
1768
(
2015
).
24.
F.
Liu
and
D.
Xue
,
Sci. China Technol. Sci.
58
,
1841
(
2015
).
25.
K.
Chen
,
S.
Song
,
F.
Liu
, and
D.
Xue
,
Chem. Soc. Rev.
44
,
6230
(
2015
).
26.
Y. T.
Cheng
and
M. W.
Verbrugge
,
J. Appl. Phys.
104
,
083521
(
2008
).
27.
X. H.
Liu
,
L.
Zhong
,
S.
Huang
,
S. X.
Mao
,
T.
Zhu
, and
J. Y.
Huang
,
ACS Nano
6
,
1522
(
2012
).
28.
K.
Zhao
,
M.
Pharr
,
J. J.
Vlassak
, and
Z.
Suo
,
J. Appl. Phys.
108
,
073517
(
2010
).
29.
I.
Ryu
,
J. W.
Choi
,
Y.
Cui
, and
W. D.
Nix
,
J. Mech. Phys. Solids
59
,
1717
(
2011
).
30.
C. Q.
Sun
,
Prog. Solid State Chem.
35
,
1
(
2007
).
31.
C. Q.
Sun
,
Phys. Rev. B
69
,
045105
(
2004
).
32.
Z.
Ma
,
S.
Long
,
Y.
Pan
, and
Y.
Zhou
,
J. Appl. Phys.
103
,
043512
(
2008
).
33.
R.
Deshpande
,
Y. T.
Cheng
, and
M. W.
Verbrugge
,
J. Power Sources
195
,
5081
(
2010
).
34.
J.
Li
,
X.
Xiao
,
Y. T.
Cheng
, and
M. W.
Verbrugge
,
J. Phys. Chem. Lett.
4
,
3387
(
2013
).
35.
T.
Hatchard
,
D.
MacNeil
,
A.
Basu
, and
J.
Dahn
,
J. Electrochem. Soc.
148
,
A755
(
2001
).
36.
C. Q.
Sun
,
Prog. Mater. Sci.
54
,
179
(
2009
).
37.
L.
Pauling
,
J. Am. Chem. Soc.
69
,
542
(
1947
).
38.
V.
Goldschmidt
,
Ber. Derch. Chem. Ges.
60
,
1263
(
1927
).
39.
W.
Huang
,
R.
Sun
,
J.
Tao
,
L.
Menard
,
R.
Nuzzo
, and
J.
Zuo
,
Nat. Mater.
7
,
308
(
2008
).
40.
L.
Pan
and
C. Q.
Sun
,
J. Appl. Phys.
95
,
3819
(
2004
).
41.
Z.
Ma
,
T.
Li
,
Y.
Huang
,
J.
Liu
,
Y.
Zhou
, and
D.
Xue
,
RSC Adv.
3
,
7398
(
2013
).
42.
Y.
Li
,
K.
Zhang
, and
B.
Zheng
,
J. Electrochem. Soc.
162
,
A223
(
2015
).
43.
F.
Yang
,
Sci. China Phys. Mech.
55
,
955
(
2012
).
44.
X.
Li
,
Q.
Fang
,
J.
Li
,
H.
Wu
,
Y.
Liu
, and
P.
Wen
,
Solid State Ionics
281
,
21
(
2015
).
45.
C.
Chen
,
Y.
Shi
,
Y.
Zhang
,
J.
Zhu
, and
Y.
Yan
,
Phys. Rev. Lett.
96
,
075505
(
2006
).
46.
G. Y.
Jing
,
H. L.
Duan
,
X. M.
Sun
,
Z. S.
Zhang
,
J.
Xu
,
Y. D.
Li
,
J. X.
Wang
, and
D. P.
Yu
,
Phys. Rev. B
73
,
235409
(
2006
).
47.
Z.
Ma
,
Z.
Zhou
,
Y.
Huang
,
Y.
Zhou
, and
C. Q.
Sun
,
Sci. China Phys. Mech.
55
,
963
(
2012
).
48.
C.
Wang
,
Z.
Ma
,
Y.
Wang
, and
C.
Lu
,
J. Electrochem. Soc.
163
,
A1157
(
2016
).
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