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The Non-local Effects Induced by Rapid Transient Mass Diffusion in a Spherical Silicon Electrode of Lithium-ion Batteries

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Abstract

For the development of the fast charging technology of lithium-ion batteries, describing the rapid transient mass diffusion process accurately is the premise to avert the mechanical degradation caused by the diffusion-induced stress. In this paper, we present a diffusion-elasticity model based on the finite deformation theory with the consideration of non-local effects of mass transfer. The proposed model is then applied to analyze the evolution and distribution of stress and lithium concentration in a silicon electrode during the rapid charging process under potentiostatic operation. The cases with and without the contribution of non-local diffusion effects are both calculated for comparative analysis. The dependence of the influence of non-local effects on diffusion relaxation time \(\tau _{\mathrm{0}} \) is discussed. The results show that a diffusive wave appears when the value of \(\tau _{\mathrm{0}}\) is sufficiently large, and it moves inside gradually during the rapid charging process, which is qualitatively consistent with the results from literature.

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Acknowledgements

The authors are grateful for the support from the National Natural Science Foundation of China under Grant Nos. 11902222 and 11672210 and National Key Research and Development Program of China under Grant No. 2016YFC0300600.

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Authors and Affiliations

  1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, China

    Feng Wang, Kai Zhang & Bailin Zheng

Authors
  1. Feng Wang
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  2. Kai Zhang
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  3. Bailin Zheng
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Contributions

The numerical simulation was carried out by WF and ZK. WF was a major contributor in writing the manuscript, under the guidance of Z BL. All authors read and approved the final manuscript.

Corresponding authors

Correspondence to Kai Zhang or Bailin Zheng.

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Funding

The authors are grateful for the support from the National Natural Science Foundation of China under Grant Nos. 11902222 and 11672210 and the National Key Research and Development Program of China under Grant No. 2016YFC0300600.

Conflict of interests

The authors declare that they have no competing interests.

Availability of data and materials

The datasets analyzed during the current study are available from the corresponding author on reasonable request.

Code availability

The codes used in the current study are available from the corresponding author on reasonable request.

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Wang, F., Zhang, K. & Zheng, B. The Non-local Effects Induced by Rapid Transient Mass Diffusion in a Spherical Silicon Electrode of Lithium-ion Batteries. Acta Mech. Solida Sin. 35, 174–184 (2022). https://doi.org/10.1007/s10338-021-00257-5

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  • DOI: https://doi.org/10.1007/s10338-021-00257-5

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