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Two-way coupled analysis of lithium diffusion and diffusion induced finite elastoplastic bending of bilayer electrodes in lithium-ion batteries

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  • 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
    2. Department of Mechanics, Shanghai University, Shanghai 200444, China;
    3. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China;
    4. Materials Genome Institute, Shanghai University, Shanghai 200072, China

Received date: 2018-03-21

  Revised date: 2018-05-28

  Online published: 2018-11-01

Supported by

Project supported by the National Natural Science Foundation of China (No. 11332005)

Abstract

A fully coupling model for the diffusion induced finite elastoplastic bending of bilayer electrodes in lithium-ion batteries is proposed. The effect of the mechanical stress on the lithium diffusion is accounted for by the mechanical part of the chemical potential derived from the Gibbs free energy along with the logarithmic stress and strain. Eight dimensionless parameters, governing the stress-assisted diffusion and the diffusion induced elastoplastic bending, are identified. It is found that the finite plasticity starting from the interface of the bilayer increases the chemical potential gradient and thereby facilitates the lithium diffusion. The full plastic flow makes the abnormal lithium concentration distribution possible, i.e., the concentration at the lithium inlet can be lower than the concentration at the interface (downstream). The increase in the thickness of the active layer during charging is much larger than the eigen-stretch due to lithiation, and this excess thickening is found to be caused by the lithiation induced plastic yield.

Cite this article

Jun YIN, Xianjun SHAO, Bo LU, Yicheng SONG, Junqian ZHANG . Two-way coupled analysis of lithium diffusion and diffusion induced finite elastoplastic bending of bilayer electrodes in lithium-ion batteries[J]. Applied Mathematics and Mechanics, 2018 , 39(11) : 1567 -1586 . DOI: 10.1007/s10483-018-2386-6

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