The effects of hydrostatic stress and concentration-dependent elastic modulus on diffusion-induced stress (DIS) in a cylindrical Li-ion battery are studied. It is found that the hydrostatic stress has little effect on the distribution of stresses but the change of elastic modulus has a significant effect on the distribution of stresses. The hydrostatic stress has little effect on the location of maximum hoop stress in active layer. The change of elastic modulus can slow down the trend with closing to the inner surface for the location of the maximum hoop stress in active layer with the thicker current collector or larger modulus of current collector and speed up the trend with closing to the outer surface with the smaller ratio of electrode radius to thickness. The current collector should be as thin and soft as possible when its premise strength is satisfied. The ratio of electrode radius to thickness should be preferably larger than 15.
References
1.
Tarascon
, J. M.
, and Armand
, M.
, 2001
, “Issues and Challenges Facing Rechargeable Lithium Batteries
,” Nature
, 414
, pp. 359
–367
.10.1038/351046442.
Prussin
, S.
, 1961
, “Generation and Distribution of Dislocations by Solute Diffusion
,” J. Appl. Phys.
, 32
(10
), pp. 1876
–1881
.10.1063/1.17282563.
Wolfenstine
, J.
, 2003
, “A High Ratio of the Testing Temperature to the Melting Temperature: A Necessary but Not Sufficient Condition for an Alloy Anode to Exhibit Low Capacity Fade
,” Mater. Lett.
, 57
, pp. 3983
–3986
.10.1016/S0167-577X(03)00251-94.
Zhao
, K.
, Pharr
, M.
, Vlassak
, J. J.
, and Suo
, Z.
, 2010
, “Fracture of Electrodes in Lithium-Ion Batteries Caused by Fast Charging
,” J. Appl. Phys.
, 108
(7
), p. 073517
.10.1063/1.34926175.
Cheng
, Y. T.
, and Verbrugge
, M. W.
, 2009
, “Evolution of Stress Within a Spherical Insertion Electrode Particle Under Potentiostatic and Galvanostatic Operation
,” J. Power Sources
, 190
, pp. 453
–460
.10.1016/j.jpowsour.2009.01.0216.
Zhang
, X. C.
, Shyy
, W.
, and Sastry
, A. M.
, 2007
, “Numerical Simulation of Intercalation-Induced Stress in Li-Ion Battery Electrode Particles
,” J. Electrochem. Soc.
, 154
(10
), pp. A910
–A916
.10.1149/1.27598407.
Chu
, J. L.
, and Lee
, S. B.
, 1994
, “The Effect of Chemical Stresses on Diffusion
,” J. Appl. Phys.
, 75
(6
), pp. 2823
–2829
.10.1063/1.3561748.
Christensen
, J.
, and Newman
, J.
, 2006
, “Stress Generation and Fracture in Lithium Insertion Materials
,” J. Solid State Electron.
, 10
(5
), pp. 293
–319
.10.1007/s10008-006-0095-19.
Song
, Y. C.
, Lu
, B.
, Ji
, X.
, and Zhang
, J. Q.
, 2012
, “Diffusion Induced Stresses in Cylindrical Lithium-Ion Batteries: Analytical Solutions and Design Insights
,” J. Electrochem. Soc.
, 159
(12
), pp. A2060
–A2068
.10.1149/2.079212jes10.
Kalnaus
, S.
, Rhodes
, K.
, and Daniel
, C.
, 2011
, “A Study of Lithium Ion Intercalation Induced Fracture of Silicon Particles Used as Anode Material in Li-Ion Battery
,” J. Power Sources
, 196
(19
), pp. 8116
–8124
.10.1016/j.jpowsour.2011.05.04911.
Maxisch
, T.
, and Ceder
, G.
, 2006
, “Elastic Properties of Olivine LixFePO4 From First Principles
,” Phys. Rev. B
, 73
(17
), p. 174112
.10.1103/PhysRevB.73.17411212.
Qi
, Y.
, Guo
, H.
, Hector
, Jr., L. G.
, and Timmons
, A.
, 2010
, “Threefold Increase in the Young's Modulus of Graphite Negative Electrode During Lithium Intercalation
,” J. Electrochem. Soc.
, 157
(5
), pp. A558
–A566
.10.1149/1.332791313.
Stournara
, M. E.
, Guduru
, P. R.
, and Shenoy
, V. B.
, 2012
, “Elastic Behavior of Crystalline Li–Sn Phases With Increasing Li Concentration
,” J. Power Sources
, 208
(15
), pp. 165
–169
.10.1016/j.jpowsour.2012.02.02214.
Shenoy
, V. B.
, Johari
, P.
, and Qi
, Y.
, 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
.10.1016/j.jpowsour.2010.04.04415.
Yang
, B.
, He
, Y.-P.
, Irsa
, J.
, Lundgren
, C. A.
, Ratchford
, J. B.
, and Zhao
, Y.-P.
, 2012
, “Effects of Composition-Dependent Modulus, Finite Concentration and Boundary Constraint on Li-Ion Diffusion and Stresses in a Bilayer Cu-Coated Si Nano-Anode
,” J. Power Sources
, 204
, pp. 168
–176
.10.1016/j.jpowsour.2012.01.02916.
Yang
, F. Q.
, 2012
, “Diffusion-Induced Stress in Inhomogeneous Materials: Concentration-Dependent Elastic Modulus
,” Sci. China-Phys. Mech. Astron.
, 55
(6
), pp. 955
–962
.10.1007/s11433-012-4687-817.
Deshpande
, R.
, Qi
, Y.
, and Cheng
, Y. T.
, 2010
, “Effects of Concentration-Dependent Elastic Modulus on Diffusion-Induced Stresses for Battery Applications
,” J. Electrochem. Soc.
, 157
, pp. A967
–A971
.10.1149/1.345476218.
Song
, Y. C.
, Shao
, X. J.
, Guo
, Z. S.
, and Zhang
, J. Q.
, 2013
, “Role of Material Properties and Mechanical Constraint on Stress-Assisted Diffusion in Plate Electrodes of Lithium Ion Batteries
,” J. Phys. D
, 46
, pp. 105307
–105316
.10.1088/0022-3727/46/10/10530719.
Gao
, Y. F.
, and Zhou
, M.
, 2011
, “Strong Stress-Enhanced Diffusion in Amorphous Lithium Alloy Nanowire Electrodes
,” J. Appl. Phys.
, 109
(1
), pp. 014310
–014316
.10.1063/1.353073820.
Larche
, F. C.
, and Cahn
, J. W.
, 1985
, “Overview No. 41. The Interactions of Composition and Stress in Crystalline Solids
,” Acta Metall.
, 33
(3
), pp. 331
–357
.10.1016/0001-6160(85)90077-X21.
Crank
, J.
, 1979
, The Mathematics of Diffusion
, Oxford University
, London
.22.
García
, R. E.
, Chiang
, Y.-M.
, Carter
, W. C.
, Limthongkul
, P.
, and Bishop
, C. M.
, 2005
, “Microstructural Modeling and Design of Rechargeable Lithium-Ion Batteries
,” J. Electrochem. Soc.
, 152
(1
), pp. A255
–A263
.10.1149/1.183613223.
Shi
, D. H.
, 2010
, Stress Analysis of the Separator in a Lithium-Ion Battery
, Michigan State University
, Ann Arbor, MI.Copyright © 2014 by ASME
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