Effect of local deformation on the coupling between diffusion and stress in lithium-ion battery

Effect of local deformation on the coupling between diffusion and stress in lithium-ion battery It is known that the local deformation in electrode plays an important role in controlling the migration rate of lithium in lithium-ion battery, which can alter the stress state in electrode. This work derives a new diffusion equation, which takes account of the effect of the local velocity in an electrode, to describe the migration of lithium in the electrode. The effects of the local velocity on the lithium migration and stress evolution are analyzed, using the derived diffusion equation and the theory of linear elasticity. Numerical analysis of diffusion-induced stress in an isotropic, spherical electrode is performed. The numerical results show that there is a larger concentration gradient in the spherical electrode with the effect of local velocity than that without the effect of local velocity, which results in larger magnitudes of radial stress, hoop stress, and von-Mises stress than the corresponding magnitudes without the effect of local velocity. The effects of the current density on the distributions of the lithium concentration and stresses are also analyzed. For a small lithiation rate, the concentration gradient is relatively small, and the stresses in the spherical electrode are small. The results suggest that using small lithiation rates can retard the electrode from fast capacity fading and mechanical degradation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Solids and Structures Elsevier

Effect of local deformation on the coupling between diffusion and stress in lithium-ion battery

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Publisher
Elsevier
Copyright
Copyright © 2016 Elsevier Ltd
ISSN
0020-7683
eISSN
1879-2146
D.O.I.
10.1016/j.ijsolstr.2016.02.029
Publisher site
See Article on Publisher Site

Abstract

It is known that the local deformation in electrode plays an important role in controlling the migration rate of lithium in lithium-ion battery, which can alter the stress state in electrode. This work derives a new diffusion equation, which takes account of the effect of the local velocity in an electrode, to describe the migration of lithium in the electrode. The effects of the local velocity on the lithium migration and stress evolution are analyzed, using the derived diffusion equation and the theory of linear elasticity. Numerical analysis of diffusion-induced stress in an isotropic, spherical electrode is performed. The numerical results show that there is a larger concentration gradient in the spherical electrode with the effect of local velocity than that without the effect of local velocity, which results in larger magnitudes of radial stress, hoop stress, and von-Mises stress than the corresponding magnitudes without the effect of local velocity. The effects of the current density on the distributions of the lithium concentration and stresses are also analyzed. For a small lithiation rate, the concentration gradient is relatively small, and the stresses in the spherical electrode are small. The results suggest that using small lithiation rates can retard the electrode from fast capacity fading and mechanical degradation.

Journal

International Journal of Solids and StructuresElsevier

Published: Jun 1, 2016

References

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