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Research Papers

A Chemo-Elastoplastic Analysis of Anisotropic Swelling in an SnO2 Nanowire Under Lithiation

[+] Author and Article Information
B. Yang

 Department of Mechanical and Aerospace Engineering, University of Texas at Arlington, Arlington, TX 76019boyang@uta.edu

J. Irsa

 Department of Geology and Geophysics, University of Wyoming, Laramie, WY 82071

Y.-P. He, Y.-P. Zhao

 Department of Physics and Astronomy, Nanoscale Science and Engineering Center, University of Georgia, Athens, GA 30602

C. A. Lundgren

 Army Research Laboratory, Adelphi, MD 20783

J. Eng. Mater. Technol 134(3), 031013 (May 16, 2012) (5 pages) doi:10.1115/1.4006502 History: Received September 30, 2011; Revised January 31, 2012; Published May 16, 2012; Online May 16, 2012

A parametric study is carried out to shed light on the elastoplastic behavior of a nanowire under lithiation. The Li-ion diffusivity is assumed to be significantly higher at near-saturation than at dilute concentration. It leads to the prediction of an Li-ion diffusion jam and consequently a topologically steep step moving along the wire. The analysis shows that the different plastic flow rates due to the different constraint conditions along the longitudinal and radial directions result in apparent anisotropic volume expansion. Either lower yield strength, smaller strain hardening ratio, or higher charging rate would cause greater swelling anisotropy. The numerical results are compared with the experimental observation of an SnO2 nanowire (Huang , 2011, “In Situ Observation of the Electrochemical Lithiation of a Single SnO2 Nanowire Electrode,” Science, 330 , pp. 1515–1520) to suggest its elastoplastic properties under lithiation.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic showing the diffusion field and deformation profile of a nanowire under longitudinal lithiation

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Figure 2

Axisymmetric contour plots of von Mises stress in a nanowire at various stages of lithiation when the jam front arrives at (a)z/R = −1, (b) z/R = 1, (c) z/R = 3, and (d) z/R = 5. The spacing between adjacent ticks is equal to one unit of length (i.e., R) in both directions.

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Figure 3

Axisymmetric contour plots of the first principal stress in a nanowire at various stages of lithiation when the jam front arrives at (a)z/R = −1, (b) z/R = 1, (c) z/R = 3, and (d) z/R = 5. The spacing between adjacent ticks is equal to one unit of length (i.e., R) in both directions.

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Figure 4

Axisymmetric contour plots of hydrostatic stress in a nanowire at various stages of lithiation when the jam front arrives at (a)z/R = −1, (b) z/R = 1, (c) z/R = 3, and (d) z/R = 5. The spacing between adjacent ticks is equal to one unit of length (i.e., R) in both directions.

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Figure 5

Variations of radial (solid) and longitudinal (dashed) expansion ratios with strain hardening ratio Hp at various values of normalized yield strength σY /E = 0.01, 0.03, 0.05, 0.07, and 0.1 and at fixed charging rate Ĵ0 = 2

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Figure 6

Variations of radial (solid) and longitudinal (dashed) expansion ratios with strain hardening ratio Hp at various normalized charging rates Ĵ0 = 1, 2, and 4 and at fixed normalized yield strength σY /E = 0.03

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